Math Practice Problems - Time Intervals

Time Intervals - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=1, Mode=easy

Solve.

1. What time was it five hours before 9:00 pm?
:

2. How much time is there from 12:00 am to 6:00 am?
hours

Complexity=1, Mode=medium

Solve.

1. What time was it twelve hours before 11:00 pm?
:

2. How much time is there from 6:00 am to 2:00 pm?
hours

Complexity=1, Mode=hard

Solve.

1. What time will it be eleven hours past 3:00 pm?
:

2. How many hours are there from 7:00 pm to 12:00 am (next day)?
hours

Complexity=2, Mode=medium

Solve.

1. How many hours and minutes are there from 9:00 am to 9:00 pm?
hours minutes

2. What time was it one and a half hours before 1:00 pm?
:

Complexity=3, Mode=medium

Solve.

1. What time will it be seven and a quarter hours after 5:00 am?
:

2. How many hours and minutes are there from 10:15 am to 3:30 pm?
hours minutes

Complexity=4, Mode=medium

Solve.

1. What time will it be eleven hours and 22 minutes after 6:43 am?
:

2. What time was it six hours and 39 minutes before 2:28 pm?
:

Complexity=4, Mode=hard

Solve.

1. How much time is there from 9:10 pm to 2:51 am (next day)?
hours minutes

2. What time was it four hours and 19 minutes before 1:26 am?
:

Answers

Complexity=1, Mode=easy

Solve.

Problem

Correct Answer

Your Answer

What time was it five hours before 9:00 pm?

Solution
9:00 pm - 5:00 = 4:00 pm

Alternate Explanation:
Since the time you are looking for is in the past, count backwards.
Count the hours.
9:00 pm → 8:00 pm → 7:00 pm → 6:00 pm → 5:00 pm → 4:00 pm

Count: 1 hr 2 hr 3 hr 4 hr 5 hr

Problem

Correct Answer

Your Answer

How much time is there from 12:00 am to 6:00 am?

hours

Solution
12:00 am is midnight, which is the beginning of the day.
6:00 am is 6 hours after the beginning of the day.
6 hours - 0 hours = 6 hours

Alternate Explanation:
Count the hours.
12:00 am → 1:00 am → 2:00 am → 3:00 am → 4:00 am → 5:00 am → 6:00 am

Count: 1 hr 2 hr 3 hr 4 hr 5 hr 6 hr

Complexity=1, Mode=medium

Solve.

Problem

Correct Answer

Your Answer

What time was it twelve hours before 11:00 pm?

Solution
11:00 pm to 11:00 am is exactly 12 hours apart.

Alternate Explanation:
11:00 pm is 23 hours after the beginning of the day.
Twelve hours (12:00) before 11:00 pm is
23:00 - 12:00 = 11:00

Alternate Explanation:
Since the time you are looking for is in the past, count backwards.
Count the hours.
11:00 pm → 10:00 pm → 9:00 pm → 8:00 pm → 7:00 pm → 6:00 pm → 5:00 pm → 4:00 pm → 3:00 pm → 2:00 pm → 1:00 pm → 12:00 pm → 11:00 am

Count: 1 hr 2 hr 3 hr 4 hr 5 hr 6 hr 7 hr 8 hr 9 hr 10 hr 11 hr 12 hr

Problem

Correct Answer

Your Answer

How much time is there from 6:00 am to 2:00 pm?

hours

Solution
Since the times cross from am to pm, use noon (12:00pm) to help us count the time.
6:00 am is 6 hours before noon.
2:00 pm is 2 hours after noon.

Time difference = Time from 6:00 am to noon + Time from noon to 2:00 pm

= 6 hours + 2 hours

= 8 hours

Alternate Explanation:
Count the hours.
6:00 am → 7:00 am → 8:00 am → 9:00 am → 10:00 am → 11:00 am → 12:00 pm → 1:00 pm → 2:00 pm

Count: 1 hr 2 hr 3 hr 4 hr 5 hr 6 hr 7 hr 8 hr

Alternate Explanation:
6:00 am is 6 hours after the beginning of the day.
2:00 pm is 14 hours after the beginning of the day.

14 hours - 6 hours = 8 hours

Complexity=1, Mode=hard

Solve.

Problem

Correct Answer

Your Answer

What time will it be eleven hours past 3:00 pm?

