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 8:45. What time will it show 64 minutes later? (a) 10:49 (b) 9:39 (c) 9:59 (d) 9:49
- 2.A clock shows 11:43. What time will it show 64 minutes later? (a) 1:47 (b) 12:37 (c) 12:47 (d) 12:57
- 3.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
- 5.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 19 minutes? =
- 8.A clock shows 12:13. What time will it show 109 minutes later? (a) 3:02 (b) 1:52 (c) 2:02 (d) 2:12
- 9.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 10.How many degrees does the hour hand of a clock turn in 155 minutes? =
- 11.How many degrees does the hour hand of a clock turn in 100 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 116 minutes? =
- 15.A clock shows 6:42. What time will it show 165 minutes later? (a) 9:27 (b) 9:17 (c) 9:37 (d) 10:27
- 16.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 17.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
- 21.How many degrees does the hour hand of a clock turn in 31 minutes? =
- 22.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 23.A clock shows 6:08. What time will it show 122 minutes later? (a) 8:20 (b) 9:10 (c) 8:00 (d) 8:10
- 24.A clock shows 12:52. What time will it show 67 minutes later? (a) 2:09 (b) 2:59 (c) 1:49 (d) 1:59
- 25.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
- 30.A clock shows 11:17. What time will it show 132 minutes later? (a) 1:39 (b) 2:29 (c) 1:19 (d) 1:29
- 31.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 9:01? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
- 36.How many degrees does the hour hand of a clock turn in 88 minutes? =
- 37.A clock shows 10:52. What time will it show 160 minutes later? (a) 1:22 (b) 1:42 (c) 2:32 (d) 1:32
- 38.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
- 40.A clock shows 8:04. What time will it show 162 minutes later? (a) 10:56 (b) 11:46 (c) 10:46 (d) 10:36
Answer key
- 9:49
- 12:47
- 258
- 128
- 288
- 175.5
- 9.5
- 2:02
- 84
- 77.5
- 50
- 160.5
- 78.5
- 58
- 9:27
- 162
- 264
- 33
- 40
- 53.5
- 15.5
- 108
- 8:10
- 1:59
- 120
- 137
- 117.5
- 84.5
- 89.5
- 1:29
- 294
- 29
- 95.5
- 44
- 37
- 44
- 1:32
- 7.5
- 134
- 10:46
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