Practice Test GeeksCalifornia High School Proficiency Exam Practice Test
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Mathematics Flashcards

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

Read the first 7 Mathematics flashcards as text

  1. Which number is irrational?

    Answer: √20

    √20 cannot be expressed as a fraction because 20 is not a perfect square.

  2. Solve for y: 4y − 7 = 2y + 9

    Answer: y = 8

    4y − 2y = 9 + 7 → 2y = 16 → y = 8.

  3. A car travels 180 miles in 3 hours. At this rate, how long will it take to travel 270 miles?

    Answer: 4.5 hours

    Speed = 60 mph; 270 ÷ 60 = 4.5 hours.

  4. What is the median of the data set: 7, 12, 3, 19, 5, 8, 15?

    Answer: 8

    Ordered: 3, 5, 7, 8, 12, 15, 19 — the middle value is 8.

  5. If f(x) = 2x² − 3, what is f(−3)?

    Answer: 15

    f(−3) = 2(−3)² − 3 = 2(9) − 3 = 18 − 3 = 15.

  6. Two supplementary angles are in a ratio of 2:7. What is the measure of the larger angle?

    Answer: 140°

    Supplementary angles sum to 180°; larger = (7/9) × 180° = 140°.

  7. A bag contains 4 red, 5 blue, and 3 green marbles. What is the probability of randomly drawing a blue marble?

    Answer: 5/12

    Total marbles = 12; P(blue) = 5/12.