Shut the Box game for an adult and child. Can you turn over the cards which match the numbers on the dice?
An old game but lots of arithmetic!
Can you each work out the number on your card? What do you notice? How could you sort the cards?
Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?
Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?
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?
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?
There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.
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?
Using the statements, can you work out how many of each type of rabbit there are in these pens?
The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?
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.
How will you work out which numbers have been used to create this multiplication square?
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?
Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?
This magic square has operations written in it, to make it into a maze. Start wherever you like, go through every cell and go out a total of 15!
Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?
Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?
How many starfish could there be on the beach, and how many children, if I can see 28 arms?
Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?
This article for teachers describes how modelling number properties involving multiplication using an array of objects not only allows children to represent their thinking with concrete materials,. . . .
In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
How would you find out how many football cards Catrina has collected?
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
Are you resilient enough to solve these number problems?
Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?
If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?
A number game requiring a strategy.
Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?
Number problems at primary level that require careful consideration.
A game for 2 or more players with a pack of cards. Practise your skills of addition, subtraction, multiplication and division to hit the target score.
Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?
Number problems at primary level that may require resilience.
This number has 903 digits. What is the sum of all 903 digits?
Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
Use your logical reasoning to work out how many cows and how many sheep there are in each field.
In this investigation, you are challenged to make mobile phone numbers which are easy to remember. What happens if you make a sequence adding 2 each time?
Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?
If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?
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?
Find the next number in this pattern: 3, 7, 19, 55 ...
Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?
Resources to support understanding of multiplication and division through playing with number.
In this simulation of a balance, you can drag numbers and parts of number sentences on to the trays. Have a play!
Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
This task combines spatial awareness with addition and multiplication.
Four Go game for an adult and child. Will you be the first to have four numbers in a row on the number line?