Katie and Will have some balloons. Will's balloon burst at exactly
the same size as Katie's at the beginning of a puff. How many puffs
had Will done before his balloon burst?
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.
Number problems at primary level that may require determination.
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?
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?
An investigation that gives you the opportunity to make and justify
Can you find any perfect numbers? Read this article to find out more...
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.
Can you place the numbers from 1 to 10 in the grid?
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?
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?
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?
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?
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?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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?
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?
Pat counts her sweets in different groups and both times she has
some left over. How many sweets could she have had?
This article for teachers describes how number arrays can be a
useful reprentation for many number concepts.
There are a number of coins on a table.
One quarter of the coins show heads.
If I turn over 2 coins, then one third show heads. How many coins are there altogether?
Help share out the biscuits the children have made.
For this challenge, you'll need to play Got It! Can you explain the strategy for winning this game with any target?
This activity focuses on doubling multiples of five.
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?
An environment which simulates working with Cuisenaire rods.
Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
Got It game for an adult and child. How can you play so that you know you will always win?
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
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?
Are these statements always true, sometimes true or never true?
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.
Are these domino games fair? Can you explain why or why not?
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 can you use just one weighing to find out which box contains
the lighter ten coins out of the ten boxes?
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Factors and Multiples game for an adult and child. How can you make sure you win this game?
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
Have a go at balancing this equation. Can you find different ways of doing it?
Can you work out some different ways to balance this equation?
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?
Number problems at primary level to work on with others.
Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
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?
I am thinking of three sets of numbers less than 101. Can you find
all the numbers in each set from these clues?
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?
Which pairs of cogs let the coloured tooth touch every tooth on the
other cog? Which pairs do not let this happen? Why?