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 7:31. What time will it show 13 minutes later? (a) 7:44 (b) 7:54 (c) 7:34 (d) 8:44
- 2.A clock shows 8:13. What time will it show 67 minutes later? (a) 10:20 (b) 9:10 (c) 9:30 (d) 9:20
- 3.A clock shows 5:43. What time will it show 78 minutes later? (a) 6:51 (b) 7:11 (c) 7:01 (d) 8:01
- 4.How many degrees does the hour hand of a clock turn in 170 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
- 6.How many degrees does the hour hand of a clock turn in 46 minutes? =
- 7.A clock shows 1:05. What time will it show 109 minutes later? (a) 2:44 (b) 2:54 (c) 3:04 (d) 3:54
- 8.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
- 10.A clock shows 4:58. What time will it show 12 minutes later? (a) 6:10 (b) 5:10 (c) 5:00 (d) 5:20
- 11.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 15.A clock shows 3:29. What time will it show 146 minutes later? (a) 6:05 (b) 5:55 (c) 6:55 (d) 5:45
- 16.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
- 18.A clock shows 5:48. What time will it show 78 minutes later? (a) 7:16 (b) 6:56 (c) 7:06 (d) 8:06
- 19.A clock shows 3:33. What time will it show 61 minutes later? (a) 4:34 (b) 4:24 (c) 4:44 (d) 5:34
- 20.A clock shows 1:05. What time will it show 25 minutes later? (a) 1:40 (b) 1:20 (c) 1:30 (d) 2:30
- 21.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 22.A clock shows 10:53. What time will it show 77 minutes later? (a) 1:10 (b) 12:20 (c) 12:00 (d) 12:10
- 23.What is the smaller angle between the hour hand and the minute hand at 12:27? (in degrees) =
- 24.How many degrees does the hour hand of a clock turn in 116 minutes? =
- 25.A clock shows 3:14. What time will it show 46 minutes later? (a) 3:50 (b) 5:00 (c) 4:00 (d) 4:10
- 26.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 28.A clock shows 7:49. What time will it show 49 minutes later? (a) 8:48 (b) 8:28 (c) 9:38 (d) 8:38
- 29.A clock shows 2:24. What time will it show 92 minutes later? (a) 3:46 (b) 3:56 (c) 4:56 (d) 4:06
- 30.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 31.A clock shows 12:26. What time will it show 107 minutes later? (a) 2:13 (b) 2:03 (c) 3:13 (d) 2:23
- 32.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 142 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
- 39.A clock shows 6:48. What time will it show 62 minutes later? (a) 8:50 (b) 7:40 (c) 8:00 (d) 7:50
- 40.A clock shows 11:03. What time will it show 131 minutes later? (a) 1:14 (b) 1:04 (c) 2:14 (d) 1:24
Answer key
- 7:44
- 9:20
- 7:01
- 85
- 39.5
- 23
- 2:54
- 49.5
- 98
- 5:10
- 186
- 95.5
- 156
- 30
- 5:55
- 324
- 172
- 7:06
- 4:34
- 1:30
- 306
- 12:10
- 148.5
- 58
- 4:00
- 174.5
- 126
- 8:38
- 3:56
- 168
- 2:13
- 41
- 97.5
- 128
- 216
- 71
- 144.5
- 153.5
- 7:50
- 1:14
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