Use length, area and volume scale factors

Question 1

A model car is built to a length scale of 1 : 2 compared with a bigger model. The small model holds 8 cm³ of paint inside its body. How much would the bigger model hold?

Answer 

Question 2

Two similar shapes have lengths in the ratio 1 : 5. The smaller has area 18 cm². What is the area of the larger?

Answer 

Question 3

Two similar jugs have surface areas in the ratio 1 : 9. The smaller jug holds 3 ml. How much does the larger jug hold?

Answer 

Question 4

A model car is built to a length scale of 1 : 4 compared with a bigger model. The small model holds 8 cm³ of paint inside its body. How much would the bigger model hold?

Answer 

Question 5

Two similar shapes have lengths in the ratio 1 : 2. The smaller has area 19 cm². What is the area of the larger?

Answer 

Question 6

Two similar jugs have surface areas in the ratio 4 : 9. The smaller jug holds 40 ml. How much does the larger jug hold?

Answer 

Question 7

A model car is built to a length scale of 1 : 4 compared with a bigger model. The small model holds 28 cm³ of paint inside its body. How much would the bigger model hold?

Answer 

Question 8

Two similar shapes have lengths in the ratio 1 : 2. The smaller has area 18 cm². What is the area of the larger?

Answer 

Question 9

Two similar jugs have surface areas in the ratio 9 : 16. The smaller jug holds 54 ml. How much does the larger jug hold?

Answer 

Question 10

A model car is built to a length scale of 1 : 4 compared with a bigger model. The small model holds 25 cm³ of paint inside its body. How much would the bigger model hold?

Answer 

Question 11

Two similar shapes have lengths in the ratio 1 : 3. The smaller has area 9 cm². What is the area of the larger?

Answer 

Question 12

Two similar jugs have surface areas in the ratio 1 : 9. The smaller jug holds 2 ml. How much does the larger jug hold?

Answer 

Question 13

A model car is built to a length scale of 1 : 4 compared with a bigger model. The small model holds 25 cm³ of paint inside its body. How much would the bigger model hold?

Answer 

Question 14

Two similar shapes have lengths in the ratio 1 : 3. The smaller has area 25 cm². What is the area of the larger?

Answer 

Question 15

Two similar jugs have surface areas in the ratio 4 : 25. The smaller jug holds 8 ml. How much does the larger jug hold?

Answer 

Question 16

A model car is built to a length scale of 1 : 2 compared with a bigger model. The small model holds 9 cm³ of paint inside its body. How much would the bigger model hold?

Answer