Find a great variety of ways of asking questions which make 8.
Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do. . . .
Go through the maze, collecting and losing your money as you go.
Which route gives you the highest return? And the lowest?
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.
For this challenge, you'll need to play Got It! Can you explain the strategy for winning this game with any target?
Using the 8 dominoes make a square where each of the columns and rows adds up to 8
Who said that adding couldn't be fun?
Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.
This challenge extends the Plants investigation so now four or more children are involved.
What happens when you add three numbers together? Will your answer be odd or even? How do you know?
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.
Can you substitute numbers for the letters in these sums?
How can we help students make sense of addition and subtraction of negative numbers?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
Ben has five coins in his pocket. How much money might he have?
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?
Use your logical reasoning to work out how many cows and how many
sheep there are in each field.
We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?
There are nasty versions of this dice game but we'll start with the nice ones...
Vera is shopping at a market with these coins in her purse. Which
things could she give exactly the right amount for?
Find at least one way to put in some operation signs (+ - x ÷)
to make these digits come to 100.
This article for teachers suggests ideas for activities built around 10 and 2010.
Find the sum of all three-digit numbers each of whose digits is
Find out about Magic Squares in this article written for students. Why are they magic?!
Use the 'double-3 down' dominoes to make a square so that each side has eight dots.
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
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.
Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?
There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and
lollypops for 7p in the sweet shop. What could each of the children
buy with their money?
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?
Use these four dominoes to make a square that has the same number of dots on each side.
Are these statements always true, sometimes true or never true?
Here are the prices for 1st and 2nd class mail within the UK. You have an unlimited number of each of these stamps. Which stamps would you need to post a parcel weighing 825g?
In this game for two players, the aim is to make a row of four coins which total one dollar.
If each of these three shapes has a value, can you find the totals
of the combinations? Perhaps you can use the shapes to make the
I was looking at the number plate of a car parked outside. Using my special code S208VBJ adds to 65. Can you crack my code and use it to find out what both of these number plates add up to?
Using the statements, can you work out how many of each type of
rabbit there are in these pens?
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?
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
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?
Investigate the different distances of these car journeys and find
out how long they take.
In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Are these domino games fair? Can you explain why or why not?
Mrs Morgan, the class's teacher, pinned numbers onto the backs of
three children. Use the information to find out what the three
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 make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?