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?
Fibs
problem

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?
Fair Shares?
problem

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

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

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

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

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

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?
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?