Solution
3:00 pm to 3:00 am is exactly 12 hours apart.
2:00 am is 1 hour before 3:00 am.
12 hours - 1 hour = 11 hours

Alternate Explanation:
3:00 pm is 15 hours after the beginning of the day.
Eleven hours (11:00) after 3:00 pm is
15:00 + 11:00 = 26:00

Since 26:00 > 24:00, the time has passed into the next day so subtract 24:00.
26:00 - 24:00 = 2:00 am

Alternate Explanation:
Count the hours.
3:00 pm → 4:00 pm → 5:00 pm → 6:00 pm → 7:00 pm → 8:00 pm → 9:00 pm → 10:00 pm → 11:00 pm → 12:00 am → 1:00 am → 2:00 am

Count: 1 hr 2 hr 3 hr 4 hr 5 hr 6 hr 7 hr 8 hr 9 hr 10 hr 11 hr

Problem

Correct Answer

Your Answer

How many hours are there from 7:00 pm to 12:00 am (next day)?

hours

Solution
Count the hours.

7:00 pm	→	8:00 pm	→	9:00 pm	→	10:00 pm	→	11:00 pm	→	12:00 am
Count:	1 hr		2 hr		3 hr		4 hr		5 hr

Alternate Explanation:
7:00 pm is 19 hours after the beginning of the day.
12:00 am is midnight, which is the beginning of the day.
Since 12:00 am is in the next day, add 24 hours. (There are 24 hours in a day.)

0 hours + 24 hours - 19 hours = 5 hours

Complexity=2, Mode=medium

Solve.

Problem

Correct Answer

Your Answer

How many hours and minutes are there from 9:00 am to 9:00 pm?

hours minutes

Solution
9:00 am to 9:00 pm is exactly 12 hours apart.

Alternate Explanation:
Since the times cross from am to pm, use noon (12:00pm) to help us count the time.
9:00 am is 3 hours before noon.
9:00 pm is 9 hours after noon.

Time difference = Time from 9:00 am to noon + Time from noon to 9:00 pm

= 3 hours + 9 hours

= 12 hours

Alternate Explanation:
Count the hours.
9:00 am → 10:00 am → 11:00 am → 12:00 pm → 1:00 pm → 2:00 pm → 3:00 pm → 4:00 pm → 5:00 pm → 6:00 pm → 7:00 pm → 8:00 pm → 9:00 pm

Count: 1 hr 2 hr 3 hr 4 hr 5 hr 6 hr 7 hr 8 hr 9 hr 10 hr 11 hr 12 hr

Alternate Explanation:
9:00 am is 9 hours after the beginning of the day.
9:00 pm is 21 hours after the beginning of the day.

21 hours - 9 hours = 12 hours

Problem

Correct Answer

Your Answer

What time was it one and a half hours before 1:00 pm?

Solution
1:00 pm is 13 hours after the beginning of the day.
One and a half hours (1:30) before 1:00 pm is
13:00 - 1:30 = 11:30

Alternate Explanation:
Since the time you are looking for is in the past, count backwards.
1. Count the hours.
1:00 pm → 12:00 pm

Count: 1 hr

2. Count the minutes.
30 minutes before 12:00 pm is 11:30 am.

Complexity=3, Mode=medium

Solve.

Problem

Correct Answer

Your Answer

What time will it be seven and a quarter hours after 5:00 am?

Solution
5:00 am is 5 hours after the beginning of the day.
Seven and a quarter hours (7:15) after 5:00 am is
5:00 + 7:15 = 12:15

Alternate Explanation:
1. Count the hours.
5:00 am → 6:00 am → 7:00 am → 8:00 am → 9:00 am → 10:00 am → 11:00 am → 12:00 pm

Count: 1 hr 2 hr 3 hr 4 hr 5 hr 6 hr 7 hr

2. Count the minutes.
From 12:00 pm to 12:15 pm is 15 minutes.

Problem

Correct Answer

Your Answer

How many hours and minutes are there from 10:15 am to 3:30 pm?

hours minutes

Solution
Since the times cross from am to pm, use noon (12:00pm) to help us count the time.
10:15 am is 1 hour and 45 minutes before noon.
3:30 pm is 3 hours and 30 minutes after noon.

