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.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
- 2.A clock shows 12:02. What time will it show 22 minutes later? (a) 12:34 (b) 12:24 (c) 12:14 (d) 1:24
- 3.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 135 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 59 minutes? =
- 6.A clock shows 9:07. What time will it show 64 minutes later? (a) 10:11 (b) 10:21 (c) 11:11 (d) 10:01
- 7.A clock shows 3:24. What time will it show 167 minutes later? (a) 6:11 (b) 6:21 (c) 6:01 (d) 7:11
- 8.A clock shows 8:03. What time will it show 150 minutes later? (a) 10:23 (b) 10:43 (c) 10:33 (d) 11:33
- 9.How many degrees does the hour hand of a clock turn in 133 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 5:35? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 14.A clock shows 7:04. What time will it show 17 minutes later? (a) 7:11 (b) 7:21 (c) 7:31 (d) 8:21
- 15.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 12:31? (in degrees) =
- 17.A clock shows 9:06. What time will it show 43 minutes later? (a) 9:39 (b) 9:59 (c) 9:49 (d) 10:49
- 18.A clock shows 5:19. What time will it show 38 minutes later? (a) 6:07 (b) 6:57 (c) 5:47 (d) 5:57
- 19.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 55 minutes? =
- 21.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 25 minutes? =
- 23.How many degrees does the hour hand of a clock turn in 11 minutes? =
- 24.How many degrees does the hour hand of a clock turn in 134 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
- 26.A clock shows 7:02. What time will it show 58 minutes later? (a) 8:00 (b) 7:50 (c) 8:10 (d) 9:00
- 27.How many degrees does the hour hand of a clock turn in 51 minutes? =
- 28.How many degrees does the hour hand of a clock turn in 44 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
- 32.A clock shows 12:45. What time will it show 122 minutes later? (a) 2:57 (b) 2:47 (c) 2:37 (d) 3:47
- 33.A clock shows 8:37. What time will it show 110 minutes later? (a) 11:27 (b) 10:37 (c) 10:17 (d) 10:27
- 34.A clock shows 10:22. What time will it show 111 minutes later? (a) 1:13 (b) 12:03 (c) 12:23 (d) 12:13
- 35.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
- 36.A clock shows 2:43. What time will it show 155 minutes later? (a) 5:28 (b) 5:18 (c) 5:08 (d) 6:18
- 37.A clock shows 12:27. What time will it show 108 minutes later? (a) 2:05 (b) 2:25 (c) 2:15 (d) 3:15
- 38.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
- 39.A clock shows 5:41. What time will it show 22 minutes later? (a) 5:53 (b) 6:13 (c) 7:03 (d) 6:03
- 40.A clock shows 7:14. What time will it show 89 minutes later? (a) 8:53 (b) 8:43 (c) 9:43 (d) 8:33
Answer key
- 9.5
- 12:24
- 171
- 67.5
- 29.5
- 10:11
- 6:11
- 10:33
- 66.5
- 80.5
- 175
- 42.5
- 132
- 7:21
- 174
- 170.5
- 9:49
- 5:57
- 119.5
- 27.5
- 12
- 12.5
- 5.5
- 67
- 54.5
- 8:00
- 25.5
- 22
- 150.5
- 56.5
- 131.5
- 2:47
- 10:27
- 12:13
- 56.5
- 5:18
- 2:15
- 70.5
- 6:03
- 8:43
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