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 7 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 4.A clock shows 11:51. What time will it show 151 minutes later? (a) 2:12 (b) 2:22 (c) 3:22 (d) 2:32
- 5.A clock shows 1:13. What time will it show 50 minutes later? (a) 1:53 (b) 2:03 (c) 3:03 (d) 2:13
- 6.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
- 12.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
- 14.A clock shows 9:25. What time will it show 98 minutes later? (a) 11:13 (b) 11:03 (c) 10:53 (d) 12:03
- 15.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
- 16.A clock shows 8:19. What time will it show 60 minutes later? (a) 9:09 (b) 9:29 (c) 9:19 (d) 10:19
- 17.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
- 18.A clock shows 7:35. What time will it show 35 minutes later? (a) 9:10 (b) 8:10 (c) 8:20 (d) 8:00
- 19.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 20.How many degrees does the hour hand of a clock turn in 82 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 56 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
- 23.A clock shows 9:48. What time will it show 37 minutes later? (a) 10:35 (b) 11:25 (c) 10:25 (d) 10:15
- 24.How many degrees does the hour hand of a clock turn in 107 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 26.A clock shows 8:43. What time will it show 66 minutes later? (a) 9:49 (b) 9:59 (c) 9:39 (d) 10:49
- 27.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 157 minutes? =
- 29.A clock shows 7:33. What time will it show 51 minutes later? (a) 8:24 (b) 9:24 (c) 8:14 (d) 8:34
- 30.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
- 31.A clock shows 2:00. What time will it show 95 minutes later? (a) 4:35 (b) 3:35 (c) 3:45 (d) 3:25
- 32.A clock shows 2:44. What time will it show 103 minutes later? (a) 4:37 (b) 4:17 (c) 5:27 (d) 4:27
- 33.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
- 35.A clock shows 10:15. What time will it show 25 minutes later? (a) 10:30 (b) 10:50 (c) 10:40 (d) 11:40
- 36.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
- 37.A clock shows 4:47. What time will it show 76 minutes later? (a) 5:53 (b) 6:13 (c) 6:03 (d) 7:03
- 38.A clock shows 5:26. What time will it show 78 minutes later? (a) 6:54 (b) 6:34 (c) 7:44 (d) 6:44
- 39.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
Answer key
- 42
- 34
- 216
- 2:22
- 2:03
- 70
- 144
- 122.5
- 5.5
- 60.5
- 127.5
- 210
- 36.5
- 11:03
- 52.5
- 9:19
- 69.5
- 8:10
- 252
- 41
- 28
- 90
- 10:25
- 53.5
- 36
- 9:49
- 121.5
- 78.5
- 8:24
- 166
- 3:35
- 4:27
- 72
- 114.5
- 10:40
- 141
- 6:03
- 6:44
- 127
- 116
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