otago problem solving questions and answers 2020

Otago Problem Solving

Otago university maths  problem-solving challenge.

At Kenakena we have been focusing on delivering a school-wide maths programme where problem-solving is at the heart.

Problem Challenge is a mathematics problem solving competition aimed primarily at Intermediate School children. It is organised by members of the Department of Mathematics at the University of Otago ( https://www.maths.otago.ac.nz/pc/ ).

Children participating in the competition attempt to answer five questions in 30 minutes on each of five problem sheets, which are done about a month apart starting in April.

The Otago University programme is well suited to what we do and our participating students do really well. Children from Years 6 to 8 are nominated by their teachers based on a recognised ability to solve demanding mathematical problems. In 2015, 55% of our students who participated achieved an Excellence award!

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University of Otago Problem Challenge

• October 26, 2023

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Welcome to the Junior Mathematics Competition!

This year the competition will be held in two parts – the first being a multiple-choice and short answer exam sat entirely online , while the second part will be a paper exam limited to the top 15 percent of participants in the first part.

The first part of the competition will be sat from Monday April 4 to Friday April 8 inclusive , while the second part will be held on Wednesday May 11 .

2022 is the 37th year of this highly successful Competition.

This mathematics competition is for students in years 9 to 11 (forms 3 to 5), although younger students may also take part. Every student throughout New Zealand sits the competition on exactly the same days, usually two Wednesdays in April in May (one for each part).

The competition lasts for 50 minutes per part (so one hour, 40 minutes in total). The emphasis is on problem solving, so expect surprises!

Mathematical skills are important, but so is careful reading. Students who read the questions carefully and work out exactly what is being asked generally do better than those who jump in and write down the first thing that springs to mind.

Although many of the same questions are asked for each year level, students only compete against students at the same level as themselves. (However students in years 7 or 8 are regarded as being in year 9 for the purposes of the competition.)

Hi there, this is another post.

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Room 23 Learning Log

"We learn more by looking for the answer to a question and not finding it than we do from learning the answer itself." (Lloyd Alexander)

Thursday, June 16, 2011

Otago problem solving..

The Otago Problem Challenge is a mathematics problem solving competition aimed at Intermediate School children. It is organised by members of the Department of Mathematics at the University of Otago.

Children participating in the competition attempt to answer five questions in 30 minutes. The questions get harder as you go. Question 1 being the easiest and 5 the hardest.

Here is question 4 from today challenge.

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Type I: Circular

Download Reasoning Questions with Answers Pdf

DIRECTIONS(1 to 5): Study the following information carefully and answer the given questions.

A, B, C, D, E, F, G and H are sitting around a circular table, facing the center. Each of them plays a different game, viz. Tennis, Hockey, Cricket, Football, Chess, Golf, Swimming and Shooting.The Golfer sits third to the left of A. The one who plays Chess is an immediate neighbor of A. E, who plays Hockey, sits third to the right of the Chess player. G is neither a Swimmer nor a Shooter. B and� F always sit adjacent to each other. There is only one person between A and E. The Swimmer sits second to the left of C. F sits second to the right of the Shooter. Neither B nor F plays Chess. A is neither a Cricketer nor a shooter and sits opposite D. The Football player and the Hockey player sit opposite each other. C plays neither Football� nor Golf. There is at least one player between the Shooter and the Hockey

E. Can�t be determined

Correct option is : C

• What is the position of H, with respect to the golfer?

A. Third to the left

B. Third to the right

C. Fifth to the left

D. Fourth to the left

E. None of these

Correct option is : D

• Which of the following is true with respect to the given sitting arrangement?

A. The Shooter is on the immediate left of the

B. The Golfer and the Swimmer sit opposite to each

C. The Football player sits exactly between the Cricketer and the Chess player.

Correct option is : B

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TYPE II � PUZZLE

Direction (1 � 5): Study the information given below and answer the questions based on it.

A, B, C, D, E, F, and G are seven Professionals who work in three different companies namely TCS, Infosys and HCL, such that not less than two Professionals work in the same company. Each Professional has a different car namely Renault Duster, Chevrolet Beat, Maruti Suzuki Desire, Maruti Suzuki Swift, Maruti Suzuki WagonR, Mercedes Benz and Honda city but not necessarily in the same order. A likes Mercedes Benz and works in the TCS Company with only one other friend who likes Maruti Suzuki Swift. G works with two other Professionals. Both the Professionals who work with G like same company car (here car include only Desire, swift and WagonR). D works in the Infosys Company with only one person and does not like Chevrolet Beat. E works with only one Professional. The one who likes Renault Duster does not work in the TCS or Infosys Company. E does not like same company car (desire, swift and WagonR). C does not like Maruti Suzuki Desire, Maruti Suzuki WagonR or Chevrolet Beat.

• Which of the following is C�s car?
• Who among the following work in the HCL Cmpany?

AD. ll of the above

• Which of the following combination is definitely correct?

A. Renault – E – HCL

B. Beat – C – TCS

C. Honda – D – Infosys

D. Benz – D – TCS

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TYPE III � FLOOR & BOX

Seven friends named� P, R, M, L, D, S and N live on seven different floors of a building, but not necessarily in the same order. The lowermost floor of the building is numbered one the above that is numbered two and so on till the topmost floor is numbered seven. Each one of them likes different companies Laptop viz, Samsung, Dell, Lenovo, HP, Acer, Apple and Sony but not necessarily in the same order. Only three people live between R and D. R lives above D. D doesn�t live on the lowermost floor. Only one people live between R and the one who likes Lenovo. The one who likes Sony live on an even numbered floor above the one who likes Lenovo. Only two people live between N and the one who likes Lenovo. The one who likes Samsung lives immediately above N. P lives immediately above S. P does not like Lenovo. The one who likes HP lives on an odd numbered floor below S. N does not like HP. L live above M. Only one person lives between the one who likes Acer and the one who likes Apple. L does not like Acer. N does not like Dell.

