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Quantitative Reasoning Flashcards

7 cards from real Rise Placement Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Quantitative Reasoning flashcards as text
  1. A line passes through the points (2, 5) and (6, 13). What is the slope of the line?

    Answer: 2

    Slope = (13 − 5) / (6 − 2) = 8/4 = 2.

  2. If the sales tax rate is 7.5%, what is the total cost of a $240 item after tax?

    Answer: $258.00

    Tax = 240 × 0.075 = $18; total = 240 + 18 = $258.

  3. Which of the following is an example of a rational number that is NOT an integer?

    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.

  4. A box plot shows a data set with Q1 = 20, median = 30, Q3 = 45. What is the interquartile range (IQR)?

    Answer: 25

    IQR = Q3 − Q1 = 45 − 20 = 25.

  5. Simplify: (x² · x⁵) / x³

    Answer: x⁴

    x² · x⁵ = x⁷; x⁷ / x³ = x⁴.

  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?

    Answer: 89

    Total needed = 85 × 5 = 425; current total = 78+85+91+82 = 336; fifth score = 425 − 336 = 89.

  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?

    Answer: 115°

    Co-interior angles (also called consecutive interior angles) are supplementary, so 180° − 65° = 115°.