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Now and then

7 to 11

Have a look at the results for some events at past Olympic Games. Can you use these to predict the results at the next Olympics?

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Pouring problem

7 to 11

What do you think is going to happen in this video clip? Are you surprised?

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Roman numerals

7 to 11

Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?

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Two dice

5 to 7

Find all the numbers that can be made by adding the dots on two dice.

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Dozens

7 to 14

Can you select the missing digit(s) to find the largest multiple?

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Those tea cups

7 to 11

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

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Clock arithmetic

11 to 18

What happens if we change the rules and make the usual straight number line into a circle?

article

An introduction to polar coordinates

14 to 18

This introduction to polar coordinates describes what is an effective way to specify position. This article explains how to convert between polar and cartesian coordinates and also encourages the creation of some attractive curves from some relatively easy equations.

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Making cuboids

7 to 11

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

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Iff

14 to 18

Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

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Now and then

Pouring problem

Roman numerals

Two dice

Dozens

Those tea cups

Clock arithmetic

An introduction to polar coordinates

Making cuboids

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