CHSPE Mathematics 3 — Questions and Answers
Question 1: Which number is irrational?
- √16
- √25
- √36
- √20 (Correct answer)
Correct answer: √20
√20 cannot be expressed as a fraction because 20 is not a perfect square.
Question 2: Solve for y: 4y − 7 = 2y + 9
- y = 2
- y = 5
- y = 8 (Correct answer)
- y = 16
Correct answer: y = 8
4y − 2y = 9 + 7 → 2y = 16 → y = 8.
Question 3: A car travels 180 miles in 3 hours. At this rate, how long will it take to travel 270 miles?
- 3.5 hours
- 4 hours
- 4.5 hours (Correct answer)
- 5 hours
Correct answer: 4.5 hours
Speed = 60 mph; 270 ÷ 60 = 4.5 hours.
Question 4: What is the median of the data set: 7, 12, 3, 19, 5, 8, 15?
- 7
- 8 (Correct answer)
- 12
- 15
Correct answer: 8
Ordered: 3, 5, 7, 8, 12, 15, 19 — the middle value is 8.
Question 5: If f(x) = 2x² − 3, what is f(−3)?
- −21
- −15
- 15 (Correct answer)
- 21
Correct answer: 15
f(−3) = 2(−3)² − 3 = 2(9) − 3 = 18 − 3 = 15.
Question 6: Two supplementary angles are in a ratio of 2:7. What is the measure of the larger angle?
- 40°
- 120°
- 140° (Correct answer)
- 160°
Correct answer: 140°
Supplementary angles sum to 180°; larger = (7/9) × 180° = 140°.
Question 7: A bag contains 4 red, 5 blue, and 3 green marbles. What is the probability of randomly drawing a blue marble?
- 1/4
- 5/16
- 5/12 (Correct answer)
- 1/3
Correct answer: 5/12
Total marbles = 12; P(blue) = 5/12.
CHSPE Mathematics 3
Which number is irrational?