ERB Mathematical Reasoning 2

Question 1

On an ERB math problem, if a train travels 180 miles in 3 hours, what is its average speed?

Accepted Answer

60 mph

Answer

Average speed = distance ÷ time = 180 ÷ 3 = 60 mph.

Question 2

What is the area of a rectangle with length 12 and width 7?

Accepted Answer

84

Answer

The area of a rectangle = length × width = 12 × 7 = 84 square units.

Question 3

Which expression equals (x²)(x³)?

Accepted Answer

x⁵

Answer

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?

Accepted Answer

2/5

Answer

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?

Accepted Answer

36

Answer

The perimeter of a square = 4 × side length = 4 × 9 = 36 units.

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