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 1:39? (in degrees) =
- 2.A clock shows 2:09. What time will it show 102 minutes later? (a) 3:41 (b) 3:51 (c) 4:51 (d) 4:01
- 3.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
- 4.A clock shows 8:48. What time will it show 29 minutes later? (a) 10:17 (b) 9:07 (c) 9:17 (d) 9:27
- 5.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
- 7.A clock shows 7:03. What time will it show 69 minutes later? (a) 8:22 (b) 9:12 (c) 8:12 (d) 8:02
- 8.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
- 10.A clock shows 7:44. What time will it show 81 minutes later? (a) 9:15 (b) 9:05 (c) 8:55 (d) 10:05
- 11.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 150 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
- 14.A clock shows 6:44. What time will it show 158 minutes later? (a) 9:22 (b) 9:12 (c) 9:32 (d) 10:22
- 15.How many degrees does the hour hand of a clock turn in 111 minutes? =
- 16.A clock shows 10:06. What time will it show 38 minutes later? (a) 10:54 (b) 10:34 (c) 10:44 (d) 11:44
- 17.A clock shows 7:07. What time will it show 137 minutes later? (a) 10:24 (b) 9:34 (c) 9:14 (d) 9:24
- 18.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
- 19.How many degrees does the hour hand of a clock turn in 93 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 11:58? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 10:18? (in degrees) =
- 24.How many degrees does the hour hand of a clock turn in 97 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
- 27.A clock shows 4:50. What time will it show 97 minutes later? (a) 6:17 (b) 6:27 (c) 7:27 (d) 6:37
- 28.What is the smaller angle between the hour hand and the minute hand at 5:32? (in degrees) =
- 29.A clock shows 10:54. What time will it show 43 minutes later? (a) 12:37 (b) 11:37 (c) 11:27 (d) 11:47
- 30.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
- 32.A clock shows 6:57. What time will it show 42 minutes later? (a) 7:29 (b) 7:39 (c) 8:39 (d) 7:49
- 33.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
- 35.A clock shows 5:53. What time will it show 145 minutes later? (a) 8:08 (b) 8:18 (c) 9:18 (d) 8:28
- 36.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 75 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
Answer key
- 175.5
- 3:51
- 78.5
- 9:17
- 98
- 103
- 8:12
- 65
- 54.5
- 9:05
- 168
- 75
- 119
- 9:22
- 55.5
- 10:44
- 9:24
- 84
- 46.5
- 11
- 126
- 294
- 159
- 48.5
- 157
- 92
- 6:27
- 26
- 11:37
- 121
- 2
- 7:39
- 69.5
- 163
- 8:18
- 102
- 120
- 37.5
- 204
- 156
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