Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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....?
Can you complete this jigsaw of the multiplication square?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
What happens when you try and fit the triomino pieces into these
Can you cover the camel with these pieces?
Can you hang weights in the right place to make the equaliser
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
An environment which simulates working with Cuisenaire rods.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
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 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?
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?
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?
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!
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
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?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
How many trains can you make which are the same length as Matt's, using rods that are identical?
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?
A variant on the game Alquerque
An odd version of tic tac toe
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Here is a chance to play a version of the classic Countdown Game.
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?
Use the clues to colour each square.
Use the number weights to find different ways of balancing the equaliser.
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
If you have only four weights, where could you place them in order
to balance this equaliser?
Can you find all the different ways of lining up these Cuisenaire
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
How many different rhythms can you make by putting two drums on the
An interactive activity for one to experiment with a tricky tessellation
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?