If you have only four weights, where could you place them in order
to balance this equaliser?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Two engines, at opposite ends of a single track railway line, set
off towards one another just as a fly, sitting on the front of one
of the engines, sets off flying along the railway line...
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
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.
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.
Experiment with the interactivity of "rolling" regular polygons,
and explore how the different positions of the red dot affects its
vertical and horizontal movement at each stage.
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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?
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?
Can you find all the different ways of lining up these Cuisenaire
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
An interactive activity for one to experiment with a tricky tessellation
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?
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?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Use the sightings of the lion to guess the location of its lair.
An environment which simulates working with Cuisenaire rods.
Choose a symbol to put into the number sentence.
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
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 move Mr Pearson and his dog. Can you move
him so that the graph shows a curve?
These interactive dominoes can be dragged around the screen.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Here is a chance to play a version of the classic Countdown Game.
A card pairing game involving knowledge of simple ratio.
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.
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 make a cycle of pairs that add to make a square number
using all the numbers in the box below, once and once only?
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. . . .
Find out what a "fault-free" rectangle is and try to make some of
How many different triangles can you make on a circular pegboard
that has nine pegs?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.
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.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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?
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?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
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?
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....?