Clock Problems - Beginner-Intermediate Level: angle between hands BEGINNER-INTERMEDIATE

This deep dive ★ worksheet contains 20 beginner-intermediate-level clock problems problems. Worksheet 11 of 30 focuses on angle between hands. Practice hour-minute logic, clock hands, time calculation with our step-by-step solutions. Difficulty: building on fundamentals with moderate challenges. Recommended for developing learners.

📝 Worksheet 11 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Clock Problems
Worksheet 11 of 30 (36% complete)

Question 1

At approximately what time between 3:00 and 4:00 do the clock hands form a right angle (90°)?
The hands form a 90° angle at approximately 4:54.

Question 2

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 3

At approximately what time between 1:00 and 2:00 do the clock hands point in exactly opposite directions (180° apart)?
The hands point in opposite directions (180° apart) at approximately 2:44.

Question 4

A clock gains 2 minutes per hour. If it showed the correct time at 5:00, what time will it show after 24 hours?
After 24 hours, the clock has gains 48 minutes. So it shows 5:48.

Question 5

What is the water image (vertical mirror reflection) of the clock showing 10:45?
In water reflection, the time appears as 1:15 (calculated as 11:60 - 10:45).

Question 6

What is the mirror image of 11:15 on a clock?
In a mirror, 11:15 appears as 12:45.

Question 7

What is the mirror image of 11:32 on a clock?
In a mirror, 11:32 appears as 12:28.

Question 8

What time will it be 122 minutes after 3:25?
Starting from 3:25, 122 minutes after gives 5:27.

Question 9

What is the mirror image of 11:58 on a clock?
In a mirror, 11:58 appears as 12:02.

Question 10

At approximately what time between 5:00 and 6:00 do the clock hands form a 180° angle?
The hands form a 180° angle at approximately 6:00.

Question 11

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.

Question 12

What is the water image (vertical mirror reflection) of the clock showing 6:00?
In water reflection, the time appears as 6:00 (calculated as 11:60 - 6:00).

Question 13

What is the water image (vertical mirror reflection) of the clock showing 2:30?
In water reflection, the time appears as 9:30 (calculated as 11:60 - 2:30).

Question 14

At approximately what time between 3:00 and 4:00 do the clock hands point in exactly opposite directions (180° apart)?
The hands point in opposite directions (180° apart) at approximately 4:55.

Question 15

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.

Question 16

What is the mirror image of 12:42 on a clock?
In a mirror, 12:42 appears as 11:18.

Question 17

A clock loses 1 minutes every day. How many minutes will it be loseing after 10 days?
Per day loses = 1 minutes. After 10 days: 1 × 10 = 10 minutes.

Question 18

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 19

What is the angle between the hour and minute hands of a clock at 6:36?
Hour hand at 198.0°, minute hand at 216°. Difference = 18°

Question 20

What is the angle between the hour and minute hands of a clock at 4:49?
Hour hand at 144.5°, minute hand at 294°. Difference = 149.5°
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