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 7:58. What time will it show 87 minutes later? (a) 10:25 (b) 9:25 (c) 9:15 (d) 9:35
- 2.A clock shows 12:15. What time will it show 13 minutes later? (a) 12:38 (b) 1:28 (c) 12:18 (d) 12:28
- 3.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 8.How many degrees does the hour hand of a clock turn in 169 minutes? =
- 9.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
- 11.A clock shows 1:00. What time will it show 78 minutes later? (a) 2:28 (b) 2:08 (c) 2:18 (d) 3:18
- 12.A clock shows 9:16. What time will it show 55 minutes later? (a) 10:11 (b) 11:11 (c) 10:21 (d) 10:01
- 13.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 15.How many degrees does the hour hand of a clock turn in 36 minutes? =
- 16.A clock shows 7:41. What time will it show 103 minutes later? (a) 10:24 (b) 9:34 (c) 9:14 (d) 9:24
- 17.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
- 18.A clock shows 3:47. What time will it show 140 minutes later? (a) 5:57 (b) 6:07 (c) 6:17 (d) 7:07
- 19.A clock shows 12:15. What time will it show 152 minutes later? (a) 2:37 (b) 3:47 (c) 2:57 (d) 2:47
- 20.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
- 22.A clock shows 12:10. What time will it show 146 minutes later? (a) 3:36 (b) 2:46 (c) 2:26 (d) 2:36
- 23.A clock shows 11:07. What time will it show 72 minutes later? (a) 1:19 (b) 12:19 (c) 12:09 (d) 12:29
- 24.A clock shows 6:49. What time will it show 130 minutes later? (a) 8:59 (b) 9:09 (c) 8:49 (d) 9:59
- 25.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 28.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 29.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 30.A clock shows 7:33. What time will it show 123 minutes later? (a) 9:26 (b) 10:36 (c) 9:36 (d) 9:46
- 31.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 32.How many degrees does the hour hand of a clock turn in 175 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
- 36.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 37.How many degrees does the hour hand of a clock turn in 30 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
- 39.A clock shows 10:02. What time will it show 42 minutes later? (a) 10:34 (b) 10:54 (c) 11:44 (d) 10:44
- 40.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
Answer key
- 9:25
- 12:28
- 147
- 47
- 21.5
- 172
- 258
- 84.5
- 216
- 125.5
- 2:18
- 10:11
- 162.5
- 276
- 18
- 9:24
- 88
- 6:07
- 2:47
- 126
- 169
- 2:36
- 12:19
- 8:59
- 130
- 177.5
- 72
- 204
- 144
- 9:36
- 198
- 87.5
- 46.5
- 234
- 79.5
- 354
- 15
- 49
- 10:44
- 110
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