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 9:56. What time will it show 134 minutes later? (a) 12:20 (b) 12:10 (c) 12:00 (d) 1:10
- 2.A clock shows 2:48. What time will it show 34 minutes later? (a) 3:12 (b) 4:22 (c) 3:32 (d) 3:22
- 3.A clock shows 7:08. What time will it show 102 minutes later? (a) 9:00 (b) 9:50 (c) 8:40 (d) 8:50
- 4.A clock shows 8:15. What time will it show 63 minutes later? (a) 9:28 (b) 9:08 (c) 10:18 (d) 9:18
- 5.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
- 8.A clock shows 11:46. What time will it show 18 minutes later? (a) 11:54 (b) 1:04 (c) 12:04 (d) 12:14
- 9.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 10.A clock shows 6:52. What time will it show 41 minutes later? (a) 7:23 (b) 7:43 (c) 7:33 (d) 8:33
- 11.A clock shows 3:12. What time will it show 153 minutes later? (a) 5:45 (b) 5:35 (c) 6:45 (d) 5:55
- 12.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 13.A clock shows 2:51. What time will it show 86 minutes later? (a) 4:27 (b) 5:17 (c) 4:07 (d) 4:17
- 14.How many degrees does the hour hand of a clock turn in 135 minutes? =
- 15.A clock shows 4:27. What time will it show 78 minutes later? (a) 5:55 (b) 5:35 (c) 6:45 (d) 5:45
- 16.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
- 17.A clock shows 4:49. What time will it show 39 minutes later? (a) 6:28 (b) 5:18 (c) 5:28 (d) 5:38
- 18.How many degrees does the hour hand of a clock turn in 154 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
- 20.A clock shows 1:16. What time will it show 104 minutes later? (a) 3:00 (b) 2:50 (c) 4:00 (d) 3:10
- 21.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 12:13? (in degrees) =
- 25.How many degrees does the hour hand of a clock turn in 97 minutes? =
- 26.How many degrees does the hour hand of a clock turn in 119 minutes? =
- 27.A clock shows 4:28. What time will it show 104 minutes later? (a) 6:02 (b) 6:22 (c) 7:12 (d) 6:12
- 28.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
- 29.A clock shows 3:06. What time will it show 132 minutes later? (a) 5:28 (b) 5:08 (c) 5:18 (d) 6:18
- 30.What is the smaller angle between the hour hand and the minute hand at 12:29? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 36 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
- 33.A clock shows 3:52. What time will it show 116 minutes later? (a) 5:38 (b) 6:48 (c) 5:58 (d) 5:48
- 34.A clock shows 12:51. What time will it show 47 minutes later? (a) 1:48 (b) 1:38 (c) 2:38 (d) 1:28
- 35.A clock shows 6:23. What time will it show 21 minutes later? (a) 6:54 (b) 6:44 (c) 7:44 (d) 6:34
- 36.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
- 37.How many degrees does the hour hand of a clock turn in 144 minutes? =
- 38.How many degrees does the hour hand of a clock turn in 123 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 40.A clock shows 8:06. What time will it show 163 minutes later? (a) 10:39 (b) 11:49 (c) 10:59 (d) 10:49
Answer key
- 12:10
- 3:22
- 8:50
- 9:18
- 222
- 342
- 70
- 12:04
- 294
- 7:33
- 5:45
- 60
- 4:17
- 67.5
- 5:45
- 170
- 5:28
- 77
- 54
- 3:00
- 97
- 113.5
- 107.5
- 71.5
- 48.5
- 59.5
- 6:12
- 117.5
- 5:18
- 159.5
- 18
- 122.5
- 5:48
- 1:38
- 6:44
- 103
- 72
- 61.5
- 288
- 10:49
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