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?
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?
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?
Can you place the numbers from 1 to 10 in the grid?
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?
This article for teachers describes how number arrays can be a
useful reprentation for many number concepts.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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?
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?
An environment which simulates working with Cuisenaire rods.
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?
This activity focuses on doubling multiples of five.
Help share out the biscuits the children have made.
Got It game for an adult and child. How can you play so that you know you will always win?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
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?
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.
A game for 2 or more people. Starting with 100, subratct a number from 1 to 9 from the total. You score for making an odd number, a number ending in 0 or a multiple of 6.
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?
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?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
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?
What is the lowest number which always leaves a remainder of 1 when
divided by each of the numbers from 2 to 10?
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?
This package will help introduce children to, and encourage a deep
exploration of, multiples.
Can you find any perfect numbers? Read this article to find out more...
Can you complete this jigsaw of the multiplication square?
How can you use just one weighing to find out which box contains
the lighter ten coins out of the ten boxes?
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?
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?
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?
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
Number problems at primary level that may require determination.
If you have only four weights, where could you place them in order
to balance this equaliser?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
These red, yellow and blue spinners were each spun 45 times in
total. Can you work out which numbers are on each spinner?
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?
I am thinking of three sets of numbers less than 101. Can you find
all the numbers in each set from these clues?
A game that tests your understanding of remainders.
Use the interactivities to complete these Venn diagrams.
An investigation that gives you the opportunity to make and justify
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.
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.
Can you work out what a ziffle is on the planet Zargon?
56 406 is the product of two consecutive numbers. What are these
Can you help the children in Mrs Trimmer's class make different
shapes out of a loop of string?
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?