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.A clock shows 11:31. What time will it show 130 minutes later? (a) 1:31 (b) 1:51 (c) 1:41 (d) 2:41
- 2.A clock shows 5:45. What time will it show 19 minutes later? (a) 6:14 (b) 7:04 (c) 5:54 (d) 6:04
- 3.How many degrees does the hour hand of a clock turn in 41 minutes? =
- 4.A clock shows 1:05. What time will it show 157 minutes later? (a) 3:52 (b) 4:42 (c) 3:42 (d) 3:32
- 5.A clock shows 9:47. What time will it show 25 minutes later? (a) 10:12 (b) 10:02 (c) 11:12 (d) 10:22
- 6.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
- 8.How many degrees does the hour hand of a clock turn in 46 minutes? =
- 9.How many degrees does the hour hand of a clock turn in 40 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 12.A clock shows 4:13. What time will it show 38 minutes later? (a) 4:41 (b) 5:01 (c) 4:51 (d) 5:51
- 13.A clock shows 8:59. What time will it show 83 minutes later? (a) 10:22 (b) 11:22 (c) 10:32 (d) 10:12
- 14.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 17.A clock shows 10:06. What time will it show 119 minutes later? (a) 12:15 (b) 1:05 (c) 11:55 (d) 12:05
- 18.How many degrees does the hour hand of a clock turn in 162 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
- 20.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 21.A clock shows 12:16. What time will it show 78 minutes later? (a) 1:44 (b) 1:34 (c) 1:24 (d) 2:34
- 22.A clock shows 2:12. What time will it show 74 minutes later? (a) 4:26 (b) 3:36 (c) 3:16 (d) 3:26
- 23.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
- 24.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 25.A clock shows 2:43. What time will it show 56 minutes later? (a) 3:29 (b) 4:39 (c) 3:49 (d) 3:39
- 26.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 7:45? (in degrees) =
- 29.A clock shows 4:56. What time will it show 166 minutes later? (a) 7:32 (b) 7:42 (c) 8:42 (d) 7:52
- 30.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 31.How many degrees does the hour hand of a clock turn in 118 minutes? =
- 32.A clock shows 6:49. What time will it show 68 minutes later? (a) 7:47 (b) 8:57 (c) 8:07 (d) 7:57
- 33.A clock shows 1:13. What time will it show 53 minutes later? (a) 2:16 (b) 2:06 (c) 3:06 (d) 1:56
- 34.A clock shows 9:52. What time will it show 62 minutes later? (a) 11:54 (b) 10:44 (c) 11:04 (d) 10:54
- 35.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
- 36.A clock shows 9:29. What time will it show 86 minutes later? (a) 10:55 (b) 10:45 (c) 11:55 (d) 11:05
- 37.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 38.How many degrees does the hour hand of a clock turn in 23 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 4:58? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
Answer key
- 1:41
- 6:04
- 20.5
- 3:42
- 10:12
- 128.5
- 6
- 23
- 20
- 48.5
- 330
- 4:51
- 10:22
- 174
- 179
- 312
- 12:05
- 81
- 74.5
- 48
- 1:34
- 3:26
- 131.5
- 186
- 3:39
- 16
- 75
- 37.5
- 7:42
- 126
- 59
- 7:57
- 2:06
- 10:54
- 147
- 10:55
- 42
- 11.5
- 161
- 52
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