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On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
Can you find the chosen number from the grid using the clues?
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?
You can make a calculator count for you by any number you choose. You can count by ones to reach 24. You can count by twos to reach 24. What else can you count by to reach 24?
If there is a ring of six chairs and thirty children must either sit on a chair or stand behind one, how many children will be behind each chair?
56 406 is the product of two consecutive numbers. What are these two numbers?
This package will help introduce children to, and encourage a deep exploration of, multiples.
What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?
I throw three dice and get 5, 3 and 2. Add the scores on the three dice. What do you get? Now multiply the scores. What do you notice?
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?
Can you order the digits from 1-6 to make a number which is divisible by 6 so when the last digit is removed it becomes a 5-figure number divisible by 5, and so on?
Can you place the numbers from 1 to 10 in the grid?
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?
In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take?
Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?
Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?
Find the squares that Froggie skips onto to get to the pumpkin patch. She starts on 3 and finishes on 30, but she lands only on a square that has a number 3 more than the square she skips from.
Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Are these domino games fair? Can you explain why or why not?
Help share out the biscuits the children have made.
This article for teachers describes how number arrays can be a useful reprentation for many number concepts.
A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
Ben’s class were making cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.
How many different sets of numbers with at least four members can you find in the numbers in this box?
Can you make square numbers by adding two prime numbers together?
Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?
Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.
Look at the squares in this problem. What does the next square look like? I draw a square with 81 little squares inside it. How long and how wide is my square?
Can you work out what a ziffle is on the planet Zargon?
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?
How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?
48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?
There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?
When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?
How can you use just one weighing to find out which box contains the lighter ten coins out of the ten boxes?
Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65.
Becky created a number plumber which multiplies by 5 and subtracts 4. What do you notice about the numbers that it produces? Can you explain your findings?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
I am thinking of three sets of numbers less than 101. They are the red set, the green set and the blue set. Can you find all the numbers in the sets from these clues?
These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?
An investigation that gives you the opportunity to make and justify predictions.