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 4:46. What time will it show 104 minutes later? (a) 6:20 (b) 6:40 (c) 6:30 (d) 7:30
- 2.A clock shows 3:12. What time will it show 73 minutes later? (a) 4:15 (b) 5:25 (c) 4:35 (d) 4:25
- 3.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
- 6.A clock shows 10:51. What time will it show 38 minutes later? (a) 12:29 (b) 11:19 (c) 11:29 (d) 11:39
- 7.How many degrees does the hour hand of a clock turn in 69 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
- 9.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 10.A clock shows 1:23. What time will it show 14 minutes later? (a) 1:47 (b) 1:27 (c) 1:37 (d) 2:37
- 11.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 9:51? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
- 17.A clock shows 11:10. What time will it show 35 minutes later? (a) 11:45 (b) 12:45 (c) 11:55 (d) 11:35
- 18.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
- 22.A clock shows 9:25. What time will it show 157 minutes later? (a) 12:02 (b) 11:52 (c) 12:12 (d) 1:02
- 23.How many degrees does the hour hand of a clock turn in 42 minutes? =
- 24.How many degrees does the hour hand of a clock turn in 77 minutes? =
- 25.A clock shows 4:54. What time will it show 112 minutes later? (a) 7:46 (b) 6:46 (c) 6:56 (d) 6:36
- 26.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 29.A clock shows 9:39. What time will it show 97 minutes later? (a) 11:26 (b) 12:16 (c) 11:16 (d) 11:06
- 30.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
- 32.A clock shows 10:29. What time will it show 82 minutes later? (a) 12:51 (b) 11:41 (c) 12:01 (d) 11:51
- 33.A clock shows 6:38. What time will it show 26 minutes later? (a) 6:54 (b) 7:04 (c) 8:04 (d) 7:14
- 34.A clock shows 7:14. What time will it show 35 minutes later? (a) 8:49 (b) 7:49 (c) 7:39 (d) 7:59
- 35.A clock shows 9:21. What time will it show 46 minutes later? (a) 11:07 (b) 10:17 (c) 10:07 (d) 9:57
- 36.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 6:18? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
- 40.A clock shows 1:01. What time will it show 117 minutes later? (a) 2:48 (b) 3:08 (c) 3:58 (d) 2:58
Answer key
- 6:30
- 4:25
- 168
- 25
- 168.5
- 11:29
- 34.5
- 92
- 63
- 1:37
- 139.5
- 10.5
- 108
- 46
- 312
- 24.5
- 11:45
- 122
- 48
- 98
- 152
- 12:02
- 21
- 38.5
- 6:46
- 161
- 141.5
- 54
- 11:16
- 118.5
- 127
- 11:51
- 7:04
- 7:49
- 10:07
- 75.5
- 81
- 300
- 170.5
- 2:58
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