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 39 minutes? =
- 2.How many degrees does the hour hand of a clock turn in 99 minutes? =
- 3.A clock shows 10:16. What time will it show 86 minutes later? (a) 11:52 (b) 12:42 (c) 11:32 (d) 11:42
- 4.A clock shows 2:11. What time will it show 41 minutes later? (a) 3:02 (b) 2:42 (c) 2:52 (d) 3:52
- 5.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 8.A clock shows 9:10. What time will it show 142 minutes later? (a) 12:32 (b) 11:32 (c) 11:42 (d) 11:22
- 9.A clock shows 5:49. What time will it show 11 minutes later? (a) 7:00 (b) 5:50 (c) 6:00 (d) 6:10
- 10.How many degrees does the hour hand of a clock turn in 140 minutes? =
- 11.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 12.A clock shows 12:34. What time will it show 122 minutes later? (a) 3:36 (b) 2:26 (c) 2:36 (d) 2:46
- 13.How many degrees does the hour hand of a clock turn in 33 minutes? =
- 14.How many degrees does the hour hand of a clock turn in 16 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 45 minutes? =
- 18.A clock shows 7:27. What time will it show 165 minutes later? (a) 10:22 (b) 10:12 (c) 10:02 (d) 11:12
- 19.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
- 20.A clock shows 11:40. What time will it show 155 minutes later? (a) 3:15 (b) 2:25 (c) 2:05 (d) 2:15
- 21.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
- 23.A clock shows 2:51. What time will it show 108 minutes later? (a) 4:39 (b) 4:29 (c) 5:39 (d) 4:49
- 24.A clock shows 3:44. What time will it show 125 minutes later? (a) 5:59 (b) 5:39 (c) 5:49 (d) 6:49
- 25.A clock shows 6:45. What time will it show 164 minutes later? (a) 9:39 (b) 9:29 (c) 9:19 (d) 10:29
- 26.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 27.How many degrees does the hour hand of a clock turn in 175 minutes? =
- 28.A clock shows 7:54. What time will it show 161 minutes later? (a) 10:45 (b) 10:25 (c) 11:35 (d) 10:35
- 29.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 6:51? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
- 32.A clock shows 9:33. What time will it show 26 minutes later? (a) 9:49 (b) 10:59 (c) 9:59 (d) 10:09
- 33.How many degrees does the hour hand of a clock turn in 132 minutes? =
- 34.A clock shows 3:47. What time will it show 124 minutes later? (a) 6:51 (b) 5:41 (c) 5:51 (d) 6:01
- 35.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
- 36.A clock shows 10:40. What time will it show 143 minutes later? (a) 1:13 (b) 12:53 (c) 2:03 (d) 1:03
- 37.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
- 39.A clock shows 1:53. What time will it show 106 minutes later? (a) 3:29 (b) 3:49 (c) 4:39 (d) 3:39
- 40.How many degrees does the hour hand of a clock turn in 97 minutes? =
Answer key
- 234
- 49.5
- 11:42
- 2:52
- 106
- 17
- 306
- 11:32
- 6:00
- 70
- 90
- 2:36
- 16.5
- 8
- 138
- 126
- 22.5
- 10:12
- 78
- 2:15
- 140
- 40.5
- 4:39
- 5:49
- 9:29
- 132
- 87.5
- 10:35
- 32
- 100.5
- 155.5
- 9:59
- 66
- 5:51
- 72.5
- 1:03
- 124
- 28.5
- 3:39
- 48.5
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