West B Test Math: Number Sense and Operations 2 — Questions and Answers
Question 1: Which of the following is an irrational number?
- √9
- 0.333...
- √7 (Correct answer)
- 3/4
Correct answer: √7
√7 cannot be expressed as a ratio of integers and has a non-repeating, non-terminating decimal expansion.
Question 2: What is the value of 3² + 4²?
- 25 (Correct answer)
- 49
- 14
- 30
Correct answer: 25
3² = 9 and 4² = 16, so 9 + 16 = 25.
Question 3: A store sells apples in bags of 6 and oranges in bags of 9. What is the least number of fruit you must buy to have equal numbers of each?
- 15
- 54
- 18 (Correct answer)
- 36
Correct answer: 18
The LCM of 6 and 9 is 18, so you need 18 of each fruit.
Question 4: Which expression is equivalent to 2⁻³?
- -6
- 1/8 (Correct answer)
- -8
- 1/6
Correct answer: 1/8
A negative exponent means take the reciprocal: 2⁻³ = 1/2³ = 1/8.
Question 5: Order from least to greatest: 0.6, 2/3, 5/8
- 5/8, 0.6, 2/3 (Correct answer)
- 0.6, 5/8, 2/3
- 2/3, 5/8, 0.6
- 0.6, 2/3, 5/8
Correct answer: 5/8, 0.6, 2/3
Converting to decimals: 5/8=0.625, 0.6=0.600, 2/3≈0.667, so the order is 5/8, 0.6, 2/3.
Question 6: What is 15% of 240?
- 24
- 36 (Correct answer)
- 16
- 30
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
Question 7: Which property is illustrated by: 5 × (3 + 4) = 5 × 3 + 5 × 4?
- Commutative property
- Associative property
- Distributive property (Correct answer)
- Identity property
Correct answer: Distributive property
The distributive property states that a(b + c) = ab + ac.
Which of the following is an irrational number?