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?
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?
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?
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?
Factors and Multiples game for an adult and child. How can you make sure you win this game?
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 interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
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?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Use the interactivities to complete these Venn diagrams.
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
Can you find the chosen number from the grid using the clues?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
How many trains can you make which are the same length as Matt's, using rods that are identical?
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?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
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?
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 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.
Follow the clues to find the mystery number.
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.
There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?
Pat counts her sweets in different groups and both times she has
some left over. How many sweets could she have had?
Can you place the numbers from 1 to 10 in the grid?
Suppose we allow ourselves to use three numbers less than 10 and
multiply them together. How many different products can you find?
How do you know you've got them all?
Can you complete this jigsaw of the multiplication square?
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 activity focuses on doubling multiples of five.
Use this grid to shade the numbers in the way described. Which
numbers do you have left? Do you know what they are called?
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?
If you have only four weights, where could you place them in order
to balance this equaliser?
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?
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 fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
How many different sets of numbers with at least four members can
you find in the numbers in this box?
The planet of Vuvv has seven moons. Can you work out how long it is
between each super-eclipse?
Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
Find the words hidden inside each of the circles by counting around
a certain number of spaces to find each letter in turn.
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.
This article for teachers describes how number arrays can be a
useful reprentation for many number concepts.
56 406 is the product of two consecutive numbers. What are these
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens 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?
An environment which simulates working with Cuisenaire rods.