Can you find different ways of creating paths using these paving slabs?
$40$ can be written as $7^2 - 3^2.$ Which other numbers can be written as the difference of squares of odd numbers?
What's the fairest way to choose 2 from 8 potential prize winners? How likely are you to be chosen?
At what angle should you throw something to maximise the distance it travels?
Can you make all of these statements about averages true at the same time?
Annie and Ben are playing a game with a calculator. What was Annie's secret number?
How could you arrange at least two dice in a stack so that the total of the visible spots is 18?
The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?
48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?
The Egyptians expressed all fractions as the sum of different unit fractions. Here is a chance to explore how they could have written different fractions.
