NCAE Mathematical Ability 2

Question 1

Simplify: 4(2x + 3) - 2(x - 1)

Accepted Answer

6x + 14

Answer

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?

Accepted Answer

87.5

Answer

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?

Accepted Answer

12

Answer

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?

Accepted Answer

150 km

Answer

Distance = Speed × Time = 60 km/h × 2.5 hours = 150 km.

Question 5

What is the value of 2³ × 3²?

Accepted Answer

72

Answer

2³ = 2 × 2 × 2 = 8. 3² = 3 × 3 = 9. Then 8 × 9 = 72.

(NCAE) National Career Assessment Examination Practice Test