mathematics problem solving questions year 6

35 year 6 maths questions

Practise 35 year 6 maths questions that will help your child stay on track!

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Author Amber Watkins

mathematics problem solving questions year 6

Published February 2024

mathematics problem solving questions year 6

  • Key takeaways
  • Year 6 maths word problems help students apply mathematical concepts to real-world scenarios.
  • In year 6 maths, it’s important to master fractions, decimals, and order of operations.
  • Hard problems  can be simplified by drawing a picture or using a method that makes them easier to solve.

Table of contents

  • Word problems

Numbers & place value

Multiplication.

If this maths page has 5 sections of maths questions  with an average of 7 questions in each section, can you guess how many problems there will be in all? That’s right, there will be a total of 35 year 6 maths questions for us to practise. Without realising it, you just solved one of our first year 6 word problems . Excellent work! Together we will review year 6 maths problems with decimals, fractions, order of operations, and rounding. We will even consider hard maths problems, like multiplying using square models and number lines. Don’t worry about getting the answers right the first time, each section includes answers if you need a sneak peek. So grab a pad and pencil and let’s begin.

Year 6 maths word problems

Let’s begin by covering maths word problems.

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Mia’s water bottle can hold 300 millilitres of water. She drinks two and a half water bottles each day. How many total millilitres of water does Mia drink each day? 

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The playground is made up of four rectangular lots that are each 10 metres by 7 metres. What is the total area of the playground?

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 Josh lives 2.5 kilometres away from the park. Josh rides his bike to the park and back home four days a week. How many kilometres does Josh ride his bike each week?

Since we are solving word problems, a word should always be in our answer.

In this section, we will cover maths questions that use place values, word form to standard form, standard form to word form, and expanded form.

Place value

Which digit in the number 245 is in the hundreds place?

Which digit in the number 4,602 is in the tens place?

Which digit in the number 752 is in the ones place?

Word form to standard form

Standard form to expanded form.

4,000 + 300 + 2 = 4,302

600 + 50 + 4 = 654

20,000 + 2,000 + 300 + 60 + 5 = 22,365

In this section, we will cover year six maths questions that include comparing decimals and rounding decimals to the nearest tenth, hundredth, and thousandths place. Let’s get started.

8.9 and 8.900 are the same.

Remember if the number to the right is 5 or larger, you can borrow and become one digit larger. If the number to the right is between 0 and 4, you can’t borrow and the number remains the same.

In this section, we will review maths questionss for year six that cover the topics of adding and subtracting two and three-digit numbers using transformation, division using area models, and the order of operations.

Adding and subtracting whole numbers by transformation

A large portion of year 6 maths problems can be made easier to solve by transformation or changing numbers to make the problem simpler. Let’s practise adding and subtracting two and three-digit numbers by transformation.

How to add numbers using transformation?

When adding or subtracting numbers, look for ways to round to make the problem simpler. Don’t forget what you do to one number, you have to do the opposite to the other. This makes sure the problem stays balanced. Let’s see how this is done. What is 48 + 52? 48 + 2 = 50

52 – 2 = 50 

50 + 50 = 100.

It may be difficult to add 48 + 52 in your head, so we round 48 to 50 by adding 2. Since we added 2 to the first number, we have to make sure to subtract 2 from the second number. So now the problem is 50 plus 50, which is much easier to calculate! 

32 – 2 = 30 68 + 2 = 70 30 + 70 = 100 The answer is 100.

208 – 8 = 200 432 + 8 = 440 200 + 440 = 640 The answer is 640.

321- 1 = 320 199 + 1 = 200 320- 200 = 120 The answer is 120

mathematics problem solving questions year 6

Division using area models

Don’t know what an area model is? See our area model guide to help with these problems.

Using an area model find the quotient of 365 ፥ 5 =

mathematics problem solving questions year 6

Using an area model find the quotient of 504 ፥ 6 =

Using the area model below, find the quotient of 872 ፥ 2 =

Order of operations

Many people remember the Order of Operations with the acronym PEMDAS- “Please Excuse My Dear Aunt Sally”, with each letter representing an operation: Parentheses, Exponents, Multiply or Divide, Add or Subtract. Solve the following equations using the order of operations.

Remember that the steps Multiply or Divide can be done in any order. Also, the steps Add or Subtract can be done in any order, do the operation that comes first.

Some of the hardest maths questions involve multiplying: multiplying using square models, multiplying fractions and whole numbers using expanded form, and multiplying fractions using number lines. Let’s practise a few of each!

Multiplying using square models

Multiplying using square models is a method to help students “see” multiplication problems in a simpler way.

Multiply 42 x 35 using the square model below.

mathematics problem solving questions year 6

Multiply 55 x 76 using the square model below.

Multiply 98 x 42 using the square model below.

Multiplying fractions and whole numbers using expanded form

Multiply ½ x 5 using expanded form.

Multiply ⅔ x 6 using expanded form.

Multiply ⅙ x 7 using expanded form.

Multiplying fractions using a number line

For more maths practice for year 6 , our app for maths help provides year 6 maths help in a way that makes maths fun, rewards effort over being correct, and scaffolds learning. Plus, you’ll get access to a dashboard that displays your child’s participation and progression on maths topics they struggle with. Check it out today !

mathematics problem solving questions year 6

Parents, sign up for a DoodleMaths subscription and see your child become a maths wizard!

mathematics problem solving questions year 6

Word problem answer sheet

Mia drinks 750 millilitres  of water each day.

Explanation: 300 x 2 = 600. 300 / 2 = 150. 600 + 150 = 750.

280 square metres.

Explanation: The area of one lot is 10 x 7 = 70 metres. Take that area and times it by four, so 70 x 4 = 280 metres.

Josh rides 20 kilometres on his bike each week.

Explanation: Each day Josh rides 5 total kilometres: 2.5 kilometres to the park and 2.5 kilometres back home. If we multiply that number by 4 days a week, it equals 20 kilometres in all.

Writing numbers answer sheet

2 is in the hundreds place.

mathematics problem solving questions year 6

0 is in the tens place.

mathematics problem solving questions year 6

2 is in the ones place.

mathematics problem solving questions year 6

Division using area models answer sheet

mathematics problem solving questions year 6

Multiplying using square models answer sheet

mathematics problem solving questions year 6

Multiplying fractions and whole numbers using expanded form answer sheet

mathematics problem solving questions year 6

Multiplying fractions using a number line answer sheet

mathematics problem solving questions year 6

Explanation – First divide the number line into 6 equal parts and draw up a line up to 4/6. Then find the ½ way mark of that line you drew up to 4/6. You will now see the line is divided into three parts. So the answer would be ⅓. 

Lesson credits

mathematics problem solving questions year 6

Amber Watkins

Amber is an education specialist with a degree in Early Childhood Education. She has over 12 years of experience teaching and tutoring students in maths. "Knowing that my work in maths education makes such an impact leaves me with an indescribable feeling of pride and joy!"

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Year 6 Maths Worksheets UK Hub Page

Welcome to our Year 6 Maths Worksheets area.

Here you will find a wide range of free printable Year 6 Maths Worksheets for your child to enjoy.

Come and take a look at our rounding decimal pages, or maybe some of our adding and subtracting fractions worksheets. Perhaps you are looking for some worksheets about finding angles in a triangle, or need some ratio problem worksheets to help your child learn about ratio?

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  • This page contains links to other Math webpages where you will find a range of activities and resources.
  • If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

Year 6 Maths Learning

Here are some of the key learning objectives for the end of Year 6:

  • know and use Place value up to 10 million
  • Counting on and back in steps of powers of 10 from any number up to 10 million
  • Round numbers to any given degree of accuracy.
  • Count forwards and backwards through zero with positive and negative numbers.
  • Read Roman numerals to 1000 and recognise years written in Roman numerals
  • solve multi-step problems using addition and subtraction in a range of contexts
  • identify multiples and factors including common factors
  • multiply and divide up to 4-digit numbers by up to 2 digits
  • Use their knowledge of the order of operations to carry out calculations involving the four operations.
  • Identify common factors, common multiples and prime numbers.
  • solve problems involving addition, subtraction, multiplication and division
  • simplify fractions
  • compare and order fractions including mixed numbers
  • add and subtract fractions with different denominators including mixed numbers
  • multiply simple fractions together and simplify the answer
  • divide proper fractions by whole numbers
  • recall and use equivalence between simple fractions, decimals and percentages.
  • Multiply and divide whole numbers and decimals up to 3dp by 10, 100 or 1000
  • read, write, order and compare numbers up to 3dp
  • round decimals with up to 3dp to the nearest whole
  • solve problems with numbers up to 3dp
  • work out percentages of different amounts
  • solve problems using percentages
  • use simple formulae
  • express missing number problems using algebra
  • find pairs of numbers that satisfy equations with two variables
  • solve problems involving simple ratios
  • solve problems involving similar shapes where the scale factor is known
  • use, read, write and convert between standard units of measure
  • measure, compare and calculate using different measures
  • know that shapes with the same area can have different perimeters
  • find the area of parallelograms and right triangles
  • find the volume of cubes and cuboids
  • convert between miles and km
  • name and understand the parts of circles - radius, diameter and circumference
  • draw 2D shapes accurately using dimensions and angles
  • compate and classify 2D shapes by a range of properties
  • find missing angles in triangles, quadrilaterals and regular shapes
  • use coordinates in all 4 quadrants
  • draw and translate simple shapes in all 4 quadrants
  • interpret and construct pie charts and line graphs
  • calculate the mean as an average

Please note:

Our site is mainly based around the US Elementary school math standards.

Though the links on this page are all designed primarily for students in the US, but they are also at the correct level and standard for UK students.

The main issue is that some of the spelling is different and this site uses US spelling.

Year 6 is generally equivalent to 5th Grade in the US.

On this page you will find link to our range of math worksheets for Year 6.

Quicklinks to Year 6 ...

  • Place Value Zone
  • Mental Math Zone

Word Problems Zone

Fractions percents ratio zone.

