West B Test Mathematics 5 — Questions and Answers
Question 1: A recipe requires 2¼ cups of flour. If you want to make 1.5 times the recipe, how many cups do you need?
- 3 cups
- 3¾ cups
- 3⅜ cups (Correct answer)
- 4 cups
Correct answer: 3⅜ cups
2¼ = 2.25; 2.25 × 1.5 = 3.375 = 3⅜ cups.
Question 2: Which of the following represents 4.2 × 10³ in standard notation?
- 0.0042
- 420
- 4,200 (Correct answer)
- 42,000
Correct answer: 4,200
10³ = 1,000, so 4.2 × 1,000 = 4,200.
Question 3: The mean of five test scores is 78. Four of the scores are 70, 82, 75, and 85. What is the fifth score?
- 76
- 80
- 78 (Correct answer)
- 72
Correct answer: 78
Sum = 78 × 5 = 390; fifth score = 390 − (70+82+75+85) = 390 − 312 = 78.
Question 4: A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)
- 94.2 cm³
- 282.6 cm³ (Correct answer)
- 188.4 cm³
- 942 cm³
Correct answer: 282.6 cm³
V = πr²h = 3.14 × 9 × 10 = 282.6 cm³.
Question 5: Which of the following is equivalent to (−2)³?
- 6
- −8 (Correct answer)
- 8
- −6
Correct answer: −8
(−2)³ = (−2) × (−2) × (−2) = 4 × (−2) = −8.
Question 6: A line passes through the points (0, 3) and (2, 7). What is its slope?
- 2 (Correct answer)
- 4
- 3
- 1
Correct answer: 2
Slope = (7−3)/(2−0) = 4/2 = 2.
Question 7: Which measure of central tendency is most affected by an outlier in a data set?
- Mode
- Median
- Mean (Correct answer)
- Range
Correct answer: Mean
The mean is calculated using all values, so a very high or low outlier significantly shifts it.
A recipe requires 2¼ cups of flour.
If you want to make 1.5 times the recipe, how many cups do you need?