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Ratio and Proportion Quiz

Authored by Sethu Ram

Education

Professional Development

Used 1+ times

Ratio and Proportion Quiz
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33 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If y : 196 :: 196 : 784, then what is the value of y?

16

49

7

4

Answer explanation

The relationship is that 196 is the square of 14 (14^2 = 196), and 784 is the square of 28 (28^2 = 784). Therefore, y must be the square of 7 (7^2 = 49) to maintain the same relationship. Thus, y = 49.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If 144 : y :: y : 225, and y > 0, find the value of y.

130

210

120

180

Answer explanation

To solve 144 : y :: y : 225, we set up the proportion 144/y = y/225. Cross-multiplying gives 144 * 225 = y^2. Calculating this, y^2 = 32400, so y = 180 (since y > 0). Thus, the correct answer is 180.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If 144 : b :: b : 36, and b > 0, find the value of b.

12

36

27

72

Answer explanation

To solve 144 : b :: b : 36, we set up the proportion 144/b = b/36. Cross-multiplying gives 144 * 36 = b^2. Thus, b^2 = 5184, leading to b = 72 (since b > 0). Therefore, the correct answer is 72.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If 1.6 : 0.6 :: 0.6 : x, find the value of x.

0.98

0.25

0.275

0.225

Answer explanation

To solve the proportion 1.6 : 0.6 :: 0.6 : x, we can set up the equation 1.6/0.6 = 0.6/x. Cross-multiplying gives 1.6x = 0.36. Solving for x, we find x = 0.225. Thus, the correct answer is 0.225.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the fourth proportion of the 15, 10 and 12.

6

12

10

8

Answer explanation

To find the fourth proportion of 15, 10, and 12, use the formula: (b * c) / a = x. Here, x = (10 * 12) / 15 = 8. Thus, the fourth proportion is 8.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If 48 : x :: x : 75, and x > 0, then what is the value of x?

60

63

57

51

Answer explanation

To solve 48 : x :: x : 75, we set up the proportion 48/x = x/75. Cross-multiplying gives 48 * 75 = x^2. Thus, x^2 = 3600, leading to x = 60 (since x > 0). Therefore, the correct answer is 60.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the compound ratio of 45 : 75, 3 : 5, 51 : 68 and 256 : 81?

64/75

32/45

128/75

75/32

Answer explanation

To find the compound ratio, multiply the ratios: (45/75) * (3/5) * (51/68) * (256/81). Simplifying gives 64/75, which is the correct answer.

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