# Interactivities to Make You Inquisitive

### Interactivities to Make You Inquisitive

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.

##### Age 5 to 7 Challenge Level:

You have a set of the digits from 0 – 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

##### Age 5 to 7 Challenge Level:

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

##### Age 5 to 11 Challenge Level:

What is the greatest number of squares you can make by overlapping three squares?

##### Age 5 to 16 Challenge Level:

Use these four dominoes to make a square that has the same number of dots on each side.

##### 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?

##### Age 7 to 11 Challenge Level:

How would you move the bands on the pegboard to alter these shapes?

##### Age 7 to 11 Challenge Level:

Can you find all the different triangles on these peg boards, and find their angles?