Linear functions and graphs

problem
Favourite

Surprising Transformations

Age

14 to 16

Challenge level

2 out of 3

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

2 out of 3

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

2 out of 3

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

Intersections

Age

14 to 18

Challenge level

1 out of 3

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

2 out of 3

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

Kite in a Square

Age

14 to 18

Challenge level

2 out of 3

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

3 out of 3

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

3 out of 3

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.
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Coordinate Designs

Age

11 to 14

Challenge level

1 out of 3

This task requires learners to explain and help others, asking and answering questions.
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Painting Between the Lines

Age

11 to 16

Challenge level

1 out of 3

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?