BSEP - Basic Skills Education Program Fractions, Decimals, and Percentages Questions and Answers — 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?
- 0.45 and 45%
- 0.90 and 90% (Correct answer)
- 0.85 and 85%
- 4.5 and 450%
Correct answer: 0.90 and 90%
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?
- 3 1/2 kilometers
- 3 3/4 kilometers
- 3 1/4 kilometers (Correct answer)
- 3 2/5 kilometers
Correct answer: 3 1/4 kilometers
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?
- $180
- $1,020 (Correct answer)
- $1,050
- $1,380
Correct answer: $1,020
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)?
- 3/5, 0.65, 70% (Correct answer)
- 0.65, 3/5, 70%
- 3/5, 70%, 0.65
- 70%, 0.65, 3/5
Correct answer: 3/5, 0.65, 70%
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?
- 20%
- 25% (Correct answer)
- 12.5%
- 125%
Correct answer: 25%
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%.
Question 6: A soldier's monthly pay is $2,500. If 1/10 is spent on food and 1/4 is spent on housing, what percentage of the pay is left?
- 35%
- 45%
- 65% (Correct answer)
- 55%
Correct answer: 65%
First, find a common denominator for the fractions 1/10 and 1/4, which is 20. So, 1/10 = 2/20 and 1/4 = 5/20. The total fraction spent is 2/20 + 5/20 = 7/20. The fraction remaining is 1 - 7/20 = 13/20. To convert 13/20 to a percentage, divide 13 by 20 and multiply by 100: (13 ÷ 20) * 100 = 0.65 * 100 = 65%.
BSEP - Basic Skills Education Program Fractions, Decimals, and Percentages Questions and Answers
A soldier correctly answers 45 out of 50 questions on a proficiency test.
What is this score expressed as a decimal and a percentage?