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 8:42? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
- 5.A clock shows 9:55. What time will it show 73 minutes later? (a) 10:58 (b) 12:08 (c) 11:18 (d) 11:08
- 6.A clock shows 9:44. What time will it show 116 minutes later? (a) 11:40 (b) 12:40 (c) 11:30 (d) 11:50
- 7.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
- 8.A clock shows 10:15. What time will it show 78 minutes later? (a) 11:33 (b) 12:33 (c) 11:43 (d) 11:23
- 9.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
- 12.A clock shows 11:00. What time will it show 96 minutes later? (a) 12:46 (b) 12:36 (c) 1:36 (d) 12:26
- 13.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
- 16.How many degrees does the hour hand of a clock turn in 87 minutes? =
- 17.A clock shows 9:35. What time will it show 54 minutes later? (a) 11:29 (b) 10:29 (c) 10:19 (d) 10:39
- 18.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 55 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
- 21.A clock shows 10:29. What time will it show 154 minutes later? (a) 12:53 (b) 1:13 (c) 2:03 (d) 1:03
- 22.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 23.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 24.A clock shows 12:58. What time will it show 52 minutes later? (a) 1:40 (b) 2:50 (c) 1:50 (d) 2:00
- 25.A clock shows 1:55. What time will it show 10 minutes later? (a) 3:05 (b) 2:15 (c) 1:55 (d) 2:05
- 26.How many degrees does the hour hand of a clock turn in 118 minutes? =
- 27.How many degrees does the hour hand of a clock turn in 157 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
- 29.A clock shows 7:33. What time will it show 42 minutes later? (a) 9:15 (b) 8:25 (c) 8:15 (d) 8:05
- 30.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
- 31.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 32.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 33.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
- 35.How many degrees does the hour hand of a clock turn in 43 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
- 37.A clock shows 10:22. What time will it show 48 minutes later? (a) 12:10 (b) 11:20 (c) 11:10 (d) 11:00
- 38.A clock shows 7:13. What time will it show 108 minutes later? (a) 10:01 (b) 9:11 (c) 8:51 (d) 9:01
- 39.What is the smaller angle between the hour hand and the minute hand at 6:54? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
Answer key
- 9
- 76
- 61
- 156
- 11:08
- 11:40
- 139.5
- 11:33
- 22.5
- 119.5
- 39.5
- 12:36
- 162.5
- 159
- 54
- 43.5
- 10:29
- 12
- 27.5
- 136
- 1:03
- 186
- 96
- 1:50
- 2:05
- 59
- 78.5
- 67.5
- 8:15
- 36.5
- 42
- 354
- 162
- 103.5
- 21.5
- 150
- 11:10
- 9:01
- 117
- 40.5
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