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 103 minutes? =
- 2.A clock shows 3:08. What time will it show 85 minutes later? (a) 4:23 (b) 4:33 (c) 4:43 (d) 5:33
- 3.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
- 4.A clock shows 5:47. What time will it show 56 minutes later? (a) 6:33 (b) 6:53 (c) 7:43 (d) 6:43
- 5.A clock shows 1:09. What time will it show 14 minutes later? (a) 1:33 (b) 1:23 (c) 2:23 (d) 1:13
- 6.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
- 7.A clock shows 7:17. What time will it show 115 minutes later? (a) 10:12 (b) 9:12 (c) 9:22 (d) 9:02
- 8.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 106 minutes? =
- 12.A clock shows 6:50. What time will it show 138 minutes later? (a) 10:08 (b) 9:08 (c) 8:58 (d) 9:18
- 13.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 14.A clock shows 12:27. What time will it show 19 minutes later? (a) 12:46 (b) 12:56 (c) 1:46 (d) 12:36
- 15.How many degrees does the hour hand of a clock turn in 176 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 167 minutes? =
- 18.A clock shows 3:19. What time will it show 139 minutes later? (a) 5:48 (b) 6:38 (c) 5:38 (d) 5:28
- 19.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
- 21.How many degrees does the hour hand of a clock turn in 90 minutes? =
- 22.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 23.How many degrees does the hour hand of a clock turn in 166 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 25.A clock shows 2:29. What time will it show 27 minutes later? (a) 2:56 (b) 3:56 (c) 3:06 (d) 2:46
- 26.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 28.How many degrees does the hour hand of a clock turn in 150 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
- 30.A clock shows 10:34. What time will it show 110 minutes later? (a) 1:24 (b) 12:14 (c) 12:34 (d) 12:24
- 31.A clock shows 4:09. What time will it show 43 minutes later? (a) 4:42 (b) 5:52 (c) 5:02 (d) 4:52
- 32.A clock shows 1:36. What time will it show 13 minutes later? (a) 1:59 (b) 2:49 (c) 1:49 (d) 1:39
- 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 10:16? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
- 36.How many degrees does the hour hand of a clock turn in 179 minutes? =
- 37.A clock shows 10:47. What time will it show 29 minutes later? (a) 11:26 (b) 12:16 (c) 11:06 (d) 11:16
- 38.A clock shows 10:13. What time will it show 144 minutes later? (a) 1:37 (b) 12:47 (c) 12:37 (d) 12:27
- 39.A clock shows 2:17. What time will it show 111 minutes later? (a) 4:18 (b) 4:08 (c) 5:08 (d) 3:58
- 40.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
Answer key
- 51.5
- 4:33
- 22
- 6:43
- 1:23
- 4.5
- 9:12
- 123
- 276
- 60.5
- 53
- 9:08
- 36
- 12:46
- 88
- 78.5
- 83.5
- 5:38
- 27
- 53
- 45
- 282
- 83
- 246
- 2:56
- 58
- 240
- 75
- 123.5
- 12:24
- 4:52
- 1:49
- 342
- 148
- 69
- 89.5
- 11:16
- 12:37
- 4:08
- 111.5
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