NFST Mathematical Reasoning 3 — Questions and Answers
Question 1: If 5x − 3 = 2x + 12, what is the value of x?
- 5 (Correct answer)
- 3
- 4
- 6
Correct answer: 5
5x − 2x = 12 + 3 → 3x = 15 → x = 5.
Question 2: A rectangle has a perimeter of 54 cm and a length of 18 cm. What is its width?
- 9 cm (Correct answer)
- 12 cm
- 6 cm
- 15 cm
Correct answer: 9 cm
Perimeter = 2(l + w): 54 = 2(18 + w) → w = 9 cm.
Question 3: The ratio of boys to girls in a class is 3:4. If there are 28 students, how many are boys?
- 12 (Correct answer)
- 16
- 14
- 10
Correct answer: 12
Boys = (3/7) × 28 = 12.
Question 4: What is the slope of the line passing through (2, 5) and (6, 13)?
- 2 (Correct answer)
- 3
- 4
- 1.5
Correct answer: 2
Slope = (13 − 5)/(6 − 2) = 8/4 = 2.
Question 5: A circle has a radius of 7 cm. What is its area? (Use π ≈ 3.14)
- 153.86 cm² (Correct answer)
- 43.96 cm²
- 49 cm²
- 98 cm²
Correct answer: 153.86 cm²
Area = π r² = 3.14 × 49 ≈ 153.86 cm².
Question 6: Simplify: 4(3x − 2) − 2(x + 5)
- 10x − 18 (Correct answer)
- 10x + 2
- 12x − 18
- 10x − 2
Correct answer: 10x − 18
12x − 8 − 2x − 10 = 10x − 18.
Question 7: Which of the following is a prime number?
- 37 (Correct answer)
- 39
- 33
- 35
Correct answer: 37
37 has no factors other than 1 and itself; the others are divisible by 3, 7, or 5.
NFST Mathematical Reasoning 3
If 5x − 3 = 2x + 12, what is the value of x?