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.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Can you find just the right bubbles to hold your number?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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 the interactivity to sort these numbers into sets. Can you give
each set a name?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
If you have only four weights, where could you place them in order
to balance this equaliser?
Factors and Multiples game for an adult and child. How can you make sure you win this game?
Can you complete this jigsaw of the multiplication square?
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?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
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?
Use the interactivities to complete these Venn diagrams.
Got It game for an adult and child. How can you play so that you know you will always win?
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.
Help share out the biscuits the children have made.
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?
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.
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?
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?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
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?
For this challenge, you'll need to play Got It! Can you explain the strategy for winning this game with any target?
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?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
How can you use just one weighing to find out which box contains
the lighter ten coins out of the ten boxes?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
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?
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
This activity focuses on doubling multiples of five.
An investigation that gives you the opportunity to make and justify
Pat counts her sweets in different groups and both times she has
some left over. How many sweets could she have had?
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?
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?
This article for teachers describes how number arrays can be a
useful reprentation for many number concepts.
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.
These red, yellow and blue spinners were each spun 45 times in
total. Can you work out which numbers are on each spinner?
Can you place the numbers from 1 to 10 in the grid?
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?
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
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?
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?
An environment which simulates working with Cuisenaire rods.
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
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?