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 1:52. What time will it show 47 minutes later? (a) 2:29 (b) 3:39 (c) 2:39 (d) 2:49
- 2.How many degrees does the hour hand of a clock turn in 105 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
- 4.A clock shows 9:19. What time will it show 56 minutes later? (a) 10:05 (b) 11:15 (c) 10:15 (d) 10:25
- 5.A clock shows 5:22. What time will it show 163 minutes later? (a) 8:15 (b) 7:55 (c) 9:05 (d) 8:05
- 6.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
- 8.A clock shows 12:32. What time will it show 95 minutes later? (a) 2:07 (b) 3:07 (c) 1:57 (d) 2:17
- 9.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 10.A clock shows 8:40. What time will it show 169 minutes later? (a) 11:39 (b) 11:19 (c) 12:29 (d) 11:29
- 11.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 12.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 13.A clock shows 7:16. What time will it show 59 minutes later? (a) 8:05 (b) 8:25 (c) 9:15 (d) 8:15
- 14.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
- 15.A clock shows 5:03. What time will it show 110 minutes later? (a) 6:43 (b) 7:53 (c) 7:03 (d) 6:53
- 16.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 59 minutes? =
- 18.A clock shows 2:33. What time will it show 153 minutes later? (a) 4:56 (b) 5:06 (c) 6:06 (d) 5:16
- 19.How many degrees does the hour hand of a clock turn in 20 minutes? =
- 20.How many degrees does the hour hand of a clock turn in 119 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 132 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 125 minutes? =
- 23.A clock shows 6:03. What time will it show 33 minutes later? (a) 6:36 (b) 6:26 (c) 6:46 (d) 7:36
- 24.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
- 25.A clock shows 9:53. What time will it show 79 minutes later? (a) 12:12 (b) 11:02 (c) 11:22 (d) 11:12
- 26.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 28.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
- 31.A clock shows 10:06. What time will it show 16 minutes later? (a) 10:12 (b) 10:32 (c) 10:22 (d) 11:22
- 32.A clock shows 6:09. What time will it show 152 minutes later? (a) 8:31 (b) 8:41 (c) 8:51 (d) 9:41
- 33.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 34.A clock shows 8:18. What time will it show 57 minutes later? (a) 10:15 (b) 9:05 (c) 9:25 (d) 9:15
- 35.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
- 36.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 37.How many degrees does the hour hand of a clock turn in 173 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 25 minutes? =
Answer key
- 2:39
- 52.5
- 170
- 10:15
- 8:05
- 46.5
- 150
- 2:07
- 36
- 11:29
- 348
- 108
- 8:15
- 157
- 6:53
- 150.5
- 29.5
- 5:06
- 10
- 59.5
- 66
- 62.5
- 6:36
- 146.5
- 11:12
- 77.5
- 306
- 96
- 101.5
- 70
- 10:22
- 8:41
- 54
- 9:15
- 119
- 24
- 86.5
- 54.5
- 15.5
- 12.5
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