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.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 5:44? (in degrees) =
- 3.A clock shows 8:55. What time will it show 150 minutes later? (a) 12:25 (b) 11:25 (c) 11:15 (d) 11:35
- 4.A clock shows 6:02. What time will it show 132 minutes later? (a) 8:24 (b) 8:04 (c) 9:14 (d) 8:14
- 5.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =
- 10.A clock shows 9:08. What time will it show 59 minutes later? (a) 9:57 (b) 10:07 (c) 10:17 (d) 11:07
- 11.A clock shows 11:12. What time will it show 56 minutes later? (a) 12:08 (b) 11:58 (c) 1:08 (d) 12:18
- 12.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 13.A clock shows 9:46. What time will it show 75 minutes later? (a) 11:11 (b) 11:01 (c) 12:01 (d) 10:51
- 14.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
- 16.A clock shows 12:11. What time will it show 94 minutes later? (a) 1:35 (b) 2:45 (c) 1:55 (d) 1:45
- 17.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
- 18.How many degrees does the hour hand of a clock turn in 26 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
- 21.A clock shows 8:30. What time will it show 50 minutes later? (a) 9:10 (b) 9:30 (c) 9:20 (d) 10:20
- 22.How many degrees does the hour hand of a clock turn in 56 minutes? =
- 23.A clock shows 10:36. What time will it show 73 minutes later? (a) 11:39 (b) 11:49 (c) 11:59 (d) 12:49
- 24.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
- 26.A clock shows 1:54. What time will it show 26 minutes later? (a) 2:30 (b) 3:20 (c) 2:10 (d) 2:20
- 27.A clock shows 7:53. What time will it show 20 minutes later? (a) 8:03 (b) 9:13 (c) 8:13 (d) 8:23
- 28.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
- 29.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 30.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 31.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 7:28? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 117 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 16 minutes? =
Answer key
- 151
- 92
- 11:25
- 8:14
- 32
- 155
- 175
- 5
- 91
- 10:07
- 12:08
- 270
- 11:01
- 342
- 153.5
- 1:45
- 107.5
- 13
- 76
- 51
- 9:20
- 28
- 11:49
- 85.5
- 178
- 2:20
- 8:13
- 162.5
- 288
- 276
- 222
- 119.5
- 56
- 36
- 204
- 58.5
- 39.5
- 27
- 90.5
- 96
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