  • Percentages Zone
  • Measurement Zone

Geometry Zone

Data analysis zone.

  • Fun Zone: games and puzzles

Coronavirus Stay At Home Support

For those parents who have found themselves unexpectedly at home with the kids and need some emergency activities for them to do, we have started to develop some Maths Grab Packs for kids in the UK.

Each pack consists of at least 10 mixed math worksheets on a variety of topics to help you keep you child occupied and learning.

The idea behind them is that they can be used out-of-the-box for some quick maths activities for your child.

They are completely FREE - take a look!

  • Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 6 number worksheets.

Here you will find a range of Free Printable Year 6 Number Worksheets.

Using these Year 6 maths worksheets will help your child to:

  • use place value with numbers up to 10 million;
  • use place value with up to 3 decimal places;
  • understand how to use exponents (powers) of a number;
  • understand and use parentheses (brackets);
  • understand and use multiples and factors;
  • extend their knowledge of prime and composite (non-prime) numbers up to 100;
  • know and be able to use the PEMDAS (or PEDMAS) rule.
  • Place Value Worksheets to 10 million
  • Place Value to 3dp
  • Ordering Decimals Worksheets
  • PEMDAS Rule Support Page
  • PEMDAS Problems Worksheets
  • Balancing Math Equations
  • Roman Numerals worksheets

Ordering Large Numbers and Decimals to 3dp

The sheets in this section involve ordering lists of decimals to 3 decimal places and also large numbers up to 100 million.

There are sheets with decimals up to 10, and also sheets with numbers from -10 to 10.

  • Ordering Large Numbers up to 100 million
  • Ordering Decimals to 3dp

Rounding Decimals

  • Rounding to the nearest tenth
  • Rounding Decimal Places Sheets to 2dp
  • Rounding Decimals Worksheet Challenges

Year 6 Decimal Counting Worksheets

Using these sheets will support you child to:

  • count on and back by multiples of 0.1;
  • fill in the missing numbers in sequences;
  • count on and back into negative numbers.
  • Counting By Decimals

Year 6 Mental Maths Zone

Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

  • Year 6 Mental Maths Tests

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Year 6 Addition Worksheets

  • add decimals including tenths and hundredths mentally;
  • add a columns of multi-digit numbers, including decimals.
  • Decimal Addition Fact Worksheets
  • 5th Grade Addition Worksheets BIG Numbers
  • Decimal Column Addition Worksheets
  • Money Worksheets (randomly generated)

Year 6 Subtraction Worksheets

Using these sheets will help your child to:

  • subtract decimals including tenths and hundredths mentally;
  • subtract multi-digit numbers, including decimals using column subtraction.
  • Subtracting Decimals Worksheets (mental)
  • Subtraction Worksheets up to Billions (columns)
  • Column Subtraction with Decimals

Year 6 Multiplication Worksheets

  • extend their knowlege of multiplication to decimals;
  • use their multiplication tables to answer related facts, including decimals;
  • multiply a range of decimals with up to 2 decimal places (2dp) by a whole number;
  • multiply different money amounts by a whole number.
  • Multiplying Decimals by 10 and 100
  • Multiplication Fact Sheet Decimals
  • Decimal Multiplication Worksheets to 1dp
  • Decimal Multiplication Worksheets to 2dp
  • Free Multiplication Worksheets (randomly generated)
  • Multiply and Divide by 10 100 (decimals)
  • Multiplication & Division Worksheets (randomly generated)
  • Multiplication Word Problems

Division Worksheets 5th Grade

Using these Year 6 maths worksheets will help your child learn to:

  • divide any whole number up to 10000 by a two digit number;
  • express any division with a remainder in the form of a mixed number (a number with a fraction part).
  • Long Division Worksheets (whole numbers)
  • Long Division of Decimal Numbers
  • Decimal Division Facts
  • Division Facts Worksheets (randomly generated)

Year 6 Maths Problems

  • apply their addition, subtraction, multiplication and division skills;
  • apply their knowledge of rounding and place value;
  • solve a range of problems including "real life" problems and ratio problems.

These sheets involve solving one or two more challenging longer problems.

  • Year 6 Math Problems (5th Grade)

These sheets involve solving many 'real-life' problems involving data.

  • Year 6 Math Word Problems (5th Grade)

These sheets involve solving a range of ratio problems.

Year 6 Fraction Worksheets

Year 6 percentage worksheets, year 6 ratio worksheets.

  • compare and order fractions;
  • add and subtract fractions and mixed numbers;
  • understand how to multiply fractions by a whole number;
  • understand how to multiply two fractions together, including mixed fractions;
  • understand the relationship between fractions and division;
  • know how to divide fractions and mixed fractions;
  • convert decimals to fractions.
  • Comparing Fractions Worksheet page
  • Adding Fractions Worksheets
  • Adding Improper Fractions
  • Subtracting Fractions Worksheets
  • Adding Subtracting Fractions Worksheets
  • Improper Fraction Worksheets
  • Converting Decimals to Fractions Worksheets
  • Fractions Decimals Percents Worksheets
  • Multiplying Fractions Worksheets
  • Dividing Fractions by Whole numbers
  • Divide Whole numbers by Fractions
  • Simplifying Fractions Worksheets
  • Free Printable Fraction Riddles (harder)

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

  • Percentage of Numbers Worksheets
  • Money Percentage Worksheets
  • Percentage Word Problems

These Year 6 Ratio worksheets are a great way to introduce this concept.

We have a range of part to part ratio worksheets and slightly harder problem solving worksheets.

  • Ratio Part to Part Worksheets
  • Ratio and Proportion Worksheets

Year 6 Geometry Worksheets

  • know how to find missing angles in a range of situations;
  • learn the number of degrees in a right angle, straight line, around a point and in a triangle;
  • know how to calculate the area of a triangle;
  • know how to calculate the area of a range of quadrilaterals.
  • learn the formulas to calculate the area of triangles and some quadrilaterals;
  • write and plot coordinates in all 4 quadrants.
  • (5th Grade) Geometry - Angles
  • Area of Quadrilaterals
  • 5th Grade Volume Worksheets
  • Coordinate Worksheets (1st Quadrant)
  • Coordinate Plane Worksheets (All 4 Quadrants)
  • Parts of a Circle Worksheets

Measurement Zone, including Time & Money

Year 6 measurement worksheets.

Using these sheets will help your child understand how to:

  • learn how to read a standard scale going up in different fractions: halves, quarters, eighths and sixteenths;
  • learn how to read a metric scale going up in 0.1s, 5s, 10s, 25s, 50s & 100s;
  • learn how to estimate a measurement of length, weight or liquid;
  • convert temperatures in Celsius and Fahrenheit.
  • (5th Grade) Measurement Worksheets

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

  • Time Word Problems Worksheets - Riddles (harder)

Using these sheets will help you to:

  • find the mean of up to 5 numbers;
  • find a missing data point when the mean is given.
  • Mean Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 6 maths games.

  • Year 6 Math Games (5th Grade)

Year 6 Maths Puzzles

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.

  • Printable Math Puzzles

Math Salamanders Year 6 Maths Games Ebook

Our Year 6 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

This ebooklet is available in our store - use the link below to find out more!

  • Year 6 Maths Games Ebook

Other UK Maths Worksheet pages

See below for our other maths worksheets hub pages designed for children in the UK.

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Math word Problems With Answers for Grade 6

Grade 6 maths word problems with answers are presented. Some of these problems are challenging and need more time to solve. Also detailed solutions and full explanations are included.

  • Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.
  • If the area of a circle is 81pi square feet, find its circumference.
  • Find the greatest common factor of 24, 40 and 60.
  • In a given school, there are 240 boys and 260 girls. a) What is the ratio of the number of girls to the number of boys? b) What is the ratio of the number of boys to the total number of pupils in the school?
  • If Tim had lunch at $50.50 and he gave 20% tip, how much did he spend?
  • Find k if 64 ÷ k = 4.
  • Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?
  • What is x if x + 2y = 10 and y = 3?
  • A telephone company charges initially $0.50 and then $0.11 for every minute. Write an expression that gives the cost of a call that lasts N minutes.
  • A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?
  • A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
  • A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?
  • A small square of side 2x is cut from the corner of a rectangle with a width of 10 centimeters and length of 20 centimeters. Write an expression in terms of x for the area of the remaining shape.
  • A rectangle A with length 10 centimeters and width 5 centimeters is similar to another rectangle B whose length is 30 centimeters. Find the area of rectangle B.
  • A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 5 classes were half full, 3 classes were 3/4 full and 2 classes were 1/8 empty. A total of 70 students were absent. How many students are in this school when no students are absent?
  • The perimeter of square A is 3 times the perimeter of square B. What is the ratio of the area of square A to the area of square B.
  • John gave half of his stamps to Jim. Jim gave gave half of his stamps to Carla. Carla gave 1/4 of the stamps given to her to Thomas and kept the remaining 12. How many stamps did John start with?
  • Two balls A and B rotate along a circular track. Ball A makes 4 full rotations in 120 seconds. Ball B makes 3 full rotation in 60 seconds. If they start rotating now from the same point, when will they be at the same starting point again?
  • A segment is 3 units long. It is divided into 9 parts. What fraction of a unit are 2 parts of the segment?
  • A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
  • Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter's age was twice the sum of Carla's & Jim's age. Find the present age of each one of them.
  • Linda spent 3/4 of her savings on furniture. She then spent 1/2 of her remaining savings on a fridge. If the fridge cost her $150, what were her original savings?
  • The distance bewteen Harry and Kate is 2500 meters. Kate and Harry start walking toward one another and Kate' dog start running back and forth between Harry and Kate at a speed of 120 meters per minute. Harry walks at the speed of 40 meters per minute while Kate walks at the speed of 60 meters per minute. What distance will the dog have travelled when Harry and Kate meet each other?