• R likes which of the following laptops?

Correct option : D

• Who amongst the following lives on the floor numbered 4 ?

A. The one who likes

B. The one who likes

Correct option : A

• Which of the following statements is true with respect to the given arrangement ?

A. Only two people live between D and

B. The one who likes Apple lives immediately above

D. M lives on an even numbered

Correct option : B

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Type IV: PARALLEL LINE

Directions (1 to 5): Study the following information to answer the given questions.

Eight people- E, F, G, H, W, X, Y and Z are sitting in two parallel rows containing four people each. E, F, G and H are sitting in row-l facing north and W, X, Y and Z are sitting in row-2 facing south (but not necessarily in the same order. Thus, each person sitting in row-1 faces another person sitting in row-2. Each of the two rows consists of one doctor, one engineer, one pilot and one scientist (but not necessarily in the same order). The Doctor of row-l sits second to the right of H. X face one of the immediate neighbours of H. Only one person sits between the X and the Scientist. The one who faces the Scientist of row-2 is an immediate neighbour of E. Only one person sits between E and the Pilot. W sits second to the right of Z. Y does not face G. The Scientist of row 1 faces the Engineer of row-2 . G faces one of the immediate neighbours of the Doctor of row-2. The Doctor of row-2 does not sit at any of the extreme ends of the line. Z is not a Doctor.

• Which of the following represents the people sitting at extreme ends of both the lines?

A. F, H and X, Y

B. F, H and Z, W

C. G, E and Z, X

D. E, H and X, Z

E. G, E and W, Y 3

Correct option is: 3

• Who amongst the following sits to the immediate left of pilot of row-1?

B. The Doctor of row-1

C. The Engineer of row-1

Correct option is : 4

• Which of the following represent both the immediate neighbours of Y?

A. Z and the Scientist of row-2

B. X and the Engineer of row-2

C. W and the Doctor of row-2

D. X and the Pilot of row-2

E. W and the Pilot of row-2

Correct option is: 5

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Type V : SINGLE LINE

Directions (1 � 5): Study the following information answer the given questions:

P, Q, R, S, T, V and W are sitting in a straight line facing north but not necessarily in the same order. R sits third to the left of W. Neither R nor W sits at extreme ends of the line. Only one person sits between R and T. S is not an immediate neighbour of either R or W. Two people sit between T and P. Q is an immediate neighbour of S.

• Who amongst the following sits exactly between R and T ?
• How many persons are sitting between P and W ?

E. More than four

• What is the position of T with respect to Q ?

Third to the left

Fourth to the right

Second to the right

Second to the left

Immediate left

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TYPE VI : SQUARE

Directions (1 to 5):Study the following information carefully and answer the given questions.

Eight friends, Meenal, Rumia, Shikha, Ali, Peter, Harleen, Ketan and Bharat are sitting around a square table in such a way that four of them sit at four corners of the square while four sits in the middle of each of the four sides. The ones who sit at the four corners face the centre while those who sit in the middle of the sides face outside. Bharat sits second to the right of Shikha. Bharat does not sit at any of the corners. Meenal sits third to the right of Peter. Peter is not an immediate neighbour of Shikha. Rumia and Ketan are immediate neighbours of each other but Rumia does not sit at any of the corners of the table. Harleen is neither an immediate neighbour of Peter nor Shikha.

1. Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?

Correct option is: C

2. Who sits third to the left of Ali?

E. Cannot be determined

Correct option is: B

3. What is the position of Peter with respect to Meenal?

To immediate left

Third to the right

Problem Solving Question & Answers PDF�

Online Mock Test 2020

[table id=188 /]

Registration

Dates for 2024.

Set 1 Set 2 Set 3 Set 4 Set 5   Final Challenge 11 April 16 May 20 June 25 July 22 August   Thursday 17 October

Dates for 2025

Rules for problem challenge.

• Eligibility: Children up to Year 8 are eligible to take part, and must be entered in their correct year. The competition is normally restricted to Years 6, 7 and 8, although it is possible to enter very able Year 5 children and classify them as Year 6.
• Security: Each set of questions is provided a few days before the administration day to give you time to make sufficient copies for your pupils. The original and copies must be kept secure.
• No preparation: Prior to each Problem Challenge set you must not prepare the children specifically for any problems on the set. Although you will have seen the questions and answers beforehand, any “problem solving” instruction given to the children must be of a general nature and must not give them any special advantage. We want honest assessments of your pupils’ abilities.
• Duration: Children should be given 30 minutes to complete each set. If children finish early, you must not mark their work until after the 30 minutes.
• No help given: You may not assist pupils during each Problem Challenge set, other than perhaps to explain the meaning of an unfamiliar word or phrase. It is important that all children throughout the country are on an equal footing. You may wish to refer to the glossary of common mathematical words that are used in the competition, and to ensure all your children understand their meanings.
• Dates: Administer the Problem Challenge sets on the days specified where at all possible. If this is not suitable, then please arrange to do it as close as possible to this day, and standardised throughout the school if there are pupils in more than one class involved. We understand that occasionally because of school camps or sports activities the Problem Challenge set may have to be postponed to a different week.
• Calculators: The use of calculators is permitted but should be of little advantage. All the problems we set are capable of being done “by hand”.
• Absentees: Inevitably children will miss tests for various reasons. Teachers may at their discretion allow a child to complete a challenge later, under the usual conditions, provided they are confident the child has not seen the questions or answers. Because of the logistics involved, the awarding of certificates will be based on the total number of problems correct and cannot take absences into account.

Rules for Final Challenge