Linear equations

There are 17 NRICH Mathematical resources connected to Linear equations
Temperature
problem

Temperature

Age
11 to 14
Challenge level
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Is there a temperature at which Celsius and Fahrenheit readings are the same?
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?
Your number was...
problem

Your number was...

Age
11 to 14
Challenge level
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Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?
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...
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?
How Many Miles To Go?
problem

How Many Miles To Go?

Age
11 to 14
Challenge level
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How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
Leonardo's Problem
problem

Leonardo's Problem

Age
14 to 18
Challenge level
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A, B & C own a half, a third and a sixth of a coin collection. Each grab some coins, return some, then share equally what they had put back, finishing with their own share. How rich are they?
Terminology
problem

Terminology

Age
14 to 16
Challenge level
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Given an equilateral triangle inside an isosceles triangle, can you find a relationship between the angles?
Good Work If You Can Get It
problem

Good Work If You Can Get It

Age
11 to 14
Challenge level
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A job needs three men but in fact six people do it. When it is finished they are all paid the same. How much was paid in total, and much does each man get if the money is shared as Fred suggests?
Letter Land
problem

Letter Land

Age
11 to 14
Challenge level
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If: A + C = A; F x D = F; B - G = G; A + H = E; B / H = G; E - G = F and A-H represent the numbers from 0 to 7 Find the values of A, B, C, D, E, F and H.