Exploring and noticing

problem
Sort them out (1)

Age

5 to 7

Challenge level

Can you each work out the number on your card? What do you notice? How could you sort the cards?
problem
So it's 28

Age

5 to 7

Challenge level

Here is your chance to investigate the number 28 using shapes, cubes ... in fact anything at all.
problem
Which symbol?

Age

7 to 11

Challenge level

Choose a symbol to put into the number sentence.
problem
Shifting times tables

Age

11 to 14

Challenge level

Can you find a way to identify times tables after they have been shifted up or down?
problem
Going round in circles

Age

11 to 14

Challenge level

Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?
problem
How much can we spend?

Age

11 to 14

Challenge level

A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?
problem
Cyclic quadrilaterals

Age

11 to 16

Challenge level

Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
problem
Nice or nasty

Age

7 to 11

Challenge level

There are nasty versions of this dice game but we'll start with the nice ones...
problem
Strike it out

Age

5 to 11

Challenge level

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
problem
Vector walk

Age

14 to 18

Challenge level

Starting with two basic vector steps, which destinations can you reach on a vector walk?