Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Use the interactivities to complete these Venn diagrams.
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
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 just the right bubbles to hold your number?
A game in which players take it in turns to choose a number. Can you block your opponent?
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?
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.
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 which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
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?
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?
Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?
Can you complete this jigsaw of the multiplication square?
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?
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?
A game that tests your understanding of remainders.
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?
Each light in this interactivity turns on according to a rule. What
happens when you enter different numbers? Can you find the smallest
number that lights up all four lights?
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?
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?
The planet of Vuvv has seven moons. Can you work out how long it is
between each super-eclipse?
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.
If you count from 1 to 20 and clap more loudly on the numbers in
the two times table, as well as saying those numbers loudly, which
numbers will be loud?
Work out Tom's number from the answers he gives his friend. He will
only answer 'yes' or 'no'.
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.
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?
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 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 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.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
How can you use just one weighing to find out which box contains
the lighter ten coins out of the ten boxes?
Can you work out what a ziffle is on the planet Zargon?
Does a graph of the triangular numbers cross a graph of the six
times table? If so, where? Will a graph of the square numbers cross
the times table too?
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?
56 406 is the product of two consecutive numbers. What are these
These red, yellow and blue spinners were each spun 45 times in
total. Can you work out which numbers are on each spinner?
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?
This article for teachers describes how number arrays can be a
useful reprentation for many number concepts.
Nearly all of us have made table patterns on hundred squares, that
is 10 by 10 grids. This problem looks at the patterns on
differently sized square grids.
What is the lowest number which always leaves a remainder of 1 when
divided by each of the numbers from 2 to 10?
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?
Find the words hidden inside each of the circles by counting around
a certain number of spaces to find each letter in turn.