Enlargements and scale factors

problem
Similar rectangles

Age

14 to 16

Challenge level

Can you find the missing length?
problem
Poly plug pattern

Age

5 to 7

Challenge level

Create a pattern on the small grid. How could you extend your pattern on the larger grid?
problem
Fill me up too

Age

14 to 16

Challenge level

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?
problem
Fit for photocopying

Age

14 to 16

Challenge level

Explore the relationships between different paper sizes.
problem
L-triominoes

Age

14 to 16

Challenge level

L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?
problem
Growing rectangles

Age

11 to 14

Challenge level

What happens to the area and volume of 2D and 3D shapes when you enlarge them?
problem
Scaling clowns

Age

5 to 7

Challenge level

These five clowns work in pairs. What is the same and what is different about each pair's faces?
problem
Arrow arithmetic 1

Age

14 to 16

Challenge level

The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.
$Who \is the \fairest of \them \all ?$

problem
Who is the fairest of them all ?

Age

11 to 14

Challenge level

Explore the effect of combining enlargements.
problem
The rescaled map

Age

14 to 16

Challenge level

We use statistics to give ourselves an informed view on a subject of interest. This problem explores how to scale countries on a map to represent characteristics other than land area.