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 58 minutes? =
- 2.A clock shows 6:12. What time will it show 137 minutes later? (a) 9:29 (b) 8:39 (c) 8:19 (d) 8:29
- 3.A clock shows 5:12. What time will it show 127 minutes later? (a) 7:19 (b) 8:19 (c) 7:29 (d) 7:09
- 4.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 129 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 7.How many degrees does the hour hand of a clock turn in 108 minutes? =
- 8.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 9.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 10.A clock shows 3:28. What time will it show 31 minutes later? (a) 4:59 (b) 4:09 (c) 3:59 (d) 3:49
- 11.What is the smaller angle between the hour hand and the minute hand at 5:56? (in degrees) =
- 12.A clock shows 11:58. What time will it show 74 minutes later? (a) 2:12 (b) 1:22 (c) 1:02 (d) 1:12
- 13.A clock shows 11:03. What time will it show 150 minutes later? (a) 2:33 (b) 1:23 (c) 1:33 (d) 1:43
- 14.How many degrees does the hour hand of a clock turn in 22 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 16.A clock shows 1:09. What time will it show 159 minutes later? (a) 4:48 (b) 3:48 (c) 3:38 (d) 3:58
- 17.A clock shows 9:32. What time will it show 145 minutes later? (a) 11:57 (b) 12:57 (c) 12:07 (d) 11:47
- 18.How many degrees does the hour hand of a clock turn in 14 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
- 22.A clock shows 4:39. What time will it show 96 minutes later? (a) 6:05 (b) 6:25 (c) 7:15 (d) 6:15
- 23.A clock shows 2:19. What time will it show 111 minutes later? (a) 4:00 (b) 4:10 (c) 5:10 (d) 4:20
- 24.How many degrees does the hour hand of a clock turn in 140 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
- 26.A clock shows 5:31. What time will it show 39 minutes later? (a) 6:00 (b) 7:10 (c) 6:10 (d) 6:20
- 27.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 29.A clock shows 4:52. What time will it show 21 minutes later? (a) 5:23 (b) 5:13 (c) 6:13 (d) 5:03
- 30.A clock shows 12:07. What time will it show 52 minutes later? (a) 12:49 (b) 1:59 (c) 12:59 (d) 1:09
- 31.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
- 33.A clock shows 3:45. What time will it show 77 minutes later? (a) 5:02 (b) 4:52 (c) 6:02 (d) 5:12
- 34.A clock shows 8:01. What time will it show 106 minutes later? (a) 10:47 (b) 9:57 (c) 9:37 (d) 9:47
- 35.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 36.A clock shows 3:29. What time will it show 132 minutes later? (a) 5:31 (b) 5:51 (c) 6:41 (d) 5:41
- 37.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
Answer key
- 348
- 8:29
- 7:19
- 93
- 64.5
- 264
- 54
- 198
- 27
- 3:59
- 158
- 1:12
- 1:33
- 11
- 252
- 3:48
- 11:57
- 7
- 98.5
- 18.5
- 27.5
- 6:15
- 4:10
- 70
- 11.5
- 6:10
- 152
- 162
- 5:13
- 12:59
- 76.5
- 110.5
- 5:02
- 9:47
- 126
- 5:41
- 93.5
- 210
- 142
- 87
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