Describing patterns and sequences

There are 124 NRICH Mathematical resources connected to Describing patterns and sequences
Elevenses
problem
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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?
Carrying Cards
problem
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Carrying cards

Age
7 to 11
Challenge level
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These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?
Baravelle
problem
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Baravelle

Age
7 to 16
Challenge level
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What can you see? What do you notice? What questions can you ask?

Circles, Circles
problem
Favourite

Circles, circles

Age
5 to 11
Challenge level
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Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

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?
Counting Stick Conjectures
problem

Counting stick conjectures

Age
5 to 11
Challenge level
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How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?
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?
Magic Crosses
problem

Magic crosses

Age
7 to 14
Challenge level
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Can you find examples of magic crosses? Can you find all the possibilities?

Bundles of Cubes
problem

Bundles of cubes

Age
7 to 11
Challenge level
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Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
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?