Clock Problems - Intermediate Level: clock angles INTERMEDIATE

Master clock problems concepts through this excellence pursuit practice set. Worksheet 16 of 30 contains 20 intermediate-level problems. Deep dive into clock angles while learning time problems, clock arithmetic, hour-minute logic. Recommended for mid-level learners aiming for moderate complexity with mixed patterns.

📝 Worksheet 16 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Clock Problems
Worksheet 16 of 30 (53% complete)

Question 1

A clock loses 2 minutes per hour. If it showed the correct time at 2:00, what time will it show after 12 hours?
After 12 hours, the clock has loses 24 minutes. So it shows 1:36.

Question 2

A clock is 33 minutes fast. If the correct time is 6:23, what time does the clock show?
If the clock is 33 minutes fast, it shows 6:56 when the correct time is 6:23.

Question 3

What is the water image (vertical mirror reflection) of the clock showing 2:30?
In water reflection, the time appears as 9:30 (calculated as 11:60 - 2:30).

Question 4

What is the water image (vertical mirror reflection) of the clock showing 6:15?
In water reflection, the time appears as 5:45 (calculated as 11:60 - 6:15).

Question 5

What is the water image (vertical mirror reflection) of the clock showing 6:45?
In water reflection, the time appears as 5:15 (calculated as 11:60 - 6:45).

Question 6

What is the water image (vertical mirror reflection) of the clock showing 8:45?
In water reflection, the time appears as 3:15 (calculated as 11:60 - 8:45).

Question 7

What is the water image (vertical mirror reflection) of the clock showing 4:45?
In water reflection, the time appears as 7:15 (calculated as 11:60 - 4:45).

Question 8

At what time between 12:00 and 1:00 do the hour and minute hands exactly overlap?
The hands overlap at 12:38 when both hands are at 229° from 12 o'clock.

Question 9

What is the angle between the hour and minute hands of a clock at 3:40?
Hour hand at 110.0°, minute hand at 240°. Difference = 130°

Question 10

At approximately what time between 11:00 and 12:00 do the clock hands point in exactly opposite directions (180° apart)?
The hands point in opposite directions (180° apart) at approximately 12:33.

Question 11

At approximately what time between 12:00 and 1:00 do the clock hands form a right angle (90°)?
The hands form a 90° angle at approximately 1:22.

Question 12

At approximately what time between 3:00 and 4:00 do the clock hands form a 135° angle?
The hands form a 135° angle at approximately 4:30.

Question 13

What is the angle between the hour and minute hands of a clock at 3:42?
Hour hand at 111.0°, minute hand at 252°. Difference = 141°

Question 14

At what time between 12:00 and 1:00 do the hour and minute hands exactly overlap?
The hands overlap at 12:22 when both hands are at 131° from 12 o'clock.

Question 15

What time will it be 24 minutes before 6:20?
Starting from 6:20, 24 minutes before gives 5:56.

Question 16

What time will it be 153 minutes after 8:14?
Starting from 8:14, 153 minutes after gives 10:47.

Question 17

At approximately what time between 8:00 and 9:00 do the clock hands form a 90° angle?
The hands form a 90° angle at approximately 9:00.

Question 18

A clock is 29 minutes fast. If the correct time is 11:09, what time does the clock show?
If the clock is 29 minutes fast, it shows 11:38 when the correct time is 11:09.

Question 19

At approximately what time between 9:00 and 10:00 do the clock hands point in exactly opposite directions (180° apart)?
The hands point in opposite directions (180° apart) at approximately 10:22.

Question 20

A clock gains 5 minutes per hour. If it showed the correct time at 4:00, what time will it show after 6 hours?
After 6 hours, the clock has gains 30 minutes. So it shows 4:30.
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