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 5:28. What time will it show 116 minutes later? (a) 8:24 (b) 7:34 (c) 7:14 (d) 7:24
- 2.How many degrees does the hour hand of a clock turn in 95 minutes? =
- 3.A clock shows 9:50. What time will it show 82 minutes later? (a) 11:22 (b) 11:12 (c) 11:02 (d) 12:12
- 4.How many degrees does the hour hand of a clock turn in 34 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 161 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 140 minutes? =
- 12.A clock shows 8:27. What time will it show 131 minutes later? (a) 10:48 (b) 10:38 (c) 11:38 (d) 10:28
- 13.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 15.How many degrees does the hour hand of a clock turn in 118 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 22.A clock shows 10:14. What time will it show 43 minutes later? (a) 11:07 (b) 10:57 (c) 10:47 (d) 11:57
- 23.A clock shows 8:12. What time will it show 24 minutes later? (a) 8:26 (b) 9:36 (c) 8:36 (d) 8:46
- 24.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
- 26.A clock shows 11:47. What time will it show 118 minutes later? (a) 1:35 (b) 2:45 (c) 1:55 (d) 1:45
- 27.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 45 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
- 30.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
- 32.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 33.A clock shows 4:31. What time will it show 162 minutes later? (a) 7:03 (b) 8:13 (c) 7:13 (d) 7:23
- 34.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 36.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 37.A clock shows 6:23. What time will it show 68 minutes later? (a) 7:31 (b) 8:31 (c) 7:21 (d) 7:41
- 38.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
- 39.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
Answer key
- 7:24
- 47.5
- 11:12
- 17
- 80.5
- 154
- 240
- 117.5
- 137.5
- 89.5
- 70
- 10:38
- 65
- 318
- 59
- 152
- 89.5
- 151
- 348
- 23
- 270
- 10:57
- 8:36
- 16
- 6.5
- 1:45
- 154.5
- 22.5
- 39.5
- 186
- 17
- 126
- 7:13
- 110.5
- 354
- 54
- 7:31
- 116
- 102
- 132
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