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### Hexagon Transformations

##### Age 7 to 11Challenge Level

Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!

### Folding Flowers 1

##### Age 7 to 11Challenge Level

Can you visualise what shape this piece of paper will make when it is folded?

##### Age 7 to 11Challenge Level

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

### Bracelets

##### Age 7 to 11Challenge Level

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

### Part the Polygons

##### Age 7 to 11 ShortChallenge Level

Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.

### Folding

##### Age 7 to 11Challenge Level

What shapes can you make by folding an A4 piece of paper?

### Cut and Make

##### Age 7 to 11Challenge Level

Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?

### Torn Shapes

##### Age 7 to 11Challenge Level

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

### Cutting it Out

##### Age 5 to 11Challenge Level

I cut this square into two different shapes. What can you say about the relationship between them?

##### Age 7 to 11Challenge Level

A task which depends on members of the group noticing the needs of others and responding.

### Shape Draw

##### Age 7 to 11Challenge Level

Use the information on these cards to draw the shape that is being described.

### Rectangle Tangle

##### Age 7 to 11Challenge Level

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

### Numerically Equal

##### Age 7 to 11Challenge Level

Can you draw a square in which the perimeter is numerically equal to the area?

### Fred the Class Robot

##### Age 7 to 11Challenge Level

Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?

### Making Rectangles, Making Squares

##### Age 11 to 14Challenge Level

How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?

##### Age 7 to 11Challenge Level

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

### Is a Square a Rectangle?

##### Age 7 to 11Challenge Level

How many rectangles can you find in this shape? Which ones are differently sized and which are 'similar'?

##### Age 11 to 14Challenge Level

A game for 2 or more people, based on the traditional card game Rummy.

### Opposite Vertices

##### Age 11 to 14Challenge Level

Can you recreate squares and rhombuses if you are only given a side or a diagonal?

### What Am I?

##### Age 7 to 11Challenge Level

Can you draw the shape that is being described by these cards?

### Transformations on a Pegboard

##### Age 7 to 11Challenge Level

How would you move the bands on the pegboard to alter these shapes?

### Rabbit Run

##### Age 7 to 11Challenge Level

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?

### Shapely Pairs

##### Age 11 to 14Challenge Level

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

### Property Chart

##### Age 11 to 14Challenge Level

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

### Poly Plug Rectangles

##### Age 5 to 14Challenge Level

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

##### Age 11 to 14Challenge Level

Four rods, two of length a and two of length b, are linked to form a kite. The linkage is moveable so that the angles change. What is the maximum area of the kite?

##### Age 11 to 16

This gives a short summary of the properties and theorems of cyclic quadrilaterals and links to some practical examples to be found elsewhere on the site.

##### Age 11 to 14Challenge Level

We started drawing some quadrilaterals - can you complete them?

### A Cartesian Puzzle

##### Age 7 to 11Challenge Level

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

### Triangle Transformation

##### Age 7 to 14Challenge Level

Start with a triangle. Can you cut it up to make a rectangle?