Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
Find your way through the grid starting at 2 and following these operations. What number do you end on?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
In this game for two players, the aim is to make a row of four coins which total one dollar.
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.
This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes. . . .
What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.
Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
Here is a chance to play a version of the classic Countdown Game.
Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?
Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
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!
Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?
How many starfish could there be on the beach, and how many children, if I can see 28 arms?
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
Can you each work out the number on your card? What do you notice? How could you sort the cards?
On Planet Plex, there are only 6 hours in the day. Can you answer these questions about how Arog the Alien spends his day?
Woof is a big dog. Yap is a little dog. Emma has 16 dog biscuits to give to the two dogs. She gave Woof 4 more biscuits than Yap. How many biscuits did each dog get?
This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.
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.
This challenge extends the Plants investigation so now four or more children are involved.
What do you notice about these squares of numbers? What is the same? What is different?
Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the box).
Sam got into an elevator. He went down five floors, up six floors, down seven floors, then got out on the second floor. On what floor did he get on?
Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?
Order these four calculations from easiest to hardest. How did you decide?
Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?
How could you put eight beanbags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?
This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.
Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?
Start with four numbers at the corners of a square and put the total of two corners in the middle of that side. Keep going... Can you estimate what the size of the last four numbers will be?
Can you spot the mistake in this video? How would you work out the answer to this calculation?
Number problems for you to work on with others.
The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?
Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?
Using the statements, can you work out how many of each type of rabbit there are in these pens?
There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?
In this section from a calendar, put a square box around the 1st, 2nd, 8th and 9th. Add all the pairs of numbers. What do you notice about the answers?
Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?
Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
This article for primary teachers encourages exploration of two fundamental ideas, exchange and 'unitising', which will help children become more fluent when calculating.
The picture shows a lighthouse and many underwater creatures. If you know the markings on the lighthouse are 1m apart, can you work out the distances between some of the different creatures?
Can you arrange fifteen dominoes so that all the touching domino pieces add to 6 and the ends join up? Can you make all the joins add to 7?
This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?