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Clocked

11 to 14

Is it possible to rearrange the numbers 1,2......12 around a clock face in such a way that every two numbers in adjacent positions differ by any of 3, 4 or 5 hours?

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Children at large

11 to 14

There are four children in a family, two girls, Kate and Sally, and two boys, Tom and Ben. How old are the children?

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More bridge building

16 to 18

Which parts of these framework bridges are in tension and which parts are in compression?

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Overarch 1

16 to 18

This short question asks if you can work out the most precarious way to balance four tiles.

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Train routes

5 to 7

This train line has two tracks which cross at different points. Can you find all the routes that end at Cheston?

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Sending a parcel

11 to 14

What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

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The twelve pointed star game

7 to 11

Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?

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Nutty mixture

7 to 11

Use the ratio of cashew nuts to peanuts to find out how many peanuts Rachel has. What would the ratio be if Rachel and Marianne mixed their bags?

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Next size up

7 to 11

The challenge for you is to make a string of six (or more!) graded cubes.

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Can you find... trigonometry edition

16 to 18

What graphs can you make by transforming sine, cosine and tangent graphs?

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Clocked

Children at large

More bridge building

Overarch 1

Train routes

Sending a parcel

The twelve pointed star game

Nutty mixture

Next size up

Can you find... trigonometry edition