There are 145 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
This task combines spatial awareness with addition and multiplication.
This challenge combines addition, multiplication, perseverance and even proof.
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?
After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?
Choose a symbol to put into the number sentence.
Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?
Here is a chance to play a version of the classic Countdown Game.
Play this game and see if you can figure out the computer's chosen number.
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
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?
Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?
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?
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
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.
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?
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?
Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
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?
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.
Which set of numbers that add to 10 have the largest product?
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
The value of the circle changes in each of the following problems. Can you discover its value in each problem?
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 has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?
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?
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?
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?
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?
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?
Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
Does this 'trick' for calculating multiples of 11 always work? Why or why not?
Your vessel, the Starship Diophantus, has become damaged in deep space. Can you use your knowledge of times tables and some lightning reflexes to survive?
This task offers an opportunity to explore all sorts of number relationships, but particularly multiplication.
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
Can you find different ways of creating paths using these paving slabs?
Number problems at primary level that may require resilience.
Number problems at primary level that require careful consideration.
This article for primary teachers encourages exploration of two fundamental ideas, exchange and 'unitising', which will help children become more fluent when calculating.
In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division.
In this article for primary teachers, Lynne McClure outlines what is meant by fluency in the context of number and explains how our selection of NRICH tasks can help.
Alf describes how the Gattegno chart helped a class of 7-9 year olds gain an awareness of place value and of the inverse relationship between multiplication and division.
Four Go game for an adult and child. Will you be the first to have four numbers in a row on the number line?
In November, Liz was interviewed for an article on a parents' website about learning times tables. Read the article here.
Related resources supporting pupils' understanding of multiplication and division through playing with numbers.
Resources to support understanding of multiplication and division through playing with number.
More resources to support understanding multiplication and division through playing with numbers
How will you decide which way of flipping over and/or turning the grid will give you the highest total?
Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?