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 8:01. What time will it show 63 minutes later? (a) 8:54 (b) 9:14 (c) 10:04 (d) 9:04
- 2.A clock shows 1:28. What time will it show 132 minutes later? (a) 4:40 (b) 3:40 (c) 3:30 (d) 3:50
- 3.A clock shows 11:12. What time will it show 143 minutes later? (a) 1:25 (b) 1:45 (c) 1:35 (d) 2:35
- 4.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 12:13? (in degrees) =
- 6.A clock shows 8:35. What time will it show 138 minutes later? (a) 11:53 (b) 10:43 (c) 11:03 (d) 10:53
- 7.How many degrees does the hour hand of a clock turn in 161 minutes? =
- 8.A clock shows 6:57. What time will it show 43 minutes later? (a) 8:40 (b) 7:50 (c) 7:30 (d) 7:40
- 9.How many degrees does the hour hand of a clock turn in 109 minutes? =
- 10.How many degrees does the hour hand of a clock turn in 136 minutes? =
- 11.A clock shows 2:55. What time will it show 57 minutes later? (a) 4:52 (b) 4:02 (c) 3:42 (d) 3:52
- 12.What is the smaller angle between the hour hand and the minute hand at 6:39? (in degrees) =
- 13.A clock shows 12:24. What time will it show 162 minutes later? (a) 3:16 (b) 3:06 (c) 2:56 (d) 4:06
- 14.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 139 minutes? =
- 18.How many degrees does the hour hand of a clock turn in 103 minutes? =
- 19.A clock shows 10:50. What time will it show 86 minutes later? (a) 12:16 (b) 1:16 (c) 12:06 (d) 12:26
- 20.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 21.A clock shows 1:09. What time will it show 62 minutes later? (a) 2:01 (b) 2:21 (c) 3:11 (d) 2:11
- 22.A clock shows 10:56. What time will it show 128 minutes later? (a) 1:04 (b) 2:04 (c) 12:54 (d) 1:14
- 23.A clock shows 12:31. What time will it show 126 minutes later? (a) 2:37 (b) 2:27 (c) 2:47 (d) 3:37
- 24.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 173 minutes? =
- 28.A clock shows 9:05. What time will it show 111 minutes later? (a) 11:06 (b) 10:56 (c) 10:46 (d) 11:56
- 29.A clock shows 11:00. What time will it show 120 minutes later? (a) 12:50 (b) 2:00 (c) 1:10 (d) 1:00
- 30.A clock shows 5:08. What time will it show 157 minutes later? (a) 7:45 (b) 8:45 (c) 7:35 (d) 7:55
- 31.How many degrees does the hour hand of a clock turn in 53 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
- 33.How many degrees does the hour hand of a clock turn in 124 minutes? =
- 34.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 35.How many degrees does the hour hand of a clock turn in 63 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 88 minutes? =
- 37.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 38.A clock shows 2:47. What time will it show 75 minutes later? (a) 3:52 (b) 4:02 (c) 4:12 (d) 5:02
- 39.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
Answer key
- 9:04
- 3:40
- 1:35
- 91.5
- 71.5
- 10:53
- 80.5
- 7:40
- 54.5
- 68
- 3:52
- 34.5
- 3:06
- 57.5
- 152
- 79.5
- 69.5
- 51.5
- 12:16
- 138
- 2:11
- 1:04
- 2:37
- 120.5
- 97
- 157
- 86.5
- 10:56
- 1:00
- 7:45
- 26.5
- 130.5
- 62
- 144
- 31.5
- 44
- 90
- 4:02
- 78
- 9.5
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