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 12:52? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
- 5.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
- 11.A clock shows 10:26. What time will it show 102 minutes later? (a) 1:08 (b) 11:58 (c) 12:18 (d) 12:08
- 12.A clock shows 9:58. What time will it show 49 minutes later? (a) 10:47 (b) 10:57 (c) 11:47 (d) 10:37
- 13.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 12:27? (in degrees) =
- 19.A clock shows 10:45. What time will it show 86 minutes later? (a) 12:01 (b) 12:11 (c) 12:21 (d) 1:11
- 20.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
- 23.How many degrees does the hour hand of a clock turn in 160 minutes? =
- 24.How many degrees does the hour hand of a clock turn in 31 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 7:57? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 171 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 7:28? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
- 31.A clock shows 7:22. What time will it show 30 minutes later? (a) 8:52 (b) 7:42 (c) 7:52 (d) 8:02
- 32.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 33.A clock shows 4:42. What time will it show 108 minutes later? (a) 6:30 (b) 6:40 (c) 7:30 (d) 6:20
- 34.How many degrees does the hour hand of a clock turn in 81 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 12:38? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
Answer key
- 74
- 20.5
- 84.5
- 58
- 84
- 174.5
- 83
- 37
- 39
- 150.5
- 12:08
- 10:47
- 152
- 246
- 48.5
- 134
- 64.5
- 148.5
- 12:11
- 7.5
- 78
- 175
- 80
- 15.5
- 54
- 103.5
- 79
- 85.5
- 56
- 76
- 7:52
- 234
- 6:30
- 40.5
- 162
- 158
- 151
- 78
- 126
- 139
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