Can you complete this jigsaw of the multiplication square?
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?
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?
Here is a chance to play a version of the classic Countdown Game.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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 see why 2 by 2 could be 5? Can you predict what 2 by 10
An environment which simulates working with Cuisenaire rods.
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 make a train the same length as Laura's but using three
differently coloured rods? Is there only one way of doing it?
Can you hang weights in the right place to make the equaliser
An odd version of tic tac toe
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.
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.
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?
If you have only four weights, where could you place them in order
to balance this equaliser?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Use the number weights to find different ways of balancing the equaliser.
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
A generic circular pegboard resource.
Choose a symbol to put into the number sentence.
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
A card pairing game involving knowledge of simple ratio.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
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?
Find out what a "fault-free" rectangle is and try to make some of
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?
Move just three of the circles so that the triangle faces in the
An interactive activity for one to experiment with a tricky tessellation
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?
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. . . .