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 5:29. What time will it show 152 minutes later? (a) 9:01 (b) 8:11 (c) 8:01 (d) 7:51
- 2.How many degrees does the hour hand of a clock turn in 168 minutes? =
- 3.How many degrees does the hour hand of a clock turn in 47 minutes? =
- 4.How many degrees does the hour hand of a clock turn in 35 minutes? =
- 5.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
- 8.A clock shows 6:57. What time will it show 161 minutes later? (a) 9:48 (b) 9:28 (c) 9:38 (d) 10:38
- 9.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 30 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
- 13.How many degrees does the hour hand of a clock turn in 68 minutes? =
- 14.A clock shows 3:43. What time will it show 24 minutes later? (a) 3:57 (b) 5:07 (c) 4:07 (d) 4:17
- 15.A clock shows 3:15. What time will it show 29 minutes later? (a) 3:44 (b) 4:44 (c) 3:34 (d) 3:54
- 16.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 17.How many degrees does the hour hand of a clock turn in 46 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 10:58? (in degrees) =
- 19.A clock shows 12:09. What time will it show 30 minutes later? (a) 12:29 (b) 12:49 (c) 1:39 (d) 12:39
- 20.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 21.A clock shows 4:17. What time will it show 87 minutes later? (a) 6:44 (b) 5:54 (c) 5:34 (d) 5:44
- 22.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
- 23.A clock shows 1:48. What time will it show 103 minutes later? (a) 4:31 (b) 3:21 (c) 3:31 (d) 3:41
- 24.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
- 25.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 3:48? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 29.A clock shows 6:40. What time will it show 23 minutes later? (a) 6:53 (b) 7:03 (c) 8:03 (d) 7:13
- 30.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
- 34.How many degrees does the hour hand of a clock turn in 65 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
- 38.A clock shows 7:30. What time will it show 146 minutes later? (a) 9:46 (b) 10:06 (c) 10:56 (d) 9:56
- 39.A clock shows 12:04. What time will it show 123 minutes later? (a) 1:57 (b) 3:07 (c) 2:07 (d) 2:17
- 40.How many degrees does the minute hand of a clock turn in 46 minutes? =
Answer key
- 8:01
- 84
- 23.5
- 17.5
- 96
- 282
- 41.5
- 9:38
- 132
- 15
- 49
- 45.5
- 34
- 4:07
- 3:44
- 60
- 23
- 19
- 12:39
- 108
- 5:44
- 31.5
- 3:31
- 129.5
- 252
- 166
- 174
- 12
- 7:03
- 31.5
- 101
- 33
- 132.5
- 32.5
- 9.5
- 145
- 2.5
- 9:56
- 2:07
- 276
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