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 11:25. What time will it show 83 minutes later? (a) 12:58 (b) 1:48 (c) 12:38 (d) 12:48
- 2.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 4.A clock shows 10:30. What time will it show 158 minutes later? (a) 1:08 (b) 1:18 (c) 12:58 (d) 2:08
- 5.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 160 minutes? =
- 8.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 11.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 12.A clock shows 1:29. What time will it show 170 minutes later? (a) 5:19 (b) 4:29 (c) 4:19 (d) 4:09
- 13.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
- 14.A clock shows 9:05. What time will it show 81 minutes later? (a) 10:26 (b) 10:36 (c) 11:26 (d) 10:16
- 15.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 16.How many degrees does the hour hand of a clock turn in 157 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
- 18.A clock shows 8:49. What time will it show 150 minutes later? (a) 12:19 (b) 11:29 (c) 11:09 (d) 11:19
- 19.A clock shows 3:50. What time will it show 81 minutes later? (a) 5:01 (b) 5:11 (c) 6:11 (d) 5:21
- 20.How many degrees does the hour hand of a clock turn in 170 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 53 minutes? =
- 22.A clock shows 12:02. What time will it show 131 minutes later? (a) 3:13 (b) 2:13 (c) 2:03 (d) 2:23
- 23.How many degrees does the hour hand of a clock turn in 64 minutes? =
- 24.A clock shows 9:07. What time will it show 61 minutes later? (a) 11:08 (b) 10:18 (c) 10:08 (d) 9:58
- 25.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 27.A clock shows 1:08. What time will it show 122 minutes later? (a) 4:10 (b) 3:00 (c) 3:10 (d) 3:20
- 28.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 56 minutes? =
- 32.A clock shows 3:17. What time will it show 90 minutes later? (a) 4:37 (b) 4:57 (c) 4:47 (d) 5:47
- 33.A clock shows 2:50. What time will it show 54 minutes later? (a) 3:44 (b) 3:34 (c) 4:44 (d) 3:54
- 34.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
- 35.A clock shows 2:13. What time will it show 110 minutes later? (a) 4:13 (b) 3:53 (c) 5:03 (d) 4:03
- 36.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
- 37.A clock shows 8:22. What time will it show 136 minutes later? (a) 10:28 (b) 11:38 (c) 10:48 (d) 10:38
- 38.A clock shows 1:19. What time will it show 78 minutes later? (a) 2:37 (b) 2:27 (c) 3:37 (d) 2:47
- 39.A clock shows 10:20. What time will it show 14 minutes later? (a) 11:34 (b) 10:44 (c) 10:24 (d) 10:34
- 40.A clock shows 2:01. What time will it show 76 minutes later? (a) 4:17 (b) 3:27 (c) 3:07 (d) 3:17
Answer key
- 12:48
- 149.5
- 252
- 1:08
- 29
- 62
- 80
- 66
- 49.5
- 204
- 312
- 4:19
- 1.5
- 10:26
- 90
- 78.5
- 168.5
- 11:19
- 5:11
- 85
- 26.5
- 2:13
- 32
- 10:08
- 6
- 246
- 3:10
- 270
- 156.5
- 142
- 28
- 4:47
- 3:44
- 141
- 4:03
- 128.5
- 10:38
- 2:37
- 10:34
- 3:17
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