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.
How many trains can you make which are the same length as Matt's,
using rods that are identical?
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?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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.
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?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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.
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Can you fill in this table square? The numbers 2 -12 were used to
generate it with just one number used twice.
Can you find the chosen number from the grid using the clues?
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.
The planet of Vuvv has seven moons. Can you work out how long it is
between each super-eclipse?
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?
A game that tests your understanding of remainders.
These red, yellow and blue spinners were each spun 45 times in
total. Can you work out which numbers are on each spinner?
Help share out the biscuits the children have made.
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
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?
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
Can you find just the right bubbles to hold your number?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Find the words hidden inside each of the circles by counting around
a certain number of spaces to find each letter in turn.
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 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?
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.
Can you complete this jigsaw of the multiplication square?
An environment which simulates working with Cuisenaire rods.
A game in which players take it in turns to choose a number. Can you block your opponent?
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?
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?
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.
Use this grid to shade the numbers in the way described. Which
numbers do you have left? Do you know what they are called?
Complete the magic square using the numbers 1 to 25 once each. Each
row, column and diagonal adds up to 65.
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
For this challenge, you'll need to play Got It! Can you explain the
strategy for winning this game with any target?
Can you place the numbers from 1 to 10 in the grid?
Work out Tom's number from the answers he gives his friend. He will
only answer 'yes' or 'no'.
This article for teachers describes how number arrays can be a
useful reprentation for many number concepts.
Pat counts her sweets in different groups and both times she has
some left over. How many sweets could she have had?
An investigation that gives you the opportunity to make and justify
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?
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?
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
Can you predict when you'll be clapping and when you'll be clicking
if you start this rhythm? How about when a friend begins a new
rhythm at the same time?
"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
Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?