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 1:52? (in degrees) =
- 2.How many degrees does the hour hand of a clock turn in 28 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
- 5.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 44 minutes? =
- 8.How many degrees does the hour hand of a clock turn in 60 minutes? =
- 9.A clock shows 2:03. What time will it show 130 minutes later? (a) 4:23 (b) 5:13 (c) 4:13 (d) 4:03
- 10.A clock shows 4:51. What time will it show 75 minutes later? (a) 6:16 (b) 5:56 (c) 7:06 (d) 6:06
- 11.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
- 12.A clock shows 8:57. What time will it show 20 minutes later? (a) 9:27 (b) 9:17 (c) 9:07 (d) 10:17
- 13.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 14.A clock shows 4:40. What time will it show 151 minutes later? (a) 7:21 (b) 7:11 (c) 7:01 (d) 8:11
- 15.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
- 16.A clock shows 3:58. What time will it show 53 minutes later? (a) 5:51 (b) 4:51 (c) 4:41 (d) 5:01
- 17.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
- 19.A clock shows 2:27. What time will it show 128 minutes later? (a) 4:35 (b) 5:35 (c) 4:45 (d) 4:25
- 20.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 6:58? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 9:44? (in degrees) =
- 25.A clock shows 3:22. What time will it show 146 minutes later? (a) 5:48 (b) 6:48 (c) 5:38 (d) 5:58
- 26.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 27.A clock shows 1:16. What time will it show 14 minutes later? (a) 1:20 (b) 1:30 (c) 1:40 (d) 2:30
- 28.A clock shows 4:32. What time will it show 77 minutes later? (a) 5:59 (b) 5:39 (c) 5:49 (d) 6:49
- 29.A clock shows 2:11. What time will it show 19 minutes later? (a) 2:40 (b) 2:30 (c) 2:20 (d) 3:30
- 30.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =
- 31.A clock shows 6:07. What time will it show 139 minutes later? (a) 9:26 (b) 8:26 (c) 8:36 (d) 8:16
- 32.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
- 33.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 34.A clock shows 1:50. What time will it show 34 minutes later? (a) 2:24 (b) 2:14 (c) 2:34 (d) 3:24
- 35.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
- 36.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 37.How many degrees does the hour hand of a clock turn in 118 minutes? =
- 38.How many degrees does the hour hand of a clock turn in 150 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
Answer key
- 104
- 14
- 171
- 33.5
- 354
- 100.5
- 22
- 30
- 4:13
- 6:06
- 56.5
- 9:17
- 126
- 7:11
- 79
- 4:51
- 276
- 165
- 4:35
- 115.5
- 147.5
- 84.5
- 139
- 28
- 5:48
- 108
- 1:30
- 5:49
- 2:30
- 49.5
- 8:26
- 137
- 330
- 2:24
- 74
- 246
- 59
- 75
- 138
- 101
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