BMST - Basic Math and Science Ratios, Proportions, and Percentages Questions and Answers 4

Question 1

A store increases a price from $50 to $65. What is the percentage increase?

Accepted Answer

30%

Answer

Percentage increase = (65 − 50) / 50 × 100 = 15/50 × 100 = 30%.

Question 2

Two gears have a tooth ratio of 3:8. If the smaller gear rotates 40 times, how many times does the larger gear rotate?

Accepted Answer

15 times

Answer

3/8 = 40/x → x = 40 × 8 / 3 ... actually gear ratios are inverse: larger gear turns = 40 × 3/8 = 15 times.

Question 3

On a map, 2 centimeters represents 50 kilometers. How many centimeters represent 175 kilometers?

Accepted Answer

7 cm

Answer

2/50 = x/175 → x = 2 × 175 / 50 = 7 cm.

Question 4

A student scored 78 out of 120 on a test. What percentage did the student score, rounded to the nearest whole number?

Accepted Answer

65%

Answer

78 / 120 × 100 = 65%.

Question 5

A mixture contains 3 parts water to 1 part concentrate. To make 32 ounces of mixture, how many ounces of concentrate are needed?

Accepted Answer

8 oz

Answer

Total parts = 4; concentrate = 1/4 × 32 = 8 ounces.

BMST - Basic Math and Science Test Practice Test