Multiplication and division

There are 238 NRICH Mathematical resources connected to Multiplication and division
How Old?
problem

How old?

Age
7 to 11
Challenge level
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Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?
Book Codes
problem

Book codes

Age
7 to 11
Challenge level
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Look on the back of any modern book and you will find an ISBN code. Take this code and calculate this sum in the way shown. Can you see what the answers always have in common?
Tom's Number
problem

Tom's number

Age
7 to 11
Challenge level
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Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
Clock Face
problem

Clock face

Age
7 to 11
Challenge level
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Where can you draw a line on a clock face so that the numbers on both sides have the same total?
Interstellar
problem

Interstellar

Age
11 to 14
Challenge level
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What number could replace * so that */5 is between 3 and 4?
Bus Route
problem

Bus route

Age
11 to 14
Challenge level
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How far apart are the first and last bus stops in this bus route?
Adjacent Factors
problem

Adjacent factors

Age
11 to 14
Challenge level
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Two numbers can be placed adjacent if one of them divides the other. Using only $1,...,10$, can you write the longest such list?
Ones Only
problem

Ones only

Age
11 to 14
Challenge level
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Find the smallest whole number which, when mutiplied by 7, gives a product consisting entirely of ones.
Why 8?
problem

Why 8?

Age
11 to 14
Challenge level
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Choose any four consecutive even numbers. Multiply the two middle numbers together. Multiply the first and last numbers. Now subtract your second answer from the first. Try it with your own numbers. Why is the answer always 8?
Calendar Calculations
problem

Calendar calculations

Age
7 to 11
Challenge level
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Try adding together the dates of all the days in one week. Now multiply the first date by 7 and add 21. Can you explain what happens?