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 8:26. What time will it show 114 minutes later? (a) 10:10 (b) 11:20 (c) 10:20 (d) 10:30
- 2.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
- 3.A clock shows 5:36. What time will it show 58 minutes later? (a) 6:24 (b) 6:34 (c) 6:44 (d) 7:34
- 4.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 7:35? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 133 minutes? =
- 8.A clock shows 7:02. What time will it show 37 minutes later? (a) 7:49 (b) 8:39 (c) 7:39 (d) 7:29
- 9.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
- 11.A clock shows 1:04. What time will it show 61 minutes later? (a) 1:55 (b) 2:15 (c) 3:05 (d) 2:05
- 12.A clock shows 6:06. What time will it show 169 minutes later? (a) 9:55 (b) 8:45 (c) 9:05 (d) 8:55
- 13.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 14.A clock shows 4:43. What time will it show 125 minutes later? (a) 7:48 (b) 6:58 (c) 6:38 (d) 6:48
- 15.A clock shows 3:58. What time will it show 108 minutes later? (a) 5:56 (b) 5:36 (c) 5:46 (d) 6:46
- 16.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
- 19.How many degrees does the hour hand of a clock turn in 142 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
- 23.How many degrees does the hour hand of a clock turn in 33 minutes? =
- 24.A clock shows 9:22. What time will it show 150 minutes later? (a) 12:52 (b) 11:52 (c) 11:42 (d) 12:02
- 25.A clock shows 9:49. What time will it show 59 minutes later? (a) 10:38 (b) 10:48 (c) 11:48 (d) 10:58
- 26.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 157 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
- 29.A clock shows 6:17. What time will it show 68 minutes later? (a) 8:25 (b) 7:25 (c) 7:35 (d) 7:15
- 30.A clock shows 9:07. What time will it show 113 minutes later? (a) 11:10 (b) 10:50 (c) 11:00 (d) 12:00
- 31.A clock shows 3:49. What time will it show 170 minutes later? (a) 6:39 (b) 7:39 (c) 6:49 (d) 6:29
- 32.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
- 33.A clock shows 4:11. What time will it show 31 minutes later? (a) 5:42 (b) 4:32 (c) 4:52 (d) 4:42
- 34.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 7:51? (in degrees) =
- 36.A clock shows 6:38. What time will it show 16 minutes later? (a) 7:54 (b) 6:44 (c) 6:54 (d) 7:04
- 37.How many degrees does the hour hand of a clock turn in 158 minutes? =
- 38.A clock shows 7:25. What time will it show 12 minutes later? (a) 7:27 (b) 7:47 (c) 8:37 (d) 7:37
- 39.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
Answer key
- 10:20
- 36
- 6:34
- 54
- 95.5
- 17.5
- 66.5
- 7:39
- 73
- 171
- 2:05
- 8:55
- 60
- 6:48
- 5:46
- 16
- 175.5
- 87
- 71
- 127
- 6
- 40.5
- 16.5
- 11:52
- 10:48
- 119.5
- 78.5
- 147
- 7:25
- 11:00
- 6:39
- 85.5
- 4:42
- 128.5
- 70.5
- 6:54
- 79
- 7:37
- 96
- 160
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