HSPT Mathematics 2

Question 1

What is the probability of rolling a 3 or a 5 on a standard six-sided die?

Accepted Answer

1/3

Answer

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?

Accepted Answer

3 hours 30 minutes

Answer

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?

Accepted Answer

12

Answer

12 × 12 = 144, so √144 = 12.

Question 4

Convert 3/5 to a percentage.

Accepted Answer

60%

Answer

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?

Accepted Answer

15

Answer

Total parts = 3 + 5 = 8. Each part = 24/8 = 3. Girls = 5 × 3 = 15.

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