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.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 2.A clock shows 1:21. What time will it show 79 minutes later? (a) 2:50 (b) 2:40 (c) 3:40 (d) 2:30
- 3.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 4.A clock shows 4:30. What time will it show 168 minutes later? (a) 7:28 (b) 7:08 (c) 7:18 (d) 8:18
- 5.A clock shows 3:16. What time will it show 55 minutes later? (a) 4:01 (b) 5:11 (c) 4:21 (d) 4:11
- 6.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 7.A clock shows 6:33. What time will it show 52 minutes later? (a) 7:15 (b) 7:25 (c) 8:25 (d) 7:35
- 8.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
- 9.A clock shows 4:12. What time will it show 47 minutes later? (a) 5:09 (b) 5:59 (c) 4:59 (d) 4:49
- 10.What is the smaller angle between the hour hand and the minute hand at 7:57? (in degrees) =
- 11.A clock shows 11:29. What time will it show 165 minutes later? (a) 2:24 (b) 2:04 (c) 2:14 (d) 3:14
- 12.A clock shows 1:02. What time will it show 129 minutes later? (a) 3:11 (b) 3:21 (c) 3:01 (d) 4:11
- 13.A clock shows 2:44. What time will it show 56 minutes later? (a) 3:30 (b) 4:40 (c) 3:50 (d) 3:40
- 14.A clock shows 1:10. What time will it show 32 minutes later? (a) 1:42 (b) 2:42 (c) 1:32 (d) 1:52
- 15.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 16.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 17.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 18.A clock shows 7:58. What time will it show 136 minutes later? (a) 11:14 (b) 10:24 (c) 10:14 (d) 10:04
- 19.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 20.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 8:28? (in degrees) =
- 23.How many degrees does the hour hand of a clock turn in 165 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
- 26.A clock shows 5:24. What time will it show 122 minutes later? (a) 7:36 (b) 8:26 (c) 7:26 (d) 7:16
- 27.What is the smaller angle between the hour hand and the minute hand at 11:55? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
- 29.A clock shows 2:57. What time will it show 34 minutes later? (a) 3:41 (b) 3:21 (c) 4:31 (d) 3:31
- 30.How many degrees does the hour hand of a clock turn in 97 minutes? =
- 31.A clock shows 1:05. What time will it show 124 minutes later? (a) 4:09 (b) 3:19 (c) 2:59 (d) 3:09
- 32.A clock shows 8:03. What time will it show 21 minutes later? (a) 9:24 (b) 8:24 (c) 8:14 (d) 8:34
- 33.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
- 36.A clock shows 2:15. What time will it show 121 minutes later? (a) 5:16 (b) 4:06 (c) 4:16 (d) 4:26
- 37.A clock shows 2:24. What time will it show 103 minutes later? (a) 4:17 (b) 3:57 (c) 4:07 (d) 5:07
- 38.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
- 40.A clock shows 5:12. What time will it show 52 minutes later? (a) 6:04 (b) 6:14 (c) 5:54 (d) 7:04
Answer key
- 144
- 2:40
- 192
- 7:18
- 4:11
- 54
- 7:25
- 175.5
- 4:59
- 103.5
- 2:14
- 3:11
- 3:40
- 1:42
- 120
- 60
- 270
- 10:14
- 102
- 330
- 56.5
- 86
- 82.5
- 177
- 0
- 7:26
- 27.5
- 146.5
- 3:31
- 48.5
- 3:09
- 8:24
- 342
- 98
- 147
- 4:16
- 4:07
- 73.5
- 72.5
- 6:04
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