Answers to the Above Questions

  • a) 13:12 b)12:25
  • 0.50 + N * 0.11
  • 4.5 gallons
  • 450 centimeters squared
  • 108 cubic centimeters
  • 1250 meters/minute
  • Carla:5 years, Jim: 6 years, Peter: 19 years.
  • 3000 meters

mathematics problem solving questions year 6

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mathematics problem solving questions year 6

WEEK 01 ADDITION & SUBTRACTION USING FORMAL WRITTEN METHODS column adding take away subtracting WEEK 01 ADDITION AND SUBTRACTION USING FORMAL WRITTEN METHODS
WEEK 01 ADDITION & SUBTRACTION USING FORMAL WRITTEN METHODS column adding take away subtracting
WEEK 01 ADDITION & SUBTRACTION USING FORMAL WRITTEN METHODS column adding take away subtracting
WEEK 01 ADDITION & SUBTRACTION USING FORMAL WRITTEN METHODS column adding take away subtracting
WEEK 01 ADDITION & SUBTRACTION USING FORMAL WRITTEN METHODS column adding take away subtracting
WEEK 01 ADDITION & SUBTRACTION USING FORMAL WRITTEN METHODS column adding take away subtracting
WEEK 02 MULTIPLICATION USING FORMAL WRITTEN METHODS multiply times table column WEEK 02 MULTIPLICATION USING FORMAL WRITTEN METHODS
WEEK 02 MULTIPLICATION USING FORMAL WRITTEN METHODS multiply times table column
WEEK 02 MULTIPLICATION USING FORMAL WRITTEN METHODS multiply times table column
WEEK 02 MULTIPLICATION USING FORMAL WRITTEN METHODS multiply times table column
WEEK 02 MULTIPLICATION USING FORMAL WRITTEN METHODS multiply times table column
WEEK 03 DIVISION USING FORMAL WRITTEN METHODS divide share chunking column WEEK 03 DIVISION USING FORMAL WRITTEN METHODS
WEEK 03 DIVISION USING FORMAL WRITTEN METHODS divide share chunking column
WEEK 03 DIVISION USING FORMAL WRITTEN METHODS divide share chunking column
WEEK 03 DIVISION USING FORMAL WRITTEN METHODS divide share chunking column
WEEK 03 DIVISION USING FORMAL WRITTEN METHODS divide share chunking column
WEEK 03 DIVISION USING FORMAL WRITTEN METHODS divide share chunking column
WEEK 04 MULTIPLY AND DIVIDE BY 10 100 & 1000 place value multiplication times table division share WEEK 04 MULTIPLY AND DIVIDE BY 10, 100 & 1000
WEEK 04 MULTIPLY AND DIVIDE BY 10 100 & 1000 place value multiplication times table division share
WEEK 04 MULTIPLY AND DIVIDE BY 10 100 & 1000 place value multiplication times table division share
WEEK 04 MULTIPLY AND DIVIDE BY 10 100 & 1000 place value multiplication times table division share
WEEK 04 MULTIPLY AND DIVIDE BY 10 100 & 1000 place value multiplication times table division share
WEEK 05 CALCULATE AND COMPARE THE VOLUME OF CUBES AND CUBOIDS 3d shape greater less WEEK 05 CALCULATE AND COMPARE THE VOLUME OF CUBES AND CUBOIDS
WEEK 05 CALCULATE AND COMPARE THE VOLUME OF CUBES AND CUBOIDS 3d shape greater less
WEEK 05 CALCULATE AND COMPARE THE VOLUME OF CUBES AND CUBOIDS 3d shape greater less
WEEK 05 CALCULATE AND COMPARE THE VOLUME OF CUBES AND CUBOIDS 3d shape greater less
WEEK 05 CALCULATE AND COMPARE THE VOLUME OF CUBES AND CUBOIDS 3d shape greater less
WEEK 06 ROUNDING WHOLE NUMBERS unit one WEEK 06 ROUNDING WHOLE NUMBERS
WEEK 06 ROUNDING WHOLE NUMBERS unit one
WEEK 06 ROUNDING WHOLE NUMBERS unit one
WEEK 03 DIVISION USING FORMAL WRITTEN METHODS divide share chunking column
WEEK 06 ROUNDING WHOLE NUMBERS unit one
WEEK 07 REFLECT A SHAPE THROUGH AN AXIS 2d reflection transition graph WEEK 07 REFLECT A SHAPE THROUGH AN AXIS
WEEK 07 REFLECT A SHAPE THROUGH AN AXIS 2d reflection transition graph
WEEK 07 REFLECT A SHAPE THROUGH AN AXIS 2d reflection transition graph
WEEK 07 REFLECT A SHAPE THROUGH AN AXIS 2d reflection transition graph
WEEK 07 REFLECT A SHAPE THROUGH AN AXIS 2d reflection transition graph
WEEK 07 REFLECT A SHAPE THROUGH AN AXIS 2d reflection transition graph
WEEK 08 ROUNDING IN CONTEXT real life place value WEEK 08 ROUNDING IN CONTEXT
WEEK 08 ROUNDING IN CONTEXT real life place value
WEEK 08 ROUNDING IN CONTEXT real life place value
WEEK 08 ROUNDING IN CONTEXT real life place value
WEEK 09 CALCULATING MISSING ANGLES IN QUADRILATERALS AND TRIANGLES acute obtuse reflex right 2d shape WEEK 09 CALCULATING MISSING ANGLES IN QUADRILATERALS AND TRIANGLES
WEEK 09 CALCULATING MISSING ANGLES IN QUADRILATERALS AND TRIANGLES acute obtuse reflex right 2d shape
WEEK 09 CALCULATING MISSING ANGLES IN QUADRILATERALS AND TRIANGLES acute obtuse reflex right 2d shape
WEEK 09 CALCULATING MISSING ANGLES IN QUADRILATERALS AND TRIANGLES acute obtuse reflex right 2d shape
WEEK 09 CALCULATING MISSING ANGLES IN QUADRILATERALS AND TRIANGLES acute obtuse reflex right 2d shape
WEEK 10 ADDING AND SUBTRACTING FRACTIONS AND MIXED NUMBERS take away addition subtraction WEEK 10 ADDING AND SUBTRACTING FRACTIONS AND MIXED NUMBERS
WEEK 10 ADDING AND SUBTRACTING FRACTIONS AND MIXED NUMBERS take away addition subtraction
WEEK 10 ADDING AND SUBTRACTING FRACTIONS AND MIXED NUMBERS take away addition subtraction
WEEK 10 ADDING AND SUBTRACTING FRACTIONS AND MIXED NUMBERS take away addition subtraction
WEEK 10 ADDING AND SUBTRACTING FRACTIONS AND MIXED NUMBERS take away addition subtraction
WEEK 11 READ & WRITE VALUES UP TO 10000000 place value million number WEEK 11 READ AND WRITE VALUES UP TO 10,000,000
WEEK 11 READ & WRITE VALUES UP TO 10000000 place value million number
WEEK 11 READ & WRITE VALUES UP TO 10000000 place value million number
WEEK 11 READ & WRITE VALUES UP TO 10000000 place value million number
WEEK 11 READ & WRITE VALUES UP TO 10000000 place value million number
WEEK 12 CONVERTING BETWEEN DIFFERENT METRIC UNITS OF MEASUREMENT length mass capacity mm cm metre km kilo gram cl ml milli WEEK 12 CONVERTING BETWEEN DIFFERENT METRIC UNITS OF MEASUREMENT
WEEK 12 CONVERTING BETWEEN DIFFERENT METRIC UNITS OF MEASUREMENT length mass capacity mm cm metre km kilo gram cl ml milli
WEEK 12 CONVERTING BETWEEN DIFFERENT METRIC UNITS OF MEASUREMENT length mass capacity mm cm metre km kilo gram cl ml milli
WEEK 12 CONVERTING BETWEEN DIFFERENT METRIC UNITS OF MEASUREMENT length mass capacity mm cm metre km kilo gram cl ml milli
WEEK 13 INTERPRETING A PIE CHART graph proportion read WEEK 13 INTERPRETING A PIE CHART
WEEK 13 INTERPRETING A PIE CHART graph proportion read
WEEK 13 INTERPRETING A PIE CHART graph proportion read
WEEK 13 INTERPRETING A PIE CHART graph proportion read
WEEK 14 USE A FORMULA TO CALCULATE THE AREA & VOLUME OF SHAPES 2d 3d width height depth length dimension WEEK 14 USE A FORMULA TO CALCULATE THE AREA AND VOLUME OF SHAPES
WEEK 14 USE A FORMULA TO CALCULATE THE AREA & VOLUME OF SHAPES 2d 3d width height depth length dimension
WEEK 14 USE A FORMULA TO CALCULATE THE AREA & VOLUME OF SHAPES 2d 3d width height depth length dimension
WEEK 14 USE A FORMULA TO CALCULATE THE AREA & VOLUME OF SHAPES 2d 3d width height depth length dimension
WEEK 14 USE A FORMULA TO CALCULATE THE AREA & VOLUME OF SHAPES 2d 3d width height depth length dimension
WEEK 15 SEEING FRACTIONS AS DIVISION divide denominator numerator share WEEK 15 SEEING FRACTIONS AS DIVISION
WEEK 15 SEEING FRACTIONS AS DIVISION divide denominator numerator share
WEEK 15 SEEING FRACTIONS AS DIVISION divide denominator numerator share
WEEK 16 FIND VALUES FOR TWO UNKNOWN NUMBERS algebra x y variable missing WEEK 16 FIND VALUES FOR TWO UNKNOWN NUMBERS
WEEK 16 FIND VALUES FOR TWO UNKNOWN NUMBERS algebra x y variable missing
WEEK 16 FIND VALUES FOR TWO UNKNOWN NUMBERS algebra x y variable missing
WEEK 17 READ & WRITE ROMAN NUMERALS WEEK 17 READ AND WRITE ROMAN NUMERALS
WEEK 17 READ & WRITE ROMAN NUMERALS
WEEK 17 READ & WRITE ROMAN NUMERALS
WEEK 17 READ & WRITE ROMAN NUMERALS
WEEK 18 READING LINE GRAPHS chart interpret time WEEK 18 READING LINE GRAPHS
WEEK 18 READING LINE GRAPHS chart interpret time
WEEK 18 READING LINE GRAPHS chart interpret time
WEEK 19 CALCULATING THE HIGHEST COMMON FACTOR, LOWEST COMMON MULTIPLE & IDENTIFYING PRIME NUMBERS WEEK 19 CALCULATING THE HIGHEST COMMON FACTOR, LOWEST COMMON MULTIPLE & IDENTIFYING PRIME NUMBERS
WEEK 19 CALCULATING THE HIGHEST COMMON FACTOR, LOWEST COMMON MULTIPLE & IDENTIFYING PRIME NUMBERS
WEEK 19 CALCULATING THE HIGHEST COMMON FACTOR, LOWEST COMMON MULTIPLE & IDENTIFYING PRIME NUMBERS
WEEK 20 MISSING ANGLES AT A POINT ON A STRAIGHT LINE & OPPOSITE ANGLES 180 360 degree WEEK 20 MISSING ANGLES AT A POINT, ON A STRAIGHT LINE AND OPPOSITE ANGLES
WEEK 20 MISSING ANGLES AT A POINT ON A STRAIGHT LINE & OPPOSITE ANGLES 180 360 degree
WEEK 20 MISSING ANGLES AT A POINT ON A STRAIGHT LINE & OPPOSITE ANGLES 180 360 degree
WEEK 21 USING THE SHORT DIVISION METHOD TO CALCULATE DECIMAL REMAINDERS divide bus stop share WEEK 21 USING THE SHORT DIVISION METHOD TO CALCULATE DECIMAL REMAINDERS
WEEK 21 USING THE SHORT DIVISION METHOD TO CALCULATE DECIMAL REMAINDERS divide bus stop share
WEEK 21 USING THE SHORT DIVISION METHOD TO CALCULATE DECIMAL REMAINDERS divide bus stop share
WEEK 22 CALCULATING THROUGH ZERO positive negative value 0 WEEK 22 CALCULATING THROUGH ZERO
WEEK 22 CALCULATING THROUGH ZERO positive negative value 0
WEEK 22 CALCULATING THROUGH ZERO positive negative value 0
