Place value

There are 140 NRICH Mathematical resources connected to Place value
Subtraction Surprise
problem
Favourite

Subtraction surprise

Age
7 to 14
Challenge level
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Try out some calculations. Are you surprised by the results?
Skeleton
problem

Skeleton

Age
11 to 14
Challenge level
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Amazing as it may seem the three fives remaining in the following `skeleton' are sufficient to reconstruct the entire long division sum.

Napier's Bones
problem

Napier's bones

Age
7 to 11
Challenge level
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The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?
Football Sum
problem

Football sum

Age
11 to 14
Challenge level
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Find the values of the nine letters in the sum: FOOT + BALL = GAME
Nice or Nasty for Two
game

Nice or nasty for two

Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
Novemberish
problem

Novemberish

Age
14 to 16
Challenge level
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a) A four digit number (in base 10) aabb is a perfect square. Discuss ways of systematically finding this number. (b) Prove that 11^{10}-1 is divisible by 100.
Never Prime
problem

Never prime

Age
14 to 16
Challenge level
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If a two digit number has its digits reversed and the smaller of the two numbers is subtracted from the larger, prove the difference can never be prime.
Read This Page
problem

Read this page

Age
11 to 14
Challenge level
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Replace the letters with numbers to make the addition work out correctly. R E A D + T H I S = P A G E