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.How many degrees does the hour hand of a clock turn in 99 minutes? =
- 2.How many degrees does the hour hand of a clock turn in 58 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 172 minutes? =
- 6.A clock shows 1:50. What time will it show 126 minutes later? (a) 3:46 (b) 4:06 (c) 4:56 (d) 3:56
- 7.How many degrees does the hour hand of a clock turn in 53 minutes? =
- 8.A clock shows 5:25. What time will it show 125 minutes later? (a) 7:20 (b) 7:30 (c) 8:30 (d) 7:40
- 9.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
- 10.A clock shows 1:49. What time will it show 37 minutes later? (a) 2:36 (b) 2:26 (c) 3:26 (d) 2:16
- 11.A clock shows 3:33. What time will it show 123 minutes later? (a) 6:36 (b) 5:46 (c) 5:26 (d) 5:36
- 12.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 13.A clock shows 5:27. What time will it show 121 minutes later? (a) 7:38 (b) 7:28 (c) 7:18 (d) 8:28
- 14.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
- 18.A clock shows 9:32. What time will it show 84 minutes later? (a) 10:56 (b) 10:46 (c) 11:56 (d) 11:06
- 19.A clock shows 10:29. What time will it show 95 minutes later? (a) 11:54 (b) 1:04 (c) 12:14 (d) 12:04
- 20.How many degrees does the hour hand of a clock turn in 117 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 23.A clock shows 2:49. What time will it show 106 minutes later? (a) 4:25 (b) 4:45 (c) 4:35 (d) 5:35
- 24.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
- 25.A clock shows 6:00. What time will it show 118 minutes later? (a) 7:58 (b) 8:58 (c) 7:48 (d) 8:08
- 26.How many degrees does the hour hand of a clock turn in 81 minutes? =
- 27.A clock shows 3:56. What time will it show 72 minutes later? (a) 5:18 (b) 6:08 (c) 5:08 (d) 4:58
- 28.A clock shows 10:32. What time will it show 89 minutes later? (a) 11:51 (b) 12:01 (c) 12:11 (d) 1:01
- 29.A clock shows 7:56. What time will it show 21 minutes later? (a) 8:17 (b) 8:27 (c) 8:07 (d) 9:17
- 30.How many degrees does the hour hand of a clock turn in 116 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
- 33.A clock shows 2:48. What time will it show 128 minutes later? (a) 4:46 (b) 5:06 (c) 4:56 (d) 5:56
- 34.How many degrees does the hour hand of a clock turn in 90 minutes? =
- 35.How many degrees does the hour hand of a clock turn in 124 minutes? =
- 36.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 37.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
- 40.A clock shows 1:46. What time will it show 126 minutes later? (a) 4:52 (b) 4:02 (c) 3:42 (d) 3:52
Answer key
- 49.5
- 29
- 130
- 216
- 86
- 3:56
- 26.5
- 7:30
- 134.5
- 2:26
- 5:36
- 114
- 7:28
- 25.5
- 159
- 155
- 153
- 10:56
- 12:04
- 58.5
- 0
- 138
- 4:35
- 167
- 7:58
- 40.5
- 5:08
- 12:01
- 8:17
- 58
- 13
- 170
- 4:56
- 45
- 62
- 348
- 330
- 40
- 130.5
- 3:52
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