Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically
Fives on the clock
problem
Favourite

Fives on the clock

Age
7 to 11
Challenge level
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On a digital clock showing 24-hour time, over a whole day, how many times does a 5 appear?
How Much Did it Cost?
problem
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How much did it cost?

Age
7 to 11
Challenge level
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Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.

Domino sets
problem
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Domino sets

Age
7 to 11
Challenge level
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How do you know if your set of dominoes is complete?

Dice in a Corner
problem
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Dice in a corner

Age
7 to 11
Challenge level
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How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

Fence it
problem
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Fence it

Age
11 to 14
Challenge level
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If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
Nutrition and Cycling
problem
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Nutrition and cycling

Age
14 to 16
Challenge level
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Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Take three numbers
problem
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Take three numbers

Age
7 to 11
Challenge level
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What happens when you add three numbers together? Will your answer be odd or even? How do you know?

Magic Letters
problem
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Magic letters

Age
11 to 14
Challenge level
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Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
The Games' Medals
problem
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The games' medals

Age
5 to 7
Challenge level
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Can you see who the gold medal winner is? What about the silver medal winner and the bronze medal winner?
Fifteen cards
problem
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Fifteen cards

Age
7 to 11
Challenge level
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Can you use the information to find out which cards I have used?