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Nurturing young mathematicians: teacher webinars

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There are **14** NRICH Mathematical resources connected to **Linear equations**, you may find related items under Algebraic expressions, equations and formulae.

Problem
Primary curriculum
Secondary curriculum
### Your Number Was...

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?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Temperature

Is there a temperature at which Celsius and Fahrenheit readings are the same?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### How Many Miles to Go?

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?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Leonardo's Problem

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?

Age 14 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Terminology

Given an equilateral triangle inside an isosceles triangle, can you find a relationship between the angles?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Letter Land

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.

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Fair Shares?

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?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Fibs

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?

Age 11 to 14

Challenge Level

Article
Primary curriculum
Secondary curriculum
### A Method of Defining Coefficients in the Equations of Chemical Reactions

A simple method of defining the coefficients in the equations of chemical reactions with the help of a system of linear algebraic equations.

Age 14 to 18

Problem
Primary curriculum
Secondary curriculum
### Good Work If You Can Get It

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?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Seven Up

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)?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Tweedle Dum and Tweedle Dee

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...

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### A Problem of Time

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?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Burning Down

One night two candles were lit. Can you work out how long each candle was originally?

Age 14 to 16

Challenge Level