Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?
Can you shunt the trucks so that the Cattle truck and the Sheep truck change places and the Engine is back on the main line?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?
10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?
How will you go about finding all the jigsaw pieces that have one peg and one hole?
In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?
This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes. . . .
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?
Find your way through the grid starting at 2 and following these operations. What number do you end on?
Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
Design an arrangement of display boards in the school hall which fits the requirements of different people.
What is the best way to shunt these carriages so that each train can continue its journey?
Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?
In each of the pictures the invitation is for you to: Count what you see. Identify how you think the pattern would continue.
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
A game for two players. You'll need some counters.
Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?
This article for teachers describes how modelling number properties involving multiplication using an array of objects not only allows children to represent their thinking with concrete materials,. . . .
Can you fit the tangram pieces into the outlines of the convex shapes?
An extension of noughts and crosses in which the grid is enlarged and the length of the winning line can to altered to 3, 4 or 5.
Can you fit the tangram pieces into the outline of this teacup?
These are pictures of the sea defences at New Brighton. Can you work out what a basic shape might be in both images of the sea wall and work out a way they might fit together?
We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?
A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Think of a number, square it and subtract your starting number. Is the number you’re left with odd or even? How do the images help to explain this?
How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?
In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
Which of these dice are right-handed and which are left-handed?
A game for 2 players. Given a board of dots in a grid pattern, players take turns drawing a line by connecting 2 adjacent dots. Your goal is to complete more squares than your opponent.
This article looks at levels of geometric thinking and the types of activities required to develop this thinking.
Can you find a way of counting the spheres in these arrangements?
This article for teachers describes a project which explores the power of storytelling to convey concepts and ideas to children.
Can you fit the tangram pieces into the outline of the house?
An activity centred around observations of dots and how we visualise number arrangement patterns.
Can you fit the tangram pieces into the outline of the butterfly?
Can you fit the tangram pieces into the outlines of the camel and giraffe?
Can you fit the tangram pieces into the outline of the plaque design?
Can you fit the tangram pieces into the silhouette of the junk?
Can you fit the tangram pieces into the outlines of Mah Ling and Chi Wing?
Can you fit the tangram pieces into the outline of the playing piece?
Can you fit the tangram pieces into the outline of the clock?
Can you fit the tangram pieces into the outline of Granma T?
Can you fit the tangram pieces into the outlines of the rabbits?
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outline of the dragon?
Can you fit the tangram pieces into the outlines of Wai Ping, Wu Ming and Chi Wing?
Read about the adventures of Granma T and her grandchildren in this series of stories, accompanied by interactive tangrams.