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Partition Clues

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

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partition 377

The numbers are consecutive Fibonacci numbers.
The smaller number is on the left.

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The first number is three to the power four.
The third number is four to the power three.

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The first number is the sum of the first eight prime numbers.
The second number is the sum of the first nine prime numbers.
The third number is the sum of the first ten prime numbers.

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The numbers are in ascending order (smallest to largest). They include the largest single-digit Finonacci number, the smallest two-digit Finonacci number, the largest two-digit Finonacci number and the second smallest three-digit Finonacci number.

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

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.

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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?

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Playing Card Maths

Playing Card Maths

Imagine you are on a desert island with nothing but a pack of playing cards. Do you have to stop learning mathematics? Of course not! Here are some great ideas for teachers, parents and tutors.

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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']"

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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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