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 50 minutes? =
- 2.A clock shows 6:15. What time will it show 130 minutes later? (a) 8:35 (b) 9:25 (c) 8:25 (d) 8:15
- 3.A clock shows 7:39. What time will it show 139 minutes later? (a) 10:58 (b) 10:08 (c) 9:48 (d) 9:58
- 4.What is the smaller angle between the hour hand and the minute hand at 7:45? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 154 minutes? =
- 6.How many degrees does the hour hand of a clock turn in 114 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 9.A clock shows 6:05. What time will it show 116 minutes later? (a) 9:01 (b) 7:51 (c) 8:01 (d) 8:11
- 10.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
- 12.A clock shows 1:03. What time will it show 16 minutes later? (a) 2:19 (b) 1:29 (c) 1:19 (d) 1:09
- 13.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 164 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
- 16.A clock shows 10:13. What time will it show 10 minutes later? (a) 10:13 (b) 11:23 (c) 10:33 (d) 10:23
- 17.A clock shows 7:02. What time will it show 156 minutes later? (a) 9:28 (b) 9:48 (c) 9:38 (d) 10:38
- 18.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 175 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 22.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
- 24.A clock shows 7:23. What time will it show 114 minutes later? (a) 9:07 (b) 10:17 (c) 9:27 (d) 9:17
- 25.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
- 28.A clock shows 4:44. What time will it show 24 minutes later? (a) 5:18 (b) 6:08 (c) 5:08 (d) 4:58
- 29.A clock shows 9:50. What time will it show 116 minutes later? (a) 11:56 (b) 12:46 (c) 11:36 (d) 11:46
- 30.A clock shows 3:05. What time will it show 33 minutes later? (a) 3:38 (b) 3:48 (c) 4:38 (d) 3:28
- 31.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 32.A clock shows 8:59. What time will it show 112 minutes later? (a) 11:01 (b) 10:51 (c) 11:51 (d) 10:41
- 33.How many degrees does the hour hand of a clock turn in 10 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 10:34? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
- 38.A clock shows 5:43. What time will it show 70 minutes later? (a) 7:03 (b) 7:53 (c) 6:53 (d) 6:43
- 39.A clock shows 3:52. What time will it show 33 minutes later? (a) 4:15 (b) 5:25 (c) 4:35 (d) 4:25
- 40.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
Answer key
- 300
- 8:25
- 9:58
- 37.5
- 77
- 57
- 45.5
- 204
- 8:01
- 54
- 80.5
- 1:19
- 89.5
- 82
- 167.5
- 10:23
- 9:38
- 246
- 87.5
- 73
- 30
- 252
- 88.5
- 9:17
- 114.5
- 162
- 3.5
- 5:08
- 11:46
- 3:38
- 18
- 10:51
- 5
- 113
- 158.5
- 106
- 128
- 6:53
- 4:25
- 169
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