Crossover Aptitude Test Math 4 — Questions and Answers
Question 1: What is the slope of the line passing through (2, 5) and (6, 13)?
- 1
- 3
- 2 (Correct answer)
- 4
Correct answer: 2
Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.
Question 2: A 13-foot ladder leans against a wall with its base 5 feet from the wall. How high up the wall does it reach?
- 8 feet
- 10 feet
- 12 feet (Correct answer)
- 11 feet
Correct answer: 12 feet
Height = √(13² - 5²) = √(169 - 25) = √144 = 12 feet.
Question 3: If 2/3 of a number is 48, what is 3/4 of that number?
- 54 (Correct answer)
- 72
- 60
- 48
Correct answer: 54
The number = 48 × (3/2) = 72; (3/4) × 72 = 54.
Question 4: Which expression equals (a + b)²?
- a² + b²
- a² + ab + b²
- a² + 2ab + b² (Correct answer)
- 2a² + 2b²
Correct answer: a² + 2ab + b²
(a + b)(a + b) = a² + ab + ab + b² = a² + 2ab + b².
Question 5: A data set contains: 4, 7, 7, 9, 13. What is the median?
- 7 (Correct answer)
- 8
- 9
- 6
Correct answer: 7
In an ordered set of 5 values, the median is the 3rd value: 7.
Question 6: In how many different ways can 4 people be arranged in a line?
- 12
- 16
- 24 (Correct answer)
- 48
Correct answer: 24
4! = 4 × 3 × 2 × 1 = 24.
Question 7: If log₂(x) = 5, what is x?
- 10
- 25
- 32 (Correct answer)
- 64
Correct answer: 32
log₂(x) = 5 means 2⁵ = x = 32.
Crossover Aptitude Test Math 4
What is the slope of the line passing through (2, 5) and (6, 13)?