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A green clock with yellow and white hands.

problem

Clock Hands

7 to 11

This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.

problem

Spots and Measles

11 to 16

99% of people who have measles have spots. Ben has spots. Do you think he has measles?

problem

Farey Fibonacci

16 to 18

Investigate Farey sequences of ratios of Fibonacci numbers.

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Just Opposite

14 to 16

A and C are the opposite vertices of a square ABCD, and have coordinates (a,b) and (c,d), respectively. What are the coordinates of the vertices B and D? What is the area of the square?

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Integral Arranging

16 to 18

How would you sort out these integrals?

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What Do Functions Do for Tiny X?

16 to 18

Looking at small values of functions. Motivating the existence of the Maclaurin expansion.

problem

Pouring the Punch Drink

7 to 11

There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2 litres. Find a way to pour 9 litres of drink from one jug to another until you are left with exactly 3 litres in three of the jugs.