WEEK 23 CONVERTING BETWEEN KM AND MILES equal same kilometre length metric WEEK 23 CONVERTING BETWEEN KM AND MILES
WEEK 23 CONVERTING BETWEEN KM AND MILES equal same kilometre length metric
WEEK 23 CONVERTING BETWEEN KM AND MILES equal same kilometre length metric
WEEK 24 DIVIDING FRACTIONS BY A WHOLE NUMBER division share WEEK 24 DIVIDING FRACTIONS BY A WHOLE NUMBER
WEEK 24 DIVIDING FRACTIONS BY A WHOLE NUMBER division share
WEEK 24 DIVIDING FRACTIONS BY A WHOLE NUMBER division share
WEEK 25 RECOGNISE DESCRIBE & DRAW THE NETS OF 3D SHAPES cube cuboid prism cylinder tetrahedron pyramid WEEK 25 RECOGNISE, DESCRIBE AND DRAW THE NETS OF 3D SHAPES
WEEK 25 RECOGNISE DESCRIBE & DRAW THE NETS OF 3D SHAPES cube cuboid prism cylinder tetrahedron pyramid
WEEK 25 RECOGNISE DESCRIBE & DRAW THE NETS OF 3D SHAPES cube cuboid prism cylinder tetrahedron pyramid
WEEK 26 SOLVE REAL-LIFE PROBLEMS USING ALL 4 OPERATIONS solving everyday subtract take away divide division share multiply multiplication addition adding WEEK 26 SOLVE REAL-LIFE PROBLEMS USING ALL 4 OPERATIONS
WEEK 26 SOLVE REAL-LIFE PROBLEMS USING ALL 4 OPERATIONS solving everyday subtract take away divide division share multiply multiplication addition adding
WEEK 26 SOLVE REAL-LIFE PROBLEMS USING ALL 4 OPERATIONS solving everyday subtract take away divide division share multiply multiplication addition adding
WEEK 27 CALCULATING EQUIVALENT FRACTIONS AND SIMPLEST FORM lowest term equal same WEEK 27 CALCULATING EQUIVALENT FRACTIONS AND SIMPLEST FORM
WEEK 27 CALCULATING EQUIVALENT FRACTIONS AND SIMPLEST FORM lowest term equal same
WEEK 27 CALCULATING EQUIVALENT FRACTIONS AND SIMPLEST FORM lowest term equal same
WEEK 27 CALCULATING EQUIVALENT FRACTIONS AND SIMPLEST FORM lowest term equal same
WEEK 28 AREA & PERIMETER OF 2D SHAPES length triangle rectangle square parallelogram WEEK 28 AREA AND PERIMETER OF 2D SHAPES
WEEK 28 AREA & PERIMETER OF 2D SHAPES length triangle rectangle square parallelogram
WEEK 28 AREA & PERIMETER OF 2D SHAPES length triangle rectangle square parallelogram
WEEK 28 AREA & PERIMETER OF 2D SHAPES length triangle rectangle square parallelogram
WEEK 29 DIVIDING A QUANTITY BY A RATIO proportion share division WEEK 29 DIVIDING A QUANTITY BY A RATIO
WEEK 29 DIVIDING A QUANTITY BY A RATIO proportion share division
WEEK 29 DIVIDING A QUANTITY BY A RATIO proportion share division
WEEK 30 DRAWING GRAPHS FROM A TABLE OF DATA chart pie line bar pictogram WEEK 30 DRAWING GRAPHS FROM A TABLE OF DATA
WEEK 30 DRAWING GRAPHS FROM A TABLE OF DATA chart pie line bar pictogram
WEEK 30 DRAWING GRAPHS FROM A TABLE OF DATA chart pie line bar pictogram
WEEK 31 CALCULATE A PERCENTAGE OF A QUANTITY % divide WEEK 31 CALCULATE A PERCENTAGE OF A QUANTITY
WEEK 31 CALCULATE A PERCENTAGE OF A QUANTITY % divide
WEEK 31 CALCULATE A PERCENTAGE OF A QUANTITY % divide
WEEK 32 WRITE AND DESCRIBE NUMBER SEQUENCES pattern term WEEK 32 WRITE AND DESCRIBE NUMBER SEQUENCES
WEEK 32 WRITE AND DESCRIBE NUMBER SEQUENCES pattern term
WEEK 32 WRITE AND DESCRIBE NUMBER SEQUENCES pattern term
WEEK 33 IDENTIFYING THE DIFFERENT PARTS OF A CIRCLE CIRCUMFERENCE DIAMETER RADIUS WEEK 33 IDENTIFYING THE DIFFERENT PARTS OF A CIRCLE
WEEK 33 IDENTIFYING THE DIFFERENT PARTS OF A CIRCLE CIRCUMFERENCE DIAMETER RADIUS
WEEK 33 IDENTIFYING THE DIFFERENT PARTS OF A CIRCLE CIRCUMFERENCE DIAMETER RADIUS
WEEK 34 MULTIPLYING 2 FRACTIONS GIVING THE ANSWER IN ITS SIMPLEST FORM lowest multiplication times table term WEEK 34 MULTIPLYING 2 FRACTIONS GIVING THE ANSWER IN ITS SIMPLEST FORM
WEEK 34 MULTIPLYING 2 FRACTIONS GIVING THE ANSWER IN ITS SIMPLEST FORM lowest multiplication times table term
WEEK 34 MULTIPLYING 2 FRACTIONS GIVING THE ANSWER IN ITS SIMPLEST FORM lowest multiplication times table term
WEEK 35 CALCULATE THE MEAN AVERAGE OF A SET OF NUMBERS WEEK 35 CALCULATE THE MEAN AVERAGE OF A SET OF NUMBERS
WEEK 35 CALCULATE THE MEAN AVERAGE OF A SET OF NUMBERS
WEEK 35 CALCULATE THE MEAN AVERAGE OF A SET OF NUMBERS
WEEK 35 CALCULATE THE MEAN AVERAGE OF A SET OF NUMBERS
WEEK 36 USE POSITIVE AND NEGATIVE VALUES number WEEK 36 USE POSITIVE AND NEGATIVE VALUES
WEEK 36 USE POSITIVE AND NEGATIVE VALUES number
WEEK 36 USE POSITIVE AND NEGATIVE VALUES number
WEEK 37 MULTIPLYING A WHOLE NUMBER AND A DECIMAL VALUE multiplication unit WEEK 37 MULTIPLYING A WHOLE NUMBER AND A DECIMAL VALUE
WEEK 37 MULTIPLYING A WHOLE NUMBER AND A DECIMAL VALUE multiplication unit
WEEK 37 MULTIPLYING A WHOLE NUMBER AND A DECIMAL VALUE multiplication unit
WEEK 38 CALCULATE EQUIVALENT FRACTIONS, DECIMALS AND PERCENTAGES equal % convert WEEK 38 CALCULATE EQUIVALENT FRACTIONS, DECIMALS AND PERCENTAGES
WEEK 38 CALCULATE EQUIVALENT FRACTIONS, DECIMALS AND PERCENTAGES equal % convert
WEEK 38 CALCULATE EQUIVALENT FRACTIONS, DECIMALS AND PERCENTAGES equal % convert
WEEK 39 USING THE ORDER OF OPERATIONS bidmas bodmas add subtract take away divide division share multiply multiplication WEEK 39 USING THE ORDER OF OPERATIONS
WEEK 39 USING THE ORDER OF OPERATIONS bidmas bodmas add subtract take away divide division share multiply multiplication
WEEK 39 USING THE ORDER OF OPERATIONS bidmas bodmas add subtract take away divide division share multiply multiplication
WEEK 40 IDENTIFY THE VALUE OF DIGITS IN DECIMAL NUMBERS place value WEEK 40 IDENTIFY THE VALUE OF DIGITS IN DECIMAL NUMBERS
WEEK 40 IDENTIFY THE VALUE OF DIGITS IN DECIMAL NUMBERS place value
WEEK 40 IDENTIFY THE VALUE OF DIGITS IN DECIMAL NUMBERS place value
WEEK 41 DRAWING PIE CHARTS graph proportion WEEK 41 DRAWING PIE CHARTS
WEEK 41 DRAWING PIE CHARTS graph proportion
WEEK 41 DRAWING PIE CHARTS graph proportion
WEEK 42 SUBSTITUTING A VALUE INTO A FORMULA algebra replace equation expression WEEK 42 SUBSTITUTING A VALUE INTO A FORMULA
WEEK 42 SUBSTITUTING A VALUE INTO A FORMULA algebra replace equation expression
WEEK 42 SUBSTITUTING A VALUE INTO A FORMULA algebra replace equation expression
WEEK 43 TRANSLATING 2D SHAPES moving move polygon transformation WEEK 43 TRANSLATING 2D SHAPES
WEEK 43 TRANSLATING 2D SHAPES moving move polygon transformation
WEEK 43 TRANSLATING 2D SHAPES moving move polygon transformation
WEEK 44 SOLVING PROBLEMS WITH UNITS OF MEASUREMENT solve mm cm metre km kilo milli centi gram kg ml cl litre WEEK 44 SOLVING PROBLEMS WITH UNITS OF MEASUREMENT
WEEK 44 SOLVING PROBLEMS WITH UNITS OF MEASUREMENT solve mm cm metre km kilo milli centi gram kg ml cl litre
WEEK 44 SOLVING PROBLEMS WITH UNITS OF MEASUREMENT solve mm cm metre km kilo milli centi gram kg ml cl litre
WEEK 45 ESTIMATING TO CHECK ANSWERS guess approx estimate WEEK 45 ESTIMATING TO CHECK ANSWERS
WEEK 45 ESTIMATING TO CHECK ANSWERS guess approx estimate
WEEK 45 ESTIMATING TO CHECK ANSWERS guess approx estimate
WEEK 46 COMPARING & ORDERING FRACTIONS greater less ascend descend WEEK 46 COMPARING AND ORDERING FRACTIONS
WEEK 46 COMPARING & ORDERING FRACTIONS greater less ascend descend
WEEK 46 COMPARING & ORDERING FRACTIONS greater less ascend descend
WEEK 46 COMPARING & ORDERING FRACTIONS greater less ascend descend
WEEK 47 CALCULATING THE AREA OF TRIANGLES AND PARALLELOGRAMS space 2d shape WEEK 47 CALCULATING THE AREA OF TRIANGLES AND PARALLELOGRAMS
WEEK 47 CALCULATING THE AREA OF TRIANGLES AND PARALLELOGRAMS space 2d shape
WEEK 47 CALCULATING THE AREA OF TRIANGLES AND PARALLELOGRAMS space 2d shape
WEEK 47 CALCULATING THE AREA OF TRIANGLES AND PARALLELOGRAMS space 2d shape
WEEK 48 TO CLASSIFY AND SORT 2D AND 3D SHAPES venn carrol properties vertex vertices sides WEEK 48 TO CLASSIFY AND SORT 2D AND 3D SHAPES
WEEK 48 TO CLASSIFY AND SORT 2D AND 3D SHAPES venn carrol properties vertex vertices sides
WEEK 48 TO CLASSIFY AND SORT 2D AND 3D SHAPES venn carrol properties vertex vertices sides
WEEK 49 TO COMPARE AND ORDER NUMBERS UP TO 10000000 million ten greater less equal value ascend descend place value WEEK 49 TO COMPARE AND ORDER NUMBERS UP TO 10,000,000
WEEK 49 TO COMPARE AND ORDER NUMBERS UP TO 10000000 million ten greater less equal value ascend descend place value
WEEK 49 TO COMPARE AND ORDER NUMBERS UP TO 10000000 million ten greater less equal value ascend descend place value
WEEK 50 MENTALLY CALCULATE WITH ALL 4 OPERATIONS add addition adding subtract take away multiply multiplication times tables divide division share WEEK 50 MENTALLY CALCULATE WITH ALL 4 OPERATIONS
WEEK 50 MENTALLY CALCULATE WITH ALL 4 OPERATIONS add addition adding subtract take away multiply multiplication times tables divide division share
WEEK 50 MENTALLY CALCULATE WITH ALL 4 OPERATIONS add addition adding subtract take away multiply multiplication times tables divide division share
WEEK 51 SOLVE PROBLEMS WITH RATIO & PROPORTION fraction part divide share WEEK 51 SOLVE PROBLEMS WITH RATIO AND PROPORTION
WEEK 51 SOLVE PROBLEMS WITH RATIO & PROPORTION fraction part divide share
WEEK 51 SOLVE PROBLEMS WITH RATIO & PROPORTION fraction part divide share
WEEK 52 DRAW A LINE GRAPH FROM A TABLE OF DATA chart time WEEK 52 DRAW A LINE GRAPH FROM A TABLE OF DATA
WEEK 52 DRAW A LINE GRAPH FROM A TABLE OF DATA chart time
WEEK 52 DRAW A LINE GRAPH FROM A TABLE OF DATA chart time

