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 hour hand of a clock turn in 108 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
- 3.How many degrees does the hour hand of a clock turn in 72 minutes? =
- 4.A clock shows 2:55. What time will it show 153 minutes later? (a) 5:38 (b) 6:28 (c) 5:28 (d) 5:18
- 5.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
- 6.A clock shows 8:35. What time will it show 63 minutes later? (a) 10:38 (b) 9:38 (c) 9:48 (d) 9:28
- 7.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 10.How many degrees does the hour hand of a clock turn in 33 minutes? =
- 11.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 12.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 102 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 16.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 17.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 15 minutes? =
- 20.A clock shows 12:02. What time will it show 41 minutes later? (a) 1:43 (b) 12:33 (c) 12:43 (d) 12:53
- 21.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
- 22.A clock shows 2:32. What time will it show 78 minutes later? (a) 4:00 (b) 4:50 (c) 3:50 (d) 3:40
- 23.A clock shows 9:26. What time will it show 62 minutes later? (a) 10:28 (b) 10:38 (c) 11:28 (d) 10:18
- 24.How many degrees does the hour hand of a clock turn in 40 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 26.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
- 28.A clock shows 6:14. What time will it show 123 minutes later? (a) 9:17 (b) 8:07 (c) 8:17 (d) 8:27
- 29.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
- 30.A clock shows 11:20. What time will it show 14 minutes later? (a) 11:34 (b) 11:24 (c) 12:34 (d) 11:44
- 31.A clock shows 12:03. What time will it show 62 minutes later? (a) 1:15 (b) 12:55 (c) 2:05 (d) 1:05
- 32.How many degrees does the hour hand of a clock turn in 85 minutes? =
- 33.A clock shows 10:30. What time will it show 89 minutes later? (a) 11:59 (b) 11:49 (c) 12:59 (d) 12:09
- 34.A clock shows 9:07. What time will it show 148 minutes later? (a) 12:35 (b) 11:25 (c) 11:35 (d) 11:45
- 35.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
- 37.How many degrees does the hour hand of a clock turn in 68 minutes? =
- 38.A clock shows 6:11. What time will it show 107 minutes later? (a) 8:08 (b) 7:58 (c) 7:48 (d) 8:58
- 39.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
Answer key
- 54
- 35.5
- 36
- 5:28
- 100
- 9:38
- 46
- 108.5
- 216
- 16.5
- 246
- 156
- 152.5
- 51
- 282
- 240
- 63
- 198
- 7.5
- 12:43
- 97
- 3:50
- 10:28
- 20
- 108
- 36
- 176.5
- 8:17
- 135.5
- 11:34
- 1:05
- 42.5
- 11:59
- 11:35
- 56.5
- 133
- 34
- 7:58
- 141
- 80.5
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