Search

Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

What do you notice about these families of recurring decimals?

Can you match these calculations in Standard Index Form with their answers?

This is an adding game for two players. Can you be the first to reach the target?

$40$ can be written as $7^2 - 3^2.$ Which other numbers can be written as the difference of squares of odd numbers?

The large rectangle is divided into quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?

Investigate the numbers that come up on a die as you roll it in the direction of north, south, east and west, without going over the path it's already made.

Sam sets up displays of cat food in his shop in triangular stacks. If Felix buys some, then how can Sam arrange the remaining cans in triangular stacks?