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Can you find the areas of the trapezia in this sequence?

Can you recreate squares and rhombuses if you are only given a side or a diagonal?

Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?

Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?

Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?

What do you notice about the sum of two identical triangular numbers?

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

Scientists often require solutions which are diluted to a particular concentration. In this problem, you can explore the mathematics of simple dilutions