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. . . .
For this challenge, you'll need to play Got It! Can you explain the strategy for winning this game with any target?
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.
This article for teachers suggests ideas for activities built around 10 and 2010.
There are nasty versions of this dice game but we'll start with the nice ones...
Who said that adding couldn't be fun?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Find out about Magic Squares in this article written for students. Why are they magic?!
This challenge extends the Plants investigation so now four or more children are involved.
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.
How can we help students make sense of addition and subtraction of negative numbers?
Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.
Use your logical reasoning to work out how many cows and how many
sheep there are in each field.
Find the sum of all three-digit numbers each of whose digits is
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?
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
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?
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?
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.
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?
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
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?
Ben has five coins in his pocket. How much money might he have?
Find at least one way to put in some operation signs (+ - x ÷)
to make these digits come to 100.
Can you substitute numbers for the letters in these sums?
Vera is shopping at a market with these coins in her purse. Which
things could she give exactly the right amount for?
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?
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
In this game for two players, the aim is to make a row of four coins which total one dollar.
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.
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
Use the 'double-3 down' dominoes to make a square so that each side has eight dots.
Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?
What happens when you add three numbers together? Will your answer be odd or even? How do you know?
Are these statements always true, sometimes true or never true?
Use these four dominoes to make a square that has the same number of dots on each side.
Start by putting one million (1 000 000) into the display of your
calculator. Can you reduce this to 7 using just the 7 key and add,
subtract, multiply, divide and equals as many times as you like?
In sheep talk the only letters used are B and A. A sequence of
words is formed by following certain rules. What do you notice when
you count the letters in each word?
These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?
Twizzle, a female giraffe, needs transporting to another zoo. Which
route will give the fastest journey?
Use these head, body and leg pieces to make Robot Monsters which are different heights.
As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
Zumf makes spectacles for the residents of the planet Zargon, who
have either 3 eyes or 4 eyes. How many lenses will Zumf need to
make all the different orders for 9 families?
Arrange eight of the numbers between 1 and 9 in the Polo Square
below so that each side adds to the same total.
If the numbers 5, 7 and 4 go into this function machine, what
numbers will come out?
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?
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?