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 – 9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?
Can you find all the different triangles on these peg boards, and find their angles?
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?
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?
Join pentagons together edge to edge. Will they form a ring?
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
How good are you at estimating angles?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.
Use these four dominoes to make a square that has the same number of dots on each side.
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
There are six numbers written in five different scripts. Can you sort out which is which?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
A tool for generating random integers.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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?
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?
Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
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?
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?