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 2:26. What time will it show 20 minutes later? (a) 2:46 (b) 3:46 (c) 2:36 (d) 2:56
- 2.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
- 4.A clock shows 5:50. What time will it show 21 minutes later? (a) 6:11 (b) 7:11 (c) 6:21 (d) 6:01
- 5.How many degrees does the hour hand of a clock turn in 92 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 179 minutes? =
- 8.A clock shows 11:44. What time will it show 146 minutes later? (a) 2:20 (b) 2:10 (c) 3:10 (d) 2:00
- 9.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 138 minutes? =
- 11.A clock shows 10:53. What time will it show 139 minutes later? (a) 1:02 (b) 2:12 (c) 1:22 (d) 1:12
- 12.A clock shows 2:34. What time will it show 32 minutes later? (a) 3:16 (b) 4:06 (c) 2:56 (d) 3:06
- 13.A clock shows 11:04. What time will it show 48 minutes later? (a) 11:42 (b) 12:52 (c) 12:02 (d) 11:52
- 14.A clock shows 3:04. What time will it show 42 minutes later? (a) 3:46 (b) 4:46 (c) 3:56 (d) 3:36
- 15.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 16.A clock shows 12:33. What time will it show 169 minutes later? (a) 3:32 (b) 3:12 (c) 4:22 (d) 3:22
- 17.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
- 18.A clock shows 11:52. What time will it show 49 minutes later? (a) 12:31 (b) 12:51 (c) 12:41 (d) 1:41
- 19.A clock shows 10:19. What time will it show 147 minutes later? (a) 12:46 (b) 12:56 (c) 12:36 (d) 1:46
- 20.What is the smaller angle between the hour hand and the minute hand at 6:12? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 23.A clock shows 10:45. What time will it show 24 minutes later? (a) 11:19 (b) 11:09 (c) 12:09 (d) 10:59
- 24.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
- 25.A clock shows 3:50. What time will it show 132 minutes later? (a) 6:12 (b) 7:02 (c) 5:52 (d) 6:02
- 26.A clock shows 1:14. What time will it show 99 minutes later? (a) 3:53 (b) 3:03 (c) 2:53 (d) 2:43
- 27.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 9:13? (in degrees) =
- 29.A clock shows 6:06. What time will it show 93 minutes later? (a) 7:29 (b) 8:39 (c) 7:49 (d) 7:39
- 30.A clock shows 10:07. What time will it show 95 minutes later? (a) 11:42 (b) 11:52 (c) 11:32 (d) 12:42
- 31.A clock shows 4:02. What time will it show 133 minutes later? (a) 7:15 (b) 6:15 (c) 6:05 (d) 6:25
- 32.How many degrees does the hour hand of a clock turn in 103 minutes? =
- 33.How many degrees does the hour hand of a clock turn in 147 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
- 36.How many degrees does the hour hand of a clock turn in 90 minutes? =
- 37.A clock shows 12:41. What time will it show 127 minutes later? (a) 2:38 (b) 2:58 (c) 2:48 (d) 3:48
- 38.A clock shows 2:17. What time will it show 75 minutes later? (a) 3:32 (b) 3:22 (c) 3:42 (d) 4:32
- 39.How many degrees does the hour hand of a clock turn in 22 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
Answer key
- 2:46
- 160.5
- 48
- 6:11
- 46
- 22
- 89.5
- 2:10
- 108.5
- 69
- 1:12
- 3:06
- 11:52
- 3:46
- 240
- 3:22
- 134
- 12:41
- 12:46
- 114
- 150
- 48
- 11:09
- 155
- 6:02
- 2:53
- 162.5
- 161.5
- 7:39
- 11:42
- 6:15
- 51.5
- 73.5
- 130
- 176.5
- 45
- 2:48
- 3:32
- 11
- 5
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