ERB Mathematical Reasoning 2 — Questions and Answers
Question 1: On an ERB math problem, if a train travels 180 miles in 3 hours, what is its average speed?
- 45 mph
- 54 mph
- 60 mph (Correct answer)
- 90 mph
Correct answer: 60 mph
Average speed = distance ÷ time = 180 ÷ 3 = 60 mph.
Question 2: What is the area of a rectangle with length 12 and width 7?
- 19
- 38
- 84 (Correct answer)
- 96
Correct answer: 84
The area of a rectangle = length × width = 12 × 7 = 84 square units.
Question 3: Which expression equals (x²)(x³)?
- x⁵ (Correct answer)
- x⁶
- 2x⁵
- x
Correct answer: x⁵
When multiplying exponents with the same base, add the powers: x² × x³ = x^(2+3) = x⁵.
Question 4: If a bag contains 4 red marbles and 6 blue marbles, what is the probability of drawing a red marble?
- 2/5 (Correct answer)
- 3/5
- 4/6
- 1/4
Correct answer: 2/5
Probability = favorable outcomes / total outcomes = 4 / (4+6) = 4/10 = 2/5.
Question 5: What is the perimeter of a square with side length 9?
- 18
- 27
- 36 (Correct answer)
- 81
Correct answer: 36
The perimeter of a square = 4 × side length = 4 × 9 = 36 units.
Question 6: On ERB math, if y = 3x + 2 and x = 4, what is y?
- 10
- 12
- 14 (Correct answer)
- 16
Correct answer: 14
Substitute x = 4 into the equation: y = 3(4) + 2 = 12 + 2 = 14.
ERB Mathematical Reasoning 2
On an ERB math problem, if a train travels 180 miles in 3 hours, what is its average speed?