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 11 minutes? =
- 2.A clock shows 5:31. What time will it show 127 minutes later? (a) 8:38 (b) 7:48 (c) 7:38 (d) 7:28
- 3.How many degrees does the hour hand of a clock turn in 35 minutes? =
- 4.A clock shows 3:18. What time will it show 34 minutes later? (a) 4:02 (b) 3:52 (c) 4:52 (d) 3:42
- 5.How many degrees does the hour hand of a clock turn in 91 minutes? =
- 6.A clock shows 4:12. What time will it show 57 minutes later? (a) 4:59 (b) 5:09 (c) 6:09 (d) 5:19
- 7.A clock shows 9:58. What time will it show 55 minutes later? (a) 10:43 (b) 11:53 (c) 11:03 (d) 10:53
- 8.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 9.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
- 14.A clock shows 1:27. What time will it show 17 minutes later? (a) 2:44 (b) 1:34 (c) 1:54 (d) 1:44
- 15.A clock shows 6:30. What time will it show 95 minutes later? (a) 9:05 (b) 7:55 (c) 8:15 (d) 8:05
- 16.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
- 19.How many degrees does the hour hand of a clock turn in 68 minutes? =
- 20.A clock shows 10:40. What time will it show 45 minutes later? (a) 11:25 (b) 11:35 (c) 12:25 (d) 11:15
- 21.A clock shows 2:11. What time will it show 26 minutes later? (a) 2:27 (b) 2:37 (c) 3:37 (d) 2:47
- 22.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 24.How many degrees does the hour hand of a clock turn in 25 minutes? =
- 25.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
- 28.A clock shows 10:02. What time will it show 53 minutes later? (a) 11:55 (b) 10:55 (c) 11:05 (d) 10:45
- 29.A clock shows 3:19. What time will it show 40 minutes later? (a) 4:59 (b) 3:49 (c) 3:59 (d) 4:09
- 30.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
- 32.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
- 36.A clock shows 8:50. What time will it show 120 minutes later? (a) 11:50 (b) 10:50 (c) 10:40 (d) 11:00
- 37.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
- 39.A clock shows 10:01. What time will it show 149 minutes later? (a) 12:40 (b) 12:20 (c) 1:30 (d) 12:30
- 40.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
Answer key
- 66
- 7:38
- 17.5
- 3:52
- 45.5
- 5:09
- 10:53
- 186
- 18
- 134
- 10
- 114.5
- 3.5
- 1:44
- 8:05
- 49.5
- 9.5
- 161.5
- 34
- 11:25
- 2:37
- 39
- 306
- 12.5
- 65
- 149
- 56
- 10:55
- 3:59
- 90
- 90
- 114
- 95
- 16.5
- 102
- 10:50
- 176
- 59
- 12:30
- 91.5
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