3. Amount To Scale Set 1

Question 1

Calculate amount to scale for the below question

1. A map has a scale of 1:5000. If a distance on the map is 5 cm, what is the distance in real life?

Answer 1

The distance in real life is 250 meters.
Explanation:
1 cm on the map represents 5000 cm in real life. So, 5 cm on the map represents 5 * 5000 cm = 25000 cm in real life. Converting cm to meters, we get 250 meters.

Question 2

Calculate amount to scale for the below question

2. A recipe calls for 2 cups of flour and serves 4 people. If you want to serve 8 people, how much flour do you need?

Answer 2

You need 4 cups of flour.
Explanation:
The recipe serves 4 people with 2 cups of flour, so each person gets 1/2 cup of flour. To serve 8 people, you need 8 * 1/2 = 4 cups of flour.

Question 3

Calculate amount to scale for the below question

3. A model of a car is 1/24th the size of the real car. If the length of the real car is 480 cm, what is the length of the model car?

Answer 3

The length of the model car is 20 cm.
Explanation:
1/24th of the real car’s length is the length of the model car. So, the length of the model car is 1/24th * 480 cm = 20 cm.

Question 4

Calculate amount to scale for the below question

4. A rectangular field has a length of 60 meters and a width of 40 meters. If the scale used on a map is 1:5000, what are the dimensions of the field on the map?

Answer 4

The length is 12 cm and the width is 8 cm.
Explanation:
To find the dimensions on the map, we need to divide the real-life dimensions by 5000. So, the length on the map is 60 meters / 5000 = 0.012 meters = 1.2 cm, and the width on the map is 40 meters / 5000 = 0.008 meters = 0.8 cm.

Question 5

Calculate amount to scale for the below question

5. A recipe calls for 1/2 cup of sugar and serves 6 people. If you want to serve 9 people, how much sugar do you need?

Answer 5

You need 3/4 cup of sugar.
Explanation:
The recipe serves 6 people with 1/2 cup of sugar, so each person gets 1/12 cup of sugar. To serve 9 people, you need 9 * 1/12 = 3/4 cup of sugar.

Question 6

Calculate amount to scale for the below question

6. A scale model of a building is 1/50th the size of the real building. If the height of the real building is 200 meters, what is the height of the model building?

Answer 6

The height of the model building is 4 meters.
Explanation:
1/50th of the real building’s height is the height of the model building. So, the height of the model building is 1/50th * 200 meters = 4 meters.

Question 7

Calculate amount to scale for the below question

7. A garden on a blueprint has a scale of 1:100. If a bench in the garden is 5 cm long on the blueprint, what is the actual length of the bench?

Answer 7

The actual length of the bench is 500 cm.
Explanation:
1 cm on the blueprint represents 100 cm in real life. So, 5 cm on the blueprint represents 5 * 100 cm = 500 cm in real life.

Question 8

Calculate amount to scale for the below question

8. A map has a scale of 1:25000. If a distance on the map is 8 cm, what is the distance in real life?

Answer 8

The distance in real life is 2000 meters.
Explanation:
1 cm on the map represents 25000 cm in real life. So, 8 cm on the map represents 8 * 25000 cm = 200000 cm in real life. Converting cm to meters, we get 2000 meters.

Question 9

Calculate amount to scale for the below question

9. A model of a boat is 1/10th the size of the real boat. If the length of the real boat is 50 meters, what is the length of the model boat?

Answer 9

The length of the model boat is 5 meters.
Explanation:
1/10th of the real boat’s length is the length of the model boat. So, the length of the model boat is 1/10th * 50 meters = 5 meters.

Question 10

Calculate amount to scale for the below question

10. A recipe calls for 3 cups of milk and serves 8 people. If you want to serve 12 people, how much milk do you need?

Answer 10

You need 4.5 cups of milk.
Explanation:
The recipe serves 8 people with 3 cups of milk, so each person gets 3/8 cup of milk. To serve 12 people, you need 12 * 3/8 = 4.5 cups of milk.

Question 11

Calculate amount to scale for the below question

11. A model airplane is 1/72nd the size of the real airplane. If the wingspan of the real airplane is 20 meters, what is the wingspan of the model airplane?

Answer 11

The wingspan of the model airplane is 0.28 meters.
Explanation:
1/72nd of the real airplane’s wingspan is the wingspan of the model airplane. So, the wingspan of the model airplane is 1/72nd * 20 meters = 0.28 meters.

Question 12

Calculate amount to scale for the below question

12. A map has a scale of 1:10000. If a distance on the map is 6 cm, what is the distance in real life?

Answer 12

The distance in real life is 600 meters.
Explanation:
1 cm on the map represents 10000 cm in real life. So, 6 cm on the map represents 6 * 10000 cm = 60000 cm in real life. Converting cm to meters, we get 600 meters.

Question 13

Calculate amount to scale for the below question

13. A recipe calls for 2 teaspoons of salt and serves 4 people. If you want to serve 6 people, how much salt do you need?

