Quadrilaterals

problem

What Am I?

Age

7 to 11

Challenge level

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

Hexagon Transformations

Age

7 to 11

Challenge level

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

Folding

Age

7 to 11

Challenge level

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

Fred the Class Robot

Age

7 to 11

Challenge 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?
problem

Rabbit Run

Age

7 to 11

Challenge 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?
problem

Triangle Transformation

Age

7 to 14

Challenge level

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

Making Rectangles, Making Squares

Age

11 to 14

Challenge level

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

Dividing the Field

Age

14 to 16

Challenge level

A farmer has a field which is the shape of a trapezium as illustrated below. To increase his profits he wishes to grow two different crops. To do this he would like to divide the field into two trapeziums each of equal area. How could he do this?
problem

Long Short

Age

14 to 16

Challenge level

What can you say about the lengths of the sides of a quadrilateral whose vertices are on a unit circle?
problem

Arrowhead

Age

14 to 16

Challenge level

The points P, Q, R and S are the midpoints of the edges of a non-convex quadrilateral.What do you notice about the quadrilateral PQRS and its area?