Stop the Clock game for an adult and child. How can you make sure you always win this game?
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 is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Got It game for an adult and child. How can you play so that you know you will always win?
Find a route from the outside to the inside of this square, stepping on as many tiles as possible.
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
An investigation that gives you the opportunity to make and justify predictions.
This challenge is about finding the difference between numbers which have the same tens digit.
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
Here are two kinds of spirals for you to explore. What do you notice?
Find out what a "fault-free" rectangle is and try to make some of your own.
This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?
Nim-7 game for an adult and child. Who will be the one to take the last counter?
Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?
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.
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
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?
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
Watch this video to see how to roll the dice. Now it's your turn! What do you notice about the dice numbers you have recorded?
This challenge asks you to imagine a snake coiling on itself.
Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
This task follows on from Build it Up and takes the ideas into three dimensions!
Are these statements relating to odd and even numbers always true, sometimes true or never true?
This task encourages you to investigate the number of edging pieces and panes in different sized windows.
Can you work out how to win this game of Nim? Does it matter if you go first or second?
Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?
Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?
Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.
Watch this animation. What do you see? Can you explain why this happens?
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
This challenge encourages you to explore dividing a three-digit number by a single-digit number.
Watch the video of Fran re-ordering these number cards. What do you notice? Try it for yourself. What happens?
What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.
This activity involves rounding four-digit numbers to the nearest thousand.
How many different journeys could you make if you were going to visit four stations in this network? How about if there were five stations? Can you predict the number of journeys for seven stations?
This activity focuses on rounding to the nearest 10.
What happens when you round these three-digit numbers to the nearest 100?
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?