Being resourceful

problem
Favourite

Perception Versus Reality

Age

14 to 18

Challenge level

1 out of 3

Infographics are a powerful way of communicating statistical information. Can you come up with your own?
game
Favourite

Vector Gem Collector

Age

14 to 18

Challenge level

1 out of 3

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

Quad in Quad

Age

14 to 18

Challenge level

2 out of 3

Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?
problem
Favourite

Iff

Age

14 to 18

Challenge level

2 out of 3

Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?
problem
Favourite

The Root of the Problem

Age

14 to 18

Challenge level

2 out of 3

Find the sum of this series of surds.
problem
Favourite

Negative Powers

Age

14 to 18

Challenge level

2 out of 3

What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?
problem
Favourite

Always Perfect

Age

14 to 18

Challenge level

2 out of 3

Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
problem
Favourite

Two Trees

Age

16 to 18

Challenge level

1 out of 3

Can you find the distance between the two trees using the information given?
problem
Favourite

Teams

Age

16 to 18

Challenge level

1 out of 3

Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.
problem
Favourite

Three by One

Age

16 to 18

Challenge level

1 out of 3

There are many different methods to solve this geometrical problem - how many can you find?