Linear functions and graphs

problem
The square under the hypotenuse

Age

14 to 16

Challenge level

Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
problem
Kite in a square

Age

14 to 18

Challenge level

Can you make sense of the three methods to work out what fraction of the total area is shaded?
problem
Electric kettle

Age

14 to 16

Challenge level

Explore the relationship between resistance and temperature
problem
What's that graph?

Age

14 to 18

Challenge level

Can you work out which processes are represented by the graphs?
problem
Which is bigger?

Age

14 to 16

Challenge level

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
problem
Which is cheaper?

Age

14 to 16

Challenge level

When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?
problem
Painting between the lines

Age

11 to 16

Challenge level

In abstract and computer generated art, a real object can be represented by a simplified set of lines. Can you create a picture using mathematical instructions?
problem
Coordinate designs

Age

11 to 14

Challenge level

This task requires learners to explain and help others, asking and answering questions.
problem
Close to triangular

Age

14 to 16

Challenge level

Drawing a triangle is not always as easy as you might think!
problem
How steep is the slope?

Age

11 to 14

Challenge level

On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?