Core Academic Skills Assessment Math 3 — Questions and Answers
Question 1: What is 15% of 320?
- 42
- 48 (Correct answer)
- 52
- 64
Correct answer: 48
320 × 0.15 = 48.
Question 2: Simplify: (x² − 9)/(x − 3)
- x − 3
- x + 3 (Correct answer)
- x² + 3
- x + 9
Correct answer: x + 3
x² − 9 factors as (x+3)(x−3); dividing by (x−3) gives x + 3.
Question 3: A car travels 270 miles in 4.5 hours. What is its average speed in miles per hour?
- 55 mph
- 60 mph (Correct answer)
- 65 mph
- 70 mph
Correct answer: 60 mph
Speed = 270 ÷ 4.5 = 60 mph.
Question 4: What is the median of the data set: 7, 12, 3, 19, 5, 14, 8?
- 7
- 8 (Correct answer)
- 12
- 14
Correct answer: 8
Ordered: 3, 5, 7, 8, 12, 14, 19 — the middle value is 8.
Question 5: If f(x) = 2x² − 3, what is f(−2)?
- −11
- 5 (Correct answer)
- −5
- 11
Correct answer: 5
f(−2) = 2(4) − 3 = 8 − 3 = 5.
Question 6: A triangle has angles measuring 45°, 75°, and x°. What is x?
- 55°
- 60° (Correct answer)
- 70°
- 80°
Correct answer: 60°
The sum of angles in a triangle is 180°; x = 180 − 45 − 75 = 60°.
Question 7: Which inequality represents 'a number decreased by 7 is at most 15'?
- n − 7 < 15
- n − 7 ≤ 15 (Correct answer)
- n + 7 ≤ 15
- n − 7 ≥ 15
Correct answer: n − 7 ≤ 15
'At most' means ≤, and 'decreased by 7' means − 7, giving n − 7 ≤ 15.
