# Enlargements and Scale Factors

### Who Is the Fairest of Them All?

##### Stage: 3 Challenge Level:

Explore the effect of combining enlargements.

### Growing Rectangles

##### Stage: 3 Challenge Level:

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

### Fit for Photocopying

##### Stage: 4 Challenge Level:

Photocopiers can reduce from A3 to A4 without distorting the image. Explore the relationships between different paper sizes that make this possible.

### Enlargements and Scale Factors - Short Problems

##### Stage: 3 and 4

A collection of short Stage 3 and 4 problems on enlargements and scale factors.

### Growing Triangle

##### Stage: 3 Short Challenge Level:

If the base and height of a triangle are increased by different percentages, what happens to its area?

### Pendants

##### Stage: 4 Short Challenge Level:

What proportion of each of these pendants will be made of gold?

### Half Area

##### Stage: 4 Short Challenge Level:

The horizontal red line divides this equilateral triangle into two shapes of equal area. How long is the red line?