Apply Proportion to Scale Models 11.2

Apply Proportion to Scale Models 11.2

9th Grade

20 Qs

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Apply Proportion to Scale Models 11.2

Apply Proportion to Scale Models 11.2

Assessment

Quiz

Mathematics

9th Grade

Practice Problem

Medium

Created by

Omar Alajarmeh

Used 2+ times

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Solve for x

x=6

x =1/6

x = 7

x=9

Answer explanation

To solve for x, we can set up the equation based on the problem context. After simplifying, we find that x = 6 is the solution that satisfies the equation, making it the correct choice.

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

The pair of figures is similar. Find the missing side.

x = 20

x = 12

x = 5

x = 4

Answer explanation

Since the figures are similar, the ratios of corresponding sides are equal. By setting up the proportion and solving for x, we find that x = 5 is the correct answer, matching the ratio of the known sides.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Using 2 in = 35 miles, solve:  The distance between Troy City and Ben City is 315 miles. How far apart are they on the map?

18 miles

18 inches

5512.5 inches

5512.5 miles

Answer explanation

To find the map distance, use the ratio: 2 inches = 35 miles. For 315 miles, set up the proportion: (2 inches / 35 miles) = (x inches / 315 miles). Solving gives x = 18 inches, so they are 18 inches apart on the map.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A model of a car has a scale of 3 cm: 2 m. The length of the actual hood of the car is 1 m. What is the length of the hood of the model?

1.5 m

1.5 cm

15 cm

6 cm

Answer explanation

The scale 3 cm: 2 m means 3 cm on the model represents 2 m in reality. To find the model hood length for a 1 m actual hood, set up a proportion: (3 cm / 2 m) = (x cm / 1 m). Solving gives x = 1.5 cm.

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?

9ft x 10ft

1ft x 2ft

12ft x 6ft

18ft x 20ft

Answer explanation

To find the actual dimensions, use the scale: 6cm = 12ft. Thus, 1cm = 2ft. For the drawing 9cm x 10cm, the actual dimensions are 9cm x 2ft/cm = 18ft and 10cm x 2ft/cm = 20ft. Therefore, the actual dimensions are 18ft x 20ft.

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

14 in 

7 in

42 in

56 in

Answer explanation

To convert the actual width of 49 ft to the drawing, use the scale 1 in = 7 ft. Divide 49 ft by 7 ft/in: 49 ÷ 7 = 7 in. Thus, the width in the drawing is 7 in.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

From Denver to Chicago = 3 in. If the scale is 1 in = 300 miles, find the actual distance.

300 miles

1000 miles

900 miles

600 miles

Answer explanation

To find the actual distance, multiply the scale distance by the scale factor: 3 in. x 300 miles/in. = 900 miles. Therefore, the actual distance from Denver to Chicago is 900 miles.

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