Crossover Aptitude Test Math 4

Question 1

What is the slope of the line passing through (2, 5) and (6, 13)?

Accepted Answer

2

Answer

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?

Accepted Answer

12 feet

Answer

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?

Accepted Answer

54

Answer

The number = 48 × (3/2) = 72; (3/4) × 72 = 54.

Question 4

Which expression equals (a + b)²?

Accepted Answer

a² + 2ab + b²

Answer

(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?

Accepted Answer

7

Answer

In an ordered set of 5 values, the median is the 3rd value: 7.

Crossover Aptitude Test Practice Test