Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
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?
This activity focuses on rounding to the nearest 10.
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
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?
Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?
Find out what a "fault-free" rectangle is and try to make some of your own.
This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
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?
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 is about finding the difference between numbers which have the same tens digit.
Find the sum of all three-digit numbers each of whose digits is odd.
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
Nim-7 game for an adult and child. Who will be the one to take the last counter?
Got It game for an adult and child. How can you play so that you know you will always win?
This task follows on from Build it Up and takes the ideas into three dimensions!
Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.
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?
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?
In a Magic Square all the rows, columns and diagonals add to the 'Magic Constant'. How would you change the magic constant of this square?
Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Try adding together the dates of all the days in one week. Now multiply the first date by 7 and add 21. Can you explain what happens?
Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
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.
In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
While we were sorting some papers we found 3 strange sheets which seemed to come from small books but there were page numbers at the foot of each page. Did the pages come from the same book?
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?
Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?
What happens when you round these three-digit numbers to the nearest 100?
What happens when you round these numbers to the nearest whole number?
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
Put the numbers 1, 2, 3, 4, 5, 6 into the squares so that the numbers on each circle add up to the same amount. Can you find the rule for giving another set of six numbers?
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?
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
Find a route from the outside to the inside of this square, stepping on as many tiles as possible.
This challenge encourages you to explore dividing a three-digit number by a single-digit number.
Stop the Clock game for an adult and child. How can you make sure you always win this game?
Polygonal numbers are those that are arranged in shapes as they enlarge. Explore the polygonal numbers drawn here.
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?
An investigation that gives you the opportunity to make and justify predictions.
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.
Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?