MoGEA Test Number Sense and Operations 2 — Questions and Answers
Question 1: What is 2³ × 2²?
- 2⁵ (Correct answer)
- 2⁶
- 4⁵
- 4⁶
Correct answer: 2⁵
When multiplying powers with the same base, add the exponents: 2³ × 2² = 2^(3+2) = 2⁵.
Question 2: What is the greatest common factor (GCF) of 36 and 48?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
The GCF of 36 and 48 is 12 because 12 is the largest number that divides evenly into both.
Question 3: Which correctly orders these numbers from least to greatest: 0.45, 1/3, 3/8?
- 1/3, 3/8, 0.45 (Correct answer)
- 3/8, 1/3, 0.45
- 0.45, 1/3, 3/8
- 1/3, 0.45, 3/8
Correct answer: 1/3, 3/8, 0.45
Converting to decimals: 1/3 ≈ 0.333, 3/8 = 0.375, 0.45, so the order from least to greatest is 1/3 < 3/8 < 0.45.
Question 4: A recipe requires 2½ cups of flour. If you want to make 1½ times the recipe, how much flour do you need?
- 3 cups
- 3¾ cups (Correct answer)
- 4 cups
- 4½ cups
Correct answer: 3¾ cups
2½ × 1½ = 5/2 × 3/2 = 15/4 = 3¾ cups.
Question 5: If a car travels 180 miles in 3 hours, what is its average speed?
- 54 mph
- 60 mph (Correct answer)
- 63 mph
- 70 mph
Correct answer: 60 mph
Speed = distance ÷ time = 180 ÷ 3 = 60 mph.
Question 6: Which expression is equivalent to 5(2x + 3)?
- 7x + 8
- 10x + 3
- 10x + 15 (Correct answer)
- 10x + 8
Correct answer: 10x + 15
Distributing 5 across the parentheses: 5 × 2x = 10x and 5 × 3 = 15, giving 10x + 15.
MoGEA Test Number Sense and Operations 2
What is 2³ × 2²?