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 39 minutes? =
- 2.A clock shows 11:52. What time will it show 20 minutes later? (a) 1:12 (b) 12:12 (c) 12:22 (d) 12:02
- 3.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 4.A clock shows 10:16. What time will it show 60 minutes later? (a) 11:26 (b) 11:16 (c) 11:06 (d) 12:16
- 5.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 6.A clock shows 6:13. What time will it show 57 minutes later? (a) 8:10 (b) 7:20 (c) 7:10 (d) 7:00
- 7.How many degrees does the hour hand of a clock turn in 93 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
- 13.A clock shows 7:50. What time will it show 138 minutes later? (a) 11:08 (b) 10:18 (c) 10:08 (d) 9:58
- 14.A clock shows 4:45. What time will it show 75 minutes later? (a) 7:00 (b) 6:00 (c) 5:50 (d) 6:10
- 15.A clock shows 11:29. What time will it show 28 minutes later? (a) 11:57 (b) 12:57 (c) 12:07 (d) 11:47
- 16.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 27 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 149 minutes? =
- 22.A clock shows 12:43. What time will it show 106 minutes later? (a) 2:39 (b) 2:19 (c) 2:29 (d) 3:29
- 23.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
- 26.A clock shows 7:45. What time will it show 20 minutes later? (a) 7:55 (b) 9:05 (c) 8:15 (d) 8:05
- 27.A clock shows 11:34. What time will it show 158 minutes later? (a) 3:12 (b) 2:12 (c) 2:02 (d) 2:22
- 28.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
- 29.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 30.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 31.How many degrees does the hour hand of a clock turn in 173 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
- 33.A clock shows 9:24. What time will it show 34 minutes later? (a) 10:08 (b) 9:48 (c) 9:58 (d) 10:58
- 34.A clock shows 12:10. What time will it show 71 minutes later? (a) 1:11 (b) 2:21 (c) 1:31 (d) 1:21
- 35.A clock shows 10:04. What time will it show 69 minutes later? (a) 11:03 (b) 11:13 (c) 12:13 (d) 11:23
- 36.How many degrees does the hour hand of a clock turn in 170 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
- 39.A clock shows 5:56. What time will it show 152 minutes later? (a) 9:28 (b) 8:18 (c) 8:28 (d) 8:38
- 40.A clock shows 9:18. What time will it show 157 minutes later? (a) 12:05 (b) 11:55 (c) 12:55 (d) 11:45
Answer key
- 234
- 12:12
- 252
- 11:16
- 192
- 7:10
- 46.5
- 134
- 40.5
- 216
- 121
- 141.5
- 10:08
- 6:00
- 11:57
- 22.5
- 27
- 114
- 116.5
- 13.5
- 74.5
- 2:29
- 56
- 97
- 99.5
- 8:05
- 2:12
- 155.5
- 180
- 270
- 86.5
- 10.5
- 9:58
- 1:21
- 11:13
- 85
- 137.5
- 57
- 8:28
- 11:55
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