Clock Reasoning Worksheet
How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.
NameDateTime takenScore ___ / 40
- 1.A clock shows 12:38. What time will it show 44 minutes later? (a) 1:32 (b) 2:22 (c) 1:12 (d) 1:22
- 2.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
- 5.A clock shows 6:09. What time will it show 101 minutes later? (a) 8:00 (b) 7:40 (c) 7:50 (d) 8:50
- 6.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 8.A clock shows 11:14. What time will it show 101 minutes later? (a) 1:05 (b) 1:55 (c) 12:55 (d) 12:45
- 9.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 12.A clock shows 11:30. What time will it show 70 minutes later? (a) 1:40 (b) 12:30 (c) 12:50 (d) 12:40
- 13.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 74 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
- 18.How many degrees does the hour hand of a clock turn in 66 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 37 minutes? =
- 21.A clock shows 11:55. What time will it show 90 minutes later? (a) 1:15 (b) 1:35 (c) 2:25 (d) 1:25
- 22.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
- 26.A clock shows 3:05. What time will it show 141 minutes later? (a) 5:26 (b) 5:16 (c) 6:26 (d) 5:36
- 27.A clock shows 11:15. What time will it show 145 minutes later? (a) 1:50 (b) 2:40 (c) 1:30 (d) 1:40
- 28.What is the smaller angle between the hour hand and the minute hand at 8:12? (in degrees) =
- 29.A clock shows 9:46. What time will it show 27 minutes later? (a) 10:03 (b) 10:23 (c) 10:13 (d) 11:13
- 30.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
- 31.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
- 33.A clock shows 6:41. What time will it show 115 minutes later? (a) 9:36 (b) 8:26 (c) 8:46 (d) 8:36
- 34.A clock shows 9:32. What time will it show 163 minutes later? (a) 12:25 (b) 12:05 (c) 1:15 (d) 12:15
- 35.A clock shows 12:38. What time will it show 146 minutes later? (a) 4:04 (b) 2:54 (c) 3:04 (d) 3:14
- 36.How many degrees does the hour hand of a clock turn in 118 minutes? =
- 37.How many degrees does the hour hand of a clock turn in 78 minutes? =
- 38.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
Answer key
- 1:22
- 22
- 132.5
- 163
- 7:50
- 40
- 174
- 12:55
- 348
- 99.5
- 132
- 12:40
- 5.5
- 122
- 37
- 126.5
- 59
- 33
- 39
- 18.5
- 1:25
- 156
- 19.5
- 128.5
- 146.5
- 5:26
- 1:40
- 174
- 10:13
- 154.5
- 150
- 150.5
- 8:36
- 12:15
- 3:04
- 59
- 39
- 222
- 34
- 70.5
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