MoGEA Test Number Sense and Operations 2

Question 1

What is 2³ × 2²?

Accepted Answer

2⁵

Answer

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?

Accepted Answer

12

Answer

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?

Accepted Answer

1/3, 3/8, 0.45

Answer

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?

Accepted Answer

3¾ cups

Answer

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?

Accepted Answer

60 mph

Answer

Speed = distance ÷ time = 180 ÷ 3 = 60 mph.

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