Search

Three circles of different radii each touch the other two. What can you deduce about the arc length between these points?

Can you find a number that is halfway between two fractions?

This pattern repeats every 12 dots. Can you work out what a later piece will be?

Weekly Problem 39 - 2010
If you know three lengths and an angle in this diagram, can you find another angle by calculation?

Can you make the numbers around each face of this solid add up to the same total?

The squares of this grid contain one of the letters P, Q, R and S. Can you complete this square so that touching squares do not contain the same letter? How many possibilities are there?

How many 10-digit numbers containing only 1s, 2s and 3s can you write?

Tina has chosen a number and has noticed something about its factors. What number could she have chosen? Are there multiple possibilities?

What does Pythagoras' Theorem tell you about the radius of these circles?

Every third page number in this book has been omitted. Can you work out what number will be on the last page?