Core Academic Skills Assessment Math 4

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?

Accepted Answer

$300

Answer

I = P × r × t = 2500 × 0.04 × 3 = $300.

Question 2

Which of the following is a solution to x² − 5x + 6 = 0?

Accepted Answer

x = 2

Answer

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)

Accepted Answer

282.6 in³

Answer

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?

Accepted Answer

25

Answer

Girls = 5/(3+5) × 40 = 5/8 × 40 = 25.

Question 5

Which number is irrational?

Accepted Answer

√7

Answer

√7 cannot be expressed as a ratio of integers and its decimal does not terminate or repeat.

Core Academic Skills Assessment Practice Test