BSEP - Basic Skills Education Program Fractions, Decimals, and Percentages Questions and Answers

Question 1

A soldier correctly answers 45 out of 50 questions on a proficiency test. What is this score expressed as a decimal and a percentage?

Accepted Answer

0.90 and 90%

Answer

To convert the fraction 45/50 to a decimal, divide the numerator by the denominator: 45 ÷ 50 = 0.90. To convert the decimal 0.90 to a percentage, multiply by 100: 0.90 * 100 = 90%.

Question 2

During a land navigation course, a participant travels 3.25 kilometers. Which of the following expresses this distance as a mixed number?

Accepted Answer

3 1/4 kilometers

Answer

The whole number part of the decimal is 3. The decimal part is 0.25, which is equivalent to the fraction 25/100. This fraction can be simplified to 1/4. Combining the whole number and the fraction gives the mixed number 3 1/4.

Question 3

A piece of equipment originally costing $1,200 is sold at a 15% discount. What is the final sale price?

Accepted Answer

$1,020

Answer

First, calculate the discount amount by converting the percentage to a decimal and multiplying by the original price: 0.15 * $1,200 = $180. Then, subtract the discount from the original price to find the sale price: $1,200 - $180 = $1,020.

Question 4

Which of the following lists the numbers in ascending order (smallest to largest)?

Accepted Answer

3/5, 0.65, 70%

Answer

To compare the numbers, convert them all to the same format. As decimals: 3/5 = 0.60; 0.65 remains 0.65; 70% = 0.70. The correct ascending order is 0.60, 0.65, 0.70, which corresponds to 3/5, 0.65, 70%.

Question 5

A unit's strength increases from 80 soldiers to 100 soldiers. What is the percentage increase in strength?

Accepted Answer

25%

Answer

First, find the amount of increase: 100 - 80 = 20 soldiers. Then, calculate the percentage increase by dividing the increase amount by the original number and multiplying by 100: (20 / 80) * 100 = 0.25 * 100 = 25%.

BSEP - Basic Skills Education Program Practice Test

BSEP - Basic Skills Education Program Practice Test

BSEP - Basic Skills Education Program Fractions, Decimals, and Percentages Questions and Answers