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Weighty Problem
problem

Weighty Problem

11 to 14
The diagram shows a very heavy kitchen cabinet. It cannot be lifted but it can be pivoted around a corner. The task is to move it, without sliding, in a series of turns about the corners so that it is facing the other way round.
Colouring curves game
game

Colouring Curves Game

7 to 14

In this game, try not to colour two adjacent regions the same colour. Can you work out a strategy?

\pH temperature
problem

pH Temperature

16 to 18

At what temperature is the pH of water exactly 7?

The Square Hole
problem

The Square Hole

14 to 16
If the yellow equilateral triangle is taken as the unit for area, what size is the hole ?
Countdown fractions
problem
Favourite

Countdown Fractions

11 to 16

Here is a chance to play a fractions version of the classic Countdown Game.

Leonardo's Problem
problem
Favourite

Leonardo's Problem

14 to 18

A, B & C own a half, a third and a sixth of a coin collection. Each grab some coins, return some, then share equally what they had put back, finishing with their own share. How rich are they?

Discrete Trends
problem
Favourite

Discrete Trends

16 to 18

Find the maximum value of n to the power 1/n and prove that it is a maximum.

Put Out
problem
Favourite

Put Out

16 to 18

After transferring balls back and forth between two bags the probability of selecting a green ball from bag 2 is 3/5. How many green balls were in bag 2 at the outset?

game
Favourite

Vector Gem Collector

14 to 18

Use vectors to collect as many gems as you can and bring them safely home!

Three consecutive odd numbers
problem

Three Consecutive Odd Numbers

11 to 16

How many sets of three consecutive odd numbers can you find, in which all three numbers are prime?

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