Multiplication and division

There are 238 NRICH Mathematical resources connected to Multiplication and division
Making Longer, Making Shorter
problem
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Making longer, making shorter

Age
5 to 7
Challenge level
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Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?

Oh! Harry!
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Oh! harry!

Age
7 to 11
Challenge level
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A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
Our Numbers
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Our numbers

Age
5 to 7
Challenge level
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These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

Orange Drink
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Orange drink

Age
7 to 11
Challenge level
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A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

Integrated Product Sudoku
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Integrated product sudoku

Age
11 to 16
Challenge level
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This Sudoku puzzle can be solved with the help of small clue-numbers on the border lines between pairs of neighbouring squares of the grid.
Shut the box
problem
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Shut the box

Age
5 to 7
Challenge level
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An old game with lots of arithmetic!

Follow the numbers
problem
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Follow the numbers

Age
7 to 11
Challenge level
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What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

Highest and Lowest
problem
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Highest and lowest

Age
7 to 11
Challenge level
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Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
All the Digits
problem
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All the digits

Age
7 to 11
Challenge level
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This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?
Round and round and round
problem
Favourite

Round and round and round

Age
11 to 14
Challenge level
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Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?