Welcome to the Year 6 Mini-Maths homepage. Daily maths questions for Year 6 are available for every week of the year, providing free help for teachers, pupils and parents. 1000s of free tasks and activities are available to support children in their learning both in the classroom and at home. Use the search and filter box below to easily find the outcomes you require.

It is recommended that a topic is selected per week and daily maths tasks accessed using the links provided below. Use each day’s answers to help identify and guide the required support in preparation for the following day’s task. Watch your understanding, application and confidence grow throughout the week. New resources are always being added, so keep checking for updates.

More about Year 6 Maths Questions …

The Year 6 curriculum completes the Key Stage 2 maths programme of learning bringing understanding and confidence together from Year 3 through to the end of Year 6. This journey culminates in the KS2 SATs assessments where learners are able to demonstrate their progress and development in the subject.

Year 6 NUMBER …

The four operations reach a natural conclusion in Year 6 – addition, subtraction, multiplication and division involve more complex examples before introducing decimals values . Learners are looking to extend their understanding of units, tens, hundreds, thousands, etc, with the Place value of digits in decimal places, supporting the wider curriculum such as calculating decimal remainders using short division.

Year 6 SHAPE …

Learners have been developing a sound understanding of 2D shape and 3D shape allowing them to sort and classify by their properties. Being able to identify and use these properties also improves an awareness of a shape’s area and perimeter or volume .

Year 6 DATA …

Year 5 offers further coverage of tables, charts and graphs, where learners are expected to both read and interpret information in all types of graphs and charts including pie charts . Drawing graphs and charts from given data is also introduced in Year 6 maths.

All learning objectives are supported by a Home Learning pack and iQ mastery questions challenge learners’ understanding, application and confidence. The Home Learning packs provide first class opportunities for effective intervention and an ever growing library of help videos for Year 6 maths is available on the MyMiniMaths YouTube channel in support of quality learning.

Year 6 SATs …

MyMiniMaths also offers specialised support for Year 6 SATs with a programme of practice KS2 SATs papers for the arithmetic paper . Easy identification of key skills in need of further support to maximise attainment is available through the Arithmetic Target Questions .

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Daily Math Word Problems - Grade 6 (Worksheets)

Updated:  17 Apr 2024

A set of 20 problem-solving questions suited to grade 6 students.

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Daily Math Word Problems - Grade 6 (Worksheets) teaching resource

This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics.

It provides students with the opportunity to work through 20 math word problems , identifying the important information and how they can work it out using a variety of methods.

An answer sheet has been included.

Use this resource in conjunction with the Daily Math Problems PowerPoint :

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Problem-solving maths investigations for year 6.

Hamilton provide an extensive suite of problem-solving maths investigations for Year 6 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor – high ceiling' activities for all.

Explore all our in-depth problem solving investigations for Year 6 .

Use problem-solving investigations within every unit to encourage children to develop and exercise their ability to reason mathematically and think creatively.

Investigations provide challenges that offer opportunities for the development of the key mathematical skills while deepening conceptual understanding. They are designed to be accessible in different ways to all children. An added bonus is the substantial amount of extra calculation practice they often incorporate! The problems are designed to help children identify patterns, to explore lines of thinking and to reason and communicate about properties of numbers, shapes and measures.

Hamilton provide a mix of our own specially commissioned investigations, that include guidance for teachers together with a child-friendly sheet to guide your pupils through the investigation, as well as links to investigations on other highly regarded websites.

I am very grateful for Hamilton Trust resources, particularly the maths investigations. Julia, teacher in Wiltshire

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Do read our extensive range of advice for more information about the investigations and for tips on how to use them effectively.

Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.

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mathematics problem solving questions year 6

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Problem Solving Questions - Worksheets - Year 6

Problem Solving Questions - Worksheets - Year 6

Subject: Maths for early years

Age range: 7-11

Resource type: Worksheet/Activity

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Last updated

1 February 2020

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Mixture of maths problem solving questions worksheets for year 6 students

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Reasoning/Problem Solving Maths Worksheets for Year 6 (age 10-11)

Problem solving.

A variety of problem solving activities including time and money.

Preview of worksheet Farmers fields

A perimeter/area investigation.

Preview of worksheet Nought to twelve

A good knowledge of the order of operations is needed for this problem solving task.

Preview of worksheet Cost of houseplants

Find the cost of different numbers of houseplants.

Preview of worksheet Buying three houseplants

Tricky addition which may need jottings to complete.

Preview of worksheet Single step 'real life' problems

Here are sets of word problems only needing one step to solve, but it is not always obvious what calculation to carry out to reach the answer.

Preview of worksheet Multi step 'real life' problems

Here are some longer problems written in words. You need to work out more than one thing to get the answers.

Preview of worksheet Solve problems involving money

Quite tricky word problems involving money, often requiring several steps to complete.

