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.A clock shows 2:00. What time will it show 85 minutes later? (a) 3:15 (b) 3:25 (c) 3:35 (d) 4:25
- 2.How many degrees does the hour hand of a clock turn in 17 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 10:49? (in degrees) =
- 6.A clock shows 6:58. What time will it show 77 minutes later? (a) 8:25 (b) 9:15 (c) 8:15 (d) 8:05
- 7.A clock shows 5:17. What time will it show 157 minutes later? (a) 7:54 (b) 8:54 (c) 8:04 (d) 7:44
- 8.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 9.A clock shows 9:04. What time will it show 112 minutes later? (a) 11:06 (b) 11:56 (c) 10:46 (d) 10:56
- 10.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
- 11.A clock shows 10:14. What time will it show 34 minutes later? (a) 10:48 (b) 10:38 (c) 10:58 (d) 11:48
- 12.A clock shows 7:22. What time will it show 12 minutes later? (a) 8:34 (b) 7:24 (c) 7:44 (d) 7:34
- 13.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
- 19.A clock shows 5:50. What time will it show 70 minutes later? (a) 6:50 (b) 8:00 (c) 7:10 (d) 7:00
- 20.What is the smaller angle between the hour hand and the minute hand at 9:51? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 9:22? (in degrees) =
- 22.A clock shows 5:49. What time will it show 113 minutes later? (a) 7:32 (b) 8:42 (c) 7:52 (d) 7:42
- 23.A clock shows 8:21. What time will it show 68 minutes later? (a) 9:39 (b) 9:19 (c) 9:29 (d) 10:29
- 24.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
- 25.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 26.A clock shows 4:28. What time will it show 109 minutes later? (a) 7:17 (b) 6:27 (c) 6:07 (d) 6:17
- 27.A clock shows 8:02. What time will it show 56 minutes later? (a) 9:08 (b) 8:58 (c) 9:58 (d) 8:48
- 28.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 29.A clock shows 12:48. What time will it show 129 minutes later? (a) 3:07 (b) 3:57 (c) 2:47 (d) 2:57
- 30.A clock shows 2:47. What time will it show 77 minutes later? (a) 3:54 (b) 4:14 (c) 4:04 (d) 5:04
- 31.A clock shows 3:08. What time will it show 130 minutes later? (a) 5:08 (b) 5:28 (c) 6:18 (d) 5:18
- 32.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
- 34.How many degrees does the hour hand of a clock turn in 85 minutes? =
- 35.How many degrees does the hour hand of a clock turn in 96 minutes? =
- 36.A clock shows 2:37. What time will it show 95 minutes later? (a) 4:12 (b) 4:02 (c) 5:12 (d) 4:22
- 37.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
Answer key
- 3:25
- 8.5
- 46.5
- 128
- 30.5
- 8:15
- 7:54
- 114
- 10:56
- 31
- 10:48
- 7:34
- 24.5
- 22.5
- 216
- 14.5
- 8.5
- 32
- 7:00
- 10.5
- 149
- 7:42
- 9:29
- 89.5
- 48
- 6:17
- 8:58
- 342
- 2:57
- 4:04
- 5:18
- 348
- 170.5
- 42.5
- 48
- 4:12
- 354
- 2
- 7.5
- 13
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