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Can you make sense of the three methods to work out what fraction of the total area is shaded?
Can you make sense of these three proofs of Pythagoras' Theorem?
This problem challenges you to find cubic equations which satisfy different conditions.
This is an interactivity in which you have to sort the steps in the completion of the square into the correct order to prove the formula for the solutions of quadratic equations.
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?
If you take four consecutive numbers and add them together, the answer will always be even. What else do you notice?
Is there a quick and easy way to calculate the sum of the first 100 odd numbers?
Take four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?
How many sets of three consecutive odd numbers can you find, in which all three numbers are prime?