Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
How many trains can you make which are the same length as Matt's, using rods that are identical?
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
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?
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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?
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?
Can you find the chosen number from the grid using the clues?
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
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 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.
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.
If you have only four weights, where could you place them in order to balance this equaliser?
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
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?
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?
The discs for this game are kept in a flat square box with a square hole for each disc. Use the information to find out how many discs of each colour there are in the box.
"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 ...?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?
Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
Can you find just the right bubbles to hold your number?
When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?
Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Use the interactivity to sort these numbers into sets. Can you give each set a name?
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.
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?
Can you complete this jigsaw of the multiplication square?
Can you make square numbers by adding two prime numbers together?
How many different sets of numbers with at least four members can you find in the numbers in this box?
An environment which simulates working with Cuisenaire rods.
A game in which players take it in turns to choose a number. Can you block your opponent?
Follow the clues to find the mystery number.
Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65.
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?
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.
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?
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?
For this challenge, you'll need to play Got It! Can you explain the strategy for winning this game with any target?
Use the interactivity to create some steady rhythms. How could you create a rhythm which sounds the same forwards as it does backwards?
Can you place the numbers from 1 to 10 in the grid?
There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?
This article for teachers describes how number arrays can be a useful reprentation for many number concepts.