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 9:14? (in degrees) =
- 2.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 75 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 7.A clock shows 9:10. What time will it show 14 minutes later? (a) 9:34 (b) 9:24 (c) 9:14 (d) 10:24
- 8.How many degrees does the hour hand of a clock turn in 84 minutes? =
- 9.A clock shows 11:08. What time will it show 106 minutes later? (a) 1:04 (b) 12:54 (c) 1:54 (d) 12:44
- 10.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
- 12.A clock shows 4:13. What time will it show 20 minutes later? (a) 4:33 (b) 5:33 (c) 4:43 (d) 4:23
- 13.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 14.How many degrees does the hour hand of a clock turn in 122 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 17.A clock shows 2:49. What time will it show 89 minutes later? (a) 4:28 (b) 4:08 (c) 5:18 (d) 4:18
- 18.A clock shows 3:56. What time will it show 17 minutes later? (a) 4:13 (b) 4:23 (c) 4:03 (d) 5:13
- 19.How many degrees does the hour hand of a clock turn in 29 minutes? =
- 20.A clock shows 11:39. What time will it show 20 minutes later? (a) 12:09 (b) 11:59 (c) 12:59 (d) 11:49
- 21.What is the smaller angle between the hour hand and the minute hand at 9:54? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 23.A clock shows 3:04. What time will it show 70 minutes later? (a) 5:14 (b) 4:14 (c) 4:04 (d) 4:24
- 24.How many degrees does the hour hand of a clock turn in 27 minutes? =
- 25.How many degrees does the hour hand of a clock turn in 170 minutes? =
- 26.A clock shows 8:29. What time will it show 121 minutes later? (a) 11:30 (b) 10:20 (c) 10:40 (d) 10:30
- 27.How many degrees does the hour hand of a clock turn in 100 minutes? =
- 28.A clock shows 4:05. What time will it show 39 minutes later? (a) 4:54 (b) 4:34 (c) 5:44 (d) 4:44
- 29.A clock shows 5:42. What time will it show 139 minutes later? (a) 9:01 (b) 8:01 (c) 7:51 (d) 8:11
- 30.How many degrees does the hour hand of a clock turn in 141 minutes? =
- 31.A clock shows 4:16. What time will it show 10 minutes later? (a) 4:26 (b) 5:26 (c) 4:36 (d) 4:16
- 32.A clock shows 8:07. What time will it show 25 minutes later? (a) 8:42 (b) 8:22 (c) 9:32 (d) 8:32
- 33.How many degrees does the hour hand of a clock turn in 168 minutes? =
- 34.A clock shows 6:13. What time will it show 46 minutes later? (a) 6:59 (b) 7:09 (c) 7:59 (d) 6:49
- 35.A clock shows 6:40. What time will it show 23 minutes later? (a) 8:03 (b) 7:13 (c) 6:53 (d) 7:03
- 36.A clock shows 8:39. What time will it show 143 minutes later? (a) 11:02 (b) 11:12 (c) 10:52 (d) 12:02
- 37.A clock shows 1:39. What time will it show 102 minutes later? (a) 3:31 (b) 4:21 (c) 3:21 (d) 3:11
- 38.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 40 minutes? =
Answer key
- 167
- 192
- 74.5
- 173.5
- 37.5
- 294
- 9:24
- 42
- 12:54
- 306
- 94.5
- 4:33
- 300
- 61
- 169.5
- 282
- 4:18
- 4:13
- 14.5
- 11:59
- 27
- 18
- 4:14
- 13.5
- 85
- 10:30
- 50
- 4:44
- 8:01
- 70.5
- 4:26
- 8:32
- 84
- 6:59
- 7:03
- 11:02
- 3:21
- 63
- 91.5
- 20
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