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 23 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 26 minutes? =
- 5.A clock shows 9:42. What time will it show 41 minutes later? (a) 11:23 (b) 10:33 (c) 10:13 (d) 10:23
- 6.How many degrees does the hour hand of a clock turn in 119 minutes? =
- 7.A clock shows 10:52. What time will it show 43 minutes later? (a) 12:35 (b) 11:45 (c) 11:25 (d) 11:35
- 8.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 10.How many degrees does the hour hand of a clock turn in 10 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
- 12.A clock shows 7:31. What time will it show 43 minutes later? (a) 8:24 (b) 8:04 (c) 9:14 (d) 8:14
- 13.A clock shows 11:35. What time will it show 10 minutes later? (a) 11:35 (b) 11:55 (c) 11:45 (d) 12:45
- 14.How many degrees does the hour hand of a clock turn in 121 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
- 16.How many degrees does the hour hand of a clock turn in 161 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 20.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 21.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
- 24.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 25.A clock shows 2:09. What time will it show 35 minutes later? (a) 2:44 (b) 2:34 (c) 2:54 (d) 3:44
- 26.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 65 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
- 29.How many degrees does the hour hand of a clock turn in 117 minutes? =
- 30.A clock shows 2:42. What time will it show 50 minutes later? (a) 3:22 (b) 4:32 (c) 3:42 (d) 3:32
- 31.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
- 34.A clock shows 7:47. What time will it show 14 minutes later? (a) 8:11 (b) 8:01 (c) 9:01 (d) 7:51
- 35.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 22 minutes? =
- 39.A clock shows 11:03. What time will it show 166 minutes later? (a) 1:59 (b) 2:49 (c) 1:39 (d) 1:49
- 40.How many degrees does the minute hand of a clock turn in 21 minutes? =
Answer key
- 138
- 58
- 76.5
- 13
- 10:23
- 59.5
- 11:35
- 114
- 204
- 5
- 137
- 8:14
- 11:45
- 60.5
- 0
- 80.5
- 83
- 19.5
- 60
- 108
- 114
- 60
- 24
- 354
- 2:44
- 146
- 32.5
- 49
- 58.5
- 3:32
- 42
- 107
- 131.5
- 8:01
- 47.5
- 162.5
- 56.5
- 11
- 1:49
- 126
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