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 130 minutes? =
- 2.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 3.A clock shows 7:27. What time will it show 161 minutes later? (a) 9:58 (b) 11:08 (c) 10:18 (d) 10:08
- 4.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
- 5.A clock shows 6:31. What time will it show 85 minutes later? (a) 7:46 (b) 7:56 (c) 8:06 (d) 8:56
- 6.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
- 9.How many degrees does the hour hand of a clock turn in 93 minutes? =
- 10.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
- 17.A clock shows 12:42. What time will it show 33 minutes later? (a) 1:05 (b) 1:25 (c) 1:15 (d) 2:15
- 18.How many degrees does the hour hand of a clock turn in 52 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
- 20.A clock shows 8:04. What time will it show 167 minutes later? (a) 11:01 (b) 11:51 (c) 10:41 (d) 10:51
- 21.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
- 22.How many degrees does the hour hand of a clock turn in 109 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 10:18? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
- 25.A clock shows 1:32. What time will it show 110 minutes later? (a) 3:32 (b) 4:22 (c) 3:22 (d) 3:12
- 26.A clock shows 12:01. What time will it show 31 minutes later? (a) 12:22 (b) 12:42 (c) 12:32 (d) 1:32
- 27.A clock shows 1:44. What time will it show 18 minutes later? (a) 2:02 (b) 1:52 (c) 3:02 (d) 2:12
- 28.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
- 30.How many degrees does the hour hand of a clock turn in 98 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
- 33.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 34.A clock shows 2:17. What time will it show 74 minutes later? (a) 3:31 (b) 3:21 (c) 3:41 (d) 4:31
- 35.A clock shows 6:12. What time will it show 117 minutes later? (a) 8:09 (b) 9:09 (c) 8:19 (d) 7:59
- 36.A clock shows 12:47. What time will it show 130 minutes later? (a) 3:57 (b) 2:57 (c) 3:07 (d) 2:47
- 37.A clock shows 8:54. What time will it show 102 minutes later? (a) 10:46 (b) 10:26 (c) 10:36 (d) 11:36
- 38.A clock shows 11:28. What time will it show 67 minutes later? (a) 12:45 (b) 12:25 (c) 1:35 (d) 12:35
- 39.How many degrees does the hour hand of a clock turn in 121 minutes? =
- 40.How many degrees does the minute hand of a clock turn in 48 minutes? =
Answer key
- 65
- 234
- 10:08
- 45.5
- 7:56
- 168
- 58
- 133
- 46.5
- 132
- 88.5
- 17
- 85
- 14
- 154.5
- 10
- 1:15
- 26
- 107.5
- 10:51
- 22.5
- 54.5
- 159
- 20.5
- 3:22
- 12:32
- 2:02
- 204
- 110
- 49
- 82
- 94.5
- 210
- 3:31
- 8:09
- 2:57
- 10:36
- 12:35
- 60.5
- 288
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