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.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
- 3.How many degrees does the hour hand of a clock turn in 74 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
- 7.A clock shows 9:33. What time will it show 32 minutes later? (a) 11:05 (b) 10:05 (c) 9:55 (d) 10:15
- 8.A clock shows 1:07. What time will it show 125 minutes later? (a) 3:12 (b) 3:22 (c) 3:02 (d) 4:12
- 9.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 169 minutes? =
- 11.A clock shows 3:54. What time will it show 118 minutes later? (a) 5:52 (b) 5:42 (c) 6:02 (d) 6:52
- 12.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
- 13.How many degrees does the hour hand of a clock turn in 160 minutes? =
- 14.A clock shows 7:57. What time will it show 113 minutes later? (a) 10:50 (b) 9:50 (c) 10:00 (d) 9:40
- 15.A clock shows 9:38. What time will it show 29 minutes later? (a) 9:57 (b) 11:07 (c) 10:17 (d) 10:07
- 16.A clock shows 10:00. What time will it show 91 minutes later? (a) 12:31 (b) 11:31 (c) 11:21 (d) 11:41
- 17.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
- 18.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 11:46? (in degrees) =
- 20.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 21.A clock shows 12:36. What time will it show 37 minutes later? (a) 1:13 (b) 2:13 (c) 1:03 (d) 1:23
- 22.How many degrees does the hour hand of a clock turn in 132 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
- 24.A clock shows 4:45. What time will it show 58 minutes later? (a) 5:43 (b) 5:33 (c) 5:53 (d) 6:43
- 25.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 26.A clock shows 1:48. What time will it show 10 minutes later? (a) 2:58 (b) 2:08 (c) 1:48 (d) 1:58
- 27.A clock shows 10:31. What time will it show 93 minutes later? (a) 12:14 (b) 11:54 (c) 1:04 (d) 12:04
- 28.How many degrees does the hour hand of a clock turn in 134 minutes? =
- 29.A clock shows 9:27. What time will it show 88 minutes later? (a) 10:45 (b) 11:55 (c) 10:55 (d) 11:05
- 30.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 31.A clock shows 4:26. What time will it show 73 minutes later? (a) 5:29 (b) 5:49 (c) 5:39 (d) 6:39
- 32.A clock shows 3:10. What time will it show 53 minutes later? (a) 4:03 (b) 5:03 (c) 3:53 (d) 4:13
- 33.A clock shows 5:33. What time will it show 12 minutes later? (a) 6:45 (b) 5:45 (c) 5:55 (d) 5:35
- 34.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
- 35.A clock shows 8:25. What time will it show 140 minutes later? (a) 10:35 (b) 10:45 (c) 10:55 (d) 11:45
- 36.How many degrees does the hour hand of a clock turn in 31 minutes? =
- 37.A clock shows 10:28. What time will it show 138 minutes later? (a) 12:36 (b) 12:46 (c) 1:46 (d) 12:56
- 38.How many degrees does the hour hand of a clock turn in 136 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 43 minutes? =
Answer key
- 106
- 45
- 37
- 21
- 121.5
- 150
- 10:05
- 3:12
- 80.5
- 84.5
- 5:52
- 0.5
- 80
- 9:50
- 10:07
- 11:31
- 43.5
- 192
- 77
- 30
- 1:13
- 66
- 20.5
- 5:43
- 348
- 1:58
- 12:04
- 67
- 10:55
- 228
- 5:39
- 4:03
- 5:45
- 136.5
- 10:45
- 15.5
- 12:46
- 68
- 80
- 21.5
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