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.A clock shows 2:31. What time will it show 30 minutes later? (a) 3:01 (b) 4:01 (c) 2:51 (d) 3:11
- 2.What is the smaller angle between the hour hand and the minute hand at 11:31? (in degrees) =
- 3.How many degrees does the hour hand of a clock turn in 174 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
- 5.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 6.How many degrees does the hour hand of a clock turn in 79 minutes? =
- 7.How many degrees does the hour hand of a clock turn in 101 minutes? =
- 8.A clock shows 7:45. What time will it show 35 minutes later? (a) 9:20 (b) 8:20 (c) 8:10 (d) 8:30
- 9.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 6:48? (in degrees) =
- 12.A clock shows 5:04. What time will it show 122 minutes later? (a) 7:16 (b) 6:56 (c) 7:06 (d) 8:06
- 13.What is the smaller angle between the hour hand and the minute hand at 7:10? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 145 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 16.How many degrees does the hour hand of a clock turn in 26 minutes? =
- 17.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 18.A clock shows 1:16. What time will it show 20 minutes later? (a) 2:36 (b) 1:46 (c) 1:36 (d) 1:26
- 19.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 144 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
- 24.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 25.A clock shows 1:54. What time will it show 78 minutes later? (a) 3:12 (b) 4:12 (c) 3:22 (d) 3:02
- 26.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
- 28.A clock shows 5:43. What time will it show 124 minutes later? (a) 7:57 (b) 7:47 (c) 8:47 (d) 7:37
- 29.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
- 32.A clock shows 3:06. What time will it show 93 minutes later? (a) 5:39 (b) 4:49 (c) 4:39 (d) 4:29
- 33.A clock shows 3:09. What time will it show 157 minutes later? (a) 5:36 (b) 6:46 (c) 5:56 (d) 5:46
- 34.A clock shows 7:06. What time will it show 128 minutes later? (a) 10:14 (b) 9:14 (c) 9:24 (d) 9:04
- 35.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 36.A clock shows 12:02. What time will it show 23 minutes later? (a) 12:15 (b) 1:25 (c) 12:35 (d) 12:25
- 37.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
- 38.A clock shows 11:09. What time will it show 25 minutes later? (a) 11:24 (b) 11:34 (c) 12:34 (d) 11:44
- 39.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 46 minutes? =
Answer key
- 3:01
- 159.5
- 87
- 24.5
- 66
- 39.5
- 50.5
- 8:20
- 70.5
- 198
- 84
- 7:06
- 155
- 72.5
- 258
- 13
- 324
- 1:36
- 88
- 33
- 60
- 72
- 49.5
- 120
- 3:12
- 65
- 97
- 7:47
- 306
- 58.5
- 131
- 4:39
- 5:46
- 9:14
- 78
- 12:25
- 177.5
- 11:34
- 26
- 276
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