HSPT Mathematics 2 — Questions and Answers
Question 1: What is the probability of rolling a 3 or a 5 on a standard six-sided die?
- 1/6
- 1/3 (Correct answer)
- 1/2
- 2/3
Correct answer: 1/3
There are 2 favorable outcomes (3 and 5) out of 6 possible outcomes: 2/6 = 1/3.
Question 2: A train leaves at 2:15 PM and arrives at 5:45 PM. How long is the trip?
- 3 hours
- 3 hours 15 minutes
- 3 hours 30 minutes (Correct answer)
- 3 hours 45 minutes
Correct answer: 3 hours 30 minutes
From 2:15 to 5:15 is 3 hours. From 5:15 to 5:45 is 30 more minutes. Total: 3 hours 30 minutes.
Question 3: What is the square root of 144?
- 11
- 12 (Correct answer)
- 13
- 14
Correct answer: 12
12 × 12 = 144, so √144 = 12.
Question 4: Convert 3/5 to a percentage.
- 35%
- 53%
- 60% (Correct answer)
- 65%
Correct answer: 60%
3/5 = 0.6 = 60%. Divide the numerator by the denominator and multiply by 100.
Question 5: If the ratio of boys to girls in a class is 3:5 and there are 24 students total, how many girls are there?
- 9
- 12
- 15 (Correct answer)
- 18
Correct answer: 15
Total parts = 3 + 5 = 8. Each part = 24/8 = 3. Girls = 5 × 3 = 15.
Question 6: What is the order of operations for: 3 + 4 × 2 - 1?
- 13
- 10 (Correct answer)
- 14
- 12
Correct answer: 10
Following PEMDAS: multiplication first: 4 × 2 = 8. Then left to right: 3 + 8 - 1 = 10.
What is the probability of rolling a 3 or a 5 on a standard six-sided die?