Question 1
What is the angle between the hour and minute hands of a clock at 6:57?
Hour hand at 208.5°, minute hand at 342°. Difference = 133.5°
Clock Problems - Beginner-Intermediate Level: watch problems BEGINNER-INTERMEDIATE
Comprehensive race against clock worksheet covering 20 beginner-intermediate-level clock problems problems. Worksheet 8 of 30 emphasizes watch problems. Master clock angles, time problems, clock arithmetic through detailed explanations. Difficulty: building on fundamentals with moderate challenges. Tailored for developing preparation.
What you'll learn in this worksheet:
- Analyze complex clock angles patterns systematically
- Develop analytical thinking for time problems problems
- Learn step-by-step race against clock approaches
- Understand the logic behind clock arithmetic solutions
- Apply critical thinking to watch problems challenges
Your progress through Clock Problems
Worksheet 8 of 30 (26% complete)
Question 2
What is the water image (vertical mirror reflection) of the clock showing 9:45?
In water reflection, the time appears as 2:15 (calculated as 11:60 - 9:45).
Question 3
A clock is 12 minutes fast. If the correct time is 1:27, what time does the clock show?
If the clock is 12 minutes fast, it shows 1:39 when the correct time is 1:27.
Question 4
What time will it be 166 minutes after 5:45?
Starting from 5:45, 166 minutes after gives 8:31.
Question 5
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 6
At approximately what time between 4:00 and 5:00 do the clock hands form a 150° angle?
The hands form a 150° angle at approximately 5:00.
Question 7
A clock gains 2 minutes every hour. If it shows the correct time at 8:00, how many minutes will it be gaining after 12 hours?
The clock gains 2 minutes per hour. After 12 hours: 2 × 12 = 24 minutes.
Question 8
A clock loses 10 minutes every hour. If it shows the correct time at 8:00, how many minutes will it be loseing after 12 hours?
The clock loses 10 minutes per hour. After 12 hours: 10 × 12 = 120 minutes.
Question 9
What is the mirror image of 10:58 on a clock?
In a mirror, 10:58 appears as 1:02.
Question 10
What is the mirror image of 4:53 on a clock?
In a mirror, 4:53 appears as 7:07.
Question 11
A clock is 44 minutes slow. If the correct time is 12:24, what time does the clock show?
If the clock is 44 minutes slow, it shows 11:40 when the correct time is 12:24.
Question 12
What is the angle between the hour and minute hands of a clock at 4:59?
Hour hand at 149.5°, minute hand at 354°. Difference = 155.5°
Question 13
At approximately what time between 3:00 and 4:00 do the clock hands form a 120° angle?
The hands form a 120° angle at approximately 4:00.
Question 14
At approximately what time between 11:00 and 12:00 do the clock hands form a 135° angle?
The hands form a 135° angle at approximately 12:28.
Question 15
What is the angle between the hour and minute hands of a clock at 11:38?
Hour hand at 349.0°, minute hand at 228°. Difference = 121°
Question 16
A clock is 14 minutes slow. If the correct time is 11:00, what time does the clock show?
If the clock is 14 minutes slow, it shows 10:46 when the correct time is 11:00.
Question 17
At what time between 12:00 and 1:00 do the hour and minute hands exactly overlap?
The hands overlap at 12:33 when both hands are at 196° from 12 o'clock.
Question 18
At approximately what time between 5:00 and 6:00 do the clock hands point in exactly opposite directions (180° apart)?
The hands point in opposite directions (180° apart) at approximately 6:00.
Question 19
What time will it be 133 minutes before 6:59?
Starting from 6:59, 133 minutes before gives 4:46.
Question 20
At approximately what time between 12:00 and 1:00 do the clock hands form a 150° angle?
The hands form a 150° angle at approximately 1:33.
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