NCAE Mathematical Ability Flashcards
6 cards from real NCAE practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 NCAE Mathematical Ability flashcards as text
Simplify: 4(2x + 3) - 2(x - 1)
Answer: 6x + 14
Distribute: 4(2x + 3) = 8x + 12 and -2(x - 1) = -2x + 2. Combine like terms: 8x - 2x + 12 + 2 = 6x + 14.
A student scored 85, 90, 78, and 95 on four tests. What is the average score?
Answer: 87.5
The average is the sum divided by the count: (85 + 90 + 78 + 95) ÷ 4 = 348 ÷ 4 = 87.
What is the greatest common factor (GCF) of 24 and 36?
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.
If a bus travels at 60 km/h for 2.5 hours, how far does it travel?
Answer: 150 km
Distance = Speed × Time = 60 km/h × 2.5 hours = 150 km.
What is the value of 2³ × 3²?
Answer: 72
2³ = 2 × 2 × 2 = 8. 3² = 3 × 3 = 9. Then 8 × 9 = 72.
A triangle has angles measuring 45° and 65°. What is the measure of the third angle?
Answer: 70°
The sum of angles in a triangle is 180°. So the third angle = 180° - 45° - 65° = 70°.