# Problem Solving Multiple Choice Topic Test

## Test your understanding of problem solving with this ten question, self-marking multiple choice exercise.

##### Shape (3D)AlgebraAnglesArithmeticAveragesDecimalsFractionsMensurationMoneyNumberPercentagesProbabilityProblem SolvingRatioSequencesShapeTimeIndicesNegativesGeometry Other Topics Pentransum

Here are 10 Problem Solving multiple choice questions written by people from around the world while using the main Pentransum activity. You can earn a Transum Trophy for answering at least 9 of them correctly.

1. How many buses will be needed to hold 476 people when a bus can hold 52 people.

 A. 8 B. 9 C. 7 D. 10 E. 6 This question was suggested by Finn Meyer, Christian-von-Dohm-Gymnasium Goslar, Germany

2. If Dan and Don share \$48 in the ratio 5:1 how much more than Don will Dan receive?

 A. \$5 B. \$8 C. \$32 D. \$40 E. \$47

3. Mr and Mrs Thomson have six children and the sum of their ages is 63. What was the sum of the ages of the Thomson children 7 years ago?

 A. 21 B. 32 C. 65 D. 23 E. 22 This question was suggested by Caitlyn Dawbin,

4. A frog is in a well 12m deep. Every time the frog jumps 2m, it falls down 1 m. how many leaps does the frog have to make to reach to the surface?

 A. 10 B. 13 C. 12 D. 11 E. 5 This question was suggested by Yash, United Arab Emirates

5. If Bob has 44p and Bill has 22p how much does Bob have to give Bill so they have the same amount of money?

 A. 45p B. 2p C. 11p D. 34p E. 12p This question was suggested by Sophie Brown, Newcastle

6. I'm thinking of a number: I add 6, divide by 4 and then times it by 5 and my answer is 35, what was my original number?

 A. 26 B. 34 C. 35 D. 22 E. 21 This question was suggested by Rebecca and Michelle, Leeds

7. A snail climbs up a 12m wall. It climbs 3m each day, but slips back 2m each night. On what day will it reach the top of the wall?

 A. 9th B. 12th C. 11th D. 14th E. 10th This question was suggested by Gillian, New Zealand

8. I thought of a number, divided it by 6, added 52, doubled it and subtracted five. I ended up with 111. What number did I start with?

 A. 36 B. 16 C. 8 D. 7 E. 12 This question was suggested by Terry, Yorkshire

9. 30% of A = 30% of 30 + 30. Find A

 A. 100 B. 130 C. 30 D. 31 E. 60 This question was suggested by Nevin, Kerala

10. Two apples and three bananas cost £1.70, and the price of a banana is 75% of the price of an apple. What is the price of an apple?

 A. 30p B. 17p C. 70p D. 29p E. 40p This question was suggested by Beth, North Berwick, Scotland, UK

Please note that unlike other Transum online exercises, the check button for this multiple choice quiz can only be clicked once when you have answered all ten questions. Check your answers carefully before clicking the button below. You teed to get at least 9 questions correct to be awarded a Transum Trophy.

Check

## Instructions

Try your best to answer the questions above. Choose one of the five possible answers. When you have finished click the "check" button. If you have any questions wrong, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. You can also claim a 'Transum Trophy' by completing this quiz.

## Transum.org

This web site contains hundreds of free mathematical activities for teachers and students. Click here to go to the main page which links to all of the resources available.

## More Activities:

Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

Comment recorded on the 9 April 'Starter of the Day' page by Jan, South Canterbury:

"Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you."

Teacher! Are you delivering Maths lessons online?

Parents! Has home-schooling been thrust upon you at short notice?

Stay safe and wash yout hands!

#### Connect 4 Factors

A mathematical version of the popular Connect 4 game based on getting four numbers with a common factor in a line. Fun for one, two or a whole class of pupils.

There are answers to this exercise but they are only available to teachers who have subscribed to Transum and are currently signed in on this computer.

A Transum subscription unlocks the answers to most of the student online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum topic pages so that teachers can easily find the excellent resources we have found and add to the collection themselves.

Class lists, lesson plans and assessment data can also be stored in the Class Admin application and the teacher also has access to the Transum Trophies earned by class members.

## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. Click here for more activities designed for students in upper Secondary/High school.

## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below.

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.