Preview of worksheet Solve problems involving length mass or capacity

A good knowledge of metric measures is needed to complete these questions.

Preview of worksheet Solve problems involving time

Questions which need an understanding of a.m., p.m., 24 hour clock, leap years as well as using graphs.

Preview of worksheet More time problems

An atlas with time zones is needed for the first activity and there are line graphs on time to interpret.

Preview of worksheet Choose appropriate methods of calculating (1)

When answering these problems say which operation is needed and whether it can be done mentally, on paper or with a calculator.

Preview of worksheet Choose appropriate methods of calculating (2)

More on choosing the most appropriate method of calculating.

Preview of worksheet Meal deal

Tricky calculations working out the best and worst meal deals.

Preview of worksheet Vending machine

Purchasing various items from a vending machine. Tricky calculating with money.

Investigate Numbers and Patterns

Investigate numbers and patterns, including sequences.

Preview of worksheet Multiply by 11

Quick and easy way to multiply 2-digit numbers by 11 - why does it work?

Preview of worksheet Four fours

Show all your calculating skills with just four fours.

Preview of worksheet Triangle numbers 1

A first look at triangle numbers.

Preview of worksheet Triangle numbers 2

More on triangle numbers.

Preview of worksheet Triangle numbers 3

Further investigations involving triangle numbers.

Preview of worksheet Recognise patterns in numbers and shapes

Some great patterns can be found when dividing by 9 or 11, and using square numbers.

Preview of worksheet Investigate and predict

Plenty of ideas to help with investigations and inventing similar problems.

Preview of worksheet Investigate numbers

More investigations on adding consecutive numbers, dividing by a half, writing a simple formula as well as shape patterns.

Preview of worksheet Investigate numbers and shapes

Investigate numbers and shapes; quite tricky.

Preview of worksheet Number sequences

Complete a variety of number sequences and say what the rule for each sequence is. Some negative number work as well.

Preview of worksheet Number patterns

Using a multiplication square to look for number patterns: there are certainly plenty of them! Further sequence work, including Fibonacci.

Preview of worksheet Egyptian multiplication

Try the Ancient Egyptian method of multiplying. Great, if you are good at adding up!

Preview of worksheet Develop calculator skills

Tips and hints on how to use a calculator to ensure correct answers.

Holiday Problem Solving

A tricky selection of resources all linked to a holiday theme.

Preview of worksheet Day trips

Very tricky to find the best options.

Preview of worksheet Skiing holiday in Switzerland

Very tricky calculations to find the best deal.

Preview of worksheet City break to Edinburgh

Finding the best deal is harder than it might seem!

Preview of worksheet Holiday to The Isle of Wight

A holiday which might cost more than it should unless there is some careful calculating.

Preview of worksheet Maths Rats trip to Llandudno

This is complicated with special offers and percentages off making finding the cheapest deal difficult to work out.

Preview of worksheet Maths Rats holiday in Snowdonia

More difficult than you might think to find the cheapest deal, including percentages.

Preview of worksheet Maths Rats holiday in Anglesey

Much trickier than it first looks, with many possible options to choose from. Some time is needed to complete this correctly.

A collection of puzzles to solve - some easy and some quite tricky. Ideal for the end of term.

Preview of worksheet Tricky twenty

Place the numbers 1 to 9 in the boxes so that each side of the triangle adds up to 20.

Preview of worksheet All the digits

Replace the hexagons in the calculation with numbers: logical thinking needed.

Preview of worksheet Puzzle anagrams

Find the mathematical words in these anagrams.

Preview of worksheet Puzzle: calculator words

Turn your calculator upside down to read the words!

Preview of worksheet Dizzy digits

A calculator is needed for this fun challenge.

Preview of worksheet Puzzle: four lines

This might not seem possible but with a little imagination it can be done.

Preview of worksheet Head over tails

How many moves to get all the coins on heads?

Preview of worksheet Puzzle: Seven Up!

Nifty little puzzle with more than one solution.

Preview of worksheet Puzzle: a square triangle

More to do with square numbers than shapes!

Preview of worksheet Circle squares

Finding pairs of numbers that add up to square numbers. Tricky!

Preview of worksheet Funky 15

How many ways of making 15. Have you got all of them?

Preview of worksheet Primes to make squares

Can you make prime numbers by adding two square numbers?

Preview of worksheet Maximum change

Lots of coins and not change for £1.

Preview of worksheet Code breaker

Neat little code-breaker. Can you come up with others?

Preview of worksheet Puzzle: 12 To 15

Logical thinking needed here.

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Resources tagged with: NC Yr 6

There are 51 NRICH Mathematical resources connected to NC Yr 6 , you may find related items under NC .

mathematics problem solving questions year 6

4 by 4 Mathdokus

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

mathematics problem solving questions year 6

Different Deductions

There are lots of different methods to find out what the shapes are worth - how many can you find?

mathematics problem solving questions year 6

Name That Triangle!

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

mathematics problem solving questions year 6

Number Lines in Disguise

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

mathematics problem solving questions year 6

Price Match

Can you find pairs of differently sized windows that cost the same?

mathematics problem solving questions year 6

Finding 3D Stacks

Can you find a way of counting the spheres in these arrangements?

mathematics problem solving questions year 6

Extending Fraction Bars

Can you compare these bars with each other and express their lengths as fractions of the black bar?

mathematics problem solving questions year 6

More Fraction Bars

What fraction of the black bar are the other bars? Have a go at this challenging task!

mathematics problem solving questions year 6

Always, Sometimes or Never? Shape

Are these statements always true, sometimes true or never true?

mathematics problem solving questions year 6

Always, Sometimes or Never? Number

mathematics problem solving questions year 6

Round the Three Dice

What happens when you round these three-digit numbers to the nearest 100?

mathematics problem solving questions year 6

Round the Four Dice

This activity involves rounding four-digit numbers to the nearest thousand.

mathematics problem solving questions year 6

Use the information on these cards to draw the shape that is being described.

mathematics problem solving questions year 6

Dicey Perimeter, Dicey Area

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?

mathematics problem solving questions year 6

Domino Sets

How do you know if your set of dominoes is complete?

mathematics problem solving questions year 6

Making Spirals

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

mathematics problem solving questions year 6

Round a Hexagon

This problem shows that the external angles of an irregular hexagon add to a circle.

mathematics problem solving questions year 6

Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

mathematics problem solving questions year 6

So It's Times!

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

mathematics problem solving questions year 6

After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

mathematics problem solving questions year 6

Button-up Some More

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

mathematics problem solving questions year 6

Counting Cogs

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

mathematics problem solving questions year 6

Doughnut Percents

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

mathematics problem solving questions year 6

Next Size Up

The challenge for you is to make a string of six (or more!) graded cubes.

mathematics problem solving questions year 6

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

mathematics problem solving questions year 6

What can you see? What do you notice? What questions can you ask?

mathematics problem solving questions year 6

Treasure Hunt

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

mathematics problem solving questions year 6

First Connect Three

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

mathematics problem solving questions year 6

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

mathematics problem solving questions year 6

Factor-multiple Chains

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

mathematics problem solving questions year 6

Fraction Fascination

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

mathematics problem solving questions year 6

Triangles All Around

Can you find all the different triangles on these peg boards, and find their angles?

mathematics problem solving questions year 6

Diagonal Sums

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

mathematics problem solving questions year 6

Ten Hidden Squares

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

mathematics problem solving questions year 6

Orange Drink

A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

mathematics problem solving questions year 6

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

mathematics problem solving questions year 6

Sponge Sections

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

mathematics problem solving questions year 6

Factor Lines

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

mathematics problem solving questions year 6

Would You Rather?

Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

mathematics problem solving questions year 6

Plenty of Pens

Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

mathematics problem solving questions year 6

Mystery Matrix

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

mathematics problem solving questions year 6

The Moons of Vuvv

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

mathematics problem solving questions year 6

Where Are They?

Use the isometric grid paper to find the different polygons.

Rectangle Tangle

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

mathematics problem solving questions year 6

Pumpkin Pie Problem

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

Quadrilaterals

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

mathematics problem solving questions year 6

Two and Two

How many solutions can you find to this sum? Each of the different letters stands for a different number.

mathematics problem solving questions year 6

Making Cuboids

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

Round and Round the Circle

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

mathematics problem solving questions year 6

Doplication

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

Year 6 maths

IXL offers hundreds of year 6 maths skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, territory curriculum, or standardized test.

A. Whole numbers

  • 1 Place values in whole numbers
  • 2 Word names for numbers
  • 3 Roman numerals

B. Multiplication

  • 1 Multiply using area models I
  • 2 Multiply using area models II
  • 3 Multiply using the distributive property
  • 4 Lattice multiplication
  • 5 Multiply whole numbers
  • 6 Multiply whole numbers: word problems
  • 7 Multiply numbers ending in zeroes
  • 8 Multiply numbers ending in zeroes: word problems
  • 9 Multiply three or more numbers
  • 10 Multiply three or more numbers: word problems
  • 11 Estimate products
  • 12 Properties of multiplication
  • 13 Solve using properties of multiplication

C. Division

  • 1 Divisibility rules
  • 2 Divide by two-digit numbers
  • 3 Divide by two-digit numbers: word problems
  • 4 Division patterns with zeroes
  • 5 Divide numbers ending in zeroes: word problems
  • 6 Estimate quotients using compatible numbers
  • 7 Estimate quotients

D. Exponents

  • 1 Write multiplication expressions using exponents
  • 2 Evaluate powers
  • 3 Find the missing exponent or base

E. Number theory

  • 1 Prime or composite
  • 2 Identify factors
  • 3 Prime factorisation
  • 4 Prime factorisation with exponents
  • 5 Highest common factor
  • 6 Lowest common multiple
  • 7 HCF and LCM: word problems
  • 8 Square numbers

