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.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 2.A clock shows 7:27. What time will it show 84 minutes later? (a) 9:51 (b) 9:01 (c) 8:41 (d) 8:51
- 3.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 156 minutes? =
- 5.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 7.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 8.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 9.How many degrees does the hour hand of a clock turn in 15 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 149 minutes? =
- 12.A clock shows 9:48. What time will it show 62 minutes later? (a) 11:50 (b) 11:00 (c) 10:40 (d) 10:50
- 13.A clock shows 3:08. What time will it show 39 minutes later? (a) 3:57 (b) 4:47 (c) 3:47 (d) 3:37
- 14.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
- 15.A clock shows 11:29. What time will it show 165 minutes later? (a) 2:24 (b) 2:14 (c) 2:04 (d) 3:14
- 16.How many degrees does the hour hand of a clock turn in 158 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
- 18.A clock shows 12:50. What time will it show 136 minutes later? (a) 4:06 (b) 3:06 (c) 3:16 (d) 2:56
- 19.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 20.A clock shows 1:19. What time will it show 98 minutes later? (a) 2:47 (b) 3:57 (c) 2:57 (d) 3:07
- 21.How many degrees does the hour hand of a clock turn in 85 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
- 24.A clock shows 7:47. What time will it show 70 minutes later? (a) 8:57 (b) 8:47 (c) 9:57 (d) 9:07
- 25.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
- 26.How many degrees does the hour hand of a clock turn in 66 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
- 28.A clock shows 12:45. What time will it show 170 minutes later? (a) 3:45 (b) 3:35 (c) 4:35 (d) 3:25
- 29.A clock shows 1:48. What time will it show 162 minutes later? (a) 4:40 (b) 4:20 (c) 5:30 (d) 4:30
- 30.A clock shows 1:40. What time will it show 102 minutes later? (a) 4:22 (b) 3:32 (c) 3:12 (d) 3:22
- 31.A clock shows 4:35. What time will it show 52 minutes later? (a) 5:37 (b) 5:17 (c) 6:27 (d) 5:27
- 32.A clock shows 7:57. What time will it show 96 minutes later? (a) 10:33 (b) 9:43 (c) 9:33 (d) 9:23
- 33.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 34.A clock shows 12:17. What time will it show 105 minutes later? (a) 2:02 (b) 1:52 (c) 2:12 (d) 3:02
- 35.A clock shows 10:18. What time will it show 30 minutes later? (a) 10:58 (b) 10:38 (c) 11:48 (d) 10:48
- 36.A clock shows 12:01. What time will it show 124 minutes later? (a) 1:55 (b) 3:05 (c) 2:05 (d) 2:15
- 37.A clock shows 5:17. What time will it show 85 minutes later? (a) 6:52 (b) 6:32 (c) 6:42 (d) 7:42
- 38.How many degrees does the hour hand of a clock turn in 90 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 43 minutes? =
Answer key
- 48
- 8:51
- 36.5
- 78
- 18
- 24
- 36
- 90
- 7.5
- 6.5
- 74.5
- 10:50
- 3:47
- 121.5
- 2:14
- 79
- 109.5
- 3:06
- 138
- 2:57
- 42.5
- 167
- 38.5
- 8:57
- 136.5
- 33
- 123
- 3:35
- 4:30
- 3:22
- 5:27
- 9:33
- 276
- 2:02
- 10:48
- 2:05
- 6:42
- 45
- 26.5
- 21.5
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