Clock Problems

A clock starts at 9:00. By 15 minutes past 2, the hour hand has turned through: 

• A. 145º

• B. 150.5º

• C. 157.5º

• D. 160º

At what time between 9 and 10 o'clock will the hands of a clock be in the same straight line but not together? 

• 16 min. past9

• 16 3/11 min. past 9

• 16 4/11 min. past 9

• 16 5/11 min. past 9

At what time between 7.30 and 8 will the hands of a clock be at right angles?  

• A. 53 5/11 min. past 7

• B. 54 7/11 min. past 7

• C. 54 6/11 min. past 7

• D. 54 5/11 min. past 7

At 5:30, what is the angle between the hour hand and the minute hand on a clock?

• A. 40°

• B. 15°

• C. 67.5°

• D. 13.5°

How many instances occur within a day when the hands of a clock are perpendicular to each other?  

• A. 22

• B. 24

• C. 44

• D. 48

When the time is 3:20, what is the angle between the minute hand and the hour hand of a clock? 

• A. 80°

• B. 75°

• C. 60°

• D. 20°

At what time between 1 and 2 o'clock will the hands of a watch be together?

• A. 5 2/11 min. past 1

• B. 5 3/11 min. past 1

• C. 5 4/11 min. past 1

• D. 5 5/11 min. past 1

A wristwatch gains 10 seconds every 4 minutes. If the watch was correctly set at 7:00 a.m., what would be the true time when the watch displays 10:45 a.m.?

• A. 5 p.m.

• B. 10:26 a.m.

• C. 10:36 a.m.

• D. 10:40 a.m.