Linear equations

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

Temperature

Age
11 to 14
Challenge level
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Is there a temperature at which Celsius and Fahrenheit readings are the same?
Fair Shares?
problem
Favourite

Fair shares?

Age
14 to 16
Challenge level
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A mother wants to share a sum of money by giving each of her children in turn a lump sum plus a fraction of the remainder. How can she do this in order to share the money out equally?
Letter Land
problem
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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.
Terminology
problem
Favourite

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?
Leonardo's Problem
problem
Favourite

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?
How Many Miles To Go?
problem
Favourite

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?
Your number was...
problem
Favourite

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?
Fibs
problem
Favourite

Fibs

Age
11 to 14
Challenge level
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The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21.... How many Fibonacci sequences can you find containing the number 196 as one of the terms?
Seven Up
problem

Seven up

Age
11 to 14
Challenge level
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The number 27 is special because it is three times the sum of its digits 27 = 3 (2 + 7). Find some two digit numbers that are SEVEN times the sum of their digits (seven-up numbers)?
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?