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 31 minutes? =
- 2.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 3.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 4.How many degrees does the hour hand of a clock turn in 55 minutes? =
- 5.A clock shows 7:00. What time will it show 107 minutes later? (a) 8:37 (b) 8:57 (c) 9:47 (d) 8:47
- 6.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
- 7.A clock shows 10:51. What time will it show 18 minutes later? (a) 11:19 (b) 10:59 (c) 11:09 (d) 12:09
- 8.A clock shows 9:06. What time will it show 69 minutes later? (a) 10:25 (b) 10:05 (c) 10:15 (d) 11:15
- 9.A clock shows 2:16. What time will it show 68 minutes later? (a) 4:24 (b) 3:14 (c) 3:24 (d) 3:34
- 10.How many degrees does the hour hand of a clock turn in 96 minutes? =
- 11.A clock shows 6:55. What time will it show 81 minutes later? (a) 8:16 (b) 8:06 (c) 8:26 (d) 9:16
- 12.A clock shows 2:05. What time will it show 77 minutes later? (a) 3:12 (b) 3:32 (c) 4:22 (d) 3:22
- 13.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 111 minutes? =
- 15.A clock shows 11:42. What time will it show 103 minutes later? (a) 1:25 (b) 1:15 (c) 2:25 (d) 1:35
- 16.How many degrees does the hour hand of a clock turn in 103 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
- 20.A clock shows 12:48. What time will it show 36 minutes later? (a) 2:24 (b) 1:14 (c) 1:24 (d) 1:34
- 21.A clock shows 7:16. What time will it show 36 minutes later? (a) 7:52 (b) 8:02 (c) 8:52 (d) 7:42
- 22.A clock shows 3:59. What time will it show 154 minutes later? (a) 7:33 (b) 6:23 (c) 6:33 (d) 6:43
- 23.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 24.A clock shows 6:05. What time will it show 95 minutes later? (a) 7:40 (b) 7:30 (c) 8:40 (d) 7:50
- 25.How many degrees does the hour hand of a clock turn in 68 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 6:29? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
- 31.A clock shows 7:33. What time will it show 170 minutes later? (a) 10:13 (b) 11:23 (c) 10:23 (d) 10:33
- 32.A clock shows 10:21. What time will it show 65 minutes later? (a) 11:26 (b) 11:36 (c) 12:26 (d) 11:16
- 33.A clock shows 5:43. What time will it show 56 minutes later? (a) 6:29 (b) 7:39 (c) 6:49 (d) 6:39
- 34.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 35 minutes? =
- 37.A clock shows 9:48. What time will it show 165 minutes later? (a) 12:43 (b) 12:23 (c) 1:33 (d) 12:33
- 38.What is the smaller angle between the hour hand and the minute hand at 6:12? (in degrees) =
- 39.How many degrees does the hour hand of a clock turn in 141 minutes? =
- 40.A clock shows 12:13. What time will it show 15 minutes later? (a) 12:38 (b) 1:28 (c) 12:28 (d) 12:18
Answer key
- 15.5
- 300
- 246
- 27.5
- 8:47
- 17.5
- 11:09
- 10:15
- 3:24
- 48
- 8:16
- 3:22
- 171
- 55.5
- 1:25
- 51.5
- 115
- 122
- 80
- 1:24
- 7:52
- 6:33
- 102
- 7:40
- 34
- 54
- 20.5
- 28
- 137.5
- 25
- 10:23
- 11:26
- 6:39
- 87
- 132
- 17.5
- 12:33
- 114
- 70.5
- 12:28
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