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 1:42. What time will it show 117 minutes later? (a) 3:49 (b) 3:39 (c) 3:29 (d) 4:39
- 2.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 3.How many degrees does the hour hand of a clock turn in 37 minutes? =
- 4.A clock shows 7:44. What time will it show 112 minutes later? (a) 9:46 (b) 10:36 (c) 9:36 (d) 9:26
- 5.A clock shows 8:12. What time will it show 17 minutes later? (a) 8:39 (b) 8:19 (c) 8:29 (d) 9:29
- 6.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
- 8.How many degrees does the hour hand of a clock turn in 149 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 94 minutes? =
- 11.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 47 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 11:18? (in degrees) =
- 15.A clock shows 8:48. What time will it show 13 minutes later? (a) 8:51 (b) 10:01 (c) 9:01 (d) 9:11
- 16.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
- 17.A clock shows 7:32. What time will it show 134 minutes later? (a) 9:46 (b) 9:36 (c) 9:56 (d) 10:46
- 18.A clock shows 10:04. What time will it show 120 minutes later? (a) 11:54 (b) 12:14 (c) 12:04 (d) 1:04
- 19.A clock shows 4:50. What time will it show 136 minutes later? (a) 7:16 (b) 6:56 (c) 7:06 (d) 8:06
- 20.How many degrees does the hour hand of a clock turn in 175 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
- 24.How many degrees does the hour hand of a clock turn in 116 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 27.A clock shows 3:12. What time will it show 69 minutes later? (a) 4:31 (b) 5:21 (c) 4:11 (d) 4:21
- 28.How many degrees does the hour hand of a clock turn in 142 minutes? =
- 29.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 30.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
- 32.A clock shows 11:57. What time will it show 158 minutes later? (a) 3:35 (b) 2:45 (c) 2:25 (d) 2:35
- 33.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 35.A clock shows 7:16. What time will it show 20 minutes later? (a) 7:26 (b) 8:36 (c) 7:36 (d) 7:46
- 36.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
- 38.A clock shows 12:06. What time will it show 11 minutes later? (a) 12:27 (b) 12:07 (c) 1:17 (d) 12:17
- 39.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 41 minutes? =
Answer key
- 3:39
- 24
- 18.5
- 9:36
- 8:29
- 84
- 90
- 74.5
- 90.5
- 47
- 114
- 23.5
- 97.5
- 129
- 9:01
- 50
- 9:46
- 12:04
- 7:06
- 87.5
- 166.5
- 300
- 126
- 58
- 170
- 48
- 4:21
- 71
- 222
- 270
- 54.5
- 2:35
- 135
- 216
- 7:36
- 151
- 43.5
- 12:17
- 113.5
- 246
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