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 59 minutes? =
- 2.A clock shows 11:42. What time will it show 22 minutes later? (a) 11:54 (b) 1:04 (c) 12:14 (d) 12:04
- 3.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 12 minutes? =
- 5.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
- 7.A clock shows 8:49. What time will it show 66 minutes later? (a) 10:55 (b) 10:05 (c) 9:45 (d) 9:55
- 8.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 11.How many degrees does the hour hand of a clock turn in 40 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
- 14.A clock shows 9:30. What time will it show 151 minutes later? (a) 1:01 (b) 11:51 (c) 12:01 (d) 12:11
- 15.A clock shows 6:45. What time will it show 54 minutes later? (a) 7:29 (b) 7:49 (c) 7:39 (d) 8:39
- 16.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 17.A clock shows 1:06. What time will it show 83 minutes later? (a) 2:19 (b) 2:29 (c) 3:29 (d) 2:39
- 18.A clock shows 11:34. What time will it show 92 minutes later? (a) 1:16 (b) 12:56 (c) 2:06 (d) 1:06
- 19.A clock shows 1:57. What time will it show 99 minutes later? (a) 3:46 (b) 3:26 (c) 3:36 (d) 4:36
- 20.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
- 21.A clock shows 11:16. What time will it show 100 minutes later? (a) 12:46 (b) 12:56 (c) 1:56 (d) 1:06
- 22.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 23.A clock shows 12:52. What time will it show 151 minutes later? (a) 3:23 (b) 3:13 (c) 4:23 (d) 3:33
- 24.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
- 25.A clock shows 9:47. What time will it show 37 minutes later? (a) 10:14 (b) 11:24 (c) 10:34 (d) 10:24
- 26.How many degrees does the hour hand of a clock turn in 14 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
- 29.A clock shows 2:11. What time will it show 132 minutes later? (a) 4:33 (b) 4:13 (c) 5:23 (d) 4:23
- 30.A clock shows 9:34. What time will it show 95 minutes later? (a) 12:09 (b) 11:09 (c) 10:59 (d) 11:19
- 31.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
- 32.A clock shows 3:19. What time will it show 50 minutes later? (a) 4:19 (b) 5:09 (c) 4:09 (d) 3:59
- 33.A clock shows 1:11. What time will it show 41 minutes later? (a) 1:42 (b) 2:52 (c) 2:02 (d) 1:52
- 34.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
- 36.A clock shows 3:31. What time will it show 110 minutes later? (a) 5:11 (b) 5:31 (c) 6:21 (d) 5:21
- 37.A clock shows 4:13. What time will it show 56 minutes later? (a) 6:09 (b) 5:19 (c) 4:59 (d) 5:09
- 38.A clock shows 11:46. What time will it show 128 minutes later? (a) 2:54 (b) 1:54 (c) 1:44 (d) 2:04
- 39.A clock shows 8:21. What time will it show 124 minutes later? (a) 11:25 (b) 10:15 (c) 10:35 (d) 10:25
- 40.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
Answer key
- 354
- 12:04
- 77
- 6
- 156
- 57.5
- 9:55
- 174.5
- 24
- 180
- 20
- 153.5
- 54.5
- 12:01
- 7:39
- 84
- 2:29
- 1:06
- 3:36
- 70
- 12:56
- 282
- 3:23
- 60
- 10:24
- 7
- 148
- 130
- 4:23
- 11:09
- 133.5
- 4:09
- 1:52
- 47.5
- 178.5
- 5:21
- 5:09
- 1:54
- 10:25
- 93
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