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 5:49. What time will it show 36 minutes later? (a) 6:15 (b) 7:25 (c) 6:25 (d) 6:35
- 2.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 165 minutes? =
- 8.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 9.A clock shows 3:52. What time will it show 51 minutes later? (a) 5:43 (b) 4:43 (c) 4:33 (d) 4:53
- 10.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 12.A clock shows 11:42. What time will it show 93 minutes later? (a) 1:25 (b) 1:05 (c) 1:15 (d) 2:15
- 13.A clock shows 2:17. What time will it show 100 minutes later? (a) 4:07 (b) 3:47 (c) 3:57 (d) 4:57
- 14.A clock shows 6:06. What time will it show 24 minutes later? (a) 6:40 (b) 6:20 (c) 6:30 (d) 7:30
- 15.What is the smaller angle between the hour hand and the minute hand at 8:36? (in degrees) =
- 16.A clock shows 4:59. What time will it show 132 minutes later? (a) 7:11 (b) 7:21 (c) 7:01 (d) 8:11
- 17.What is the smaller angle between the hour hand and the minute hand at 3:35? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
- 19.A clock shows 6:28. What time will it show 96 minutes later? (a) 9:04 (b) 7:54 (c) 8:04 (d) 8:14
- 20.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
- 23.How many degrees does the hour hand of a clock turn in 48 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 12:26? (in degrees) =
- 25.A clock shows 3:36. What time will it show 133 minutes later? (a) 5:59 (b) 5:39 (c) 6:49 (d) 5:49
- 26.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
- 27.A clock shows 8:30. What time will it show 57 minutes later? (a) 10:27 (b) 9:27 (c) 9:17 (d) 9:37
- 28.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
- 29.A clock shows 7:33. What time will it show 122 minutes later? (a) 10:35 (b) 9:45 (c) 9:25 (d) 9:35
- 30.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
- 31.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
- 33.How many degrees does the hour hand of a clock turn in 76 minutes? =
- 34.A clock shows 8:09. What time will it show 97 minutes later? (a) 10:46 (b) 9:36 (c) 9:56 (d) 9:46
- 35.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
- 36.A clock shows 2:06. What time will it show 47 minutes later? (a) 3:53 (b) 3:03 (c) 2:43 (d) 2:53
- 37.A clock shows 7:04. What time will it show 15 minutes later? (a) 7:29 (b) 7:09 (c) 8:19 (d) 7:19
- 38.How many degrees does the hour hand of a clock turn in 79 minutes? =
- 39.How many degrees does the hour hand of a clock turn in 95 minutes? =
- 40.A clock shows 2:53. What time will it show 65 minutes later? (a) 4:08 (b) 4:58 (c) 3:48 (d) 3:58
Answer key
- 6:25
- 78
- 29
- 125.5
- 112.5
- 58
- 82.5
- 318
- 4:43
- 90.5
- 65
- 1:15
- 3:57
- 6:30
- 42
- 7:11
- 102.5
- 10
- 8:04
- 60
- 122.5
- 111.5
- 24
- 143
- 5:49
- 36.5
- 9:27
- 24
- 9:35
- 120.5
- 66
- 136
- 38
- 9:46
- 113
- 2:53
- 7:19
- 39.5
- 47.5
- 3:58
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