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Partition Clues

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

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partition 89

The two numbers are consecutive with the smallest on the left.

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The numbers are the factors of 415 (excluding 415) and are in order of size (smallest first).

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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.

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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.

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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.

Why am I learning this?

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

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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.

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Teachers

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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.

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Description of Levels

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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 don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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