# 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. If goldilocks and the three little pigs sat down at a table, how many legs would there be?

 A. 6 B. 14 C. 34 D. 30 E. 10 This question was suggested by Flossie Roberts, Portland, Dorset

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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

8. The perimeter of a rectangle is 28.6cm. One side of the rectangle is 5.1cm. What is the size of the longer side of the rectangle?

 A. 18.6cm B. 18.4cm C. 10.2cm D. 9.2cm E. 9.3cm This question was suggested by Hockey Puck, Birmingham

9. 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

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 14 October 'Starter of the Day' page by Inger Kisby, Herts and Essex High School:

"Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work."

Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. 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!

#### Vinculum

This activity comprises of five challenges each one requiring you to type in one more fraction than the previous challenge and each starting with a different fraction. The starting fractions are one tenth, one quarter, one third, one half and four sevenths.

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.