Question 1
A clock gains 2 minutes per hour. If it showed the correct time at 7:00, what time will it show after 18 hours?
After 18 hours, the clock has gains 36 minutes. So it shows 7:36.
Clock Problems - Advanced Level: clock mathematics ADVANCED
Boost your speed and accuracy with this high difficulty set 📈 worksheet. Worksheet 25 of 30 presents 20 advanced-level clock problems problems. Focus on clock mathematics while practicing hour-minute logic, clock hands, time calculation. Difficulty: complex scenarios and multi-step problems. Perfect for advanced test takers.
What you'll learn in this worksheet:
- Analyze complex hour-minute logic patterns systematically
- Develop analytical thinking for clock hands problems
- Learn step-by-step high difficulty set 📈 approaches
- Understand the logic behind time calculation solutions
- Apply critical thinking to clock mathematics challenges
Your progress through Clock Problems
Worksheet 25 of 30 (83% complete)
Question 2
A clock is 30 minutes fast. If the correct time is 3:46, what time does the clock show?
If the clock is 30 minutes fast, it shows 4:16 when the correct time is 3:46.
Question 3
What is the angle between the hour and minute hands of a clock at 9:55?
Hour hand at 297.5°, minute hand at 330°. Difference = 32.5°
Question 4
At approximately what time between 1:00 and 2:00 do the clock hands form a right angle (90°)?
The hands form a 90° angle at approximately 2:27.
Question 5
A clock loses 2 minutes per hour. If it showed the correct time at 7:00, what time will it show after 24 hours?
After 24 hours, the clock has loses 48 minutes. So it shows 6:12.
Question 6
A clock is 11 minutes slow. If the correct time is 6:45, what time does the clock show?
If the clock is 11 minutes slow, it shows 6:34 when the correct time is 6:45.
Question 7
What is the angle between the hour and minute hands of a clock at 9:48?
Hour hand at 294.0°, minute hand at 288°. Difference = 6°
Question 8
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 9
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 10
At what time between 12:00 and 1:00 do the hour and minute hands exactly overlap?
The hands overlap at 12:27 when both hands are at 164° from 12 o'clock.
Question 11
A clock loses 3 minutes every hour. If it shows the correct time at 8:00, how many minutes will it be loseing after 24 hours?
The clock loses 3 minutes per hour. After 24 hours: 3 × 24 = 72 minutes.
Question 12
At what time between 12:00 and 1:00 do the hour and minute hands exactly overlap?
The hands overlap at 12:44 when both hands are at 262° from 12 o'clock.
Question 13
What is the mirror image of 4:24 on a clock?
In a mirror, 4:24 appears as 7:36.
Question 14
What is the angle between the hour and minute hands of a clock at 11:55?
Hour hand at 357.5°, minute hand at 330°. Difference = 27.5°
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 10:54.
Question 16
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 17
At approximately what time between 12:00 and 1:00 do the clock hands form a 45° angle?
The hands form a 45° angle at approximately 1:10.
Question 18
A clock gains 3 minutes every day. How many minutes will it be gaining after 15 days?
Per day gains = 3 minutes. After 15 days: 3 × 15 = 45 minutes.
Question 19
A clock is 6 minutes fast. If the correct time is 7:18, what time does the clock show?
If the clock is 6 minutes fast, it shows 7:24 when the correct time is 7:18.
Question 20
A clock is 37 minutes slow. If the correct time is 12:47, what time does the clock show?
If the clock is 37 minutes slow, it shows 12:10 when the correct time is 12:47.
🚀 Keep the momentum! Worksheet 25 builds your clock mathematics skills.