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The Tower of Hanoi - three wooden poles, with several coloured rings of decreasing sizes on the middle pole.
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Tower of Hanoi

11 to 14

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

Fitted
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Fitted

7 to 11

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

Engaging Mathematics for all Learners
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Engaging Mathematics for All Learners

A project, funded by the QCA, in which NRICH collaborated with schools wishing to integrate NRICH tasks into their everyday classroom practice. The case studies of our work with the schools informed the QCA publication 'Mathematics for all learners'.

More Total Totality
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More Total Totality

11 to 14

Is it possible to arrange the numbers 1-6 on the nodes of this diagram, so that all the sums between numbers on adjacent nodes are different?

Power match
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Power Match

16 to 18

Can you locate these values on this interactive logarithmic scale?

Small tomato seedlings in pink pots.
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Obviously?

14 to 18

Find the values of n for which 1^n + 8^n - 3^n - 6^n is divisible by 6.

Two Dots
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Two Dots

7 to 11

Place eight dots on this diagram, so that there are only two dots on each straight line and only two dots on each circle.

Moving Squares
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Moving Squares

14 to 16
How can you represent the curvature of a cylinder on a flat piece of paper?
Aim high
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Aim High

16 to 18

How do you choose your planting levels to minimise the total loss at harvest time?

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