Angles - points, lines and parallel lines

problem

Sweeping Hands

Age

7 to 11

Challenge level

Use your knowledge of angles to work out how many degrees the hour and minute hands of a clock travel through in different amounts of time.
problem

Overlapping Squares

Age

7 to 11

Challenge level

Have a good look at these images. Can you describe what is happening? There are plenty more images like this on NRICH's Exploring Squares CD.
problem

The Numbers Give the Design

Age

7 to 11

Challenge level

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
problem

Dotty Relationship

Age

7 to 11

Challenge level

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

Clock Hands

Age

7 to 11

Challenge level

This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.
problem

Dotty Circle

Age

7 to 11

Challenge level

Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
problem

Cylinder Cutting

Age

7 to 11

Challenge level

An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.
problem

Logo Challenge 1 - Star Square

Age

7 to 16

Challenge level

Can you use LOGO to create this star pattern made from squares. Only basic LOGO knowledge needed.
problem

Logo Challenge 8 - Rhombi

Age

7 to 16

Challenge level

Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?
problem

Shogi Shapes

Age

11 to 14

Challenge level

Shogi tiles can form interesting shapes and patterns... I wonder whether they fit together to make a ring?