IMSA Ratios, Proportions, and Percentages 3

Question 1

If 40% of a number equals 28, what is the number?

Accepted Answer

70

Answer

56

Answer

84

Answer

63

Question 2

In a proportion a/b = c/d, which of the following must always be true?

Accepted Answer

a × d = b × c

Answer

a × b = c × d

Answer

a + b = c + d

Answer

a − b = c − d

Question 3

A student scored 72 out of 90 on a test. What percentage did the student score?

Accepted Answer

80%

Answer

78%

Answer

82%

Answer

75%

Question 4

Two numbers are in the ratio 4:7. Their sum is 99. What is the larger number?

Accepted Answer

63

Answer

36

Answer

56

Answer

49

Question 5

A tank is 40% full. After adding 30 liters, it becomes 70% full. What is the total capacity of the tank?

Accepted Answer

100 liters

Answer

80 liters

Answer

90 liters

Answer

75 liters

Question 6

An item costs $45 after a 25% discount. What was the original price?

Accepted Answer

$60

Answer

$56.25

Answer

$57

Answer

$54

Question 7

The ratio of A to B is 3:5 and the ratio of B to C is 4:7. What is the ratio of A to C?

Accepted Answer

12:35

Answer

3:7

Answer

4:15

Answer

7:12