List

How Numbers Behave

Our number system uses powers of 10 to express large numbers concisely. These problems have been chosen to help you develop a better understanding of this place value system.

Dicey Operations
game
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Dicey Operations

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Two and Two
problem
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Two and Two

Age
7 to 16
Challenge level
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How many solutions can you find to this sum? Each of the different letters stands for a different number.

Difference Sudoku
problem
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Difference Sudoku

Age
14 to 16
Challenge level
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Use the differences to find the solution to this Sudoku.
Always a multiple?
problem
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Always a multiple?

Age
11 to 14
Challenge level
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Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Method in multiplying madness?
problem
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Method in multiplying madness?

Age
7 to 14
Challenge level
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Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
Power mad!
problem
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Power mad!

Age
11 to 14
Challenge level
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Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

Short problems
list

Short problems

Age
11 to 14
A collection of short problems to test your understanding of place value.