Word Problems on Unitary Method

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Worksheet-3

Answer each question and round your answer to the nearest whole number.

1. Oak Grove and Kumba are 2 in apart on a map that has a scale of 1 in : 6 mi. How far apart are the real cities?

A) 72 mi             B) 13 mi             C) 14 mi             D) 12 mi

2. A model train has a scale of 1 in : 2 ft. If the model train is 6 in tall, then how tall is the real train?

A) 12 ft               B) 3 ft                 C) 2 ft                 D) 8 ft

3. A 2 ft tall globe standing next to a petrified stump casts a 5 ft shadow. If the petrified stump is 4 ft tall, then how long is its shadow?

A) 1 ft                  B) 2 ft                 C) 13 ft               D) 10 ft

4. A 3 ft tall bird bath standing next to a man casts a 1 ft shadow. If the man casts a shadow that is 2 ft long, then how tall is he?

A) 6 ft                 B) 18 ft               C) 0 ft                 D) 9 ft

5. A 2 ft tall globe standing next to a car casts a 1 ft shadow. If the car is 6 ft tall, then how long is its shadow?

A) 3 ft                 B) 4 ft                 C) 12 ft               D) 1 ft

6. A model house is 10 in wide. If it was built with a scale of 1 in : 2 ft, then how wide is the real house?

A) 12 ft               B) 2 ft                 C) 20 ft               D) 5 ft

7. A model house has a scale of 1 in : 2 ft. If the real house is 20 ft tall, then how tall is the model house?

A) 18 in              B) 2 in                C) 10 in              D) 40 in

8. A model motorcycle has a scale of 1 in : 2 ft. If the real motorcycle is 10 ft long, then how long is the model motorcycle?

A) 8 in                B) 20 in              C) 5 in                 D) 2 in

9. A 6 ft tall woman standing next to a telephone booth casts a 2 ft shadow. If the telephone booth casts a shadow that is 3 ft long, then how tall is it?

A) 9 ft                 B) 18 ft               C) 27 ft               D) 1 ft

10. A particular giraffe is 10 ft tall. A model of it was built with a scale of 1 in : 2 ft. How tall is the model?

A) 8 in                B) 2 in                C) 5 in                 D) 20 in

11. If a 14 ft tall ladder casts a 7 ft long shadow, then how tall is a statue that casts a 5 ft shadow?

A) 28 ft               B) 4 ft                 C) 10 ft               D) 20 ft

12. If a 10 ft tall statue casts a 20 ft long shadow, then how tall is a man that casts a 12 ft shadow?

A) 6 ft                 B) 5 ft                 C) 40 ft               D) 3 ft

13. A statue that is 12 ft tall casts a shadow that is 8 ft long. Find the length of the shadow that a 9 ft adult elephant casts.

A) 14 ft               B) 6 ft                 C) 5 ft                 D) 18 ft

14. If a 4 ft tall baby elephant casts a 5 ft long shadow, then how tall is an adult giraffe that casts a 20 ft shadow?

A) 13 ft               B) 16 ft               C) 6 ft                 D) 3 ft

15. If a 6 ft tall baby giraffe casts a 12 ft long shadow, then how tall is a car that casts a 8 ft shadow?

A) 4 ft                 B) 24 ft               C) 2 ft                 D) 3 ft

1. D
2. A
3. D
4. A
5. A
6. C
7. C
8. C
9. A
10. C
11. C
12. A
13. B
14. B
15. A