Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
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?
Can you complete this jigsaw of the multiplication square?
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....?
An environment which simulates working with Cuisenaire rods.
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?
If you have only four weights, where could you place them in order
to balance this equaliser?
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 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?
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.
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.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
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?
An odd version of tic tac toe
Can you hang weights in the right place to make the equaliser
Use the number weights to find different ways of balancing the equaliser.
Here is a chance to play a version of the classic Countdown Game.
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
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?
A generic circular pegboard resource.
Work out how to light up the single light. What's the rule?
Choose a symbol to put into the number sentence.
This 100 square jigsaw is written in code. It starts with 1 and
ends with 100. Can you build it up?
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Use the interactivities to complete these Venn diagrams.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
A card pairing game involving knowledge of simple ratio.
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?
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Use the information about Sally and her brother to find out how many children there are in the Brown family.
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?
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?
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 for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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.
An interactive activity for one to experiment with a tricky tessellation
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.
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
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?