F. Decimals

  • 1 What decimal number is illustrated?
  • 2 Decimal place values
  • 3 Word names for decimal numbers
  • 4 Put decimal numbers in order
  • 5 Inequalities with decimals
  • 6 Round decimals
  • 7 Round whole numbers and decimals: find the missing digit
  • 8 Decimal number lines

G. Addition and subtraction

  • 1 Add and subtract whole numbers up to millions
  • 2 Add and subtract whole numbers: word problems
  • 3 Properties of addition
  • 4 Estimate sums and differences of whole numbers
  • 5 Estimate sums and differences: word problems
  • 6 Add decimal numbers
  • 7 Subtract decimal numbers
  • 8 Add and subtract decimal numbers
  • 9 Add and subtract decimals: word problems
  • 10 Estimate sums and differences of decimals using rounding
  • 11 Estimate sums and differences of decimals using benchmarks
  • 12 Maps with decimal distances

H. Multiply and divide decimals

  • 1 Multiply a decimal by a power of ten
  • 2 Multiply a decimal by a one-digit number using the distributive property
  • 3 Multiply a decimal by a one-digit whole number
  • 4 Multiply a decimal by a two-digit number using area models
  • 5 Multiply a decimal by a multi-digit whole number
  • 6 Multiply decimals and whole numbers: word problems
  • 7 Multiply two decimals
  • 8 Estimate products of decimal numbers
  • 9 Inequalities with decimal multiplication
  • 10 Divide decimals by powers of ten
  • 11 Decimal division patterns over increasing place values
  • 12 Divide a decimal by a power of ten: find the missing number
  • 13 Divide decimals using area models: complete the equation
  • 14 Divide decimals by whole numbers
  • 15 Divide decimals by whole numbers: word problems

I. Fractions and mixed numbers

  • 1 Fractions and mixed numbers review
  • 2 Understanding fractions: word problems
  • 3 Find equivalent fractions using area models
  • 4 Graph equivalent fractions on number lines
  • 5 Equivalent fractions
  • 6 Write fractions in lowest terms
  • 7 Fractions: word problems
  • 8 Lowest common denominator
  • 9 Graph and compare fractions on number lines
  • 10 Compare fractions with like and unlike denominators
  • 11 Compare fractions: word problems
  • 12 Convert between improper fractions and mixed numbers
  • 13 Convert fractions or mixed numbers to decimals
  • 14 Convert decimals to fractions or mixed numbers
  • 15 Convert between decimals and fractions or mixed numbers
  • 16 Put a mix of decimals, fractions and mixed numbers in order

J. Add and subtract fractions

  • 1 Add and subtract fractions with like denominators using number lines
  • 2 Add and subtract fractions with like denominators
  • 3 Add and subtract fractions with like denominators: word problems
  • 4 Inequalities with addition and subtraction of like fractions
  • 5 Add fractions with unlike denominators using models
  • 6 Add fractions with unlike denominators
  • 7 Subtract fractions with unlike denominators using models
  • 8 Subtract fractions with unlike denominators
  • 9 Add and subtract fractions with unlike denominators: word problems
  • 10 Estimate sums and differences of fractions using benchmarks
  • 11 Add and subtract mixed numbers with like denominators
  • 12 Add and subtract mixed numbers with unlike denominators
  • 13 Add and subtract mixed numbers with like or unlike denominators: word problems
  • 14 Estimate sums and differences of mixed numbers

K. Multiply fractions

  • 1 Fractions of a number
  • 2 Fractions of a number: word problems
  • 3 Multiply unit fractions by whole numbers using number lines
  • 4 Multiples of fractions
  • 5 Multiply fractions by whole numbers using number lines
  • 6 Multiply fractions by whole numbers I
  • 7 Multiply fractions by whole numbers II
  • 8 Estimate products of fractions and whole numbers
  • 9 Multiply fractions by whole numbers: input/output tables
  • 10 Multiply mixed numbers and whole numbers

L. Integers

  • 1 Understanding integers
  • 2 Integers on number lines
  • 3 Graph integers on horizontal and vertical number lines
  • 4 Compare and order integers using number lines
  • 5 Compare integers
  • 6 Put integers in order
  • 7 Add integers using number lines
  • 8 Subtract integers using number lines

M. Mixed operations

  • 1 Add, subtract, multiply or divide two whole numbers
  • 2 Add, subtract, multiply or divide two whole numbers: word problems
  • 3 Evaluate numerical expressions
  • 4 Evaluate numerical expressions with brackets
  • 5 Identify mistakes involving the order of operations
  • 6 Evaluate numerical expressions with brackets in different places
  • 7 Add, subtract, multiply or divide two decimals
  • 8 Add, subtract, multiply or divide two decimals: word problems
  • 9 Evaluate numerical expressions involving decimals
  • 10 Add, subtract or multiply two fractions
  • 11 Add, subtract or multiply two fractions: word problems

N. Problem solving and estimation

  • 1 Estimate to solve word problems
  • 2 Multi-step word problems
  • 3 Word problems with extra or missing information
  • 4 Guess-and-check word problems
  • 5 Distance/direction to starting point
  • 6 Use logical reasoning to find the order

O. Ratios and rates

  • 1 Write a ratio
  • 2 Write a ratio: word problems
  • 3 Identify equivalent ratios
  • 4 Write an equivalent ratio
  • 5 Unit rates and equivalent rates

P. Percents

  • 1 What percentage is illustrated?
  • 2 Convert fractions to percents using grid models
  • 3 Convert between percents, fractions and decimals
  • 4 Convert between percents, fractions and decimals: word problems
  • 5 Compare percents to each other and to fractions
  • 6 Compare percents and fractions: word problems
  • 7 Estimate percents of numbers
  • 8 Percents of numbers and money amounts
  • 9 Percents of numbers: word problems
  • 10 Find what percent one number is of another
  • 11 Find what percent one number is of another: word problems

Q. Units of measurement

  • 1 Estimate metric measurements
  • 2 Convert and compare metric units of length
  • 3 Convert and compare metric units of mass
  • 4 Convert and compare metric units of volume
  • 5 Convert and compare metric units
  • 6 Convert metric units involving decimals
  • 7 Conversion tables
  • 8 Metric mixed units
  • 9 Convert between cubic centimetres, millilitres and litres
  • 10 Convert between square metres and hectares
  • 11 Compare temperatures above and below zero
  • 1 Find the number of each type of coin
  • 2 Add and subtract money amounts
  • 3 Add and subtract money amounts: word problems
  • 4 Multiply money by whole numbers
  • 5 Multiply money: word problems
  • 6 Divide money amounts
  • 7 Divide money amounts: word problems

S. Consumer maths

  • 1 Which is the better coupon?
  • 2 Unit prices
  • 3 Unit prices with fractions and decimals
  • 4 Sale prices
  • 1 Elapsed time
  • 2 Elapsed time: word problems
  • 3 Find start and end times
  • 4 Time units
  • 5 Convert between 12-hour and 24-hour time
  • 6 Reading schedules
  • 7 Transportation schedules

U. Coordinate plane

  • 1 Objects on a coordinate plane - first quadrant only
  • 2 Objects on a coordinate plane - all four quadrants
  • 3 Graph points on a coordinate plane
  • 4 Quadrants
  • 5 Coordinate planes as maps
  • 6 Follow directions on a coordinate plane

V. Number sequences

  • 1 Arithmetic sequences with whole numbers
  • 2 Arithmetic sequences with decimals
  • 3 Arithmetic sequences with fractions
  • 4 Complete an increasing number sequence
  • 5 Complete a geometric number sequence
  • 6 Use a rule to complete a number sequence
  • 7 Identify mistakes in number patterns
  • 8 Number sequences: word problems
  • 9 Number sequences: mixed review
  • 10 Shape patterns

W. Variable expressions

  • 1 Write variable expressions
  • 2 Write variable expressions: word problems
  • 3 Evaluate variable expressions with whole numbers
  • 4 Identify terms and coefficients

X. One-variable equations

  • 1 Does x satisfy an equation?
  • 2 Which x satisfies an equation?
  • 3 Write an equation from words
  • 4 Model and solve equations using algebra tiles
  • 5 Write and solve equations that represent diagrams
  • 6 Solve one-step equations with whole numbers
  • 7 Solve one-step equations: word problems

Y. Two-dimensional figures

  • 1 Identify and classify polygons
  • 2 Measure and classify angles
  • 3 Find a missing angle - adjacent angles
  • 4 Estimate angle measurements
  • 5 Name angles
  • 6 Identify complementary, supplementary, vertical, adjacent and congruent angles
  • 7 Find measures of complementary, supplementary, vertical and adjacent angles
  • 8 Transversal of parallel lines

Z. Symmetry and transformations

  • 2 Reflection, rotation and translation
  • 3 Translations: graph the image
  • 4 Reflections: graph the image
  • 5 Rotations: graph the image
  • 6 Sequences of transformations: graph the image

AA. Three-dimensional figures

  • 1 Identify polyhedra
  • 2 Which figure is being described?
  • 3 Nets of three-dimensional figures
  • 4 Front, side and top view
  • 5 Cross sections of three-dimensional figures

BB. Geometric measurement

  • 1 Perimeter
  • 2 Area of squares and rectangles
  • 3 Area and perimeter of figures on grids
  • 4 Area and perimeter: word problems
  • 5 Rectangles: relationship between perimeter and area
  • 6 Compare area and perimeter of two figures

CC. Data and graphs

  • 1 Interpret picture graphs
  • 2 Create picture graphs
  • 3 Interpret dot plots
  • 4 Create dot plots
  • 5 Interpret stem-and-leaf plots
  • 6 Create stem-and-leaf plots
  • 7 Create frequency tables
  • 8 Interpret bar graphs
  • 9 Create bar graphs
  • 10 Interpret double bar graphs
  • 11 Create double bar graphs
  • 12 Circle graphs with fractions
  • 13 Interpret line graphs
  • 14 Create line graphs
  • 15 Interpret double line graphs
  • 16 Create double line graphs
  • 17 Choose the best type of graph

DD. Statistics

  • 1 Calculate the mean
  • 2 Calculate the median
  • 3 Calculate the mode
  • 4 Calculate the range
  • 5 Interpret charts to find the mean
  • 6 Interpret charts to find the median
  • 7 Interpret charts to find the mode
  • 8 Interpret charts to find the range
  • 9 Mean, median, mode and range: find the missing number

EE. Probability

  • 1 Combinations
  • 2 Probability of one event
  • 3 Make predictions
  • 4 Experimental probability
  • 5 Probability of opposite, mutually exclusive and overlapping events
  • 6 Identify independent and dependent events

Ninja Maths

Weekly Maths Worksheets

mathematics problem solving questions year 6

Year 6 Free Maths Worksheets

Year 6 Free Maths Worksheets Ninja Maths

They’re not very difficult and are aimed at instilling the ethos of repeated practice.

