Can you place the numbers from 1 to 10 in the grid?
Pat counts her sweets in different groups and both times she has
some left over. How many sweets could she have had?
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’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?
Help share out the biscuits the children have made.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Got It game for an adult and child. How can you play so that you know you will always win?
What is the lowest number which always leaves a remainder of 1 when
divided by each of the numbers from 2 to 10?
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?
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?
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?
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?
Can you find the chosen number from the grid using the clues?
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.
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.
This article for teachers describes how number arrays can be a
useful reprentation for many number concepts.
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 cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
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.
This activity focuses on doubling multiples of five.
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?
How many trains can you make which are the same length as Matt's, using rods that are identical?
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?
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?
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.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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?
There are ten children in Becky's group. Can you find a set of
numbers for each of them? Are there any other sets?
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
Use this grid to shade the numbers in the way described. Which
numbers do you have left? Do you know what they are called?
How many different sets of numbers with at least four members can
you find in the numbers in this box?
56 406 is the product of two consecutive numbers. What are these
Norrie sees two lights flash at the same time, then one of them
flashes every 4th second, and the other flashes every 5th second.
How many times do they flash together during a whole minute?
"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 players ...?
An environment which simulates working with Cuisenaire rods.
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
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?
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.
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.
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?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
How can you use just one weighing to find out which box contains
the lighter ten coins out of the ten boxes?
Work out Tom's number from the answers he gives his friend. He will
only answer 'yes' or 'no'.
These red, yellow and blue spinners were each spun 45 times in
total. Can you work out which numbers are on each spinner?
An investigation that gives you the opportunity to make and justify
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?