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 hour hand of a clock turn in 44 minutes? =
- 2.A clock shows 5:26. What time will it show 119 minutes later? (a) 7:25 (b) 8:25 (c) 7:35 (d) 7:15
- 3.A clock shows 8:21. What time will it show 33 minutes later? (a) 9:04 (b) 9:54 (c) 8:54 (d) 8:44
- 4.How many degrees does the hour hand of a clock turn in 174 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
- 6.How many degrees does the hour hand of a clock turn in 22 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
- 8.A clock shows 1:37. What time will it show 103 minutes later? (a) 3:20 (b) 4:20 (c) 3:10 (d) 3:30
- 9.How many degrees does the hour hand of a clock turn in 140 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 12.A clock shows 9:57. What time will it show 26 minutes later? (a) 10:13 (b) 11:23 (c) 10:33 (d) 10:23
- 13.How many degrees does the hour hand of a clock turn in 64 minutes? =
- 14.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
- 18.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 19.A clock shows 5:53. What time will it show 92 minutes later? (a) 8:25 (b) 7:35 (c) 7:15 (d) 7:25
- 20.A clock shows 7:51. What time will it show 167 minutes later? (a) 10:48 (b) 10:28 (c) 10:38 (d) 11:38
- 21.A clock shows 11:07. What time will it show 71 minutes later? (a) 12:18 (b) 12:28 (c) 12:08 (d) 1:18
- 22.A clock shows 1:19. What time will it show 111 minutes later? (a) 3:10 (b) 4:10 (c) 3:00 (d) 3:20
- 23.What is the smaller angle between the hour hand and the minute hand at 7:38? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
- 26.How many degrees does the hour hand of a clock turn in 142 minutes? =
- 27.A clock shows 2:52. What time will it show 137 minutes later? (a) 6:09 (b) 5:19 (c) 5:09 (d) 4:59
- 28.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
- 30.A clock shows 1:26. What time will it show 57 minutes later? (a) 2:13 (b) 2:33 (c) 2:23 (d) 3:23
- 31.A clock shows 10:03. What time will it show 31 minutes later? (a) 10:44 (b) 10:24 (c) 10:34 (d) 11:34
- 32.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
- 33.A clock shows 6:54. What time will it show 166 minutes later? (a) 9:40 (b) 10:40 (c) 9:50 (d) 9:30
- 34.How many degrees does the hour hand of a clock turn in 170 minutes? =
- 35.A clock shows 6:45. What time will it show 92 minutes later? (a) 9:17 (b) 8:27 (c) 8:17 (d) 8:07
- 36.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 40.A clock shows 11:36. What time will it show 93 minutes later? (a) 12:59 (b) 2:09 (c) 1:19 (d) 1:09
Answer key
- 22
- 7:25
- 8:54
- 87
- 26.5
- 11
- 93
- 3:20
- 70
- 20.5
- 342
- 10:23
- 32
- 354
- 41.5
- 276
- 14
- 48
- 7:25
- 10:38
- 12:18
- 3:10
- 1
- 60.5
- 124.5
- 71
- 5:09
- 94
- 120
- 2:23
- 10:34
- 68
- 9:40
- 85
- 8:17
- 66
- 155.5
- 288
- 84
- 1:09
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