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 50 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
- 3.A clock shows 4:02. What time will it show 109 minutes later? (a) 6:51 (b) 5:51 (c) 5:41 (d) 6:01
- 4.A clock shows 1:25. What time will it show 82 minutes later? (a) 2:37 (b) 2:57 (c) 3:47 (d) 2:47
- 5.A clock shows 1:16. What time will it show 168 minutes later? (a) 5:04 (b) 3:54 (c) 4:14 (d) 4:04
- 6.A clock shows 7:26. What time will it show 98 minutes later? (a) 10:04 (b) 9:04 (c) 8:54 (d) 9:14
- 7.A clock shows 10:58. What time will it show 115 minutes later? (a) 1:53 (b) 12:43 (c) 12:53 (d) 1:03
- 8.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
- 12.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
- 16.A clock shows 12:53. What time will it show 77 minutes later? (a) 2:10 (b) 2:00 (c) 2:20 (d) 3:10
- 17.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
- 20.A clock shows 11:08. What time will it show 25 minutes later? (a) 11:33 (b) 11:43 (c) 11:23 (d) 12:33
- 21.A clock shows 11:28. What time will it show 54 minutes later? (a) 12:32 (b) 12:22 (c) 1:22 (d) 12:12
- 22.How many degrees does the hour hand of a clock turn in 172 minutes? =
- 23.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
- 25.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 26.A clock shows 12:07. What time will it show 57 minutes later? (a) 12:54 (b) 1:14 (c) 2:04 (d) 1:04
- 27.A clock shows 9:12. What time will it show 28 minutes later? (a) 9:50 (b) 9:30 (c) 9:40 (d) 10:40
- 28.A clock shows 8:42. What time will it show 83 minutes later? (a) 11:05 (b) 9:55 (c) 10:15 (d) 10:05
- 29.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 30.A clock shows 10:50. What time will it show 120 minutes later? (a) 12:40 (b) 1:00 (c) 1:50 (d) 12:50
- 31.A clock shows 10:27. What time will it show 72 minutes later? (a) 12:39 (b) 11:29 (c) 11:39 (d) 11:49
- 32.A clock shows 1:28. What time will it show 41 minutes later? (a) 2:09 (b) 2:19 (c) 3:09 (d) 1:59
- 33.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 35.A clock shows 10:11. What time will it show 122 minutes later? (a) 12:03 (b) 12:13 (c) 12:23 (d) 1:13
- 36.A clock shows 11:39. What time will it show 53 minutes later? (a) 12:32 (b) 1:32 (c) 12:22 (d) 12:42
- 37.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
- 38.A clock shows 5:48. What time will it show 16 minutes later? (a) 6:14 (b) 6:04 (c) 7:04 (d) 5:54
- 39.What is the smaller angle between the hour hand and the minute hand at 10:18? (in degrees) =
- 40.A clock shows 4:21. What time will it show 143 minutes later? (a) 6:44 (b) 7:44 (c) 6:34 (d) 6:54
Answer key
- 25
- 79.5
- 5:51
- 2:47
- 4:04
- 9:04
- 12:53
- 81.5
- 174
- 102
- 42.5
- 156
- 166.5
- 99.5
- 58.5
- 2:10
- 106.5
- 83.5
- 46.5
- 11:33
- 12:22
- 86
- 216
- 65.5
- 132
- 1:04
- 9:40
- 10:05
- 294
- 12:50
- 11:39
- 2:09
- 0.5
- 126
- 12:13
- 12:32
- 142
- 6:04
- 159
- 6:44
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