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Clock Problems - Advanced Level: angle between hands ADVANCED

Master clock problems concepts through this hard problem set practice set. Worksheet 26 of 30 contains 20 advanced-level problems. Deep dive into angle between hands while learning clock hands, time calculation, clock puzzles. Recommended for advanced learners aiming for complex scenarios and multi-step problems.

📝 Worksheet 26 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Clock Problems
Worksheet 26 of 30 (86% complete)

Question 1

At approximately what time between 6:00 and 7:00 do the clock hands point in exactly opposite directions (180° apart)?
The hands point in opposite directions (180° apart) at approximately 7:05.
opposite, 180-degrees

Question 2

What is the angle between the hour and minute hands of a clock at 12:03?
Hour hand at 1.5°, minute hand at 18°. Difference = 16.5°
angles, geometry

Question 3

At what time between 12:00 and 1:00 do the hour and minute hands exactly overlap?
The hands overlap at 12:05 when both hands are at 33° from 12 o'clock.
overlap, advanced

Question 4

A clock is 22 minutes fast. If the correct time is 4:00, what time does the clock show?
If the clock is 22 minutes fast, it shows 4:22 when the correct time is 4:00.
error, correction

Question 5

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.
opposite, 180-degrees

Question 6

A clock loses 2 minutes per hour. If it showed the correct time at 6:00, what time will it show after 18 hours?
After 18 hours, the clock has loses 36 minutes. So it shows 5:24.
gains, loses

Question 7

What is the water image (vertical mirror reflection) of the clock showing 11:45?
In water reflection, the time appears as 12:15 (calculated as 11:60 - 11:45).
water, reflection

Question 8

At approximately what time between 11:00 and 12:00 do the clock hands form a right angle (90°)?
The hands form a 90° angle at approximately 12:16.
right-angle, 90-degrees

Question 9

A clock is 13 minutes slow. If the correct time is 6:50, what time does the clock show?
If the clock is 13 minutes slow, it shows 6:37 when the correct time is 6:50.
error, correction

Question 10

At approximately what time between 1:00 and 2:00 do the clock hands form a 120° angle?
The hands form a 120° angle at approximately 2:27.
specific-angle, advanced

Question 11

What is the angle between the hour and minute hands of a clock at 6:30?
Hour hand at 195.0°, minute hand at 180°. Difference = 15°
angles, geometry

Question 12

What time will it be 62 minutes before 3:27?
Starting from 3:27, 62 minutes before gives 2:25.
time-calculation, basic

Question 13

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.
specific-angle, advanced

Question 14

At approximately what time between 10:00 and 11:00 do the clock hands point in exactly opposite directions (180° apart)?
The hands point in opposite directions (180° apart) at approximately 11:27.
opposite, 180-degrees

Question 15

At approximately what time between 9:00 and 10:00 do the clock hands form a right angle (90°)?
The hands form a 90° angle at approximately 10:38.
right-angle, 90-degrees

Question 16

At approximately what time between 1:00 and 2:00 do the clock hands form a 150° angle?
The hands form a 150° angle at approximately 2:38.
specific-angle, advanced

Question 17

At approximately what time between 8:00 and 9:00 do the clock hands point in exactly opposite directions (180° apart)?
The hands point in opposite directions (180° apart) at approximately 9:16.
opposite, 180-degrees

Question 18

A clock gains 3 minutes every day. How many minutes will it be gaining after 5 days?
Per day gains = 3 minutes. After 5 days: 3 × 5 = 15 minutes.
gains, loses

Question 19

What is the angle between the hour and minute hands of a clock at 1:27?
Hour hand at 43.5°, minute hand at 162°. Difference = 118.5°
angles, geometry

Question 20

At what time between 12:00 and 1:00 do the hour and minute hands exactly overlap?
The hands overlap at 12:11 when both hands are at 65° from 12 o'clock.
overlap, advanced
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