Can you complete this jigsaw of the multiplication square?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Choose four of the numbers from 1 to 9 to put in the squares so
that the differences between joined squares are odd.
If you have only four weights, where could you place them in order
to balance this equaliser?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
Start by putting one million (1 000 000) into the display of your
calculator. Can you reduce this to 7 using just the 7 key and add,
subtract, multiply, divide and equals as many times as you like?
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 make a train the same length as Laura's but using three
differently coloured rods? Is there only one way of doing it?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Use the number weights to find different ways of balancing the equaliser.
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
An odd version of tic tac toe
An environment which simulates working with Cuisenaire rods.
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!
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Here is a chance to play a version of the classic Countdown Game.
Can you hang weights in the right place to make the equaliser
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Match the halves.
This problem is based on a code using two different prime numbers
less than 10. You'll need to multiply them together and shift the
alphabet forwards by the result. Can you decipher the code?
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
Can you complete this jigsaw of the 100 square?
Is it possible to place 2 counters on the 3 by 3 grid so that there
is an even number of counters in every row and every column? How
about if you have 3 counters or 4 counters or....?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Move just three of the circles so that the triangle faces in the
A variant on the game Alquerque
You have 4 red and 5 blue counters. How many ways can they be
placed on a 3 by 3 grid so that all the rows columns and diagonals
have an even number of red counters?
Exchange the positions of the two sets of counters in the least possible number of moves
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Can you put the 25 coloured tiles into the 5 x 5 square so that no
column, no row and no diagonal line have tiles of the same colour
A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.
Hover your mouse over the counters to see which ones will be
removed. Click to remover them. The winner is the last one to
remove a counter. How you can make sure you win?
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
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 work out how to balance this equaliser? You can put more
than one weight on a hook.
Use the information about Sally and her brother to find out how many children there are in the Brown family.
A generic circular pegboard resource.
Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Use the interactivities to complete these Venn diagrams.
Twenty four games for the run-up to Christmas.
The idea of this game is to add or subtract the two numbers on the
dice and cover the result on the grid, trying to get a line of
three. Are there some numbers that are good to aim for?
These interactive dominoes can be dragged around the screen.