PSSA Mathematics 3 — Questions and Answers
Question 1: What is the least common multiple (LCM) of 4 and 6?
- 12 (Correct answer)
- 6
- 24
- 8
Correct answer: 12
Multiples of 4: 4, 8, 12… Multiples of 6: 6, 12… The LCM is 12.
Question 2: A bag contains 3 red marbles, 5 blue marbles, and 2 green marbles. What is the probability of randomly selecting a blue marble?
- 1/2 (Correct answer)
- 1/3
- 1/5
- 3/10
Correct answer: 1/2
There are 5 blue out of 10 total marbles, so probability = 5/10 = 1/2.
Question 3: Which expression represents 'the product of 7 and a number n, decreased by 4'?
- 7n − 4 (Correct answer)
- 7 + n − 4
- 4 − 7n
- 7(n − 4)
Correct answer: 7n − 4
'Product of 7 and n' is 7n; 'decreased by 4' means subtract 4, giving 7n − 4.
Question 4: A car travels 240 miles in 4 hours. What is the car's average speed in miles per hour?
- 60 mph (Correct answer)
- 50 mph
- 80 mph
- 40 mph
Correct answer: 60 mph
Speed = distance ÷ time = 240 ÷ 4 = 60 mph.
Question 5: Which set of numbers is ordered from least to greatest?
- −5, −1, 0, 3, 7 (Correct answer)
- −1, −5, 0, 3, 7
- 0, −1, −5, 3, 7
- 3, 7, 0, −1, −5
Correct answer: −5, −1, 0, 3, 7
From least to greatest: −5 < −1 < 0 < 3 < 7.
Question 6: What is the perimeter of a square with a side length of 9 inches?
- 36 inches (Correct answer)
- 18 inches
- 81 inches
- 27 inches
Correct answer: 36 inches
Perimeter of a square = 4 × side = 4 × 9 = 36 inches.
Question 7: Solve for x: 2x + 8 = 20
- 6 (Correct answer)
- 4
- 14
- 10
Correct answer: 6
Subtract 8 from both sides: 2x = 12; divide by 2: x = 6.
PSSA Mathematics 3
What is the least common multiple (LCM) of 4 and 6?