Core Academic Skills Assessment Math 4 — Questions and Answers
Question 1: A savings account earns simple interest at 4% per year. If $2,500 is deposited, how much interest is earned after 3 years?
- $100
- $200
- $300 (Correct answer)
- $400
Correct answer: $300
I = P × r × t = 2500 × 0.04 × 3 = $300.
Question 2: Which of the following is a solution to x² − 5x + 6 = 0?
- x = 1
- x = 2 (Correct answer)
- x = 4
- x = 6
Correct answer: x = 2
x² − 5x + 6 = (x−2)(x−3) = 0, so x = 2 or x = 3.
Question 3: A cylindrical can has a radius of 3 inches and a height of 10 inches. What is its volume? (Use π ≈ 3.14)
- 94.2 in³
- 188.4 in³
- 282.6 in³ (Correct answer)
- 376.8 in³
Correct answer: 282.6 in³
V = πr²h = 3.14 × 9 × 10 = 282.6 in³.
Question 4: If the ratio of boys to girls in a class is 3:5 and there are 40 students total, how many are girls?
- 15
- 20
- 25 (Correct answer)
- 30
Correct answer: 25
Girls = 5/(3+5) × 40 = 5/8 × 40 = 25.
Question 5: Which number is irrational?
- √16
- 0.333…
- √7 (Correct answer)
- 3/4
Correct answer: √7
√7 cannot be expressed as a ratio of integers and its decimal does not terminate or repeat.
Question 6: A worker earns $18 per hour and works 37.5 hours per week. What is her gross weekly pay?
- $630.00
- $657.00
- $675.00 (Correct answer)
- $720.00
Correct answer: $675.00
$18 × 37.5 = $675.00.
Question 7: Evaluate: 4 + 3² × 2 − (6 ÷ 3)
- 18
- 20 (Correct answer)
- 22
- 24
Correct answer: 20
Follow PEMDAS: 4 + 9 × 2 − 2 = 4 + 18 − 2 = 20.
Core Academic Skills Assessment Math 4
A savings account earns simple interest at 4% per year.
If $2,500 is deposited, how much interest is earned after 3 years?