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 hour hand of a clock turn in 49 minutes? =
- 2.A clock shows 6:59. What time will it show 165 minutes later? (a) 9:34 (b) 9:54 (c) 9:44 (d) 10:44
- 3.How many degrees does the hour hand of a clock turn in 58 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
- 5.A clock shows 10:41. What time will it show 169 minutes later? (a) 1:20 (b) 2:30 (c) 1:30 (d) 1:40
- 6.How many degrees does the hour hand of a clock turn in 28 minutes? =
- 7.How many degrees does the hour hand of a clock turn in 12 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 46 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
- 12.A clock shows 2:14. What time will it show 135 minutes later? (a) 4:19 (b) 4:29 (c) 4:39 (d) 5:29
- 13.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
- 17.A clock shows 3:37. What time will it show 140 minutes later? (a) 6:57 (b) 5:47 (c) 5:57 (d) 6:07
- 18.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
- 19.A clock shows 5:01. What time will it show 99 minutes later? (a) 7:40 (b) 6:50 (c) 6:40 (d) 6:30
- 20.A clock shows 10:42. What time will it show 79 minutes later? (a) 1:01 (b) 11:51 (c) 12:11 (d) 12:01
- 21.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
- 22.A clock shows 6:03. What time will it show 147 minutes later? (a) 8:30 (b) 9:30 (c) 8:40 (d) 8:20
- 23.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
- 25.A clock shows 5:04. What time will it show 39 minutes later? (a) 5:53 (b) 5:43 (c) 6:43 (d) 5:33
- 26.How many degrees does the hour hand of a clock turn in 38 minutes? =
- 27.A clock shows 8:41. What time will it show 163 minutes later? (a) 11:14 (b) 11:34 (c) 12:24 (d) 11:24
- 28.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
- 29.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 30.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
- 33.A clock shows 7:54. What time will it show 41 minutes later? (a) 8:35 (b) 9:35 (c) 8:45 (d) 8:25
- 34.A clock shows 11:47. What time will it show 86 minutes later? (a) 1:13 (b) 1:23 (c) 1:03 (d) 2:13
- 35.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 36.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 37.A clock shows 6:22. What time will it show 49 minutes later? (a) 8:11 (b) 7:01 (c) 7:21 (d) 7:11
- 38.How many degrees does the hour hand of a clock turn in 153 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 11:18? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
Answer key
- 24.5
- 9:44
- 29
- 170.5
- 1:30
- 14
- 6
- 45
- 120.5
- 23
- 71.5
- 4:29
- 40
- 104.5
- 90
- 21
- 5:57
- 162
- 6:40
- 12:01
- 139
- 8:30
- 44
- 171
- 5:43
- 19
- 11:24
- 51.5
- 252
- 312
- 70.5
- 151
- 8:35
- 1:13
- 168
- 24
- 7:11
- 76.5
- 129
- 66
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