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.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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 work out how to balance this equaliser? You can put more
than one weight on a hook.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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.
How many trains can you make which are the same length as Matt's, using rods that are identical?
If you have only four weights, where could you place them in order
to balance this equaliser?
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 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?
Got It game for an adult and child. How can you play so that you know you will always win?
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?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Are these domino games fair? Can you explain why or why not?
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 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?
Can you complete this jigsaw of the multiplication square?
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?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
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?
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?
What is the lowest number which always leaves a remainder of 1 when
divided by each of the numbers from 2 to 10?
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?
When Charlie asked his grandmother how old she is, he didn't get a
straightforward reply! Can you work out how old she is?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
This package will help introduce children to, and encourage a deep
exploration of, multiples.
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
Can you place the numbers from 1 to 10 in the grid?
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.
An environment which simulates working with Cuisenaire rods.
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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?
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?
Can you find just the right bubbles to hold your number?
Pat counts her sweets in different groups and both times she has
some left over. How many sweets could she have had?
Use this grid to shade the numbers in the way described. Which
numbers do you have left? Do you know what they are called?
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?
This activity focuses on doubling multiples of five.
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
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?
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?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
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?
Work out Tom's number from the answers he gives his friend. He will
only answer 'yes' or 'no'.
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
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.
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
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?