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.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
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 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?
Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.
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.
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
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?
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
Triangle numbers can be represented by a triangular array of
squares. What do you notice about the sum of identical triangle
It's easy to work out the areas of most squares that we meet, but
what if they were tilted?
Can you spot the similarities between this game and other games you
know? The aim is to choose 3 numbers that total 15.
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 players. Can be played online. One player has 1 red
counter, the other has 4 blue. The red counter needs to reach the
other side, and the blue needs to trap the red.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
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?
These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.
A game for 1 person to play on screen. Practise your number bonds
whilst improving your memory
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Here is a chance to play a version of the classic Countdown Game.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Can you find all the 4-ball shuffles?
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Can you find a relationship between the number of dots on the
circle and the number of steps that will ensure that all points are
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.
Can you discover whether this is a fair game?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
You can move the 4 pieces of the jigsaw and fit them into both
outlines. Explain what has happened to the missing one unit of
This rectangle is cut into five pieces which fit exactly into a triangular outline and also into a square outline where the triangle, the rectangle and the square have equal areas.
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. . . .
An interactive activity for one to experiment with a tricky tessellation
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!
A generic circular pegboard resource.
You have 27 small cubes, 3 each of nine colours. Use the small cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of every colour.
A tilted square is a square with no horizontal sides. Can you
devise a general instruction for the construction of a square when
you are given just one of its sides?
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?
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 red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the. . . .
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Use the interactivities to complete these Venn diagrams.
If you have only four weights, where could you place them in order
to balance this equaliser?
A train building game for 2 players.
Work out how to light up the single light. What's the rule?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Train game for an adult and child. Who will be the first to make the train?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Using angular.js to bind inputs to outputs
Find out what a "fault-free" rectangle is and try to make some of