year 5 prime numbers problem solving

Prime numbers: Reasoning and Problem Solving

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Year 5 - Number

Standard 5.NS.1.3 - Practice identifying prime and composite numbers.

Included Skills:

Number - multiplication and division • Pupils should be taught to: - identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers - know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers - establish whether a number up to 100 is prime and recall prime numbers up to 19 - multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers - multiply and divide numbers mentally drawing upon known facts - divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context - multiply and divide whole numbers and those involving decimals by 10, 100 and 1000 - recognise and use square numbers and cube numbers, and the notation for squared (�) and cubed (�) - solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes - solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign - solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.

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Resources tagged with: Prime numbers

There are 47 NRICH Mathematical resources connected to Prime numbers , you may find related items under Properties of numbers .

Dicey Array

Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?

Statement Snap

You'll need to know your number properties to win a game of Statement Snap...

Number Families

How many different number families can you find?

Sieve of Eratosthenes

Follow this recipe for sieving numbers and see what interesting patterns emerge.

How Much Can We Spend?

A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

Factors and Multiples Game

A game in which players take it in turns to choose a number. Can you block your opponent?

Factors and Multiples Puzzle

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

Can you work out what step size to take to ensure you visit all the dots on the circle?

Fac-finding

Lyndon chose this as one of his favourite problems. It is accessible but needs some careful analysis of what is included and what is not. A systematic approach is really helpful.

Two Primes Make One Square

Can you make square numbers by adding two prime numbers together?

Factor Lines

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

One to Eight

Complete the following expressions so that each one gives a four digit number as the product of two two digit numbers and uses the digits 1 to 8 once and only once.

Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.

Em'power'ed

Find the smallest numbers a, b, and c such that: a^2 = 2b^3 = 3c^5 What can you say about other solutions to this problem?

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.

Xavi's T-shirt

How much can you read into a T-shirt?

Swimming Pool Tiles

This activity creates an opportunity to explore all kinds of number-related patterns.

Factors and Multiples Game for Two

Factors and Multiples game for an adult and child. How can you make sure you win this game?

Prime Counter

A short challenge concerning prime numbers.

Prime Sequences

This group tasks allows you to search for arithmetic progressions in the prime numbers. How many of the challenges will you discover for yourself?

The flow chart requires two numbers, M and N. Select several values for M and try to establish what the flow chart does.

A man has 5 coins in his pocket. Given the clues, can you work out what the coins are?

Show that it is rare for a ratio of ratios to be rational.

There's Always One Isn't There

Take any pair of numbers, say 9 and 14. Take the larger number, fourteen, and count up in 14s. Then divide each of those values by the 9, and look at the remainders.

Numbers as Shapes

Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?

An Introduction to Proof by Contradiction

An introduction to proof by contradiction, a powerful method of mathematical proof.

Different by One

Can you make lines of Cuisenaire rods that differ by 1?

When if ever do you get the right answer if you add two fractions by adding the numerators and adding the denominators?

Public Key Cryptography

An introduction to coding and decoding messages and the maths behind how to secretly share information.

Factorial Fun

How many divisors does factorial n (n!) have?

A Conversation Piece

Take the number 6 469 693 230 and divide it by the first ten prime numbers and you'll find the most beautiful, most magic of all numbers. What is it?

Just Repeat

Think of any three-digit number. Repeat the digits. The 6-digit number that you end up with is divisible by 91. Is this a coincidence?

Code Breaker

This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?

Penta Primes

Using all ten cards from 0 to 9, rearrange them to make five prime numbers. Can you find any other ways of doing it?

Tom's Number

Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.

Powerful Factorial

6! = 6 x 5 x 4 x 3 x 2 x 1. The highest power of 2 that divides exactly into 6! is 4 since (6!) / (2^4 ) = 45. What is the highest power of two that divides exactly into 100!?

Great Granddad

Great Granddad is very proud of his telegram from the Queen congratulating him on his hundredth birthday and he has friends who are even older than he is... When was he born?

Factoring a Million

In how many ways can the number 1 000 000 be expressed as the product of three positive integers?

Factoring Factorials

Find the highest power of 11 that will divide into 1000! exactly.

Strange Numbers

All strange numbers are prime. Every one digit prime number is strange and a number of two or more digits is strange if and only if so are the two numbers obtained from it by omitting either its first or its last digit. Find all strange numbers.

Never Prime

If a two digit number has its digits reversed and the smaller of the two numbers is subtracted from the larger, prove the difference can never be prime.

Thirty Six Exactly

The number 12 = 2^2 × 3 has 6 factors. What is the smallest natural number with exactly 36 factors?

A number N is divisible by 10, 90, 98 and 882 but it is NOT divisible by 50 or 270 or 686 or 1764. It is also known that N is a factor of 9261000. What is N?

Find the smallest positive integer N such that N/2 is a perfect cube, N/3 is a perfect fifth power and N/5 is a perfect seventh power.

The sum of the cubes of two numbers is 7163. What are these numbers?

What's Left?

Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?

Prompt Cards

These two group activities use mathematical reasoning - one is numerical, one geometric.

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Prime Numbers and Factors (Year 5)

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Help children to learn all about prime numbers and factors with this PowerPoint. They will think about the difference between prime and composite numbers, before learning how to identify prime numbers and prime factors. As a final review activity, encourage children to make their own factor trees and see if their number has any prime factors.

• Key Stage: Key Stage 2
• Subject: Maths
• Topic: Multiplication & Division
• Topic Group: Calculations
• Year(s): Year 5
• Media Type: PowerPoint
• Resource Type: PowerPoint
• Last Updated: 28/09/2022
• Resource Code: M2PAC1491
• Curriculum Point(s): Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers. Establish whether a number up to 100 is prime and recall prime numbers up to 19.

Related Topics:

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Year 5 Prime Numbers Maths Challenge

This Year 5 Prime Numbers Maths Challenge checks your child’s understanding of prime numbers while developing their problem solving ability. Children will have to apply their knowledge of prime numbers to work out where children are on a board game.

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Teacher Specific Information

This Year 5 Prime Numbers Maths Challenge checks pupils’ understanding of prime numbers while developing their problem solving ability. Pupils will have to apply their knowledge of prime numbers to work out where children are on a board game.

National Curriculum Objectives

Calculation – multiplication and division (5C5b) Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers

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Year 5 / 6 Prime Numbers to 100 investigation - with and without scaffolding

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

14 March 2018

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great, perfect ready to use

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Simple and effective, thanks!

libbycharlie

A great resource that I was able to leave a supply teacher with as part of their planning - differentiation worked well for my set. Many thanks

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