NCAE Mathematical Ability 1 — Questions and Answers
Question 1: What is the value of 3/4 + 2/3?
- 5/7
- 17/12 (Correct answer)
- 5/12
- 1
Correct answer: 17/12
To add fractions with different denominators, find the LCD (12). Convert: 3/4 = 9/12 and 2/3 = 8/12. Then 9/12 + 8/12 = 17/12 or 1 5/12.
Question 2: A store offers a 20% discount on a shirt originally priced at PHP 500. How much will you pay?
- PHP 100
- PHP 400 (Correct answer)
- PHP 450
- PHP 380
Correct answer: PHP 400
A 20% discount on PHP 500 means you save 0.20 × 500 = PHP 100. The sale price is 500 - 100 = PHP 400.
Question 3: What is the next number in the pattern: 2, 6, 18, 54, ___?
- 72
- 108
- 162 (Correct answer)
- 216
Correct answer: 162
Each number is multiplied by 3 to get the next: 2 × 3 = 6, 6 × 3 = 18, 18 × 3 = 54, 54 × 3 = 162. This is a geometric sequence with a common ratio of 3.
Question 4: If x + 7 = 15, what is the value of x?
- 7
- 8 (Correct answer)
- 22
- 9
Correct answer: 8
To solve for x, subtract 7 from both sides: x = 15 - 7 = 8. You can verify by substituting back: 8 + 7 = 15.
Question 5: What is 15% of 200?
- 15
- 30 (Correct answer)
- 35
- 25
Correct answer: 30
To find 15% of 200, multiply: 0.15 × 200 = 30. You can also calculate 10% (20) plus 5% (10) to get 30.
Question 6: A rectangular garden has a length of 12 meters and a width of 8 meters. What is its area?
- 40 square meters
- 96 square meters (Correct answer)
- 20 square meters
- 80 square meters
Correct answer: 96 square meters
The area of a rectangle is calculated by multiplying length by width: 12 × 8 = 96 square meters.
NCAE Mathematical Ability 1
What is the value of 3/4 + 2/3?