Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
This article for teachers describes how number arrays can be a
useful reprentation for many number concepts.
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.
What is the lowest number which always leaves a remainder of 1 when
divided by each of the numbers from 2 to 10?
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?
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?
Which pairs of cogs let the coloured tooth touch every tooth on the
other cog? Which pairs do not let this happen? Why?
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?
For this challenge, you'll need to play Got It! Can you explain the strategy for winning this game with any target?
Can you find any perfect numbers? Read this article to find out more...
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.
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?
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?
Find the words hidden inside each of the circles by counting around
a certain number of spaces to find each letter in turn.
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
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?
Help share out the biscuits the children have made.
A game that tests your understanding of remainders.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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?
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 can you use just one weighing to find out which box contains
the lighter ten coins out of the ten boxes?
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?
Pat counts her sweets in different groups and both times she has
some left over. How many sweets could she have had?
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
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?
Can you place the numbers from 1 to 10 in the grid?
What happens if you join every second point on this circle? How
about every third point? Try with different steps and see if you
can predict what will happen.
Can you find the chosen number from the grid using the clues?
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?
Can you work out what a ziffle is on the planet Zargon?
Use this grid to shade the numbers in the way described. Which
numbers do you have left? Do you know what they are called?
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?
"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 ...?
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
Can you work out some different ways to balance this equation?
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?
Got It game for an adult and child. How can you play so that you know you will always win?
Work out Tom's number from the answers he gives his friend. He will
only answer 'yes' or 'no'.
48 is called an abundant number because it is less than the sum of
its factors (without itself). Can you find some more abundant
I am thinking of three sets of numbers less than 101. Can you find
all the numbers in each set from these clues?
Follow the clues to find the mystery number.
Have a go at balancing this equation. Can you find different ways of doing it?
This activity focuses on doubling multiples of five.
Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
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?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?