4. Amount To Scale Set 2

Question 1

Calculate amount to scale for the below question

26. A model of a plane is 1/48th the size of the real plane. If the wingspan of the real plane is 30 meters, what is the wingspan of the model plane?

Answer 1

The wingspan of the model plane is 0.625 meters.
Explanation:
1/48th of the real plane’s wingspan is the wingspan of the model plane. So, the wingspan of the model plane is 1/48th * 30 meters = 0.625 meters.

Question 2

Calculate amount to scale for the below question

27. 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 2

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 3

Calculate amount to scale for the below question

28. A map has a scale of 1:10000. If a distance on the map is 8 cm, what is the distance in real life?

Answer 3

The distance in real life is 800 meters.
Explanation:
1 cm on the map represents 10000 cm in real life. So, 8 cm on the map represents 8 * 10000 cm = 80000 cm in real life. Converting cm to meters, we get 800 meters.

Question 4

Calculate amount to scale for the below question

29. A recipe calls for 1/2 teaspoon of salt and serves 4 people. If you want to serve 6 people, how much salt do you need?

Answer 4

You need 3/4 teaspoon of salt.
Explanation:
The recipe serves 4 people with 1/2 teaspoon of salt, so each person gets 1/8 teaspoon of salt. To serve 6 people, you need 6 * 1/8 = 3/4 teaspoon of salt.

Question 5

Calculate amount to scale for the below question

30. A model of a building is 1/100th the size of the real building. If the height of the real building is 40 meters, what is the height of the model building?

Answer 5

The height of the model building is 0.4 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 * 40 meters = 0.4 meters.

Question 6

Calculate amount to scale for the below question

31. A garden on a blueprint has a scale of 1:10. If a fence in the garden is 8 cm long on the blueprint, what is the actual length of the fence?

Answer 6

The actual length of the fence is 80 cm.
Explanation:
1 cm on the blueprint represents 10 cm in real life. So, 8 cm on the blueprint represents 8 * 10 cm = 80 cm in real life.

Question 7

Calculate amount to scale for the below question

32. A map has a scale of 1:20000. If a distance on the map is 12 cm, what is the distance in real life?

Answer 7

The distance in real life is 2400 meters.
Explanation:
1 cm on the map represents 20000 cm in real life. So, 12 cm on the map represents 12 * 20000 cm = 240000 cm in real life. Converting cm to meters, we get 2400 meters.

Question 8

Calculate amount to scale for the below question

33. A recipe calls for 1 cup of flour and serves 8 people. If you want to serve 10 people, how much flour do you need?

Answer 8

You need 1 1/4 cups of flour.
Explanation:
The recipe serves 8 people with 1 cup of flour, so each person gets 1/8 cup of flour. To serve 10 people, you need 10 * 1/8 = 1 1/4 cups of flour.

Question 9

Calculate amount to scale for the below question

34. A model of a car is 1/64th the size of the real car. If the length of the real car is 4 meters, what is the length of the model car?

Answer 9

The length of the model car is 0.0625 meters.
Explanation:
1/64th of the real car’s length is the length of the model car. So, the length of the model car is 1/64th * 4 meters = 0.0625 meters.

Question 10

Calculate amount to scale for the below question

35. 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 10

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 11

Calculate amount to scale for the below question

36. A map has a scale of 1:25000. If a distance on the map is 10 cm, what is the distance in real life?

Answer 11

The distance in real life is 2500 meters.
Explanation:
1 cm on the map represents 25000 cm in real life. So, 10 cm on the map represents 10 * 25000 cm = 250000 cm in real life. Converting cm to meters, we get 2500 meters.

Question 12

Calculate amount to scale for the below question

37. A recipe calls for 1/4 teaspoon of baking soda and serves 6 people. If you want to serve 9 people, how much baking soda do you need?

Answer 12

You need 3/8 teaspoon of baking soda.
Explanation:
The recipe serves 6 people with 1/4 teaspoon of baking soda, so each person gets 1/24 teaspoon of baking soda. To serve 9 people, you need 9 * 1/24 = 3/8 teaspoon of baking soda.

Question 13

Calculate amount to scale for the below question

38. A model of a train is 1/72nd the size of the real train. If the length of the real train is 48 meters, what is the length of the model train?

Answer 13

The length of the model train is 0.6667 meters.
Explanation:
1/72nd of the real train’s length is the length of the model train. So, the length of the model train is 1/72nd * 48 meters = 0.6667 meters.

Question 14

Calculate amount to scale for the below question

39. A garden on a blueprint has a scale of 1:30. If a statue in the garden is 12 cm tall on the blueprint, what is the actual height of the statue?

Answer 14

The actual height of the statue is 360 cm.
Explanation:
1 cm on the blueprint represents 30 cm in real life. So, 12 cm on the blueprint represents 12 * 30 cm = 360 cm in real life.

Question 15

Calculate amount to scale for the below question

40. Amap has a scale of 1:50000. If a distance on the map is 5 cm, what is the distance in real life?

Answer 15

The distance in real life is 2.5 kilometers.
Explanation:
1 cm on the map represents 50000 cm in real life. So, 5 cm on the map represents 5 * 50000 cm = 250000 cm in real life. Converting cm to kilometers, we get 2.5 kilometers.

Question 16

Calculate amount to scale for the below question

41. A recipe calls for 3/4 cup of sugar and serves 12 people. If you want to serve 15 people, how much sugar do you need?

Answer 16

You need 15/16 cup of sugar.
Explanation:
The recipe serves 12 people with 3/4 cup of sugar, so each person gets 1/12 cup of sugar. To serve 15 people, you need 15 * 1/12 = 5/4 cups of sugar, which simplifies to 15/16 cup.

Question 17

Calculate amount to scale for the below question

42. A model of a building is 1/100th the size of the real building. If the height of the real building is 120 meters, what is the height of the model building?

Answer 17

The height of the model building is 1.2 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 * 120 meters = 1.2 meters.

Question 18

Calculate amount to scale for the below question

43. A garden on a blueprint has a scale of 1:40. If a tree in the garden is 10 cm tall on the blueprint, what is the actual height of the tree?

Answer 18

The actual height of the tree is 400 cm.
Explanation:
1 cm on the blueprint represents 40 cm in real life. So, 10 cm on the blueprint represents 10 * 40 cm = 400 cm in real life.

Question 19

Calculate amount to scale for the below question

44. A map has a scale of 1:75000. If a distance on the map is 8 cm, what is the distance in real life?

Answer 19

The distance in real life is 6 kilometers.
Explanation:
1 cm on the map represents 75000 cm in real life. So, 8 cm on the map represents 8 * 75000 cm = 600000 cm in real life. Converting cm to kilometers, we get 6 kilometers.

Question 20

Calculate amount to scale for the below question

45. A recipe calls for 1/2 teaspoon of salt and serves 4 people. If you want to serve 6 people, how much salt do you need?

Answer 20

You need 3/4 teaspoon of salt.
Explanation:
The recipe serves 4 people with 1/2 teaspoon of salt, so each person gets 1/8 teaspoon of salt. To serve 6 people, you need 6 * 1/8 = 3/4 teaspoon of salt.

Question 21

Calculate amount to scale for the below question

46. A model of a boat is 1/48th the size of the real boat. If the length of the real boat is 24 meters, what is the length of the model boat?

Answer 21

The length of the model boat is 0.5 meters.
Explanation:
1/48th of the real boat’s length is the length of the model boat. So, the length of the model boat is 1/48th * 24 meters = 0.5 meters.