Arithmetic sequences

There are 49 NRICH Mathematical resources connected to Arithmetic sequences
100 Square Jigsaw
problem
Favourite

100 square jigsaw

Age
5 to 7
Challenge level
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Can you complete this jigsaw of the 100 square?
Prime AP
problem
Favourite

Prime ap

Age
16 to 18
Challenge level
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What can you say about the common difference of an AP where every term is prime?
Elevenses
problem
Favourite

Elevenses

Age
11 to 14
Challenge level
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How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
Pocket money
problem
Favourite

Pocket money

Age
11 to 14
Challenge level
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Which of these pocket money systems would you rather have?
Unravelling Sequences
problem

Unravelling sequences

Age
7 to 11
Challenge level
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Can you describe what is happening as this program runs? Can you unpick the steps in the process?
Maxagon
problem

Maxagon

Age
11 to 14
Challenge level
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What's the greatest number of sides a polygon on a dotty grid could have?
Speedy summations
problem

Speedy summations

Age
16 to 18
Challenge level
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Watch the video to see how to add together an arithmetic sequence of numbers efficiently.

Matchsticks
problem

Matchsticks

Age
7 to 11
Challenge level
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Reasoning about the number of matches needed to build squares that share their sides.
Red Balloons, Blue Balloons
problem

Red balloons, blue balloons

Age
7 to 11
Challenge level
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Katie and Will have some balloons. Will's balloon burst at exactly the same size as Katie's at the beginning of a puff. How many puffs had Will done before his balloon burst?