Ratios and Scaling of Geometric Figures Quiz

Test your understanding of ratios in geometric figures with this quiz covering ratio analysis, scales, areas, volumes, and more.

#1

Which of the following is a ratio?

5 meters
2:3
10 square units
15%
1 answered
#2

14. The perimeter of a square is 36 cm. What is the length of one side of the square?

6 cm
9 cm
12 cm
18 cm
#3

20. The circumference of a circle is 36 cm. What is the radius of the circle?

6 cm
9 cm
12 cm
18 cm
#4

If the scale factor of two similar figures is 3:4, what is the ratio of their areas?

9:16
3:4
16:9
12:16
1 answered
#5

In a rectangle, if the length is doubled and the width is halved, what is the effect on the ratio of length to width?

Remains the same
Doubles
Halves
Quadruples
#6

6. The volumes of two similar cubes are in the ratio 8:27. What is the ratio of their side lengths?

2:3
1:2
3:4
4:5
#7

8. A map of a city uses a scale of 1:10,000. If two points on the map are 5 cm apart, what is the actual distance between them in kilometers?

0.05 km
0.5 km
5 km
50 km
#8

10. If the ratio of the areas of two similar triangles is 9:16, and the length of a side of the smaller triangle is 6 cm, what is the length of the corresponding side of the larger triangle?

8 cm
9 cm
12 cm
16 cm
#9

The ratio of the angles in a triangle is 2:3:5. What is the measure of the smallest angle?

20 degrees
30 degrees
40 degrees
50 degrees
#10

If the perimeter of a square is doubled, what is the effect on the ratio of the areas of the original square and the new square?

Remains the same
Doubles
Quadruples
Halves
#11

7. The base of a rectangular prism is in the ratio 2:5, and its height is 8 cm. If the volume is 320 cubic centimeters, what is the length of the base?

4 cm
8 cm
10 cm
16 cm
#12

9. The lengths of the diagonals of a rectangle are in the ratio 1:2. If the length of the shorter diagonal is 6 cm, what is the length of the longer diagonal?

8 cm
10 cm
12 cm
14 cm
#13

11. The angles of a triangle are in the ratio 2:3:5. What is the measure of the smallest angle?

20 degrees
30 degrees
40 degrees
50 degrees

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