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Ding dong bell
The reader is invited to investigate changes (or permutations) in the ringing of church bells, illustrated by braid diagrams showing the order in which the bells are rung.
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It's all about 64
7 to 11
Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.
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Calcunos
7 to 11
If we had 16 light bars which digital numbers could we make? How
will you know you've found them all?
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Diagonally square
7 to 11
Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?
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Over-booking
16 to 18
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?
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For richer for poorer
14 to 16
Charlie has moved between countries and the average income of both has increased. How can this be so?
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Guessing the graph
14 to 16
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
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Inky cube
7 to 14
This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
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Multiples grid
7 to 11
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
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Bracelets
7 to 11
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?