Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
Can you explain the strategy for winning this game with any target?
The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
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?
These interactive dominoes can be dragged around the screen.
Do you know how to find the area of a triangle? You can count the squares. What happens if we turn the triangle on end? Press the button and see. Try counting the number of units in the triangle now. . . .
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .
What shaped overlaps can you make with two circles which are the same size? What shapes are 'left over'? What shapes can you make when the circles are different sizes?
A train building game for 2 players.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
Here is a chance to play a version of the classic Countdown Game.
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
A generic circular pegboard resource.
A card pairing game involving knowledge of simple ratio.
Use the interactivity or play this dice game yourself. How could you make it fair?
A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
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?
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....?
A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
Train game for an adult and child. Who will be the first to make the train?
A simulation of target archery practice
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. . . .
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
An interactive activity for one to experiment with a tricky tessellation
How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.
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?
Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
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 in them?
We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4
The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.
What is the relationship between the angle at the centre and the angles at the circumference, for angles which stand on the same arc? Can you prove it?
An interactive game to be played on your own or with friends. Imagine you are having a party. Each person takes it in turns to stand behind the chair where they will get the most chocolate.
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.
A game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.