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 5:26. What time will it show 46 minutes later? (a) 6:02 (b) 7:12 (c) 6:22 (d) 6:12
- 2.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 3.A clock shows 12:11. What time will it show 53 minutes later? (a) 2:04 (b) 12:54 (c) 1:14 (d) 1:04
- 4.How many degrees does the hour hand of a clock turn in 157 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
- 6.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 7:51? (in degrees) =
- 8.How many degrees does the hour hand of a clock turn in 68 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
- 11.A clock shows 1:03. What time will it show 36 minutes later? (a) 2:39 (b) 1:29 (c) 1:39 (d) 1:49
- 12.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 14.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
- 16.A clock shows 8:31. What time will it show 73 minutes later? (a) 9:34 (b) 9:44 (c) 9:54 (d) 10:44
- 17.A clock shows 4:04. What time will it show 11 minutes later? (a) 4:05 (b) 5:15 (c) 4:15 (d) 4:25
- 18.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 22.A clock shows 3:53. What time will it show 74 minutes later? (a) 5:07 (b) 6:07 (c) 5:17 (d) 4:57
- 23.How many degrees does the hour hand of a clock turn in 150 minutes? =
- 24.A clock shows 11:54. What time will it show 18 minutes later? (a) 1:12 (b) 12:02 (c) 12:22 (d) 12:12
- 25.How many degrees does the hour hand of a clock turn in 46 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
- 27.A clock shows 10:35. What time will it show 96 minutes later? (a) 12:11 (b) 1:11 (c) 12:21 (d) 12:01
- 28.A clock shows 1:30. What time will it show 37 minutes later? (a) 3:07 (b) 2:17 (c) 2:07 (d) 1:57
- 29.A clock shows 10:38. What time will it show 146 minutes later? (a) 12:54 (b) 1:04 (c) 2:04 (d) 1:14
- 30.How many degrees does the hour hand of a clock turn in 99 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
- 32.A clock shows 12:31. What time will it show 134 minutes later? (a) 2:35 (b) 2:45 (c) 2:55 (d) 3:45
- 33.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
- 37.A clock shows 2:12. What time will it show 25 minutes later? (a) 2:27 (b) 2:37 (c) 2:47 (d) 3:37
- 38.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
- 40.A clock shows 6:56. What time will it show 97 minutes later? (a) 8:33 (b) 8:23 (c) 8:43 (d) 9:33
Answer key
- 6:12
- 210
- 1:04
- 78.5
- 0
- 258
- 70.5
- 34
- 76
- 76.5
- 1:39
- 109.5
- 96
- 36
- 123.5
- 9:44
- 4:15
- 134
- 186
- 33.5
- 42
- 5:07
- 75
- 12:12
- 23
- 173.5
- 12:11
- 2:07
- 1:04
- 49.5
- 139
- 2:45
- 179.5
- 16
- 45.5
- 101.5
- 2:37
- 103
- 146.5
- 8:33
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