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 33 minutes? =
- 2.A clock shows 12:58. What time will it show 169 minutes later? (a) 3:37 (b) 3:47 (c) 4:47 (d) 3:57
- 3.A clock shows 8:43. What time will it show 113 minutes later? (a) 10:46 (b) 10:26 (c) 10:36 (d) 11:36
- 4.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
- 5.A clock shows 2:11. What time will it show 169 minutes later? (a) 6:00 (b) 4:50 (c) 5:00 (d) 5:10
- 6.A clock shows 4:02. What time will it show 96 minutes later? (a) 6:38 (b) 5:48 (c) 5:28 (d) 5:38
- 7.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
- 8.A clock shows 1:56. What time will it show 31 minutes later? (a) 2:27 (b) 2:17 (c) 3:27 (d) 2:37
- 9.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 10.A clock shows 3:52. What time will it show 43 minutes later? (a) 4:35 (b) 5:35 (c) 4:25 (d) 4:45
- 11.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 12.A clock shows 6:02. What time will it show 23 minutes later? (a) 6:15 (b) 7:25 (c) 6:35 (d) 6:25
- 13.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 59 minutes? =
- 16.A clock shows 7:54. What time will it show 137 minutes later? (a) 11:11 (b) 10:21 (c) 10:01 (d) 10:11
- 17.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
- 18.A clock shows 3:31. What time will it show 63 minutes later? (a) 4:24 (b) 4:34 (c) 4:44 (d) 5:34
- 19.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 10 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
- 25.A clock shows 7:57. What time will it show 12 minutes later? (a) 8:19 (b) 9:09 (c) 7:59 (d) 8:09
- 26.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 27.How many degrees does the hour hand of a clock turn in 141 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
- 29.A clock shows 4:39. What time will it show 136 minutes later? (a) 7:55 (b) 6:45 (c) 7:05 (d) 6:55
- 30.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 31.A clock shows 11:46. What time will it show 28 minutes later? (a) 12:24 (b) 12:14 (c) 1:14 (d) 12:04
- 32.A clock shows 4:23. What time will it show 128 minutes later? (a) 7:31 (b) 6:31 (c) 6:41 (d) 6:21
- 33.How many degrees does the hour hand of a clock turn in 99 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
- 35.A clock shows 11:44. What time will it show 105 minutes later? (a) 2:29 (b) 1:39 (c) 1:19 (d) 1:29
- 36.How many degrees does the hour hand of a clock turn in 44 minutes? =
- 37.A clock shows 10:06. What time will it show 157 minutes later? (a) 1:43 (b) 12:33 (c) 12:53 (d) 12:43
- 38.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 40.A clock shows 1:36. What time will it show 71 minutes later? (a) 3:47 (b) 2:47 (c) 2:37 (d) 2:57
Answer key
- 198
- 3:47
- 10:36
- 176.5
- 5:00
- 5:38
- 35
- 2:27
- 168
- 4:35
- 12
- 6:25
- 145.5
- 172
- 29.5
- 10:11
- 167
- 4:34
- 112.5
- 5
- 177.5
- 137.5
- 240
- 107.5
- 8:09
- 156
- 70.5
- 97
- 6:55
- 300
- 12:14
- 6:31
- 49.5
- 86.5
- 1:29
- 22
- 12:43
- 204
- 342
- 2:47
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