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There are **184** NRICH Mathematical resources connected to **Multiplication and division**, you may find related items under Calculations and numerical methods.

Problem
Primary curriculum
Secondary curriculum
### Gabriel's Problem

Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Same Answer

Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Six Numbered Cubes

This task combines spatial awareness with addition and multiplication.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Six Ten Total

This challenge combines addition, multiplication, perseverance and even proof.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Square Subtraction

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Odd Times Even

This problem looks at how one example of your choice can show something about the general structure of multiplication.

Age 5 to 7

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### So It's Times!

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Jumping

After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Missing Multipliers

What is the smallest number of answers you need to reveal in order to work out the missing headers?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Going Round in Circles

Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Countdown Fractions

Here is a chance to play a fractions version of the classic Countdown Game.

Age 11 to 16

Challenge Level

Game
Primary curriculum
Secondary curriculum
### Countdown

Here is a chance to play a version of the classic Countdown Game.

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Multiples Sudoku

Each clue in this Sudoku is the product of the two numbers in adjacent cells.

Age 11 to 14

Challenge Level

Game
Primary curriculum
Secondary curriculum
### The Remainders Game

Play this game and see if you can figure out the computer's chosen number.

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Oh! Harry!

A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### How Much Did it Cost?

Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Tug Harder!

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Secret Number

Annie and Ben are playing a game with a calculator. What was Annie's secret number?

Age 5 to 7

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Route Product

Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Round and Round and Round

Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 รท 360. How did this help?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Method in Multiplying Madness?

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Integrated Product Sudoku

This Sudoku puzzle can be solved with the help of small clue-numbers on the border lines between pairs of neighbouring squares of the grid.

Age 11 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Making Longer, Making Shorter

Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?

Age 5 to 7

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### More Magic Potting Sheds

The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?

Age 11 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Magic Potting Sheds

Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?

Age 11 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Product Sudoku

The clues for this Sudoku are the product of the numbers in adjacent squares.

Age 11 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Little Man

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

Age 5 to 7

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### An Easy Way to Multiply by 10?

Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Fair Feast

Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Peaches Today, Peaches Tomorrow...

A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### A Mixed-up Clock

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### The Deca Tree

Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### The Brown Family

Use the information about Sally and her brother to find out how many children there are in the Brown family.

Age 5 to 7

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Largest Product

Which set of numbers that add to 100 have the largest product?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Remainders

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Super Shapes

The value of the circle changes in each of the following problems. Can you discover its value in each problem?

Age 7 to 11

ShortChallenge Level

Problem
Primary curriculum
Secondary curriculum
### Twenty Divided Into Six

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Amy's Dominoes

Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Forgot the Numbers

On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Watch the Clock

During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Number Rules - OK

Can you produce convincing arguments that a selection of statements about numbers are true?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Funny Factorisation

Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

Age 11 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Expenses

What is the largest number which, when divided into 1905, 2587, 3951, 7020 and 8725 in turn, leaves the same remainder each time?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Legs Eleven

Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### The Puzzling Sweet Shop

There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Catrina's Cards

How would you find out how many football cards Catrina has collected?

Age 5 to 7

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Doplication

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

Age 7 to 11

Challenge Level