Time difference = Time from 10:15 am to noon + Time from noon to 3:30 pm

= 1 hour and 45 minutes + 3 hours and 30 minutes

= 5 hours and 15 minutes

Alternate Explanation:
1. Count the hours.
10:15 am → 11:15 am → 12:15 pm → 1:15 pm → 2:15 pm → 3:15 pm

Count: 1 hr 2 hr 3 hr 4 hr 5 hr

2. Count the minutes.
From 3:15 pm to 3:30 pm is 15 minutes.

Alternate Explanation:
10:15 am is 10 hours and 15 minutes after the beginning of the day.
3:30 pm is 15 hours and 30 minutes after the beginning of the day.

15 hours and 30 minutes - 10 hours and 15 minutes = 5 hours and 15 minutes

Complexity=4, Mode=medium

Solve.

Problem

Correct Answer

Your Answer

What time will it be eleven hours and 22 minutes after 6:43 am?

Solution
6:43 am to 6:43 pm is exactly 12 hours apart.
6:05 pm is 38 minutes before 6:43 pm.
12 hours - 38 minutes = 11 hours and 22 minutes

Alternate Explanation:
6:43 am is 6 hours and 43 minutes after the beginning of the day.
Eleven hours and 22 minutes (11:22) after 6:43 am is
6:43 + 11:22 = 18:05

6:05 pm is 18 hours and 5 minutes after the beginning of the day.
18:05 = 6:05 pm

Alternate Explanation:
1. Count the hours.
6:43 am → 7:43 am → 8:43 am → 9:43 am → 10:43 am → 11:43 am → 12:43 pm → 1:43 pm → 2:43 pm → 3:43 pm → 4:43 pm → 5:43 pm

Count: 1 hr 2 hr 3 hr 4 hr 5 hr 6 hr 7 hr 8 hr 9 hr 10 hr 11 hr

2. Count the minutes.
From 5:43 pm to 6:05 pm is 22 minutes.

Problem

Correct Answer

Your Answer

What time was it six hours and 39 minutes before 2:28 pm?

Solution
2:28 pm is 14 hours and 28 minutes after the beginning of the day.
Six hours and 39 minutes (6:39) before 2:28 pm is
14:28 - 6:39 = 7:49

Alternate Explanation:
Since the time you are looking for is in the past, count backwards.
1. Count the hours.
2:28 pm → 1:28 pm → 12:28 pm → 11:28 am → 10:28 am → 9:28 am → 8:28 am

Count: 1 hr 2 hr 3 hr 4 hr 5 hr 6 hr

2. Count the minutes.
39 minutes before 8:28 am is 7:49 am.

Complexity=4, Mode=hard

Solve.

Problem

Correct Answer

Your Answer

How much time is there from 9:10 pm to 2:51 am (next day)?

hours minutes

Solution
Since the times cross from pm to am, use midnight (12:00am) to help us count the time.
9:10 pm is 2 hours and 50 minutes before midnight.
2:51 am is 2 hours and 51 minutes after midnight.

Time difference = Time from 9:10 pm to midnight + Time from midnight to 2:51 am

= 2 hours and 50 minutes + 2 hours and 51 minutes

= 5 hours and 41 minutes

Alternate Explanation:
1. Count the hours.
9:10 pm → 10:10 pm → 11:10 pm → 12:10 am → 1:10 am → 2:10 am

Count: 1 hr 2 hr 3 hr 4 hr 5 hr

2. Count the minutes.
From 2:10 am to 2:51 am is 41 minutes.

Alternate Explanation:
9:10 pm is 21 hours and 10 minutes after the beginning of the day.
2:51 am is 2 hours and 51 minutes after the beginning of the day.
Since 2:51 am is in the next day, add 24 hours. (There are 24 hours in a day.)

2 hours and 51 minutes + 24 hours - 21 hours and 10 minutes = 5 hours and 41 minutes

Problem

Correct Answer

Your Answer

What time was it four hours and 19 minutes before 1:26 am?

Solution
1:26 am is 1 hour and 26 minutes after the beginning of the day.
Four hours and 19 minutes (4:19) before 1:26 am crosses into the previous day, so add 24 hours.
24:00 + 1:26 - 4:19 = 21:07

9:07 pm is 21 hours and 7 minutes after the beginning of the day.
21:07 = 9:07 pm

Alternate Explanation:
Since the time you are looking for is in the past, count backwards.
1. Count the hours.
1:26 am → 12:26 am → 11:26 pm → 10:26 pm → 9:26 pm

Count: 1 hr 2 hr 3 hr 4 hr

2. Count the minutes.
19 minutes before 9:26 pm is 9:07 pm.

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