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?
How many different sets of numbers with at least four members can you find in the numbers in this box?
Can you find the chosen number from the grid using the clues?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
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.
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!
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
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?
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.
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?
Can you complete this jigsaw of the multiplication square?
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?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Are these domino games fair? Can you explain why or why not?
Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?
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?
If you have only four weights, where could you place them in order to balance this equaliser?
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.
What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
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?
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?
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?
Ben’s class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?
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?
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
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 work out how to balance this equaliser? You can put more than one weight on a hook.
Got It game for an adult and child. How can you play so that you know you will always win?
Can you work out what a ziffle is on the planet Zargon?
An environment which simulates working with Cuisenaire rods.
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?
56 406 is the product of two consecutive numbers. What are these two numbers?
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
This activity focuses on doubling multiples of five.
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?
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?
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.
"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 ...?
Use the interactivity to sort these numbers into sets. Can you give each set a name?
Have a go at balancing this equation. Can you find different ways of doing it?
Number problems at primary level to work on with others.
Use the interactivity to create some steady rhythms. How could you create a rhythm which sounds the same forwards as it does backwards?
In this problem we are looking at sets of parallel sticks that cross each other. What is the least number of crossings you can make? And the greatest?
Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?