How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
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?
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!
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
If you have only four weights, where could you place them in order
to balance this equaliser?
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?
Mr McGregor has a magic potting shed. Overnight, the number of
plants in it doubles. He'd like to put the same number of plants in
each of three gardens, planting one garden each day. Can he do it?
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?
Choose a symbol to put into the number sentence.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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....?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Can you complete this jigsaw of the multiplication square?
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
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?
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?
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 interactivities to complete these Venn diagrams.
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Can you find all the different ways of lining up these Cuisenaire
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Here is a chance to play a version of the classic Countdown Game.
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?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Can you make the green spot travel through the tube by moving the
yellow spot? Could you draw a tube that both spots would follow?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Find out what a "fault-free" rectangle is and try to make some of
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
A generic circular pegboard resource.
Use the blue spot to help you move the yellow spot from one star to
the other. How are the trails of the blue and yellow spots related?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
A tetromino is made up of four squares joined edge to edge. Can
this tetromino, together with 15 copies of itself, be used to cover
an eight by eight chessboard?
An interactive activity for one to experiment with a tricky tessellation
Can you find all the different triangles on these peg boards, and
find their angles?
An environment which simulates working with Cuisenaire rods.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
How many different triangles can you make on a circular pegboard that has nine pegs?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
A card pairing game involving knowledge of simple ratio.
A simulation of target archery practice
These interactive dominoes can be dragged around the screen.
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Can you locate the lost giraffe? Input coordinates to help you
search and find the giraffe in the fewest guesses.
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. . . .
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.