Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Help share out the biscuits the children have made.
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?
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?
Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?
56 406 is the product of two consecutive numbers. What are these two numbers?
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.
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
This package will help introduce children to, and encourage a deep exploration of, multiples.
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?
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?
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?
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 words hidden inside each of the circles by counting around a certain number of spaces to find each letter in turn.
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?
Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?
Can you place the numbers from 1 to 10 in the grid?
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 cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
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?
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
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?
I am thinking of three sets of numbers less than 101. Can you find all the numbers in each set from these clues?
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?
Are these domino games fair? Can you explain why or why not?
In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?
These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?
This article for teachers describes how number arrays can be a useful reprentation for many number concepts.
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
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.
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?
How can you use just one weighing to find out which box contains the lighter ten coins out of the ten boxes?
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?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
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?
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?
How many different sets of numbers with at least four members can you find in the numbers in this box?
Can you work out what a ziffle is on the planet Zargon?
There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?
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.
"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?
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?
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.
Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many times do they flash together during a whole minute?
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
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?
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?
An investigation that gives you the opportunity to make and justify predictions.
Can you help the children in Mrs Trimmer's class make different shapes out of a loop of string?