Construction - September 2005, All Stages

Problems

problem icon

Chairs and Tables

Stage: 1 Challenge Level: Challenge Level:1

Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

problem icon

Mrs Trimmer's String

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Can you help the children in Mrs Trimmer's class make different shapes out of a loop of string?

problem icon

Complete the Square

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Complete the squares - but be warned some are trickier than they look!

problem icon

Dotty Relationship

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Can you draw perpendicular lines without using a protractor? Investigate how this is possible.

problem icon

Stringy Quads

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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

problem icon

Yin Yang

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you reproduce the Yin Yang symbol using a pair of compasses?

problem icon

Keep Your Distance

Stage: 3 Challenge Level: Challenge Level:1

Can you mark 4 points on a flat surface so that there are only two different distances between them?

problem icon

Property Chart

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

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?

problem icon

Shapely Pairs

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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...

problem icon

Three Tears

Stage: 4 Challenge Level: Challenge Level:1

Construct this design using only compasses

problem icon

Triangle in a Triangle

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you work out the fraction of the original triangle that is covered by the inner triangle?

problem icon

Half a Triangle

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Construct a line parallel to one side of a triangle so that the triangle is divided into two equal areas.

problem icon

Trig Rules OK

Stage: 5 Challenge Level: Challenge Level:1

Change the squares in this diagram and spot the property that stays the same for the triangles. Explain...

problem icon

Pentabuild

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Explain how to construct a regular pentagon accurately using a straight edge and compass.

problem icon

Vecten

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Join in this ongoing research. Build squares on the sides of a triangle, join the outer vertices forming hexagons, build further rings of squares and quadrilaterals, investigate.