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 9:03. What time will it show 50 minutes later? (a) 10:53 (b) 10:03 (c) 9:43 (d) 9:53
- 2.How many degrees does the hour hand of a clock turn in 87 minutes? =
- 3.A clock shows 4:00. What time will it show 140 minutes later? (a) 6:20 (b) 7:20 (c) 6:10 (d) 6:30
- 4.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
- 7.A clock shows 12:02. What time will it show 122 minutes later? (a) 1:54 (b) 2:04 (c) 2:14 (d) 3:04
- 8.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 11.A clock shows 2:17. What time will it show 73 minutes later? (a) 3:20 (b) 3:40 (c) 4:30 (d) 3:30
- 12.A clock shows 10:06. What time will it show 13 minutes later? (a) 10:29 (b) 10:09 (c) 10:19 (d) 11:19
- 13.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
- 15.A clock shows 3:10. What time will it show 156 minutes later? (a) 5:56 (b) 5:36 (c) 5:46 (d) 6:46
- 16.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 64 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
- 21.How many degrees does the hour hand of a clock turn in 102 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 153 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
- 26.A clock shows 5:42. What time will it show 25 minutes later? (a) 7:07 (b) 6:07 (c) 6:17 (d) 5:57
- 27.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
- 29.A clock shows 7:18. What time will it show 10 minutes later? (a) 7:18 (b) 7:28 (c) 7:38 (d) 8:28
- 30.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
- 33.A clock shows 11:32. What time will it show 40 minutes later? (a) 12:22 (b) 12:12 (c) 1:12 (d) 12:02
- 34.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 120 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 133 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
Answer key
- 9:53
- 43.5
- 6:20
- 98
- 92
- 4.5
- 2:04
- 90.5
- 75.5
- 132
- 3:30
- 10:19
- 270
- 36.5
- 5:46
- 157.5
- 32
- 59.5
- 117.5
- 50.5
- 51
- 76.5
- 135.5
- 173.5
- 111
- 6:07
- 80.5
- 104
- 7:28
- 42
- 153.5
- 57
- 12:12
- 145
- 174
- 60
- 35.5
- 66.5
- 157
- 57.5
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