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 hour hand of a clock turn in 100 minutes? =
- 2.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 3.A clock shows 9:41. What time will it show 135 minutes later? (a) 12:06 (b) 12:56 (c) 11:46 (d) 11:56
- 4.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
- 5.A clock shows 11:15. What time will it show 41 minutes later? (a) 11:46 (b) 12:56 (c) 12:06 (d) 11:56
- 6.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 6:29? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 12:38? (in degrees) =
- 10.A clock shows 4:27. What time will it show 72 minutes later? (a) 5:49 (b) 5:39 (c) 6:39 (d) 5:29
- 11.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
- 12.A clock shows 11:01. What time will it show 140 minutes later? (a) 1:11 (b) 1:31 (c) 2:21 (d) 1:21
- 13.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
- 14.A clock shows 12:40. What time will it show 52 minutes later? (a) 1:22 (b) 1:32 (c) 2:32 (d) 1:42
- 15.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
- 17.A clock shows 1:28. What time will it show 113 minutes later? (a) 4:21 (b) 3:31 (c) 3:11 (d) 3:21
- 18.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 76 minutes? =
- 20.How many degrees does the hour hand of a clock turn in 39 minutes? =
- 21.A clock shows 4:54. What time will it show 61 minutes later? (a) 6:05 (b) 5:55 (c) 5:45 (d) 6:55
- 22.How many degrees does the hour hand of a clock turn in 103 minutes? =
- 23.A clock shows 6:02. What time will it show 64 minutes later? (a) 7:06 (b) 6:56 (c) 7:16 (d) 8:06
- 24.How many degrees does the hour hand of a clock turn in 30 minutes? =
- 25.A clock shows 4:10. What time will it show 167 minutes later? (a) 7:57 (b) 6:47 (c) 6:57 (d) 7:07
- 26.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
- 27.A clock shows 7:37. What time will it show 119 minutes later? (a) 9:26 (b) 9:36 (c) 9:46 (d) 10:36
- 28.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 29.A clock shows 2:30. What time will it show 64 minutes later? (a) 4:34 (b) 3:24 (c) 3:44 (d) 3:34
- 30.A clock shows 11:34. What time will it show 150 minutes later? (a) 1:54 (b) 3:04 (c) 2:14 (d) 2:04
- 31.A clock shows 4:43. What time will it show 160 minutes later? (a) 7:13 (b) 7:23 (c) 7:33 (d) 8:23
- 32.How many degrees does the hour hand of a clock turn in 99 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
- 34.How many degrees does the hour hand of a clock turn in 28 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
- 38.A clock shows 2:28. What time will it show 31 minutes later? (a) 3:59 (b) 3:09 (c) 2:59 (d) 2:49
- 39.How many degrees does the hour hand of a clock turn in 135 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
Answer key
- 50
- 306
- 11:56
- 21
- 11:56
- 10.5
- 20.5
- 127.5
- 151
- 5:39
- 119.5
- 1:21
- 94.5
- 1:32
- 252
- 29
- 3:21
- 264
- 38
- 19.5
- 5:55
- 51.5
- 7:06
- 15
- 6:57
- 126
- 9:36
- 108
- 3:34
- 2:04
- 7:23
- 49.5
- 111.5
- 14
- 142
- 16
- 90.5
- 2:59
- 67.5
- 73.5
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