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Sheep Talk
problem

Sheep Talk

7 to 11
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In sheep talk the only letters used are B and A. A sequence of words is formed by following certain rules. What do you notice when you count the letters in each word?
It's a Fence!
problem

It's a Fence!

5 to 11
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In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.
Summing squares
problem

Summing Squares

14 to 16
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Discover a way to sum square numbers by building cuboids from small cubes. Can you picture how the sequence will grow?
Crazy Cannons
problem

Crazy Cannons

16 to 18
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Two cannons are fired at one another and the cannonballs collide... what can you deduce?

Odd Differences
problem
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Odd Differences

14 to 16
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The diagram illustrates the formula: 1 + 3 + 5 + ... + (2n - 1) = n² Use the diagram to show that any odd number is the difference of two squares.

Least of All
problem

Least of All

16 to 18
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A point moves on a line segment. A function depends on the position of the point. Where do you expect the point to be for a minimum of this function to occur.
A Chance to Win?
problem
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A Chance to Win?

11 to 14
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Imagine you were given the chance to win some money... and imagine you had nothing to lose...

Number Daisy
problem
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Number Daisy

11 to 14
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Can you find six numbers to go in the daisy from which you can make all the numbers from 1 to a number bigger than 25?

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