Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# What If ... ? - Upper Primary

### Board Block for Two

### Money Bags

### Transformations on a Pegboard

### Exploring Wild & Wonderful Number Patterns

### Magic Vs

### Follow the Numbers

### Roll These Dice

### This Pied Piper of Hamelin

### Board Block Challenge

### Consecutive Numbers

### Got It

Or search by topic

Here are some exciting activities for you - have a go at them and then see what happens if you change one of the little questions. You may be able to change it more than just once!

Age 5 to 7

Challenge Level

Board Block game for two. Can you stop your partner from being able to make a shape on the board?

Age 5 to 11

Challenge Level

Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?

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

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

Age 7 to 11

Challenge Level

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Age 7 to 11

Challenge Level

What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

Age 7 to 11

Challenge Level

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

Age 7 to 11

Challenge Level

Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

Age 7 to 11

Challenge Level

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

Age 7 to 14

Challenge Level

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Age 7 to 14

Challenge Level

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.