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 48 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
- 3.A clock shows 3:00. What time will it show 104 minutes later? (a) 4:54 (b) 5:44 (c) 4:44 (d) 4:34
- 4.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
- 6.A clock shows 4:14. What time will it show 163 minutes later? (a) 6:57 (b) 6:47 (c) 7:57 (d) 7:07
- 7.What is the smaller angle between the hour hand and the minute hand at 9:43? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 9.A clock shows 11:47. What time will it show 10 minutes later? (a) 11:57 (b) 12:57 (c) 12:07 (d) 11:47
- 10.A clock shows 3:59. What time will it show 21 minutes later? (a) 4:20 (b) 4:30 (c) 5:20 (d) 4:10
- 11.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
- 13.A clock shows 2:14. What time will it show 150 minutes later? (a) 4:44 (b) 5:44 (c) 4:34 (d) 4:54
- 14.How many degrees does the hour hand of a clock turn in 141 minutes? =
- 15.A clock shows 11:32. What time will it show 146 minutes later? (a) 2:08 (b) 2:58 (c) 1:58 (d) 1:48
- 16.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 17.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
- 19.A clock shows 2:37. What time will it show 39 minutes later? (a) 3:06 (b) 4:16 (c) 3:16 (d) 3:26
- 20.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
- 21.How many degrees does the hour hand of a clock turn in 37 minutes? =
- 22.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 23.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
- 28.A clock shows 8:00. What time will it show 21 minutes later? (a) 8:31 (b) 9:21 (c) 8:11 (d) 8:21
- 29.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
- 30.A clock shows 3:54. What time will it show 70 minutes later? (a) 4:54 (b) 5:14 (c) 6:04 (d) 5:04
- 31.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
- 33.A clock shows 8:37. What time will it show 45 minutes later? (a) 9:22 (b) 9:12 (c) 9:32 (d) 10:22
- 34.How many degrees does the hour hand of a clock turn in 157 minutes? =
- 35.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
- 37.A clock shows 11:49. What time will it show 88 minutes later? (a) 1:07 (b) 1:17 (c) 1:27 (d) 2:17
- 38.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
- 39.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 40.How many degrees does the minute hand of a clock turn in 41 minutes? =
Answer key
- 288
- 29
- 4:44
- 144.5
- 154.5
- 6:57
- 33.5
- 72
- 11:57
- 4:20
- 176.5
- 158
- 4:44
- 70.5
- 1:58
- 168
- 174
- 173.5
- 3:16
- 25.5
- 18.5
- 282
- 192
- 83
- 80.5
- 34
- 112.5
- 8:21
- 151
- 5:04
- 354
- 20
- 9:22
- 78.5
- 348
- 2.5
- 1:17
- 141
- 24
- 246
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