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 1:01? (in degrees) =
- 2.A clock shows 5:26. What time will it show 81 minutes later? (a) 6:47 (b) 7:47 (c) 6:57 (d) 6:37
- 3.A clock shows 12:23. What time will it show 163 minutes later? (a) 3:16 (b) 2:56 (c) 4:06 (d) 3:06
- 4.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
- 6.A clock shows 2:52. What time will it show 97 minutes later? (a) 5:29 (b) 4:29 (c) 4:19 (d) 4:39
- 7.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
- 8.A clock shows 8:58. What time will it show 74 minutes later? (a) 10:02 (b) 11:12 (c) 10:22 (d) 10:12
- 9.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 10.A clock shows 4:08. What time will it show 18 minutes later? (a) 4:36 (b) 4:16 (c) 5:26 (d) 4:26
- 11.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
- 12.A clock shows 9:27. What time will it show 33 minutes later? (a) 10:10 (b) 11:00 (c) 10:00 (d) 9:50
- 13.A clock shows 12:38. What time will it show 36 minutes later? (a) 1:14 (b) 2:14 (c) 1:24 (d) 1:04
- 14.A clock shows 12:13. What time will it show 43 minutes later? (a) 12:46 (b) 1:56 (c) 1:06 (d) 12:56
- 15.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 17.A clock shows 2:06. What time will it show 73 minutes later? (a) 3:09 (b) 4:19 (c) 3:29 (d) 3:19
- 18.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
- 19.How many degrees does the hour hand of a clock turn in 23 minutes? =
- 20.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 21.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
- 23.A clock shows 11:21. What time will it show 164 minutes later? (a) 2:05 (b) 2:15 (c) 3:05 (d) 1:55
- 24.A clock shows 3:30. What time will it show 38 minutes later? (a) 5:08 (b) 4:18 (c) 3:58 (d) 4:08
- 25.A clock shows 3:00. What time will it show 159 minutes later? (a) 5:29 (b) 6:39 (c) 5:49 (d) 5:39
- 26.A clock shows 4:27. What time will it show 63 minutes later? (a) 5:30 (b) 5:40 (c) 6:30 (d) 5:20
- 27.How many degrees does the hour hand of a clock turn in 136 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
- 31.A clock shows 11:59. What time will it show 91 minutes later? (a) 1:40 (b) 2:30 (c) 1:30 (d) 1:20
- 32.How many degrees does the hour hand of a clock turn in 55 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
- 37.How many degrees does the hour hand of a clock turn in 41 minutes? =
- 38.A clock shows 1:11. What time will it show 72 minutes later? (a) 2:33 (b) 2:23 (c) 3:23 (d) 2:13
- 39.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
- 40.A clock shows 5:03. What time will it show 98 minutes later? (a) 6:51 (b) 6:31 (c) 6:41 (d) 7:41
Answer key
- 24.5
- 6:47
- 3:06
- 75
- 173
- 4:29
- 87
- 10:12
- 342
- 4:26
- 177
- 10:00
- 1:14
- 12:56
- 76.5
- 162
- 3:19
- 148
- 11.5
- 102
- 54
- 98.5
- 2:05
- 4:08
- 5:39
- 5:30
- 68
- 53
- 91.5
- 51
- 1:30
- 27.5
- 78.5
- 55
- 216
- 30
- 20.5
- 2:23
- 2
- 6:41
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