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 9:02. What time will it show 97 minutes later? (a) 10:49 (b) 10:39 (c) 11:39 (d) 10:29
- 2.A clock shows 3:30. What time will it show 134 minutes later? (a) 5:44 (b) 5:34 (c) 5:54 (d) 6:44
- 3.A clock shows 12:02. What time will it show 141 minutes later? (a) 2:23 (b) 2:33 (c) 3:23 (d) 2:13
- 4.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 5.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
- 8.How many degrees does the hour hand of a clock turn in 109 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 11.A clock shows 5:28. What time will it show 55 minutes later? (a) 6:33 (b) 6:23 (c) 7:23 (d) 6:13
- 12.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
- 14.A clock shows 6:32. What time will it show 169 minutes later? (a) 10:21 (b) 9:11 (c) 9:31 (d) 9:21
- 15.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 134 minutes? =
- 18.How many degrees does the hour hand of a clock turn in 40 minutes? =
- 19.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 20.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 16 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
- 23.A clock shows 2:57. What time will it show 151 minutes later? (a) 6:28 (b) 5:38 (c) 5:18 (d) 5:28
- 24.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 25.A clock shows 10:09. What time will it show 80 minutes later? (a) 11:19 (b) 12:29 (c) 11:39 (d) 11:29
- 26.A clock shows 11:58. What time will it show 139 minutes later? (a) 2:17 (b) 2:27 (c) 2:07 (d) 3:17
- 27.A clock shows 9:04. What time will it show 154 minutes later? (a) 11:28 (b) 11:38 (c) 11:48 (d) 12:38
- 28.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 11:58? (in degrees) =
- 30.A clock shows 9:04. What time will it show 44 minutes later? (a) 9:38 (b) 9:58 (c) 9:48 (d) 10:48
- 31.How many degrees does the hour hand of a clock turn in 23 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 39.A clock shows 10:29. What time will it show 142 minutes later? (a) 1:01 (b) 1:51 (c) 12:51 (d) 12:41
- 40.How many degrees does the hour hand of a clock turn in 14 minutes? =
Answer key
- 10:39
- 5:44
- 2:23
- 36
- 42
- 59
- 81.5
- 54.5
- 156
- 168
- 6:23
- 77
- 40.5
- 9:21
- 165.5
- 94
- 67
- 20
- 228
- 306
- 8
- 88
- 5:28
- 348
- 11:29
- 2:17
- 11:38
- 69.5
- 11
- 9:48
- 11.5
- 2
- 79.5
- 155
- 157
- 28
- 88.5
- 210
- 12:51
- 7
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