Conjecturing and generalising

problem
Different sizes

Age

5 to 11

Challenge level

A simple visual exploration into halving and doubling.
problem
Take three numbers

Age

7 to 11

Challenge level

What happens when you add three numbers together? Will your answer be odd or even? How do you know?
problem
Odd times even

Age

5 to 7

Challenge level

This problem looks at how one example of your choice can show something about the general structure of multiplication.
problem
Two numbers under the microscope

Age

5 to 7

Challenge level

This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
problem
Magic letters

Age

11 to 14

Challenge level

Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
problem
Speedy summations

Age

16 to 18

Challenge level

Watch the video to see how to add together an arithmetic sequence of numbers efficiently.
problem
What's happening?

Age

5 to 7

Challenge level

Shapes are added to other shapes. Can you see what is happening? What is the rule?
problem
Steps to the podium

Age

7 to 14

Challenge level

It starts quite simple but great opportunities for number discoveries and patterns!
problem
Method in multiplying madness?

Age

7 to 14

Challenge level

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
problem
Polygonals

Age

7 to 11

Challenge level

Polygonal numbers are those that are arranged in shapes as they enlarge. Explore the polygonal numbers drawn here.