Summary of Year 6 Maths Content

New & updated free sample worksheets coming soon, based on the UK curriculum;

Year 6 Free Maths Worksheets Ninja Maths

In the mean time you can subscribe here for free worksheets as they’re written:

International Equivalence

English Year 4 for school ages 8-9 equates to :

USA Grade 3
Australia Year 3
Republic of Ireland Third Class
South Korea Grade 3
India Grade 3
Japan Grade 3
China Grade 3
Germany Grade 3
New Zealand Year 4
Wales Year 4
Netherlands Group 5
Scotland P5

English Year 5 for school ages 9-10 equates to:

USA Grade 4
Australia Year 4
Republic of Ireland Fourth Class
South Korea Grade 4
India Grade 4
Japan Grade 4
China Grade 4
Germany Grade 4
New Zealand Year 5
Wales Year 5
Netherlands Group 6
Scotland P6

English Year 6 for school ages 10-11 equates to:

USA Grade 5
Australia Year 5
Republic of Ireland Fifth Class
South Korea Grade 5
India Grade 5
Japan Grade 5
China Grade 5
Germany Grade 5
New Zealand Year 6
Wales Year 6
Netherlands Group 7
Scotland P7

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mathematics problem solving questions year 6

November Year 5 - Sample Pages

November Year 5 Work Packs - Sample Pages

mathematics problem solving questions year 6

November Year 6 - Sample Pages

November Year 6 Work Packs - Sample Pages

COMMENTS

  1. 35 Year 6 Maths Questions

    That's right, there will be a total of 35 year 6 maths questions for us to practise. Without realising it, you just solved one of our first year 6 word problems. Excellent work! Together we will review year 6 maths problems with decimals, fractions, order of operations, and rounding. We will even consider hard maths problems, like multiplying ...

  2. Year 6 Maths Worksheets

    Year 6 Number Worksheets. Here you will find a range of Free Printable Year 6 Number Worksheets. Using these Year 6 maths worksheets will help your child to: use place value with numbers up to 10 million; use place value with up to 3 decimal places; understand how to use exponents (powers) of a number; understand and use parentheses (brackets);

  3. 20 Word Problems For Year 6: Develop Problem Solving Skills

    Key to this success is regular exposure to the style and type of questions, covering the topics children could be presented with. Our collection of year 6 maths worksheets are is a great place to start. To help child practice their problem solving skills, we have put together a collection of 20 word problems, organised by topic.

  4. 35 SATs Maths Questions Year 6 SATs Reasoning Practice

    35 SATs maths questions for KS2 year 6 SATs. For the KS2 SATs tests, there are 7 types of maths reasoning question that are likely to come up: ... For advice on how to teach children to solve problems like this, check out these maths problem solving strategies. SATs Maths Question Type 1: Single step worded problems ...

  5. Math word Problems With Answers for Grade 6

    Problems. Two numbers N and 16 have LCM = 48 and GCF = 8. Find N. If the area of a circle is 81pi square feet, find its circumference. Find the greatest common factor of 24, 40 and 60. In a given school, there are 240 boys and 260 girls.

  6. Free Year 6 Maths Worksheets & SATs Revision Worksheets (Downloadable)

    Year 6 Fluency, Reasoning and Problem Solving Skills Practice Year 6 Maths Worksheets for improving mental maths, arithmetic and fluency: Fluent in Five. We recommend every primary school child starts their day with Fluent in Five. It's 5-10 minutes of daily arithmetic questions; in Year 6 children have to answer up to 7 quick mental ...

  7. Year 6 maths questions with 1000s of free resources at MyMiniMaths

    Welcome to the Year 6 Mini-Maths homepage. Daily maths questions for Year 6 are available for every week of the year, providing free help for teachers, pupils and parents. 1000s of free tasks and activities are available to support children in their learning both in the classroom and at home. Use the search and filter box below to easily find ...

  8. Daily Maths Word Problems

    A set of 20 problem-solving questions suited to year 6 students. This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics.. It provides students with the opportunity to work through 20 maths word problems, identifying the important information and how they can work it out using a variety of methods.

  9. Problem solving

    Problem solving. Find out how the order of operations shows you which bit of a calculation to do first. Year 6 KS2 Maths Problem solving learning resources for adults, children, parents and teachers.

  10. Open-Ended Year 6 Maths Investigations (teacher made)

    These open-ended Year 6 maths investigations are a really fun and creative way to get children learning and engaging with different problems from a mathematical perspective. These activities will not only expand children's maths knowledge, but they will also help them improve their problem-solving skills and logical thinking.

  11. Year 6 Maths Problems

    Different activity sheets that give children questions that look at their fluency, reasoning or problem solving skills for that area of Maths with the answers included. Example questions from the sample reasoning papers and 2016 reasoning papers are also being included for mini practise. More topics will continue to be included.

  12. Daily Math Word Problems

    A set of 20 problem-solving questions suited to grade 6 students. This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics. It provides students with the opportunity to work through 20 math word problems, identifying the important information and how they can work it ...

  13. Maths Mastery

    Year 6 Maths Mastery Challenge Cards on Bumper Pack. 4.6 (5 reviews) Year 6 Diving into Mastery: Step 1 Add and Subtract Integers Teaching Pack. 4.4 (7 reviews) Year 6 Diving into Mastery: Step 16 Mental Calculations and Estimation Teaching Pack. PlanIt Maths Year 6 Algebra Lesson Pack 10: Solving Equations.

  14. Problem-solving Maths Investigations for Year 6

    By Nick Barwick - 7 Aug 2018. Hamilton provide an extensive suite of problem-solving maths investigations for Year 6 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor - high ceiling' activities for all. Explore all our in-depth problem solving investigations for Year 6.

  15. Practice Questions

    The Corbettmaths Practice Questions - a collection of exam style questions for a wide range of topics. Perfect to use for revision, as homework or to target particular topics. Answers and video solutions are available for each.

  16. KS2 Maths Quiz: Mastering Everyday Problem Solving

    Solving Problems (Year 6) Learning KS2 Maths is like solving puzzles from everyday life. In Year Six, you'll tackle big numbers and explore measures like millilitres, litres, grams, kilograms, millimetres, kilometres, minutes, and hours. Solving problems means using multiplication, division, addition, or subtraction - maybe even all of them!

  17. Problem Solving Questions

    Problem Solving Questions - Worksheets - Year 6. Subject: Maths for early years. Age range: 7-11. Resource type: Worksheet/Activity. File previews. pdf, 86.85 KB. pdf, 111.01 KB. pdf, 111.06 KB. Mixture of maths problem solving questions worksheets for year 6 students.

  18. Maths Mastery

    Examples of Year 6 Maths Problem-Solving Resources: The following are examples of resources on this page that you can use to help plan your year 6 maths lessons: Year 6 Diving into Mastery: Draw Nets of 3D Shapes Teaching Pack - help your children to consolidate and deepen their understanding of nets in preparation for year 6 SATs.

  19. Problem Solving

    Developing Excellence in Problem Solving with Young Learners. Age 5 to 11. Becoming confident and competent as a problem solver is a complex process that requires a range of skills and experience. In this article, Jennie suggests that we can support this process in three principal ways. Using NRICH Tasks to Develop Key Problem-solving Skills.

  20. 100 Reasoning and Problem Solving Questions for Year 6

    Speak to us about resources or 1-to-1 maths for your school 020 3771 0095. Login. Register for free ... SATs, Home Learning. 100 Reasoning and Problem Solving Questions for Year 6. 100 Reasoning and Problem-Solving SATs-style questions for Year 6 complete with an answers. 25 Addition and Subtraction Questions; 25 Fractions, Decimals and ...

  21. Reasoning/Problem Solving Maths Worksheets for Year 6 (age 10-11)

    Puzzle: 12 To 15. Logical thinking needed here. Plenty of problem solving to do in Year 6, together with explaining why particular methods have been chosen. Recognising patterns in number and predicting sequences are both important steps towards using algebra at High School.

  22. PDF Year 6 Division to Solve Problems Reasoning and Problem Solving

    Mathematics Year 6: (6F9c) Use written division methods in cases where the answer has up to two decimal places Differentiation: Questions 1, 4 and 7 (Problem Solving) Developing Explain whether a given calculation would solve the given problem where there may be up to one exchange.

  23. NRICH topics: NC NC Yr 6

    We have found 51 NRICH Mathematical resources connected to NC Yr 6, you may find related items under NC

  24. 100 Reasoning and Problem Solving Questions for Year 6

    Help your Year 6 pupils feel confident with reasoning and problem solving questions with these 100 SATs style arithmetic questions. These questions are grouped by topic to make them easier to use. The resource includes an answer scheme.

  25. IXL

    16. Put a mix of decimals, fractions and mixed numbers in order. 1. Add and subtract fractions with like denominators using number lines. 2. Add and subtract fractions with like denominators. 3. Add and subtract fractions with like denominators: word problems.

  26. Year 6 Free Maths Worksheets

    Summary of Year 6 Maths Content. New & updated free sample worksheets coming soon, based on the UK curriculum; Number - number and place value. Number - addition, subtraction, multiplication and division. Number - fractions (including decimals and percentages) Ratio and proportion. Algebra.