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Clock Problems - Expert Level: incorrect clocks EXPERT

Intensive progress check 🎯 drill: 20 expert-level clock problems questions. Worksheet 30 of 30 hones your incorrect clocks abilities. Practice time problems, clock arithmetic, hour-minute logic under timed conditions. Best for expert-level students seeking challenging problems and time-bound practice.

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

What you'll learn in this worksheet:
Your progress through Clock Problems
Worksheet 30 of 30 (100% complete)

Question 1

A clock loses 10 minutes per hour. If it showed the correct time at 8:00, what time will it show after 12 hours?
After 12 hours, the clock has loses 120 minutes. So it shows 6:00.
gains, loses

Question 2

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 3

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.
opposite, 180-degrees

Question 4

At what time between 12:00 and 1:00 do the hour and minute hands exactly overlap?
The hands overlap at 12:55 when both hands are at 327° from 12 o'clock.
overlap, advanced

Question 5

At what time between 12:00 and 1:00 do the hour and minute hands exactly overlap?
The hands overlap at 12:49 when both hands are at 295° from 12 o'clock.
overlap, advanced

Question 6

A clock loses 2 minutes every hour. If it shows the correct time at 10:00, how many minutes will it be loseing after 24 hours?
The clock loses 2 minutes per hour. After 24 hours: 2 × 24 = 48 minutes.
gains, loses

Question 7

A clock gains 5 minutes every day. How many minutes will it be gaining after 10 days?
Per day gains = 5 minutes. After 10 days: 5 × 10 = 50 minutes.
gains, loses

Question 8

A clock is 8 minutes fast. If the correct time is 6:53, what time does the clock show?
If the clock is 8 minutes fast, it shows 7:01 when the correct time is 6:53.
error, correction

Question 9

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 10

What is the mirror image of 8:22 on a clock?
In a mirror, 8:22 appears as 3:38.
mirror, reflection

Question 11

At approximately what time between 7:00 and 8:00 do the clock hands point in exactly opposite directions (180° apart)?
The hands point in opposite directions (180° apart) at approximately 8:11.
opposite, 180-degrees

Question 12

At approximately what time between 6:00 and 7:00 do the clock hands form a right angle (90°)?
The hands form a 90° angle at approximately 7:55.
right-angle, 90-degrees

Question 13

A clock is 45 minutes fast. If the correct time is 1:07, what time does the clock show?
If the clock is 45 minutes fast, it shows 1:52 when the correct time is 1:07.
error, correction

Question 14

A clock gains 1 minutes every day. How many minutes will it be gaining after 15 days?
Per day gains = 1 minutes. After 15 days: 1 × 15 = 15 minutes.
gains, loses

Question 15

A clock gains 3 minutes every hour. If it shows the correct time at 11:00, how many minutes will it be gaining after 6 hours?
The clock gains 3 minutes per hour. After 6 hours: 3 × 6 = 18 minutes.
gains, loses

Question 16

What is the angle between the hour and minute hands of a clock at 3:30?
Hour hand at 105.0°, minute hand at 180°. Difference = 75°
angles, geometry

Question 17

At approximately what time between 2:00 and 3:00 do the clock hands form a 60° angle?
The hands form a 60° angle at approximately 3:05.
specific-angle, advanced

Question 18

What is the water image (vertical mirror reflection) of the clock showing 1:00?
In water reflection, the time appears as 11:00 (calculated as 11:60 - 1:00).
water, reflection

Question 19

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°
angles, geometry

Question 20

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
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