# Partition Clues

## Partition numbers in different ways according to the clues given. It gets hard!

##### MenuLevel 1Level 2Level 3Level 4Level 5Level 6Level 7Level 8Level 9Level 10

partition 89

 The two numbers are consecutive with the smallest on the left. ☐ ✓ ✗ ☐ ✓ ✗ + The numbers are the factors of 415 (excluding 415) and are in order of size (smallest first). ☐ ✓ ✗ ☐ ✓ ✗ + ☐ ✓ ✗ + The first three numbers are multiples of ten. The last number is less than ten. The first number is 150% more than the second number. The third number is 50% of the second number. ☐ ✓ ✗ ☐ ✓ ✗ + ☐ ✓ ✗ + ☐ ✓ ✗ + The first number is a multiple of 10. The other numbers are all less than ten. The middle three numbers are the factors of ten (excluding 10). The numbers are in descending order of size. ☐ ✓ ✗ ☐ ✓ ✗ + ☐ ✓ ✗ + ☐ ✓ ✗ + ☐ ✓ ✗ +
Check

This is Partition Clues level 7. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 8 Level 9 Level 10

## Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, 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.

## More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy:

"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."

Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:

"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

#### Tower of Hanoi

Move the pieces of the tower from one place to another in the minimum number of moves. This puzzle was invented in 1883 but is still as captivating today as it was all those years ago.

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

Subscribe

## 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. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## 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 in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Wei-En, Singapore

Monday, July 3, 2023

"Level 7 doesn't make sense. 150% of 20 is 30 but this one says 50, which only is 60. Maybe check the thing and see if there is a calculation error.

[Transum: Thanks for your feedback Wei-En. If you read the clue carefully it says '150% more than the second number' - not '150% of the second number']"

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.

For Students:

For All:

Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=240

## Description of Levels

Close

Level 1 - Partition 5

Level 2 - Partition 8

Level 3 - Partition 13

Level 4 - Partition 21

Level 5 - Partition 34

Level 6 - Partition 55

Level 7 - Partition 89

Level 8 - Partition 144

Level 9 - Partition 233

Level 10 - Partition 377

For Level 8 the clues are given as ratios.

For Level 9 the clues are given as simultaneous equations.

For Level 10 the clues are given as Fibonacci numbers, primes and powers.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you donâ€™t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.