Addition and subtraction

There are 338 NRICH Mathematical resources connected to Addition and subtraction
Diagonal Sums
problem

Diagonal Sums

Age
7 to 14
Challenge level
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In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?
Number Differences
problem

Number Differences

Age
7 to 11
Challenge level
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Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
Ring a Ring of Numbers
problem

Ring a Ring of Numbers

Age
5 to 7
Challenge level
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Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Function Machines
problem

Function Machines

Age
7 to 11
Challenge level
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If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?
Carrying Cards
problem

Carrying Cards

Age
7 to 11
Challenge level
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These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?
Cuisenaire Counting
problem

Cuisenaire Counting

Age
5 to 7
Challenge level
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Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
Sheep Talk
problem

Sheep Talk

Age
7 to 11
Challenge level
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In sheep talk the only letters used are B and A. A sequence of words is formed by following certain rules. What do you notice when you count the letters in each word?
Consecutive Seven
problem

Consecutive Seven

Age
11 to 14
Challenge level
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Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?
Twizzle's Journey
problem

Twizzle's Journey

Age
5 to 7
Challenge level
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Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?
One Million to Seven
problem

One Million to Seven

Age
7 to 11
Challenge level
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Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?