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?
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.
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Can you find just the right bubbles to hold your number?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
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?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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!
The planet of Vuvv has seven moons. Can you work out how long it is
between each super-eclipse?
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.
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
How many trains can you make which are the same length as Matt's, using rods that are identical?
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 sort these numbers into sets. Can you give
each set a name?
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?
Factors and Multiples game for an adult and child. How can you make sure you win this game?
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
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?
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?
Can you find the chosen number from the grid using the clues?
Can you complete this jigsaw of the multiplication square?
Use the interactivities to complete these Venn diagrams.
If you have only four weights, where could you place them in order
to balance this equaliser?
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?
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?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
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?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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?
A game in which players take it in turns to choose a number. Can you block your opponent?
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?
Use this grid to shade the numbers in the way described. Which
numbers do you have left? Do you know what they are called?
When Charlie asked his grandmother how old she is, he didn't get a
straightforward reply! Can you work out how old she is?
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.
For this challenge, you'll need to play Got It! Can you explain the strategy for winning this game with any target?
"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 ...?
Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
A game that tests your understanding of remainders.
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?
Can you place the numbers from 1 to 10 in the grid?
An environment which simulates working with Cuisenaire rods.
Complete the magic square using the numbers 1 to 25 once each. Each
row, column and diagonal adds up to 65.
An investigation that gives you the opportunity to make and justify
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
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?