Visualising and representing

problem
Two spinners

Age

5 to 7

Challenge level

What two-digit numbers can you make with these two dice? What can't you make?
problem
Trisected triangle

Age

14 to 16

Challenge level

Weekly Problem 34 - 2015
Four tiles are given. For which of them can three be placed together to form an equilateral triangle?
problem
Eulerian

Age

14 to 16

Challenge level

Weekly Problem 37 - 2014
Which of the five diagrams below could be drawn without taking the pen off the page and without drawing along a line already drawn?
problem
Product and sum

Age

11 to 14

Challenge level

When Jim rolled some dice, the scores had the same product and sum. How many dice did Jim roll?
problem
Pyramidal n-gon

Age

14 to 16

Challenge level

The base of a pyramid has n edges. What is the difference between the number of edges the pyramid has and the number of faces the pyramid has?
problem
Reflected back

Age

11 to 14

Challenge level

Imagine reflecting the letter P in all three sides of a triangle in turn. What is the final result?
problem
In or out?

Age

14 to 16

Challenge level

Weekly Problem 52 - 2014
Four arcs are drawn in a circle to create a shaded area. What fraction of the area of the circle is shaded?
problem
Fifty coins

Age

11 to 14

Challenge level

Cheryl finds a bag of coins. Can you work out how many more 5p coins than 2p coins are in the bag?
problem
Relative time

Age

14 to 16

Challenge level

Albert Einstein is experimenting with two unusual clocks. At what time do they next agree?
problem
Painted octahedron

Age

11 to 14

Challenge level

What is the smallest number of colours needed to paint the faces of a regular octahedron so that no adjacent faces are the same colour?