Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
This activity focuses on doubling multiples of five.
Can you complete this jigsaw of the multiplication square?
Can you see how these factor-multiple chains work? Find the chain
which contains the smallest possible numbers. How about the largest
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?
56 406 is the product of two consecutive numbers. What are these
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?
Use the interactivities to complete these Venn diagrams.
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
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?
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?
Use this grid to shade the numbers in the way described. Which
numbers do you have left? Do you know what they are called?
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?
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?
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.
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.
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!
Kimie and Sebastian were making sticks from interlocking cubes and
lining them up. Can they make their lines the same length? Can they
make any other lines?
This package will help introduce children to, and encourage a deep
exploration of, multiples.
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?
How many trains can you make which are the same length as Matt's,
using rods that are identical?
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?
If you have only four weights, where could you place them in order
to balance this equaliser?
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
Help share out the biscuits the children have made.
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 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?
How can you use just one weighing to find out which box contains
the lighter ten coins out of the ten boxes?
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?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
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?
This article for teachers describes how number arrays can be a
useful reprentation for many number concepts.
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.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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?
How many different sets of numbers with at least four members can
you find in the numbers in this box?
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?
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?
Follow the clues to find the mystery number.
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?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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?
Can you work out what a ziffle is on the planet Zargon?
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 fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.