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.A clock shows 3:30. What time will it show 131 minutes later? (a) 5:31 (b) 5:51 (c) 5:41 (d) 6:41
- 2.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
- 4.A clock shows 4:25. What time will it show 168 minutes later? (a) 7:23 (b) 7:03 (c) 8:13 (d) 7:13
- 5.A clock shows 12:17. What time will it show 100 minutes later? (a) 2:57 (b) 1:57 (c) 1:47 (d) 2:07
- 6.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
- 7.A clock shows 9:05. What time will it show 71 minutes later? (a) 11:16 (b) 10:26 (c) 10:16 (d) 10:06
- 8.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
- 10.A clock shows 9:02. What time will it show 30 minutes later? (a) 10:32 (b) 9:42 (c) 9:22 (d) 9:32
- 11.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
- 12.A clock shows 7:19. What time will it show 16 minutes later? (a) 8:35 (b) 7:45 (c) 7:25 (d) 7:35
- 13.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
- 14.A clock shows 8:48. What time will it show 47 minutes later? (a) 9:25 (b) 9:35 (c) 9:45 (d) 10:35
- 15.A clock shows 10:10. What time will it show 129 minutes later? (a) 1:19 (b) 12:19 (c) 12:29 (d) 12:09
- 16.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 6:29? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
- 19.A clock shows 10:37. What time will it show 94 minutes later? (a) 1:11 (b) 12:01 (c) 12:11 (d) 12:21
- 20.How many degrees does the hour hand of a clock turn in 15 minutes? =
- 21.A clock shows 1:30. What time will it show 35 minutes later? (a) 1:55 (b) 3:05 (c) 2:05 (d) 2:15
- 22.A clock shows 10:55. What time will it show 25 minutes later? (a) 12:20 (b) 11:30 (c) 11:20 (d) 11:10
- 23.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
- 24.A clock shows 8:48. What time will it show 121 minutes later? (a) 10:39 (b) 11:49 (c) 10:59 (d) 10:49
- 25.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 4:21? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
- 33.A clock shows 2:34. What time will it show 46 minutes later? (a) 3:30 (b) 3:20 (c) 3:10 (d) 4:20
- 34.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
- 35.How many degrees does the hour hand of a clock turn in 43 minutes? =
- 36.A clock shows 3:23. What time will it show 59 minutes later? (a) 4:22 (b) 4:12 (c) 5:22 (d) 4:32
- 37.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 38 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
- 40.A clock shows 6:17. What time will it show 47 minutes later? (a) 7:14 (b) 6:54 (c) 8:04 (d) 7:04
Answer key
- 5:41
- 37.5
- 7
- 7:13
- 1:57
- 29
- 10:16
- 67.5
- 14.5
- 9:32
- 157
- 7:35
- 150.5
- 9:35
- 12:19
- 46.5
- 20.5
- 90.5
- 12:11
- 7.5
- 2:05
- 11:20
- 14
- 10:49
- 118
- 93
- 38
- 107.5
- 4.5
- 122
- 168.5
- 76.5
- 3:20
- 21
- 21.5
- 4:22
- 132
- 19
- 12.5
- 7:04
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