PSSA Mathematics 4 — Questions and Answers
Question 1: A graph shows a line passing through the points (0, 2) and (3, 8). What is the slope of this line?
- 2 (Correct answer)
- 3
- 1/2
- 6
Correct answer: 2
Slope = (8 − 2) ÷ (3 − 0) = 6 ÷ 3 = 2.
Question 2: Which of the following is a prime number?
- 37 (Correct answer)
- 27
- 49
- 51
Correct answer: 37
37 has no factors other than 1 and itself, making it prime; 27 = 3³, 49 = 7², 51 = 3 × 17.
Question 3: The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many girls are there?
- 40 (Correct answer)
- 32
- 15
- 45
Correct answer: 40
If 3 parts = 24 boys, then 1 part = 8; 5 parts = 5 × 8 = 40 girls.
Question 4: What is 15% of 200?
- 30 (Correct answer)
- 25
- 20
- 35
Correct answer: 30
15% of 200 = 0.15 × 200 = 30.
Question 5: A cylinder has a radius of 5 cm and a height of 10 cm. Using π ≈ 3.14, what is its volume?
- 785 cm³ (Correct answer)
- 314 cm³
- 1,570 cm³
- 250 cm³
Correct answer: 785 cm³
V = πr²h = 3.14 × 25 × 10 = 785 cm³.
Question 6: Which property is illustrated by the equation 5 × (3 + 4) = 5 × 3 + 5 × 4?
- Distributive property (Correct answer)
- Commutative property
- Associative property
- Identity property
Correct answer: Distributive property
The distributive property states that a(b + c) = ab + ac.
Question 7: On a coordinate plane, in which quadrant is the point (−4, 3) located?
- Quadrant II (Correct answer)
- Quadrant I
- Quadrant III
- Quadrant IV
Correct answer: Quadrant II
Quadrant II has negative x-values and positive y-values, which matches (−4, 3).
PSSA Mathematics 4
A graph shows a line passing through the points (0, 2) and (3, 8).
What is the slope of this line?