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 5:07. What time will it show 57 minutes later? (a) 5:54 (b) 6:14 (c) 7:04 (d) 6:04
- 2.A clock shows 9:37. What time will it show 57 minutes later? (a) 10:44 (b) 11:34 (c) 10:24 (d) 10:34
- 3.A clock shows 10:34. What time will it show 49 minutes later? (a) 11:33 (b) 11:13 (c) 12:23 (d) 11:23
- 4.A clock shows 4:29. What time will it show 123 minutes later? (a) 7:32 (b) 6:32 (c) 6:22 (d) 6:42
- 5.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
- 6.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 7.How many degrees does the hour hand of a clock turn in 27 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
- 9.A clock shows 4:16. What time will it show 93 minutes later? (a) 5:59 (b) 6:49 (c) 5:49 (d) 5:39
- 10.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
- 11.A clock shows 2:10. What time will it show 17 minutes later? (a) 2:37 (b) 3:27 (c) 2:17 (d) 2:27
- 12.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
- 14.A clock shows 8:01. What time will it show 51 minutes later? (a) 8:42 (b) 9:02 (c) 9:52 (d) 8:52
- 15.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
- 16.A clock shows 10:14. What time will it show 87 minutes later? (a) 11:41 (b) 11:31 (c) 11:51 (d) 12:41
- 17.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
- 19.A clock shows 6:10. What time will it show 134 minutes later? (a) 8:34 (b) 9:24 (c) 8:14 (d) 8:24
- 20.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
- 21.How many degrees does the hour hand of a clock turn in 40 minutes? =
- 22.A clock shows 4:36. What time will it show 127 minutes later? (a) 6:43 (b) 6:53 (c) 7:43 (d) 6:33
- 23.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
- 24.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 28.How many degrees does the hour hand of a clock turn in 92 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
- 33.How many degrees does the hour hand of a clock turn in 153 minutes? =
- 34.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
- 36.A clock shows 1:01. What time will it show 147 minutes later? (a) 3:18 (b) 3:38 (c) 3:28 (d) 4:28
- 37.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
- 38.A clock shows 8:58. What time will it show 70 minutes later? (a) 10:08 (b) 9:58 (c) 10:18 (d) 11:08
- 39.How many degrees does the hour hand of a clock turn in 129 minutes? =
- 40.A clock shows 9:20. What time will it show 155 minutes later? (a) 12:05 (b) 12:55 (c) 11:55 (d) 11:45
Answer key
- 6:04
- 10:34
- 11:23
- 6:32
- 169
- 90
- 13.5
- 43
- 5:49
- 125
- 2:27
- 71
- 65.5
- 8:52
- 49.5
- 11:41
- 246
- 28.5
- 8:24
- 72
- 20
- 6:43
- 7.5
- 300
- 139
- 73.5
- 108
- 46
- 26
- 82
- 128
- 77.5
- 76.5
- 318
- 179.5
- 3:28
- 111
- 10:08
- 64.5
- 11:55
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