This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.
Scroll down to see the complete collection, or explore our subcollections on Perimeter and Area in two dimensions, and Surface Area and Volume in three dimensions.
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Missing multipliers
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The remainders game
Play this game and see if you can figure out the computer's chosen number.
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Consecutive numbers
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
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More Dicey operations
In these multiplication and division games, you'll need to think strategically to get closest to the target.
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Remainders
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
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Method in multiplying madness?
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Two and two
How many solutions can you find to this sum? Each of the different letters stands for a different number.
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Number daisy
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Cinema problem
A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
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Consecutive seven
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Round and round and round
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Countdown fractions
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Going round in circles
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Magic letters
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Strange bank account
Imagine a very strange bank account where you are only allowed to do two things...
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Up, down, flying around
Play this game to learn about adding and subtracting positive and negative numbers
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Can you make 100?
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Egyptian fractions
The Egyptians expressed all fractions as the sum of different unit fractions. Here is a chance to explore how they could have written different fractions.
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Twisting and turning
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More twisting and turning
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Connect three
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
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Weights
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Same answer
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Where can we visit?
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Consecutive negative numbers
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The greedy algorithm
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Slick summing
Watch the video to see how Charlie works out the sum. Can you adapt his method?
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You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.