Rise Placement Test Quantitative Reasoning 4 — Questions and Answers
Question 1: A line passes through the points (2, 5) and (6, 13). What is the slope of the line?
- 1
- 1.5
- 2 (Correct answer)
- 2.5
Correct answer: 2
Slope = (13 − 5) / (6 − 2) = 8/4 = 2.
Question 2: If the sales tax rate is 7.5%, what is the total cost of a $240 item after tax?
- $247.50
- $252.00
- $257.00
- $258.00 (Correct answer)
Correct answer: $258.00
Tax = 240 × 0.075 = $18; total = 240 + 18 = $258.
Question 3: Which of the following is an example of a rational number that is NOT an integer?
- −5
- 0
- 3/4 (Correct answer)
- √7
Correct answer: 3/4
3/4 is a ratio of two integers and cannot be expressed as a whole number, making it a non-integer rational.
Question 4: A box plot shows a data set with Q1 = 20, median = 30, Q3 = 45. What is the interquartile range (IQR)?
- 10
- 15
- 25 (Correct answer)
- 30
Correct answer: 25
IQR = Q3 − Q1 = 45 − 20 = 25.
Question 5: Simplify: (x² · x⁵) / x³
- x²
- x³
- x⁴ (Correct answer)
- x⁵
Correct answer: x⁴
x² · x⁵ = x⁷; x⁷ / x³ = x⁴.
Question 6: A student scored 78, 85, 91, and 82 on four tests. What score must the student earn on the fifth test to have an average of exactly 85?
- 85
- 87
- 89 (Correct answer)
- 92
Correct answer: 89
Total needed = 85 × 5 = 425; current total = 78+85+91+82 = 336; fifth score = 425 − 336 = 89.
Question 7: Two parallel lines are cut by a transversal. If one interior angle measures 65°, what is the measure of its co-interior (same-side interior) angle?
- 25°
- 65°
- 115° (Correct answer)
- 125°
Correct answer: 115°
Co-interior angles (also called consecutive interior angles) are supplementary, so 180° − 65° = 115°.
Rise Placement Test Quantitative Reasoning 4
A line passes through the points (2, 5) and (6, 13).
What is the slope of the line?