Linear equations

There are 17 NRICH Mathematical resources connected to Linear equations
Fractions of Fractions
problem

Fractions of fractions

Age
14 to 16
Challenge level
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If you know that a fraction of X is the same as a different fraction of Y, can you work out X/Y?
Big Fish
problem

Big fish

Age
14 to 16
Challenge level
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Granny has taken up deep-sea fishing! Last week, she caught a fish so big that she had to cut it into three pieces in order to weigh it...
Months and Years
problem

Months and years

Age
14 to 16
Challenge level
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The product of Mary's age at her last birthday and her age in complete months is 1800. How old is Mary?
Burning down
problem

Burning down

Age
14 to 16
Challenge level
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One night two candles were lit. Can you work out how long each candle was originally?
A Problem of time
problem

A problem of time

Age
14 to 16
Challenge level
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Consider a watch face which has identical hands and identical marks for the hours. It is opposite to a mirror. When is the time as read direct and in the mirror exactly the same between 6 and 7?
Tweedle dum and Tweedle Dee
problem

Tweedle dum and tweedle dee

Age
11 to 14
Challenge level
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Two brothers were left some money, amounting to an exact number of pounds, to divide between them. DEE undertook the division. "But your heap is larger than mine!" cried DUM...