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 9:02. What time will it show 82 minutes later? (a) 10:34 (b) 11:24 (c) 10:24 (d) 10:14
- 2.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 3.How many degrees does the hour hand of a clock turn in 67 minutes? =
- 4.A clock shows 8:15. What time will it show 169 minutes later? (a) 12:04 (b) 10:54 (c) 11:14 (d) 11:04
- 5.How many degrees does the hour hand of a clock turn in 60 minutes? =
- 6.How many degrees does the hour hand of a clock turn in 59 minutes? =
- 7.A clock shows 7:54. What time will it show 22 minutes later? (a) 8:26 (b) 9:16 (c) 8:06 (d) 8:16
- 8.How many degrees does the hour hand of a clock turn in 88 minutes? =
- 9.A clock shows 11:59. What time will it show 116 minutes later? (a) 1:55 (b) 2:05 (c) 2:55 (d) 1:45
- 10.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 146 minutes? =
- 12.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
- 14.A clock shows 5:42. What time will it show 159 minutes later? (a) 8:11 (b) 9:21 (c) 8:21 (d) 8:31
- 15.What is the smaller angle between the hour hand and the minute hand at 6:29? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
- 18.A clock shows 12:41. What time will it show 37 minutes later? (a) 1:18 (b) 2:18 (c) 1:08 (d) 1:28
- 19.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
- 23.A clock shows 11:33. What time will it show 16 minutes later? (a) 12:49 (b) 11:39 (c) 11:49 (d) 11:59
- 24.A clock shows 8:34. What time will it show 113 minutes later? (a) 11:27 (b) 10:17 (c) 10:27 (d) 10:37
- 25.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
- 27.A clock shows 11:18. What time will it show 117 minutes later? (a) 1:05 (b) 1:15 (c) 2:15 (d) 1:25
- 28.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 9:51? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 142 minutes? =
- 32.A clock shows 1:04. What time will it show 19 minutes later? (a) 1:13 (b) 2:23 (c) 1:33 (d) 1:23
- 33.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 34.A clock shows 9:01. What time will it show 112 minutes later? (a) 10:43 (b) 11:53 (c) 10:53 (d) 11:03
- 35.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 36.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 37.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
- 39.A clock shows 10:10. What time will it show 55 minutes later? (a) 11:05 (b) 11:15 (c) 12:05 (d) 10:55
- 40.How many degrees does the minute hand of a clock turn in 57 minutes? =
Answer key
- 10:24
- 354
- 33.5
- 11:04
- 30
- 29.5
- 8:16
- 44
- 1:55
- 75.5
- 73
- 324
- 22.5
- 8:21
- 20.5
- 150
- 101
- 1:18
- 12
- 27
- 37
- 14.5
- 11:49
- 10:27
- 18
- 75
- 1:15
- 168
- 27.5
- 10.5
- 71
- 1:23
- 222
- 10:53
- 282
- 180
- 162
- 59.5
- 11:05
- 342
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