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 11:50. What time will it show 112 minutes later? (a) 1:42 (b) 1:52 (c) 2:42 (d) 1:32
- 2.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
- 3.A clock shows 7:04. What time will it show 118 minutes later? (a) 8:52 (b) 9:12 (c) 9:02 (d) 10:02
- 4.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 11:31? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
- 10.A clock shows 9:11. What time will it show 110 minutes later? (a) 11:01 (b) 10:51 (c) 12:01 (d) 11:11
- 11.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
- 12.A clock shows 2:54. What time will it show 114 minutes later? (a) 4:38 (b) 4:58 (c) 5:48 (d) 4:48
- 13.A clock shows 4:31. What time will it show 154 minutes later? (a) 7:05 (b) 6:55 (c) 7:15 (d) 8:05
- 14.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
- 15.A clock shows 3:27. What time will it show 162 minutes later? (a) 6:19 (b) 7:09 (c) 5:59 (d) 6:09
- 16.A clock shows 1:20. What time will it show 160 minutes later? (a) 5:00 (b) 3:50 (c) 4:00 (d) 4:10
- 17.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
- 19.A clock shows 1:01. What time will it show 76 minutes later? (a) 2:27 (b) 2:07 (c) 3:17 (d) 2:17
- 20.A clock shows 2:04. What time will it show 11 minutes later? (a) 2:25 (b) 3:15 (c) 2:05 (d) 2:15
- 21.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 22.A clock shows 10:52. What time will it show 95 minutes later? (a) 1:27 (b) 12:37 (c) 12:17 (d) 12:27
- 23.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 24.A clock shows 11:12. What time will it show 127 minutes later? (a) 1:29 (b) 1:19 (c) 2:19 (d) 1:09
- 25.A clock shows 5:14. What time will it show 83 minutes later? (a) 7:37 (b) 6:27 (c) 6:47 (d) 6:37
- 26.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
- 29.A clock shows 12:31. What time will it show 168 minutes later? (a) 3:09 (b) 3:19 (c) 3:29 (d) 4:19
- 30.How many degrees does the hour hand of a clock turn in 25 minutes? =
- 31.How many degrees does the hour hand of a clock turn in 93 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
- 33.How many degrees does the hour hand of a clock turn in 88 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 36.A clock shows 2:21. What time will it show 142 minutes later? (a) 4:43 (b) 5:43 (c) 4:53 (d) 4:33
- 37.A clock shows 12:01. What time will it show 87 minutes later? (a) 1:38 (b) 1:18 (c) 1:28 (d) 2:28
- 38.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 39.A clock shows 5:15. What time will it show 71 minutes later? (a) 6:16 (b) 7:26 (c) 6:26 (d) 6:36
- 40.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
Answer key
- 1:42
- 25
- 9:02
- 80.5
- 154.5
- 35.5
- 159.5
- 342
- 41.5
- 11:01
- 57.5
- 4:48
- 7:05
- 107.5
- 6:09
- 4:00
- 42
- 67.5
- 2:17
- 2:15
- 162
- 12:27
- 24
- 1:19
- 6:37
- 91
- 348
- 160.5
- 3:19
- 12.5
- 46.5
- 81
- 44
- 24.5
- 300
- 4:43
- 1:28
- 258
- 6:26
- 46.5
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