Throughout history, mathematicians have used tools and technology to help them to spot patterns, develop conjectures, and make generalisations. We hope your curiosity will be tickled by the interactivities in these tasks, and that by exploring with a computer or tablet, you will have a deeper mathematical understanding than you might otherwise have had.
problem
Two-digit targets
Age
5 to 7
Challenge level
You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?
problem
Colouring triangles
Age
5 to 7
Challenge level
Explore ways of colouring this set of triangles. Can you make symmetrical patterns?
problem
Three squares
Age
5 to 11
Challenge level
What is the greatest number of squares you can make by overlapping three squares?
problem
4 dom
Age
5 to 11
Challenge level
Use these four dominoes to make a square that has the same number of dots on each side.
problem
Transformations on a pegboard
Age
7 to 11
Challenge level
How would you move the bands on the pegboard to alter these shapes?
problem
Times tables shifts
Age
7 to 11
Challenge level
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
problem
Triangles all around
Age
7 to 11
Challenge level
Can you find all the different triangles on these peg boards, and find their angles?