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 8:40. What time will it show 60 minutes later? (a) 9:30 (b) 9:50 (c) 9:40 (d) 10:40
- 2.A clock shows 4:30. What time will it show 79 minutes later? (a) 5:49 (b) 5:59 (c) 5:39 (d) 6:49
- 3.A clock shows 4:42. What time will it show 31 minutes later? (a) 5:03 (b) 6:13 (c) 5:23 (d) 5:13
- 4.How many degrees does the hour hand of a clock turn in 75 minutes? =
- 5.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 6.How many degrees does the hour hand of a clock turn in 40 minutes? =
- 7.How many degrees does the hour hand of a clock turn in 132 minutes? =
- 8.How many degrees does the hour hand of a clock turn in 76 minutes? =
- 9.A clock shows 8:37. What time will it show 124 minutes later? (a) 10:31 (b) 10:51 (c) 11:41 (d) 10:41
- 10.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
- 12.A clock shows 9:03. What time will it show 162 minutes later? (a) 11:55 (b) 12:45 (c) 11:45 (d) 11:35
- 13.A clock shows 6:35. What time will it show 139 minutes later? (a) 8:44 (b) 9:54 (c) 9:04 (d) 8:54
- 14.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 64 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
- 17.A clock shows 9:10. What time will it show 145 minutes later? (a) 11:35 (b) 11:45 (c) 12:35 (d) 11:25
- 18.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
- 19.A clock shows 2:04. What time will it show 88 minutes later? (a) 3:42 (b) 4:32 (c) 3:22 (d) 3:32
- 20.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
- 21.A clock shows 9:58. What time will it show 167 minutes later? (a) 12:55 (b) 1:45 (c) 12:35 (d) 12:45
- 22.What is the smaller angle between the hour hand and the minute hand at 9:13? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
- 25.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 26.A clock shows 7:12. What time will it show 115 minutes later? (a) 9:07 (b) 10:07 (c) 8:57 (d) 9:17
- 27.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 29 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
- 32.A clock shows 8:51. What time will it show 126 minutes later? (a) 11:57 (b) 10:47 (c) 11:07 (d) 10:57
- 33.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 34.A clock shows 6:25. What time will it show 23 minutes later? (a) 6:58 (b) 6:48 (c) 6:38 (d) 7:48
- 35.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
- 36.A clock shows 10:55. What time will it show 30 minutes later? (a) 12:25 (b) 11:15 (c) 11:35 (d) 11:25
- 37.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 180 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 40.How many degrees does the hour hand of a clock turn in 142 minutes? =
Answer key
- 9:40
- 5:49
- 5:13
- 37.5
- 12
- 20
- 66
- 38
- 10:41
- 130.5
- 152
- 11:45
- 8:54
- 131.5
- 32
- 49
- 11:35
- 8.5
- 3:32
- 134.5
- 12:45
- 161.5
- 30
- 6
- 66
- 9:07
- 25.5
- 14.5
- 177
- 58.5
- 91.5
- 10:57
- 102
- 6:48
- 43
- 11:25
- 24
- 90
- 138
- 71
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