# Lesson Worksheet: Scale Factors Mathematics

In this worksheet, we will practice finding single-digit scale factors and using scale factors to find unknown lengths.

**Q1: **

If the given shape is enlarged by a scale factor of 3, which of the following will match the shape after it has been enlarged?

- A
- B
- C
- D
- E

**Q2: **

The given shape is enlarged by a scale factor of 2. Which of the following matches the shape after it has been enlarged?

- A
- B
- C
- D
- E

**Q3: **

The height of the flagstick is 7 feet and its shadow is 21 feet. What is the scale factor from the flag to its shadow?

**Q4: **

If the shape was enlarged by a scale factor of 0.5, which of the following would match the shape after it has been enlarged?

- A
- B
- C
- D
- E

**Q5: **

A poster’s actual length is 2 times the length of the original design. If the design’s length is 14 cm, find the poster’s length.

**Q6: **

If the given shape was the result of an enlargement by a factor of 5, which of the following would be the original shape?

- A
- B
- C
- D
- E

**Q7: **

Amelia measured that the height of a tree was 200 cm. She also measured the length of its shadow which was 100 cm. What was the scale factor between the height of the tree and the length of its shadow?

**Q8: **

Hannah was standing in the playground. Her shadow was 260 cm in length, which was found to be 2 times her actual height. Find Hannah’s height.

**Q9: **

What is the scale factor by which the original figure was enlarged?

**Q10: **

An art teacher made a model of a plant. The height of the model is 0.5 times the height of the actual plant. How tall is the plant if the model is 20 cm?