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 6:58? (in degrees) =
- 2.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
- 5.A clock shows 8:42. What time will it show 149 minutes later? (a) 11:01 (b) 11:21 (c) 12:11 (d) 11:11
- 6.A clock shows 2:54. What time will it show 163 minutes later? (a) 5:47 (b) 6:37 (c) 5:37 (d) 5:27
- 7.How many degrees does the hour hand of a clock turn in 31 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
- 9.How many degrees does the hour hand of a clock turn in 139 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
- 12.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 172 minutes? =
- 15.A clock shows 7:02. What time will it show 55 minutes later? (a) 8:57 (b) 8:07 (c) 7:47 (d) 7:57
- 16.How many degrees does the hour hand of a clock turn in 11 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
- 18.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 19.A clock shows 3:58. What time will it show 115 minutes later? (a) 6:53 (b) 6:03 (c) 5:43 (d) 5:53
- 20.A clock shows 2:02. What time will it show 97 minutes later? (a) 3:29 (b) 3:49 (c) 4:39 (d) 3:39
- 21.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 23.A clock shows 11:05. What time will it show 16 minutes later? (a) 12:21 (b) 11:11 (c) 11:21 (d) 11:31
- 24.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
- 25.A clock shows 10:53. What time will it show 121 minutes later? (a) 12:44 (b) 1:54 (c) 12:54 (d) 1:04
- 26.A clock shows 5:30. What time will it show 31 minutes later? (a) 5:51 (b) 7:01 (c) 6:01 (d) 6:11
- 27.A clock shows 9:56. What time will it show 26 minutes later? (a) 10:32 (b) 10:22 (c) 11:22 (d) 10:12
- 28.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
- 30.How many degrees does the hour hand of a clock turn in 80 minutes? =
- 31.How many degrees does the hour hand of a clock turn in 90 minutes? =
- 32.A clock shows 8:28. What time will it show 107 minutes later? (a) 11:15 (b) 10:05 (c) 10:15 (d) 10:25
- 33.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 34.A clock shows 9:09. What time will it show 49 minutes later? (a) 9:48 (b) 10:08 (c) 10:58 (d) 9:58
- 35.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
- 37.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 38.A clock shows 4:00. What time will it show 77 minutes later? (a) 5:27 (b) 5:07 (c) 6:17 (d) 5:17
- 39.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
- 40.A clock shows 12:17. What time will it show 25 minutes later? (a) 12:32 (b) 12:42 (c) 1:42 (d) 12:52
Answer key
- 139
- 174
- 19.5
- 132.5
- 11:11
- 5:37
- 15.5
- 175
- 69.5
- 118.5
- 131.5
- 198
- 63
- 86
- 7:57
- 5.5
- 24.5
- 24
- 5:53
- 3:39
- 61.5
- 306
- 11:21
- 19.5
- 12:54
- 6:01
- 10:22
- 11
- 33.5
- 40
- 45
- 10:15
- 324
- 9:58
- 192
- 14.5
- 54
- 5:17
- 98.5
- 12:42
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