Linear functions and graphs

There are 27 NRICH Mathematical resources connected to Linear functions and graphs
The square under the hypotenuse
problem

The square under the hypotenuse

Age
14 to 16
Challenge level
filled star filled star empty star

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

Kite in a Square
problem

Kite in a square

Age
14 to 18
Challenge level
filled star filled star empty star

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

Electric Kettle
problem

Electric kettle

Age
14 to 16
Challenge level
filled star empty star empty star
Explore the relationship between resistance and temperature
What's that graph?
problem

What's that graph?

Age
14 to 18
Challenge level
filled star filled star empty star

Can you work out which processes are represented by the graphs?

Which is bigger?
problem

Which is bigger?

Age
14 to 16
Challenge level
filled star filled star empty star
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
Which is cheaper?
problem

Which is cheaper?

Age
14 to 16
Challenge level
filled star empty star empty star
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?
Painting between the lines
problem

Painting between the lines

Age
11 to 16
Challenge level
filled star empty star empty star
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?
Coordinate Designs
problem

Coordinate designs

Age
11 to 14
Challenge level
filled star empty star empty star
This task requires learners to explain and help others, asking and answering questions.
Close to triangular
problem

Close to triangular

Age
14 to 16
Challenge level
filled star filled star filled star
Drawing a triangle is not always as easy as you might think!
How steep is the slope?
problem

How steep is the slope?

Age
11 to 14
Challenge level
filled star empty star empty star

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?