There are 174 NRICH Mathematical resources connected to Multiplication & division, you may find related items under Calculations and Numerical Methods.
Broad Topics > Calculations and Numerical Methods > Multiplication & division
Compare the Calculations
Age 7 to 11
Challenge Level
Can you put these four calculations into order of difficulty? How did you decide?
Picture Your Method
Age 7 to 11
Challenge Level
Can you match these calculation methods to their visual representations?
Birthday Sharing
Age 5 to 7
Challenge Level
It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?
Can You Make 100?
Age 11 to 14
Challenge Level
How many ways can you find to put in operation signs (+ - x ÷) to make 100?
Six Numbered Cubes
Age 7 to 11
Challenge Level
This task combines spatial awareness with addition and multiplication.
Six Ten Total
Age 7 to 11
Challenge Level
This challenge combines addition, multiplication, perseverance and even proof.
Square Subtraction
Age 7 to 11
Challenge Level
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?
Odd Times Even
Age 5 to 7
Challenge Level
This problem looks at how one example of your choice can show something about the general structure of multiplication.
Jumping
Age 7 to 11
Challenge Level
After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?
Going Round in Circles
Age 11 to 14
Challenge Level
Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?
Countdown Fractions
Age 11 to 16
Challenge Level
Here is a chance to play a fractions version of the classic Countdown Game.
Countdown
Age 7 to 14
Challenge Level
Here is a chance to play a version of the classic Countdown Game.
The Remainders Game
Age 7 to 14
Challenge Level
Play this game and see if you can figure out the computer's chosen number.
Oh! Harry!
Age 7 to 11
Challenge Level
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
How Much Did it Cost?
Age 7 to 11
Challenge Level
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
Tug Harder!
Age 7 to 11
Challenge Level
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?
Secret Number
Age 5 to 7
Challenge Level
Annie and Ben are playing a game with a calculator. What was Annie's secret number?
Route Product
Age 7 to 11
Challenge Level
Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?
Round and Round and Round
Age 11 to 14
Challenge Level
Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?
Method in Multiplying Madness?
Age 7 to 14
Challenge Level
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
Integrated Product Sudoku
Age 11 to 16
Challenge Level
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.
Making Longer, Making Shorter
Age 5 to 7
Challenge Level
Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?
More Magic Potting Sheds
Age 11 to 14
Challenge Level
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?
Magic Potting Sheds
Age 11 to 14
Challenge Level
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?
Product Sudoku
Age 11 to 16
Challenge Level
The clues for this Sudoku are the product of the numbers in adjacent squares.
Little Man
Age 5 to 7
Challenge Level
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?
Fair Feast
Age 5 to 11
Challenge Level
Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
A Mixed-up Clock
Age 7 to 11
Challenge Level
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?
The Deca Tree
Age 7 to 11
Challenge Level
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.
The Brown Family
Age 5 to 7
Challenge Level
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Largest Product
Age 11 to 14
Challenge Level
Which set of numbers that add to 10 have the largest product?
Remainders
Age 7 to 14
Challenge Level
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
Super Shapes
Age 7 to 11 Short
Challenge Level
The value of the circle changes in each of the following problems. Can you discover its value in each problem?
Twenty Divided Into Six
Age 7 to 11
Challenge Level
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?
Amy's Dominoes
Age 7 to 11
Challenge Level
Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?
Forgot the Numbers
Age 7 to 11
Challenge Level
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?
Watch the Clock
Age 7 to 11
Challenge Level
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?
Number Rules - OK
Age 14 to 16
Challenge Level
Can you produce convincing arguments that a selection of statements about numbers are true?
Funny Factorisation
Age 11 to 16
Challenge Level
Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?
Expenses
Age 14 to 16
Challenge Level
What is the largest number which, when divided into 1905, 2587, 3951, 7020 and 8725 in turn, leaves the same remainder each time?
Legs Eleven
Age 11 to 14
Challenge Level
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?
The Puzzling Sweet Shop
Age 5 to 11
Challenge Level
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?
Doplication
Age 7 to 11
Challenge Level
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?
Dicey Array
Age 5 to 11
Challenge Level
Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?
Interactive Balance
Age 5 to 11
Challenge Level
In this simulation of a balance, you can drag numbers and parts of number sentences on to the trays. Have a play!
Let's Get Flexible!
Age 5 to 11
In this article for primary teachers, Ems outlines how we can encourage learners to be flexible in their approach to calculation, and why this is crucial.
Charitable Pennies
Age 7 to 14
Challenge Level
Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
Surprising Split
Age 7 to 11
Challenge Level
Does this 'trick' for calculating multiples of 11 always work? Why or why not?
NRICH is part of the family of activities in the Millennium Mathematics Project.