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 10:52. What time will it show 58 minutes later? (a) 12:00 (b) 11:40 (c) 11:50 (d) 12:50
- 2.A clock shows 4:19. What time will it show 112 minutes later? (a) 7:11 (b) 6:21 (c) 6:01 (d) 6:11
- 3.How many degrees does the hour hand of a clock turn in 112 minutes? =
- 4.How many degrees does the hour hand of a clock turn in 98 minutes? =
- 5.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 8.A clock shows 10:58. What time will it show 95 minutes later? (a) 12:23 (b) 1:33 (c) 12:33 (d) 12:43
- 9.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 90 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
- 14.A clock shows 7:11. What time will it show 157 minutes later? (a) 9:38 (b) 10:48 (c) 9:58 (d) 9:48
- 15.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
- 16.A clock shows 9:00. What time will it show 123 minutes later? (a) 11:13 (b) 11:03 (c) 12:03 (d) 10:53
- 17.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
- 18.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
- 22.How many degrees does the hour hand of a clock turn in 155 minutes? =
- 23.A clock shows 3:06. What time will it show 108 minutes later? (a) 5:54 (b) 4:54 (c) 4:44 (d) 5:04
- 24.A clock shows 8:00. What time will it show 53 minutes later? (a) 8:43 (b) 8:53 (c) 9:53 (d) 9:03
- 25.A clock shows 6:41. What time will it show 100 minutes later? (a) 8:21 (b) 8:31 (c) 9:21 (d) 8:11
- 26.A clock shows 7:12. What time will it show 169 minutes later? (a) 9:51 (b) 10:11 (c) 10:01 (d) 11:01
- 27.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 29.A clock shows 12:34. What time will it show 76 minutes later? (a) 2:00 (b) 1:50 (c) 2:50 (d) 1:40
- 30.A clock shows 2:50. What time will it show 61 minutes later? (a) 4:01 (b) 4:51 (c) 3:51 (d) 3:41
- 31.A clock shows 12:23. What time will it show 76 minutes later? (a) 1:49 (b) 2:39 (c) 1:29 (d) 1:39
- 32.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
- 34.A clock shows 7:27. What time will it show 29 minutes later? (a) 7:56 (b) 7:46 (c) 8:06 (d) 8:56
- 35.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
- 36.A clock shows 10:34. What time will it show 120 minutes later? (a) 12:24 (b) 12:34 (c) 12:44 (d) 1:34
- 37.A clock shows 5:38. What time will it show 142 minutes later? (a) 8:00 (b) 7:50 (c) 8:10 (d) 9:00
- 38.What is the smaller angle between the hour hand and the minute hand at 12:21? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 7:25? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 62 minutes? =
Answer key
- 11:50
- 6:11
- 56
- 49
- 42
- 2
- 204
- 12:33
- 43
- 96
- 60
- 45
- 93
- 9:48
- 155.5
- 11:03
- 150.5
- 132
- 65
- 113.5
- 119
- 77.5
- 4:54
- 8:53
- 8:21
- 10:01
- 87.5
- 180
- 1:50
- 3:51
- 1:39
- 138
- 97.5
- 7:56
- 68
- 12:34
- 8:00
- 115.5
- 72.5
- 31
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