Answer 13

You need 3 teaspoons of salt.
Explanation:
The recipe serves 4 people with 2 teaspoons of salt, so each person gets 1/2 teaspoon of salt. To serve 6 people, you need 6 * 1/2 = 3 teaspoons of salt.

Question 14

Calculate amount to scale for the below question

14. A model of a building is 1/100th the size of the real building. If the height of the real building is 300 meters, what is the height of the model building?

Answer 14

The height of the model building is 3 meters.
Explanation:
1/100th of the real building’s height is the height of the model building. So, the height of the model building is 1/100th * 300 meters = 3 meters.

Question 15

Calculate amount to scale for the below question

15. A garden on a blueprint has a scale of 1:50. If a tree in the garden is 10 cm tall on the blueprint, what is the actual height of the tree?

Answer 15

The actual height of the tree is 500 cm.
Explanation:
1 cm on the blueprint represents 50 cm in real life. So, 10 cm on the blueprint represents 10 * 50 cm = 500 cm in real life.

Question 16

Calculate amount to scale for the below question

16. A map has a scale of 1:50000. If a distance on the map is 10 cm, what is the distance in real life?

Answer 16

The distance in real life is 5 kilometers.
Explanation:
1 cm on the map represents 50000 cm in real life. So, 10 cm on the map represents 10 * 50000 cm = 500000 cm in real life. Converting cm to km, we get 5 kilometers.

Question 17

Calculate amount to scale for the below question

17. A recipe calls for 4 cups of flour and serves 10 people. If you want to serve 15 people, how much flour do you need?

Answer 17

You need 6 cups of flour.
Explanation:
The recipe serves 10 people with 4 cups of flour, so each person gets 2/5 cup of flour. To serve 15 people, you need 15 * 2/5 = 6 cups of flour.

Question 18

Calculate amount to scale for the below question

18. A model of a car is 1/24th the size of the real car. If the length of the real car is 6 meters, what is the length of the model car?

Answer 18

The length of the model car is 0.25 meters.
Explanation:
1/24th of the real car’s length is the length of the model car. So, the length of the model car is 1/24th * 6 meters = 0.25 meters.

Question 19

Calculate amount to scale for the below question

19. A garden on a blueprint has a scale of 1:100. If a flower in the garden is 5 cm wide on the blueprint, what is the actual width of the flower?

Answer 19

The actual width of the flower is 500 cm.
Explanation:
1 cm on the blueprint represents 100 cm in real life. So, 5 cm on the blueprint represents 5 * 100 cm = 500 cm in real life.

Question 20

Calculate amount to scale for the below question

20. A map has a scale of 1:25000. If a distance on the map is 15 cm, what is the distance in real life?

Answer 20

The distance in real life is 3750 meters.
Explanation:
1 cm on the map represents 25000 cm in real life. So, 15 cm on the map represents 15 * 25000 cm = 375000 cm in real life. Converting cm to meters, we get 3750 meters.

Question 21

Calculate amount to scale for the below question

21. A recipe calls for 1/4 teaspoon of cinnamon and serves 2 people. If you want to serve 8 people, how much cinnamon do you need?

Answer 21

You need 1 teaspoon of cinnamon.
Explanation:
The recipe serves 2 people with 1/4 teaspoon of cinnamon, so each person gets 1/8 teaspoon of cinnamon. To serve 8 people, you need 8 * 1/8 = 1 teaspoon of cinnamon.

Question 22

Calculate amount to scale for the below question

22. A model of a building is 1/50th the size of the real building. If the width of the real building is 150 meters, what is the width of the model building?

Answer 22

The width of the model building is 3 meters.
Explanation:
1/50th of the real building’s width is the width of the model building. So, the width of the model building is 1/50th * 150 meters = 3 meters.

Question 23

Calculate amount to scale for the below question

23. A garden on a blueprint has a scale of 1:20. If a pond in the garden is 6 cm wide on the blueprint, what is the actual width of the pond?

Answer 23

The actual width of the pond is 120 cm.
Explanation:
1 cm on the blueprint represents 20 cm in real life. So, 6 cm on the blueprint represents 6 * 20 cm = 120 cm in real life.

Question 24

Calculate amount to scale for the below question

24. A map has a scale of 1:5000. If a distance on the map is 4 cm, what is the distance in real life?

Answer 24

The distance in real life is 20 kilometers.
Explanation:
1 cm on the map represents 5000 cm in real life. So, 4 cm on the map represents 4 * 5000 cm = 20000 cm in real life. Converting cm to km, we get 20 kilometers.

Question 25

Calculate amount to scale for the below question

25. A recipe calls for 2 cups of sugar and serves 12 people. If you want to serve 18 people, how much sugar do you need?

Answer 25

You need 3 cups of sugar.
Explanation:
The recipe serves 12 people with 2 cups of sugar, so each person gets 1/6 cup of sugar. To serve 18 people, you need 18 * 1/6 = 3 cups of sugar.