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Measure our weights

5 to 7

This practical challenge focuses on what you would use to find out your weight.

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Primary live problems and recent solutions

problem

Tea cups

7 to 14

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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Liethagoras' theorem

7 to 14

Liethagoras, Pythagoras' cousin (!), was jealous of Pythagoras and came up with his own theorem. Read this article to find out why other mathematicians laughed at him.

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Endorsement

Find out where NRICH has been recommended.

problem

The sum of the numbers 4 and 1 [1/3] is the same as the product of 4 and 1 [1/3]; that is to say 4 + 1 [1/3] = 4 × 1 [1/3]. What other numbers have the sum equal to the product and can this be so for any whole numbers?

problem

Matter of scale

14 to 16

Can you prove Pythagoras' Theorem using enlargements and scale factors?

problem

Score

11 to 14

There are exactly 3 ways to add 4 odd numbers to get 10. Find all the ways of adding 8 odd numbers to get 20. To be sure of getting all the solutions you will need to be systematic. What about a total of 15 with 6 odd numbers?

problem

Cushion ball

16 to 18

The shortest path between any two points on a snooker table is the straight line between them but what if the ball must bounce off one wall, or 2 walls, or 3 walls?

problem

A shapely network

7 to 11

Your challenge is to find the longest way through the network following this rule. You can start and finish anywhere, and with any shape, as long as you follow the correct order.

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Measure our weights

Primary live problems and recent solutions

Tea cups

Liethagoras' theorem

Endorsement

Sum equals product

Matter of scale

Score

Cushion ball

A shapely network