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 2:51? (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 4:27? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 163 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
- 6.A clock shows 2:02. What time will it show 73 minutes later? (a) 3:25 (b) 4:15 (c) 3:05 (d) 3:15
- 7.How many degrees does the hour hand of a clock turn in 64 minutes? =
- 8.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 1:32? (in degrees) =
- 12.A clock shows 1:05. What time will it show 91 minutes later? (a) 2:26 (b) 2:46 (c) 2:36 (d) 3:36
- 13.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
- 16.A clock shows 7:03. What time will it show 110 minutes later? (a) 9:03 (b) 8:43 (c) 9:53 (d) 8:53
- 17.How many degrees does the hour hand of a clock turn in 105 minutes? =
- 18.A clock shows 10:24. What time will it show 96 minutes later? (a) 11:50 (b) 12:00 (c) 12:10 (d) 1:00
- 19.How many degrees does the hour hand of a clock turn in 51 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 23.How many degrees does the hour hand of a clock turn in 61 minutes? =
- 24.A clock shows 3:40. What time will it show 57 minutes later? (a) 5:37 (b) 4:27 (c) 4:47 (d) 4:37
- 25.A clock shows 8:54. What time will it show 118 minutes later? (a) 10:42 (b) 11:52 (c) 11:02 (d) 10:52
- 26.What is the smaller angle between the hour hand and the minute hand at 7:51? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 28.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 29.How many degrees does the hour hand of a clock turn in 81 minutes? =
- 30.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
- 32.A clock shows 7:07. What time will it show 167 minutes later? (a) 10:54 (b) 9:54 (c) 10:04 (d) 9:44
- 33.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 12:41? (in degrees) =
- 35.How many degrees does the hour hand of a clock turn in 180 minutes? =
- 36.A clock shows 1:06. What time will it show 154 minutes later? (a) 3:50 (b) 3:30 (c) 3:40 (d) 4:40
- 37.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 9:43? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
Answer key
- 139.5
- 14
- 28.5
- 81.5
- 122
- 3:15
- 32
- 30
- 23
- 76
- 146
- 2:36
- 175
- 98
- 144.5
- 8:53
- 52.5
- 12:00
- 25.5
- 13
- 104
- 180
- 30.5
- 4:37
- 10:52
- 70.5
- 354
- 150
- 40.5
- 108
- 95.5
- 9:54
- 55.5
- 134.5
- 90
- 3:40
- 27
- 141
- 33.5
- 173.5
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