Scale Drawing Worksheet

**Page 1**

1.

The scale of the picture is $\frac{1}{2}$ in. : 3 cm. Find the actual length of the flask.

a. | 24 cm | ||

b. | 12 cm | ||

c. | 18 cm | ||

d. | 36 cm |

[Write the proportion.]

[Write the cross products.]

[Simplify.]

The actual length of the flask is 24 cm.

Correct answer : (1)

2.

A model of a dinosaur skeleton was made using a scale of 1 in : 15 in in a museum. If the size of the dinosaur's tail in the model is 8 in, then find the actual length of dinosaur's tail.

a. | 140 in | ||

b. | 110 in | ||

c. | 120 in | ||

d. | 130 in |

[The dimensions of the actual dinosaur will be in proportion to the dimensions of the model.]

[Write the cross products.]

[Simplify.]

So, the actual size of the dinosaur's tail is 120 in.

Correct answer : (3)

3.

The scale of the picture shown is 1 cm : 3 in. Find the actual height of the cup.

a. | 6 in | ||

b. | 5 in | ||

c. | 8 in | ||

d. | 7 in |

[Write the proportion.]

[Write the cross products.]

[Simplify.]

The actual height of the cup is 6 in.

Correct answer : (1)

4.

The scale of the picture shown is 1 inch : 10 cm. What would be the actual height of the penguin?

a. | 34 cm | ||

b. | 38 cm | ||

c. | 30 cm | ||

d. | 26 cm |

[Write the proportion.]

[Write the cross products.]

[Simplify.]

The actual height of the penguin is 30 cm.

Correct answer : (3)

5.

A botany student drew a sketch of a birch tree using a scale of 1 inch : 2 meters . Find the actual height of the tree, if it measures 3 inches in the sketch.

a. | 7 meters | ||

b. | 2 meters | ||

c. | 6 meters | ||

d. | 5 meters |

[Write the proportion.]

[Write the cross products.]

[Simplify.]

The actual height of the birch tree is 6 meters.

Correct answer : (3)

6.

A map is drawn using a scale of 1 inch : 4 meters . If the length of a paved path on the map is 16 inches, then find the actual length of the paved path.

a. | 61 meters | ||

b. | 67 meters | ||

c. | 59 meters | ||

d. | 64 meters |

[Write the proportion.]

[Write the cross products.]

[Simplify.]

The actual length of the paved path is 64 meters.

Correct answer : (4)

7.

A model of a dinosaur skeleton was made using a scale of 1 ft : 10 ft in a museum. If the size of the dinosaur's tail in the model is 4 ft, then find its actual length.

a. | 40 ft | ||

b. | 30 ft | ||

c. | 60 ft | ||

d. | 50 ft |

[The dimensions of the actual dinosaur will be in proportion to the dimensions of the model.]

[Write the cross products.]

[Simplify.]

So, the actual size of the dinosaur's tail is 40 ft.

Correct answer : (1)

8.

A map company used a scale of 1 inch : 380 meters to depict the heights of different mountains. What is the height of a mountain on map, which is actually 3420 meters high?

a. | 12 inches | ||

b. | 9 inches | ||

c. | 11 inches | ||

d. | 10 inches |

[The original height of the mountain should be in proportion with the height of the mountain on map.]

[Write the cross product.]

[Simplify.]

The height of the mountain on the map is 9 inches.

Correct answer : (2)

9.

The scale of the picture shown is 1 cm : 3 in. Find the actual height of the cup.

a. | 5 in | ||

b. | 7 in | ||

c. | 6 in | ||

d. | 8 in |

[Write the proportion.]

[Write the cross products.]

[Simplify.]

The actual height of the cup is 6 in.

Correct answer : (3)

10.

The scale of the picture shown is 1 inch : 10 cm. What would be the actual height of the penguin?

a. | 38 cm | ||

b. | 26 cm | ||

c. | 34 cm | ||

d. | 30 cm |

[Write the proportion.]

[Write the cross products.]

[Simplify.]

The actual height of the penguin is 30 cm.

Correct answer : (4)