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?
Your number was...
problem
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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
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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
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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?
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?