There are 133 results
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?
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?
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?
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?
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?
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.
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?
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?
Ducking and Dividing
Age 7 to 11
Challenge Level
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?
Tables Teaser
Age 5 to 7
Challenge Level
How will you work out which numbers have been used to create this multiplication square?
Looking at Lego
Age 7 to 11
Challenge Level
This task offers an opportunity to explore all sorts of number relationships, but particularly multiplication.
Bundles of Cubes
Age 7 to 11
Challenge Level
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
Making Pathways
Age 7 to 11
Challenge Level
Can you find different ways of creating paths using these paving slabs?
Being Resilient - Lower Primary Number
Age 5 to 7
Are you resilient enough to solve these number problems?
Being Resilient - Primary Number
Age 5 to 11
Challenge Level
Number problems at primary level that may require resilience.
Being Resourceful - Primary Number
Age 5 to 11
Challenge Level
Number problems at primary level that require careful consideration.
Place Value as a Building Block for Developing Fluency in the Calculation Process
Age 5 to 11
This article for primary teachers encourages exploration of two fundamental ideas, exchange and 'unitising', which will help children become more fluent when calculating.
Activities on the Gattegno Chart
Age 5 to 11
In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division.
Developing Number Fluency - What, Why and How
Age 5 to 11
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.
Journeys on the Gattegno Tens Chart
Age 5 to 11
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 for Two
Age 7 to 11
Challenge Level
Four Go game for an adult and child. Will you be the first to have four numbers in a row on the number line?
NRICH is part of the family of activities in the Millennium Mathematics Project.