"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
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?
How many different sets of numbers with at least four members can
you find in the numbers in this box?
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?
If you have only four weights, where could you place them in order
to balance this equaliser?
How many trains can you make which are the same length as Matt's,
using rods that are identical?
48 is called an abundant number because it is less than the sum of
its factors (without itself). Can you find some more abundant
The planet of Vuvv has seven moons. Can you work out how long it is
between each super-eclipse?
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!
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Find the words hidden inside each of the circles by counting around
a certain number of spaces to find each letter in turn.
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?
Help share out the biscuits the children have made.
When Charlie asked his grandmother how old she is, he didn't get a
straightforward reply! Can you work out how old she is?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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?
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?
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?
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.
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?
What is the lowest number which always leaves a remainder of 1 when
divided by each of the numbers from 2 to 10?
Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
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?
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.
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Can you find just the right bubbles to hold your number?
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?
Are these domino games fair? Can you explain why or why not?
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?
These red, yellow and blue spinners were each spun 45 times in
total. Can you work out which numbers are on each spinner?
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
Can you place the numbers from 1 to 10 in the grid?
I am thinking of three sets of numbers less than 101. Can you find
all the numbers in each set from these clues?
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 investigation that gives you the opportunity to make and justify
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?
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?
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?
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 jigsaw of the multiplication square?
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?
This package will help introduce children to, and encourage a deep
exploration of, multiples.