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 152 minutes? =
- 2.A clock shows 5:21. What time will it show 116 minutes later? (a) 7:27 (b) 8:17 (c) 7:07 (d) 7:17
- 3.A clock shows 8:02. What time will it show 122 minutes later? (a) 10:04 (b) 10:14 (c) 11:04 (d) 9:54
- 4.How many degrees does the hour hand of a clock turn in 78 minutes? =
- 5.A clock shows 2:09. What time will it show 80 minutes later? (a) 3:19 (b) 4:29 (c) 3:39 (d) 3:29
- 6.How many degrees does the hour hand of a clock turn in 127 minutes? =
- 7.A clock shows 3:29. What time will it show 51 minutes later? (a) 4:30 (b) 5:20 (c) 4:10 (d) 4:20
- 8.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
- 10.A clock shows 4:17. What time will it show 67 minutes later? (a) 5:34 (b) 5:14 (c) 6:24 (d) 5:24
- 11.A clock shows 9:17. What time will it show 98 minutes later? (a) 11:05 (b) 10:55 (c) 10:45 (d) 11:55
- 12.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 20.A clock shows 9:51. What time will it show 75 minutes later? (a) 12:06 (b) 10:56 (c) 11:16 (d) 11:06
- 21.A clock shows 6:39. What time will it show 79 minutes later? (a) 7:58 (b) 7:48 (c) 8:08 (d) 8:58
- 22.A clock shows 11:38. What time will it show 55 minutes later? (a) 12:23 (b) 1:33 (c) 12:43 (d) 12:33
- 23.A clock shows 11:25. What time will it show 145 minutes later? (a) 2:00 (b) 1:50 (c) 1:40 (d) 2:50
- 24.A clock shows 5:40. What time will it show 123 minutes later? (a) 7:53 (b) 8:43 (c) 7:43 (d) 7:33
- 25.How many degrees does the hour hand of a clock turn in 25 minutes? =
- 26.A clock shows 2:47. What time will it show 122 minutes later? (a) 4:39 (b) 4:49 (c) 4:59 (d) 5:49
- 27.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 29.A clock shows 8:11. What time will it show 101 minutes later? (a) 9:52 (b) 10:02 (c) 9:42 (d) 10:52
- 30.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 177 minutes? =
- 32.A clock shows 9:32. What time will it show 24 minutes later? (a) 10:06 (b) 10:56 (c) 9:56 (d) 9:46
- 33.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
- 34.How many degrees does the hour hand of a clock turn in 158 minutes? =
- 35.A clock shows 4:34. What time will it show 42 minutes later? (a) 5:26 (b) 5:06 (c) 5:16 (d) 6:16
- 36.How many degrees does the hour hand of a clock turn in 11 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 11:45? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
Answer key
- 76
- 7:17
- 10:04
- 39
- 3:29
- 63.5
- 4:20
- 264
- 177.5
- 5:24
- 10:55
- 176
- 67.5
- 24.5
- 270
- 119
- 131
- 13
- 36
- 11:06
- 7:58
- 12:33
- 1:50
- 7:43
- 12.5
- 4:49
- 85.5
- 114
- 9:52
- 150
- 88.5
- 9:56
- 31.5
- 79
- 5:16
- 5.5
- 82.5
- 138
- 51
- 57
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