NCAE Mathematical Ability 2 — Questions and Answers
Question 1: Simplify: 4(2x + 3) - 2(x - 1)
- 6x + 14 (Correct answer)
- 6x + 10
- 10x + 14
- 6x + 12
Correct answer: 6x + 14
Distribute: 4(2x + 3) = 8x + 12 and -2(x - 1) = -2x + 2. Combine like terms: 8x - 2x + 12 + 2 = 6x + 14.
Question 2: A student scored 85, 90, 78, and 95 on four tests. What is the average score?
- 86
- 87
- 87.5 (Correct answer)
- 87.0
Correct answer: 87.5
The average is the sum divided by the count: (85 + 90 + 78 + 95) ÷ 4 = 348 ÷ 4 = 87.
Question 3: What is the greatest common factor (GCF) of 24 and 36?
- 6
- 12 (Correct answer)
- 8
- 4
Correct answer: 12
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. The greatest factor they share is 12.
Question 4: If a bus travels at 60 km/h for 2.5 hours, how far does it travel?
- 120 km
- 150 km (Correct answer)
- 130 km
- 180 km
Correct answer: 150 km
Distance = Speed × Time = 60 km/h × 2.5 hours = 150 km.
Question 5: What is the value of 2³ × 3²?
- 36
- 72 (Correct answer)
- 48
- 54
Correct answer: 72
2³ = 2 × 2 × 2 = 8. 3² = 3 × 3 = 9. Then 8 × 9 = 72.
Question 6: A triangle has angles measuring 45° and 65°. What is the measure of the third angle?
- 80°
- 70° (Correct answer)
- 60°
- 75°
Correct answer: 70°
The sum of angles in a triangle is 180°. So the third angle = 180° - 45° - 65° = 70°.
NCAE Mathematical Ability 2
Simplify: 4(2x + 3) - 2(x - 1)