Linear functions and graphs

problem
Favourite

Surprising Transformations

Age

14 to 16

Challenge level

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?
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

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

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

What's That Graph?

Age

14 to 18

Challenge level

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

On the Road

Age

14 to 16

Challenge level

Four vehicles travelled on a road. What can you deduce from the times that they met?
problem

Reflect Again

Age

16 to 18

Challenge level

Follow hints to investigate the matrix which gives a reflection of the plane in the line y=tanx. Show that the combination of two reflections in intersecting lines is a rotation.
problem

Coordinate Designs

Age

11 to 14

Challenge level

This task requires learners to explain and help others, asking and answering questions.
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?