Can you complete this jigsaw of the multiplication square?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
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?
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?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
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 make a train the same length as Laura's but using three
differently coloured rods? Is there only one way of doing it?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
If you have only four weights, where could you place them in order
to balance this equaliser?
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 put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
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 number weights to find different ways of balancing the equaliser.
An environment which simulates working with Cuisenaire rods.
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Here is a chance to play a version of the classic Countdown Game.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Can you hang weights in the right place to make the equaliser
An odd version of tic tac toe
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
What happens when you try and fit the triomino pieces into these
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Match the halves.
You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?
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....?
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.
Can you cover the camel with these pieces?
A card pairing game involving knowledge of simple ratio.
A generic circular pegboard resource.
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 for 2 people that can be played on line or with pens and paper. Combine your knowledege of coordinates with your skills of strategic thinking.
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
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?
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.
An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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?
Move just three of the circles so that the triangle faces in the
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?
Ahmed has some wooden planks to use for three sides of a rabbit run
against the shed. What quadrilaterals would he be able to make with
the planks of different lengths?
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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 information about Sally and her brother to find out how many children there are in the Brown family.
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?