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 9:41. What time will it show 84 minutes later? (a) 11:15 (b) 11:05 (c) 12:05 (d) 10:55
- 2.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 3.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
- 5.A clock shows 2:52. What time will it show 115 minutes later? (a) 4:47 (b) 4:37 (c) 5:47 (d) 4:57
- 6.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
- 7.A clock shows 7:44. What time will it show 43 minutes later? (a) 8:17 (b) 8:27 (c) 9:27 (d) 8:37
- 8.A clock shows 12:24. What time will it show 130 minutes later? (a) 2:34 (b) 3:34 (c) 2:24 (d) 2:44
- 9.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
- 11.A clock shows 12:05. What time will it show 47 minutes later? (a) 1:52 (b) 12:52 (c) 1:02 (d) 12:42
- 12.How many degrees does the hour hand of a clock turn in 48 minutes? =
- 13.A clock shows 5:06. What time will it show 128 minutes later? (a) 8:14 (b) 7:14 (c) 7:24 (d) 7:04
- 14.How many degrees does the hour hand of a clock turn in 123 minutes? =
- 15.A clock shows 8:37. What time will it show 34 minutes later? (a) 9:01 (b) 9:21 (c) 9:11 (d) 10:11
- 16.A clock shows 9:05. What time will it show 148 minutes later? (a) 12:33 (b) 11:33 (c) 11:43 (d) 11:23
- 17.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
- 18.A clock shows 10:19. What time will it show 115 minutes later? (a) 12:14 (b) 1:14 (c) 12:24 (d) 12:04
- 19.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 151 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
- 22.A clock shows 9:09. What time will it show 24 minutes later? (a) 9:23 (b) 10:33 (c) 9:33 (d) 9:43
- 23.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
- 24.A clock shows 11:44. What time will it show 158 minutes later? (a) 2:32 (b) 2:22 (c) 2:12 (d) 3:22
- 25.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
- 26.A clock shows 6:51. What time will it show 128 minutes later? (a) 9:09 (b) 8:49 (c) 8:59 (d) 9:59
- 27.A clock shows 12:01. What time will it show 142 minutes later? (a) 2:33 (b) 2:13 (c) 3:23 (d) 2:23
- 28.How many degrees does the hour hand of a clock turn in 78 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =
- 30.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 31.How many degrees does the hour hand of a clock turn in 131 minutes? =
- 32.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
- 34.How many degrees does the hour hand of a clock turn in 180 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
- 36.How many degrees does the hour hand of a clock turn in 87 minutes? =
- 37.How many degrees does the hour hand of a clock turn in 62 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
Answer key
- 11:05
- 54
- 138
- 92.5
- 4:47
- 140.5
- 8:27
- 2:34
- 12
- 76
- 12:52
- 24
- 7:14
- 61.5
- 9:11
- 11:33
- 117.5
- 12:14
- 45
- 75.5
- 136
- 9:33
- 92
- 2:22
- 95.5
- 8:59
- 2:23
- 39
- 6.5
- 162
- 65.5
- 312
- 35
- 90
- 38.5
- 43.5
- 31
- 142.5
- 126.5
- 123.5
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