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Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

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Summing Consecutive Numbers

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

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Always the Same

Arrange the numbers 1 to 16 into a 4 by 4 array. Choose a number. Cross out the numbers on the same row and column. Repeat this process. Add up you four numbers. Why do they always add up to 34?

Number Pyramids

Age 11 to 14 Challenge Level:
Increase the first number on the bottom layer by 1.
What happens to the total at the top?
Now try with the other numbers. What do you notice?

You might like to use letters or symbols to explain what's happening...