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 5:02. What time will it show 79 minutes later? (a) 6:11 (b) 7:21 (c) 6:31 (d) 6:21
- 3.A clock shows 10:04. What time will it show 109 minutes later? (a) 12:53 (b) 12:03 (c) 11:53 (d) 11:43
- 4.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
- 6.A clock shows 11:18. What time will it show 72 minutes later? (a) 12:20 (b) 12:40 (c) 12:30 (d) 1:30
- 7.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
- 9.A clock shows 2:15. What time will it show 36 minutes later? (a) 2:41 (b) 3:51 (c) 3:01 (d) 2:51
- 10.A clock shows 4:20. What time will it show 27 minutes later? (a) 5:47 (b) 4:57 (c) 4:37 (d) 4:47
- 11.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 170 minutes? =
- 13.A clock shows 10:03. What time will it show 46 minutes later? (a) 10:49 (b) 11:49 (c) 10:59 (d) 10:39
- 14.A clock shows 8:30. What time will it show 125 minutes later? (a) 10:45 (b) 10:25 (c) 10:35 (d) 11:35
- 15.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
- 17.A clock shows 6:01. What time will it show 43 minutes later? (a) 6:54 (b) 6:34 (c) 7:44 (d) 6:44
- 18.A clock shows 7:56. What time will it show 167 minutes later? (a) 11:43 (b) 10:33 (c) 10:43 (d) 10:53
- 19.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 69 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 6:18? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
- 30.A clock shows 9:59. What time will it show 95 minutes later? (a) 11:44 (b) 11:24 (c) 12:34 (d) 11:34
- 31.A clock shows 9:18. What time will it show 33 minutes later? (a) 10:51 (b) 9:51 (c) 9:41 (d) 10:01
- 32.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
- 35.A clock shows 12:00. What time will it show 42 minutes later? (a) 1:42 (b) 12:42 (c) 12:52 (d) 12:32
- 36.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
Answer key
- 300
- 6:21
- 11:53
- 282
- 131.5
- 12:30
- 108
- 67.5
- 2:51
- 4:47
- 116.5
- 85
- 10:49
- 10:35
- 141
- 16
- 6:44
- 10:43
- 19
- 34.5
- 125
- 82.5
- 192
- 81
- 156
- 28.5
- 73
- 270
- 103
- 11:34
- 9:51
- 30
- 12
- 121.5
- 12:42
- 153.5
- 125.5
- 42
- 54
- 54
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