In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.
This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?
This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.
Who said that adding couldn't be fun?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
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?
What could the half time scores have been in these Olympic hockey matches?
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
Can you use the information to find out which cards I have used?
Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?
This problem is designed to help children to learn, and to use, the two and three times tables.
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?
Use the 'double-3 down' dominoes to make a square so that each side has eight dots.
An activity centred around observations of dots and how we visualise number arrangement patterns.
Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?
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?
Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?
Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?
Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.
Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?
"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?
What happens when you add three numbers together? Will your answer be odd or even? How do you know?
Amy has a box containing domino pieces but she does not think it is a complete set. She has 24 dominoes in her box and there are 125 spots on them altogether. Which of her domino pieces are missing?
Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten numbers from the bags above so that their total is 37.
Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?
Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?
How could you arrange at least two dice in a stack so that the total of the visible spots is 18?
What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
The value of the circle changes in each of the following problems. Can you discover its value in each problem?
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.
Use these four dominoes to make a square that has the same number of dots on each side.
There are six numbers written in five different scripts. Can you sort out which is which?
This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.
Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?