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.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
- 5.A clock shows 4:32. What time will it show 66 minutes later? (a) 6:38 (b) 5:28 (c) 5:48 (d) 5:38
- 6.A clock shows 4:13. What time will it show 94 minutes later? (a) 5:37 (b) 5:47 (c) 5:57 (d) 6:47
- 7.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
- 8.How many degrees does the hour hand of a clock turn in 127 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
- 10.A clock shows 4:06. What time will it show 113 minutes later? (a) 5:49 (b) 6:59 (c) 5:59 (d) 6:09
- 11.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 15.A clock shows 5:55. What time will it show 109 minutes later? (a) 8:44 (b) 7:34 (c) 7:44 (d) 7:54
- 16.A clock shows 10:02. What time will it show 38 minutes later? (a) 11:40 (b) 10:30 (c) 10:40 (d) 10:50
- 17.A clock shows 12:16. What time will it show 136 minutes later? (a) 2:32 (b) 2:22 (c) 2:42 (d) 3:32
- 18.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 19.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 20.A clock shows 7:38. What time will it show 15 minutes later? (a) 8:53 (b) 8:03 (c) 7:43 (d) 7:53
- 21.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 24.A clock shows 11:43. What time will it show 10 minutes later? (a) 12:03 (b) 11:53 (c) 12:53 (d) 11:43
- 25.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
- 27.A clock shows 12:56. What time will it show 71 minutes later? (a) 1:57 (b) 2:07 (c) 3:07 (d) 2:17
- 28.A clock shows 12:40. What time will it show 85 minutes later? (a) 1:55 (b) 2:05 (c) 2:15 (d) 3:05
- 29.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
- 30.How many degrees does the hour hand of a clock turn in 26 minutes? =
- 31.A clock shows 2:38. What time will it show 123 minutes later? (a) 4:41 (b) 4:31 (c) 5:41 (d) 4:51
- 32.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
- 33.A clock shows 10:02. What time will it show 109 minutes later? (a) 12:01 (b) 12:51 (c) 11:41 (d) 11:51
- 34.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 35.How many degrees does the hour hand of a clock turn in 23 minutes? =
- 36.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 37.A clock shows 9:20. What time will it show 158 minutes later? (a) 12:08 (b) 12:58 (c) 11:48 (d) 11:58
- 38.A clock shows 11:39. What time will it show 90 minutes later? (a) 1:19 (b) 2:09 (c) 12:59 (d) 1:09
- 39.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 25 minutes? =
Answer key
- 78.5
- 0.5
- 179.5
- 23.5
- 5:38
- 5:47
- 142.5
- 63.5
- 154
- 5:59
- 95.5
- 58
- 107
- 342
- 7:44
- 10:40
- 2:32
- 348
- 318
- 7:53
- 66.5
- 75.5
- 234
- 11:53
- 3.5
- 25
- 2:07
- 2:05
- 86.5
- 13
- 4:41
- 53
- 11:51
- 114
- 11.5
- 246
- 11:58
- 1:09
- 167.5
- 12.5
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