Can you fill in this table square? The numbers 2 -12 were used to
generate it with just one number used twice.
The planet of Vuvv has seven moons. Can you work out how long it is
between each super-eclipse?
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?
How many different sets of numbers with at least four members can
you find in the numbers in this box?
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?
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?
Pat counts her sweets in different groups and both times she has
some left over. How many sweets could she have had?
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?
How many trains can you make which are the same length as Matt's,
using rods that are identical?
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?
Are these domino games fair? Can you explain why or why not?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Can you find the chosen number from the grid using the clues?
Can you complete this jigsaw of the multiplication square?
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?
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?
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.
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!
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 and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
48 is called an abundant number because it is less than the sum of
its factors (without itself). Can you find some more abundant
If you have only four weights, where could you place them in order
to balance this equaliser?
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?
"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
When Charlie asked his grandmother how old she is, he didn't get a
straightforward reply! Can you work out how old she is?
On a farm there were some hens and sheep. Altogether there were 8
heads and 22 feet. How many hens were there?
Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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 activity focuses on doubling multiples of five.
Use this grid to shade the numbers in the way described. Which
numbers do you have left? Do you know what they are called?
There are ten children in Becky's group. Can you find a set of
numbers for each of them? Are there any other sets?
An environment which simulates working with Cuisenaire rods.
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 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.
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?
Can you work out some different ways to balance this equation?
Have a go at balancing this equation. Can you find different ways of doing it?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
An investigation that gives you the opportunity to make and justify
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.
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Help share out the biscuits the children have made.
This article for teachers describes how number arrays can be a
useful reprentation for many number concepts.