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.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
- 3.A clock shows 1:27. What time will it show 133 minutes later? (a) 3:50 (b) 3:30 (c) 3:40 (d) 4:40
- 4.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 5.A clock shows 11:39. What time will it show 14 minutes later? (a) 12:03 (b) 12:53 (c) 11:43 (d) 11:53
- 6.A clock shows 1:29. What time will it show 74 minutes later? (a) 2:43 (b) 2:53 (c) 3:43 (d) 2:33
- 7.A clock shows 11:33. What time will it show 99 minutes later? (a) 1:22 (b) 1:02 (c) 2:12 (d) 1:12
- 8.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 10.A clock shows 12:23. What time will it show 160 minutes later? (a) 3:13 (b) 3:03 (c) 4:03 (d) 2:53
- 11.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
- 13.A clock shows 3:04. What time will it show 98 minutes later? (a) 4:42 (b) 4:32 (c) 5:42 (d) 4:52
- 14.A clock shows 8:44. What time will it show 141 minutes later? (a) 12:05 (b) 10:55 (c) 11:15 (d) 11:05
- 15.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
- 17.A clock shows 5:16. What time will it show 117 minutes later? (a) 8:13 (b) 7:03 (c) 7:13 (d) 7:23
- 18.How many degrees does the hour hand of a clock turn in 169 minutes? =
- 19.A clock shows 9:08. What time will it show 164 minutes later? (a) 11:42 (b) 12:52 (c) 11:52 (d) 12:02
- 20.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 22.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 23.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 24.How many degrees does the hour hand of a clock turn in 138 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 66 minutes? =
- 28.A clock shows 3:55. What time will it show 108 minutes later? (a) 6:43 (b) 5:53 (c) 5:43 (d) 5:33
- 29.A clock shows 10:22. What time will it show 109 minutes later? (a) 12:11 (b) 12:21 (c) 1:11 (d) 12:01
- 30.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
- 31.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 32.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 33.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
- 35.How many degrees does the hour hand of a clock turn in 42 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 6:54? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
Answer key
- 91.5
- 83.5
- 3:40
- 318
- 11:53
- 2:43
- 1:12
- 47.5
- 348
- 3:03
- 136.5
- 34
- 4:42
- 11:05
- 60
- 8.5
- 7:13
- 84.5
- 11:52
- 49.5
- 234
- 216
- 204
- 69
- 246
- 152.5
- 33
- 5:43
- 12:11
- 143.5
- 96
- 264
- 12
- 131.5
- 21
- 50
- 21
- 117
- 78.5
- 86.5
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