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problem

Golden construction

16 to 18

Draw a square and an arc of a circle and construct the Golden rectangle. Find the value of the Golden Ratio.

problem

The pillar of Chios

14 to 16

Semicircles are drawn on the sides of a rectangle. Prove that the sum of the areas of the four crescents is equal to the area of the rectangle.

problem

Continuing to explore four consecutive numbers

14 to 16

problem

Favourite

What's happening?

5 to 7

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

problem

Red balloons, blue balloons

7 to 11

Katie and Will have some balloons. Will's balloon burst at exactly the same size as Katie's at the beginning of a puff. How many puffs had Will done before his balloon burst?

problem

Debt recovery

11 to 14

Tony and Tina can't work out which of them owes what to the other. Can you?

problem

Favourite

Take three numbers

7 to 11

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

problem

Dice and spinner numbers

7 to 11

If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?

problem

Favourite

Even and odd

5 to 7

This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

problem

How old?

7 to 11

Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?

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Golden construction

The pillar of Chios

Continuing to explore four consecutive numbers

What's happening?

Red balloons, blue balloons

Debt recovery

Take three numbers

Dice and spinner numbers

Even and odd

How old?