How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Can you find all the different ways of lining up these Cuisenaire
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?
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?
Can you cover the camel with these pieces?
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.
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?
If you have only four weights, where could you place them in order
to balance this equaliser?
What happens when you try and fit the triomino pieces into these
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?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
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 your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
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 hang weights in the right place to make the equaliser
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
How many right angles can you make using two sticks?
Use the clues to colour each square.
Can you complete this jigsaw of the multiplication square?
Can you create a story that would describe the movement of the man
shown on these graphs? Use the interactivity to try out our ideas.
Use the number weights to find different ways of balancing the equaliser.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Use the interactivity to move Mr Pearson and his dog. Can you move
him so that the graph shows a curve?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Stop the Clock game for an adult and child. How can you make sure you always win this game?
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?
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!
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?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Choose a symbol to put into the number sentence.
Can you make a cycle of pairs that add to make a square number
using all the numbers in the box below, once and once only?
Here is a chance to play a version of the classic Countdown Game.
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
A game for two or more players that uses a knowledge of measuring
tools. Spin the spinner and identify which jobs can be done with
the measuring tool shown.
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
What are the coordinates of the coloured dots that mark out the
tangram? Try changing the position of the origin. What happens to
the coordinates now?