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 14 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
- 3.A clock shows 4:31. What time will it show 149 minutes later? (a) 6:50 (b) 8:00 (c) 7:00 (d) 7:10
- 4.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
- 7.A clock shows 5:52. What time will it show 36 minutes later? (a) 7:28 (b) 6:38 (c) 6:28 (d) 6:18
- 8.A clock shows 2:12. What time will it show 85 minutes later? (a) 3:47 (b) 3:27 (c) 3:37 (d) 4:37
- 9.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 12:55? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 15.A clock shows 5:37. What time will it show 160 minutes later? (a) 9:17 (b) 8:07 (c) 8:17 (d) 8:27
- 16.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 17.A clock shows 10:57. What time will it show 107 minutes later? (a) 12:44 (b) 1:44 (c) 12:54 (d) 12:34
- 18.A clock shows 11:15. What time will it show 28 minutes later? (a) 11:53 (b) 12:43 (c) 11:43 (d) 11:33
- 19.How many degrees does the hour hand of a clock turn in 158 minutes? =
- 20.A clock shows 3:49. What time will it show 120 minutes later? (a) 6:49 (b) 5:39 (c) 5:59 (d) 5:49
- 21.A clock shows 3:25. What time will it show 115 minutes later? (a) 5:20 (b) 5:30 (c) 6:20 (d) 5:10
- 22.A clock shows 12:13. What time will it show 108 minutes later? (a) 3:01 (b) 2:01 (c) 1:51 (d) 2:11
- 23.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 142 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 5:44? (in degrees) =
- 29.How many degrees does the hour hand of a clock turn in 12 minutes? =
- 30.A clock shows 8:48. What time will it show 121 minutes later? (a) 11:49 (b) 10:39 (c) 10:49 (d) 10:59
- 31.How many degrees does the hour hand of a clock turn in 30 minutes? =
- 32.How many degrees does the hour hand of a clock turn in 132 minutes? =
- 33.A clock shows 7:27. What time will it show 54 minutes later? (a) 9:21 (b) 8:11 (c) 8:31 (d) 8:21
- 34.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
- 37.How many degrees does the hour hand of a clock turn in 154 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
- 40.A clock shows 12:01. What time will it show 82 minutes later? (a) 1:13 (b) 1:23 (c) 1:33 (d) 2:23
Answer key
- 84
- 23
- 7:00
- 12
- 135.5
- 143.5
- 6:28
- 3:37
- 4
- 45
- 132.5
- 145.5
- 57.5
- 198
- 8:17
- 216
- 12:44
- 11:43
- 79
- 5:49
- 5:20
- 2:01
- 126
- 138
- 102
- 148
- 71
- 92
- 6
- 10:49
- 15
- 66
- 8:21
- 18.5
- 36
- 129.5
- 77
- 134
- 47.5
- 1:23
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