Working systematically

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Favourite

Two and Two

Age

7 to 16

Challenge level

3 out of 3

How many solutions can you find to this sum? Each of the different letters stands for a different number.
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Favourite

An Equilateral Triangular Problem

Age

11 to 14

Challenge level

1 out of 3

Take an equilateral triangle and cut it into smaller pieces. What can you do with them?
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Favourite

Almost One

Age

11 to 14

Challenge level

1 out of 3

Choose some fractions and add them together. Can you get close to 1?
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Favourite

Pocket Money

Age

11 to 14

Challenge level

1 out of 3

Which of these pocket money systems would you rather have?
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Favourite

Days and Dates

Age

11 to 14

Challenge level

1 out of 3

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
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Favourite

American Billions

Age

11 to 14

Challenge level

1 out of 3

Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...
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Favourite

Cinema Problem

Age

11 to 14

Challenge level

1 out of 3

A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
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Favourite

Shady Symmetry

Age

11 to 14

Challenge level

1 out of 3

How many different symmetrical shapes can you make by shading triangles or squares?
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Favourite

Tilted Squares

Age

11 to 14

Challenge level

1 out of 3

It's easy to work out the areas of most squares that we meet, but what if they were tilted?
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Favourite

Consecutive Seven

Age

11 to 14

Challenge level

1 out of 3

Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?