1. Understanding Fractions, Decimals, and Percentages
Fractions, decimals, and percentages are essential components of numerical ability tests. Understanding how to convert between these forms is crucial for solving various problems in the Civil Service Exam.
Common Fractions
- 1/8 = 0.125 = 12.5%
- 3/8 = 0.375 = 37.5%
- 1/6 ≈ 0.167 = 16.67%
- 5/6 ≈ 0.833 = 83.33%
- 1/12 ≈ 0.083 = 8.33%
2. Fast Conversion Techniques
To convert between fractions, decimals, and percentages, follow these simple techniques:
- To convert a fraction to a decimal, divide the numerator by the denominator.
- To convert a decimal to a percentage, multiply by 100.
- To convert a fraction to a percentage, first convert it to a decimal and then multiply by 100.
3. Sample Practice Questions & Rationalizations
Question 1: What is 1/8 as a percentage?
A) 10% B) 12.5% C) 15% D) 20%
Answer: B) 12.5% Rationalization: 1 divided by 8 equals 0.125, and multiplying by 100 gives 12.5%.
Question 2: If an item originally priced at PHP 200 is discounted by 25%, what is the sale price?
A) PHP 150 B) PHP 160 C) PHP 175 D) PHP 180
Answer: A) PHP 150 Rationalization: A 25% discount on 200 is 50; thus, 200 - 50 = 150.
Question 3: Convert 0.375 to a fraction.
A) 3/8 B) 1/4 C) 1/3 D) 2/5
Answer: A) 3/8 Rationalization: 0.375 is the same as 375/1000, which simplifies to 3/8.
Question 4: What is the percentage increase if a price rises from PHP 150 to PHP 180?
A) 20% B) 15% C) 25% D) 30%
Answer: A) 20% Rationalization: The increase is 30; thus, (30/150) * 100 = 20%.
4. Key Traps to Avoid & Test Day Tips
Be aware of common percentage traps, such as confusing percentage increase with percentage decrease. Also, practice successive discounts, as they can be tricky. Make sure to manage your time wisely during the exam, and utilize the free Civil Service Reviewer 2027 app for additional practice.
Ace the 2027 Philippine Civil Service Exam on Your First Try
Practice with 10,000+ updated questions, randomized mock exams, timed sub-tests, and instant explanations in the Civil Service Reviewer 2027 mobile app.
