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 1:42? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
- 3.A clock shows 1:38. What time will it show 41 minutes later? (a) 2:29 (b) 3:19 (c) 2:09 (d) 2:19
- 4.A clock shows 10:42. What time will it show 28 minutes later? (a) 11:00 (b) 12:10 (c) 11:20 (d) 11:10
- 5.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 6.A clock shows 11:08. What time will it show 25 minutes later? (a) 11:23 (b) 11:33 (c) 11:43 (d) 12:33
- 7.A clock shows 5:27. What time will it show 90 minutes later? (a) 7:57 (b) 6:47 (c) 7:07 (d) 6:57
- 8.How many degrees does the hour hand of a clock turn in 62 minutes? =
- 9.A clock shows 11:44. What time will it show 12 minutes later? (a) 12:06 (b) 11:46 (c) 11:56 (d) 12:56
- 10.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
- 11.A clock shows 5:59. What time will it show 14 minutes later? (a) 6:13 (b) 7:13 (c) 6:03 (d) 6:23
- 12.A clock shows 11:11. What time will it show 10 minutes later? (a) 11:31 (b) 11:21 (c) 12:21 (d) 11:11
- 13.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 11:46? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
- 17.A clock shows 2:12. What time will it show 162 minutes later? (a) 5:04 (b) 4:44 (c) 5:54 (d) 4:54
- 18.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 67 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
- 25.A clock shows 6:47. What time will it show 165 minutes later? (a) 9:22 (b) 9:32 (c) 9:42 (d) 10:32
- 26.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
- 27.A clock shows 3:45. What time will it show 134 minutes later? (a) 6:09 (b) 5:49 (c) 5:59 (d) 6:59
- 28.A clock shows 7:19. What time will it show 67 minutes later? (a) 8:26 (b) 8:36 (c) 9:26 (d) 8:16
- 29.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
- 31.A clock shows 6:02. What time will it show 64 minutes later? (a) 8:06 (b) 6:56 (c) 7:06 (d) 7:16
- 32.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
- 33.A clock shows 5:24. What time will it show 132 minutes later? (a) 7:26 (b) 8:36 (c) 7:46 (d) 7:36
- 34.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
- 35.A clock shows 7:41. What time will it show 24 minutes later? (a) 7:55 (b) 8:15 (c) 8:05 (d) 9:05
- 36.A clock shows 12:51. What time will it show 35 minutes later? (a) 1:16 (b) 2:26 (c) 1:36 (d) 1:26
- 37.How many degrees does the hour hand of a clock turn in 91 minutes? =
- 38.How many degrees does the hour hand of a clock turn in 148 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
Answer key
- 159
- 28.5
- 2:19
- 11:10
- 60
- 11:33
- 6:57
- 31
- 11:56
- 90
- 6:13
- 11:21
- 12
- 169.5
- 77
- 19
- 4:54
- 124
- 131
- 130.5
- 294
- 33.5
- 163
- 76
- 9:32
- 13.5
- 5:59
- 8:26
- 68
- 173.5
- 7:06
- 135
- 7:36
- 144.5
- 8:05
- 1:26
- 45.5
- 74
- 252
- 177
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