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 8:16. What time will it show 150 minutes later? (a) 11:46 (b) 10:56 (c) 10:46 (d) 10:36
- 2.A clock shows 10:51. What time will it show 48 minutes later? (a) 11:29 (b) 11:49 (c) 12:39 (d) 11:39
- 3.A clock shows 11:39. What time will it show 127 minutes later? (a) 1:46 (b) 2:46 (c) 1:56 (d) 1:36
- 4.A clock shows 4:10. What time will it show 147 minutes later? (a) 6:27 (b) 7:37 (c) 6:47 (d) 6:37
- 5.How many degrees does the hour hand of a clock turn in 136 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 7.A clock shows 2:59. What time will it show 50 minutes later? (a) 3:49 (b) 3:59 (c) 3:39 (d) 4:49
- 8.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
- 10.A clock shows 8:50. What time will it show 150 minutes later? (a) 11:20 (b) 11:10 (c) 11:30 (d) 12:20
- 11.A clock shows 11:40. What time will it show 16 minutes later? (a) 12:56 (b) 11:56 (c) 11:46 (d) 12:06
- 12.How many degrees does the hour hand of a clock turn in 93 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 72 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
- 22.How many degrees does the hour hand of a clock turn in 165 minutes? =
- 23.A clock shows 1:10. What time will it show 54 minutes later? (a) 2:14 (b) 2:04 (c) 3:04 (d) 1:54
- 24.A clock shows 3:03. What time will it show 62 minutes later? (a) 4:05 (b) 5:05 (c) 4:15 (d) 3:55
- 25.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
- 26.A clock shows 5:12. What time will it show 101 minutes later? (a) 7:03 (b) 6:43 (c) 7:53 (d) 6:53
- 27.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 28.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 29.How many degrees does the hour hand of a clock turn in 85 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
- 31.A clock shows 5:30. What time will it show 35 minutes later? (a) 6:05 (b) 6:15 (c) 7:05 (d) 5:55
- 32.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
- 33.How many degrees does the hour hand of a clock turn in 10 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 36.A clock shows 1:42. What time will it show 26 minutes later? (a) 2:08 (b) 2:18 (c) 1:58 (d) 3:08
- 37.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 38.How many degrees does the hour hand of a clock turn in 55 minutes? =
- 39.A clock shows 7:24. What time will it show 119 minutes later? (a) 9:13 (b) 10:23 (c) 9:33 (d) 9:23
- 40.How many degrees does the hour hand of a clock turn in 127 minutes? =
Answer key
- 10:46
- 11:39
- 1:46
- 6:37
- 68
- 132
- 3:49
- 171
- 87.5
- 11:20
- 11:56
- 46.5
- 118
- 36
- 108
- 149.5
- 270
- 288
- 11
- 44
- 59.5
- 82.5
- 2:04
- 4:05
- 123
- 6:53
- 102
- 300
- 42.5
- 115
- 6:05
- 120
- 5
- 14.5
- 126
- 2:08
- 198
- 27.5
- 9:23
- 63.5
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