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.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
- 3.A clock shows 7:03. What time will it show 70 minutes later? (a) 8:23 (b) 9:13 (c) 8:13 (d) 8:03
- 4.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
- 5.A clock shows 12:18. What time will it show 66 minutes later? (a) 1:34 (b) 1:24 (c) 2:24 (d) 1:14
- 6.A clock shows 9:16. What time will it show 169 minutes later? (a) 11:55 (b) 12:05 (c) 1:05 (d) 12:15
- 7.A clock shows 8:07. What time will it show 167 minutes later? (a) 11:04 (b) 10:54 (c) 10:44 (d) 11:54
- 8.A clock shows 6:03. What time will it show 152 minutes later? (a) 8:25 (b) 9:35 (c) 8:35 (d) 8:45
- 9.A clock shows 9:29. What time will it show 119 minutes later? (a) 11:18 (b) 11:28 (c) 12:28 (d) 11:38
- 10.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 31 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 145 minutes? =
- 13.A clock shows 9:17. What time will it show 82 minutes later? (a) 10:29 (b) 11:39 (c) 10:49 (d) 10:39
- 14.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
- 16.How many degrees does the hour hand of a clock turn in 29 minutes? =
- 17.How many degrees does the hour hand of a clock turn in 38 minutes? =
- 18.How many degrees does the hour hand of a clock turn in 104 minutes? =
- 19.A clock shows 2:54. What time will it show 51 minutes later? (a) 4:45 (b) 3:35 (c) 3:45 (d) 3:55
- 20.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
- 21.A clock shows 6:17. What time will it show 153 minutes later? (a) 8:50 (b) 9:50 (c) 8:40 (d) 9:00
- 22.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 24.A clock shows 8:19. What time will it show 148 minutes later? (a) 10:47 (b) 11:47 (c) 10:57 (d) 10:37
- 25.A clock shows 2:17. What time will it show 113 minutes later? (a) 4:20 (b) 4:10 (c) 4:00 (d) 5:10
- 26.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =
- 27.A clock shows 8:29. What time will it show 72 minutes later? (a) 9:31 (b) 9:51 (c) 9:41 (d) 10:41
- 28.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
- 29.A clock shows 11:45. What time will it show 158 minutes later? (a) 2:33 (b) 3:23 (c) 2:13 (d) 2:23
- 30.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
- 33.A clock shows 1:06. What time will it show 50 minutes later? (a) 2:56 (b) 1:56 (c) 1:46 (d) 2:06
- 34.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 35.A clock shows 7:11. What time will it show 103 minutes later? (a) 8:44 (b) 8:54 (c) 9:54 (d) 9:04
- 36.How many degrees does the hour hand of a clock turn in 87 minutes? =
- 37.A clock shows 12:52. What time will it show 53 minutes later? (a) 1:45 (b) 1:55 (c) 1:35 (d) 2:45
- 38.A clock shows 6:43. What time will it show 98 minutes later? (a) 8:21 (b) 9:21 (c) 8:11 (d) 8:31
- 39.A clock shows 9:45. What time will it show 27 minutes later? (a) 11:12 (b) 10:02 (c) 10:22 (d) 10:12
- 40.How many degrees does the hour hand of a clock turn in 16 minutes? =
Answer key
- 144
- 20
- 8:13
- 154.5
- 1:24
- 12:05
- 10:54
- 8:35
- 11:28
- 69.5
- 15.5
- 72.5
- 10:39
- 31.5
- 48.5
- 14.5
- 19
- 52
- 3:45
- 165.5
- 8:50
- 84
- 108
- 10:47
- 4:10
- 14.5
- 9:41
- 101
- 2:23
- 30
- 123
- 166
- 1:56
- 276
- 8:54
- 43.5
- 1:45
- 8:21
- 10:12
- 8
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