Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its speed at each stage.
Board Block Challenge game for an adult and child. Can you prevent your partner from being able to make a shape?
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 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?
Use the applet to explore the area of a parallelogram and how it relates to vectors.
How well can you estimate angles? Playing this game could improve your skills.
Can you complete this jigsaw of the multiplication square?
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?
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.
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?
A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.
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?
Move the corner of the rectangle. Can you work out what the purple number represents?
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
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....?
Use the applet to make some squares. What patterns do you notice in the coordinates?
You have two sets of the digits 0 â€“ 9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?
How did the the rotation robot make these patterns?
A generic circular pegboard resource.
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.
Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
Can you find all the different triangles on these peg boards, and find their angles?
Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.
There are six numbers written in five different scripts. Can you sort out which is which?
Use these four dominoes to make a square that has the same number of dots on each side.
How good are you at estimating angles?
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
Join pentagons together edge to edge. Will they form a ring?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Draw some angles inside a rectangle. What do you notice? Can you prove it?
An environment that enables you to investigate tessellations of regular polygons
In how many ways can you fit all three pieces together to make shapes with line symmetry?
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
Never used GeoGebra before? This article for complete beginners will help you to get started with this free dynamic geometry software.
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?
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
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.