Linear functions and graphs

There are 27 NRICH Mathematical resources connected to Linear functions and graphs

problem

Favourite

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

Favourite

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

Favourite

What's that graph?

Age

14 to 18

Challenge level

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

problem

Favourite

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

Favourite

Intersections

Age

14 to 18

Challenge level

Change one equation in this pair of simultaneous equations very slightly and there is a big change in the solution. Why?

problem

Favourite

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

Favourite

Parallel lines

Age

11 to 14

Challenge level

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

problem

Favourite

Perpendicular lines

Age

14 to 16

Challenge level

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?

problem

Favourite

Negatively triangular

Age

14 to 16

Challenge level

How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?

problem

Favourite

At right angles

Age

14 to 16

Challenge level

Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

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Linear functions and graphs

The square under the hypotenuse

Kite in a square

What's that graph?

Which is cheaper?

Intersections

Which is bigger?

Parallel lines

Perpendicular lines

Negatively triangular

At right angles