Linear functions and 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
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
Close to triangular

Age

14 to 16

Challenge level

Drawing a triangle is not always as easy as you might think!
problem
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
What's that graph?

Age

14 to 18

Challenge level

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

Age

16 to 18

Challenge level

If you plot these graphs they may look the same, but are they?