Clock Problems - Intermediate-Advanced Level: time calculation INTERMEDIATE-ADVANCED

This fundamentals focus worksheet contains 20 intermediate-advanced-level clock problems problems. Worksheet 21 of 30 focuses on time calculation. Practice clock puzzles, watch problems, time logic with our step-by-step solutions. Difficulty: advanced concepts with increasing complexity. Recommended for advanced developing learners.

📝 Worksheet 21 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Clock Problems
Worksheet 21 of 30 (70% complete)

Question 1

What time will it be 55 minutes after 12:29?
Starting from 12:29, 55 minutes after gives 1:24.

Question 2

What is the angle between the hour and minute hands of a clock at 11:15?
Hour hand at 337.5°, minute hand at 90°. Difference = 112.5°

Question 3

What is the mirror image of 8:46 on a clock?
In a mirror, 8:46 appears as 3:14.

Question 4

What time will it be 22 minutes after 5:18?
Starting from 5:18, 22 minutes after gives 5:40.

Question 5

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 6

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 7

A clock loses 3 minutes every day. How many minutes will it be loseing after 15 days?
Per day loses = 3 minutes. After 15 days: 3 × 15 = 45 minutes.

Question 8

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.

Question 9

At approximately what time between 11:00 and 12:00 do the clock hands form a 180° angle?
The hands form a 180° angle at approximately 12:33.

Question 10

What is the water image (vertical mirror reflection) of the clock showing 5:00?
In water reflection, the time appears as 7:00 (calculated as 11:60 - 5:00).

Question 11

A clock loses 3 minutes every hour. If it shows the correct time at 9:00, 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

A clock loses 4 minutes every hour. If it shows the correct time at 11:00, how many minutes will it be loseing after 6 hours?
The clock loses 4 minutes per hour. After 6 hours: 4 × 6 = 24 minutes.

Question 13

What is the angle between the hour and minute hands of a clock at 7:02?
Hour hand at 211.0°, minute hand at 12°. Difference = 161°

Question 14

A clock gains 3 minutes every day. How many minutes will it be gaining after 10 days?
Per day gains = 3 minutes. After 10 days: 3 × 10 = 30 minutes.

Question 15

What is the angle between the hour and minute hands of a clock at 2:12?
Hour hand at 66.0°, minute hand at 72°. Difference = 6°

Question 16

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.

Question 17

At approximately what time between 2:00 and 3:00 do the clock hands form a right angle (90°)?
The hands form a 90° angle at approximately 3:00.

Question 18

At approximately what time between 4:00 and 5:00 do the clock hands form a right angle (90°)?
The hands form a 90° angle at approximately 5:11.

Question 19

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 20

What is the mirror image of 10:23 on a clock?
In a mirror, 10:23 appears as 1:37.
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