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 4 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
- 3.A clock shows 5:03. What time will it show 38 minutes later? (a) 6:41 (b) 5:41 (c) 5:31 (d) 5:51
- 4.What is the smaller angle between the hour hand and the minute hand at 12:29? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
- 6.A clock shows 4:43. What time will it show 69 minutes later? (a) 6:52 (b) 5:42 (c) 6:02 (d) 5:52
- 7.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
- 10.A clock shows 8:39. What time will it show 29 minutes later? (a) 9:18 (b) 9:08 (c) 10:08 (d) 8:58
- 11.How many degrees does the hour hand of a clock turn in 42 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 14.How many degrees does the hour hand of a clock turn in 68 minutes? =
- 15.How many degrees does the hour hand of a clock turn in 137 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
- 17.A clock shows 4:35. What time will it show 17 minutes later? (a) 5:02 (b) 5:52 (c) 4:52 (d) 4:42
- 18.A clock shows 5:59. What time will it show 139 minutes later? (a) 8:18 (b) 8:28 (c) 9:18 (d) 8:08
- 19.A clock shows 11:48. What time will it show 170 minutes later? (a) 2:28 (b) 2:48 (c) 3:38 (d) 2:38
- 20.A clock shows 3:11. What time will it show 34 minutes later? (a) 4:45 (b) 3:55 (c) 3:35 (d) 3:45
- 21.A clock shows 9:44. What time will it show 142 minutes later? (a) 12:06 (b) 1:06 (c) 11:56 (d) 12:16
- 22.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
- 25.A clock shows 10:48. What time will it show 20 minutes later? (a) 11:18 (b) 10:58 (c) 12:08 (d) 11:08
- 26.What is the smaller angle between the hour hand and the minute hand at 7:51? (in degrees) =
- 27.A clock shows 12:27. What time will it show 136 minutes later? (a) 2:53 (b) 3:43 (c) 2:43 (d) 2:33
- 28.How many degrees does the hour hand of a clock turn in 14 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 7:12? (in degrees) =
- 34.A clock shows 8:31. What time will it show 12 minutes later? (a) 8:43 (b) 9:43 (c) 8:33 (d) 8:53
- 35.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 11:55? (in degrees) =
- 39.A clock shows 6:23. What time will it show 89 minutes later? (a) 7:52 (b) 7:42 (c) 8:52 (d) 8:02
- 40.How many degrees does the hour hand of a clock turn in 125 minutes? =
Answer key
- 24
- 39.5
- 5:41
- 159.5
- 68
- 5:52
- 68
- 141
- 4
- 9:08
- 21
- 175.5
- 294
- 34
- 68.5
- 165.5
- 4:52
- 8:18
- 2:38
- 3:45
- 12:06
- 246
- 87.5
- 88.5
- 11:08
- 70.5
- 2:43
- 7
- 130.5
- 161.5
- 82.5
- 146.5
- 144
- 8:43
- 125.5
- 41
- 131.5
- 27.5
- 7:52
- 62.5
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