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 85 minutes? =
- 2.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 3.How many degrees does the hour hand of a clock turn in 11 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 18 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 7.A clock shows 12:15. What time will it show 66 minutes later? (a) 1:11 (b) 1:21 (c) 2:21 (d) 1:31
- 8.How many degrees does the hour hand of a clock turn in 138 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 12.A clock shows 8:20. What time will it show 35 minutes later? (a) 8:55 (b) 9:05 (c) 8:45 (d) 9:55
- 13.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 5:56? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 17.How many degrees does the hour hand of a clock turn in 35 minutes? =
- 18.A clock shows 11:12. What time will it show 53 minutes later? (a) 12:15 (b) 1:05 (c) 11:55 (d) 12:05
- 19.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
- 22.A clock shows 11:55. What time will it show 129 minutes later? (a) 2:14 (b) 3:04 (c) 2:04 (d) 1:54
- 23.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
- 24.A clock shows 11:47. What time will it show 139 minutes later? (a) 1:56 (b) 3:06 (c) 2:16 (d) 2:06
- 25.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
- 26.A clock shows 12:32. What time will it show 94 minutes later? (a) 2:16 (b) 3:06 (c) 1:56 (d) 2:06
- 27.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 29.A clock shows 3:00. What time will it show 107 minutes later? (a) 4:57 (b) 5:47 (c) 4:37 (d) 4:47
- 30.How many degrees does the hour hand of a clock turn in 93 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
- 32.A clock shows 12:39. What time will it show 85 minutes later? (a) 2:04 (b) 1:54 (c) 2:14 (d) 3:04
- 33.A clock shows 3:44. What time will it show 47 minutes later? (a) 4:31 (b) 4:21 (c) 4:41 (d) 5:31
- 34.How many degrees does the hour hand of a clock turn in 165 minutes? =
- 35.A clock shows 8:49. What time will it show 28 minutes later? (a) 9:07 (b) 9:17 (c) 9:27 (d) 10:17
- 36.A clock shows 1:17. What time will it show 46 minutes later? (a) 2:13 (b) 1:53 (c) 3:03 (d) 2:03
- 37.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 38.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
Answer key
- 42.5
- 252
- 5.5
- 147
- 9
- 42
- 1:21
- 69
- 141.5
- 58.5
- 60
- 8:55
- 55.5
- 59.5
- 158
- 138
- 17.5
- 12:05
- 127
- 46.5
- 109
- 2:04
- 82.5
- 2:06
- 47
- 2:06
- 23
- 30
- 4:47
- 46.5
- 28.5
- 2:04
- 4:31
- 82.5
- 9:17
- 2:03
- 78
- 282
- 49
- 52
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