1 out of 3
2 out of 3
Charlie has moved between countries and the average income of both has increased. How can this be so?
3 out of 3
The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 2% of flights are over-booked?
2 out of 3
By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?
3 out of 3
The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.
1 out of 3
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
2 out of 3
Investigate what happens if we create number patterns using some simple rules.
2 out of 3
This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
2 out of 3
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
2 out of 3
How could you put eight bean bags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?
