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.
Can you place the numbers from 1 to 10 in the grid?
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.
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Find the words hidden inside each of the circles by counting around
a certain number of spaces to find each letter in turn.
Help share out the biscuits the children have made.
Pat counts her sweets in different groups and both times she has
some left over. How many sweets could she have had?
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?
I am thinking of three sets of numbers less than 101. Can you find
all the numbers in each set from these clues?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
What is the lowest number which always leaves a remainder of 1 when
divided by each of the numbers from 2 to 10?
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?
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?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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?
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!
Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
Can you see how these factor-multiple chains work? Find the chain
which contains the smallest possible numbers. How about the largest
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?
This package will help introduce children to, and encourage a deep
exploration of, multiples.
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
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.
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?
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
These red, yellow and blue spinners were each spun 45 times in
total. Can you work out which numbers are on each spinner?
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?
Use the interactivities to complete these Venn diagrams.
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?
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?
How can you use just one weighing to find out which box contains
the lighter ten coins out of the ten boxes?
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.
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
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?
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.
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.
Can you complete this jigsaw of the multiplication square?
Can you work out what a ziffle is on the planet Zargon?
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?
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?
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?