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 minute hand of a clock turn in 50 minutes? =
- 2.A clock shows 12:11. What time will it show 170 minutes later? (a) 4:01 (b) 3:11 (c) 2:51 (d) 3:01
- 3.How many degrees does the hour hand of a clock turn in 15 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
- 5.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
- 7.A clock shows 1:42. What time will it show 21 minutes later? (a) 2:03 (b) 1:53 (c) 2:13 (d) 3:03
- 8.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 9.A clock shows 6:21. What time will it show 143 minutes later? (a) 8:44 (b) 9:44 (c) 8:54 (d) 8:34
- 10.A clock shows 8:47. What time will it show 80 minutes later? (a) 10:17 (b) 11:07 (c) 9:57 (d) 10:07
- 11.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
- 12.A clock shows 12:59. What time will it show 45 minutes later? (a) 2:44 (b) 1:34 (c) 1:44 (d) 1:54
- 13.A clock shows 8:46. What time will it show 28 minutes later? (a) 10:14 (b) 9:14 (c) 9:04 (d) 9:24
- 14.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
- 16.A clock shows 8:52. What time will it show 80 minutes later? (a) 10:22 (b) 10:02 (c) 10:12 (d) 11:12
- 17.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
- 18.A clock shows 3:25. What time will it show 97 minutes later? (a) 5:02 (b) 6:02 (c) 5:12 (d) 4:52
- 19.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 137 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 18 minutes? =
- 22.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 23.A clock shows 10:49. What time will it show 40 minutes later? (a) 11:29 (b) 11:39 (c) 12:29 (d) 11:19
- 24.A clock shows 3:57. What time will it show 157 minutes later? (a) 6:24 (b) 6:34 (c) 6:44 (d) 7:34
- 25.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
- 26.A clock shows 2:19. What time will it show 114 minutes later? (a) 4:13 (b) 4:23 (c) 5:13 (d) 4:03
- 27.What is the smaller angle between the hour hand and the minute hand at 6:18? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 29.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
- 32.A clock shows 8:16. What time will it show 112 minutes later? (a) 10:18 (b) 11:08 (c) 10:08 (d) 9:58
- 33.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
- 34.A clock shows 11:36. What time will it show 53 minutes later? (a) 12:39 (b) 12:19 (c) 1:29 (d) 12:29
- 35.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 63 minutes? =
- 39.A clock shows 4:21. What time will it show 35 minutes later? (a) 5:56 (b) 4:56 (c) 5:06 (d) 4:46
- 40.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =
Answer key
- 300
- 3:01
- 7.5
- 132.5
- 354
- 97
- 2:03
- 222
- 8:44
- 10:07
- 103
- 1:44
- 9:14
- 117.5
- 41.5
- 10:12
- 114
- 5:02
- 70.5
- 68.5
- 9
- 84
- 11:29
- 6:34
- 79
- 4:13
- 81
- 204
- 138
- 126.5
- 162
- 10:08
- 28.5
- 12:29
- 157.5
- 62
- 29
- 31.5
- 4:56
- 168
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