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 14 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
- 6.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 7.How many degrees does the hour hand of a clock turn in 137 minutes? =
- 8.A clock shows 5:47. What time will it show 12 minutes later? (a) 5:49 (b) 6:59 (c) 5:59 (d) 6:09
- 9.A clock shows 2:28. What time will it show 74 minutes later? (a) 3:52 (b) 3:42 (c) 4:42 (d) 3:32
- 10.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 11.A clock shows 4:15. What time will it show 159 minutes later? (a) 7:04 (b) 7:54 (c) 6:44 (d) 6:54
- 12.A clock shows 11:53. What time will it show 12 minutes later? (a) 11:55 (b) 12:05 (c) 12:15 (d) 1:05
- 13.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 164 minutes? =
- 16.A clock shows 8:30. What time will it show 83 minutes later? (a) 10:03 (b) 9:43 (c) 10:53 (d) 9:53
- 17.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
- 19.How many degrees does the hour hand of a clock turn in 157 minutes? =
- 20.How many degrees does the hour hand of a clock turn in 156 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 21 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 84 minutes? =
- 23.A clock shows 4:50. What time will it show 146 minutes later? (a) 8:16 (b) 7:06 (c) 7:26 (d) 7:16
- 24.A clock shows 2:49. What time will it show 124 minutes later? (a) 4:43 (b) 5:03 (c) 5:53 (d) 4:53
- 25.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
- 27.A clock shows 3:13. What time will it show 80 minutes later? (a) 4:43 (b) 4:33 (c) 5:33 (d) 4:23
- 28.A clock shows 2:07. What time will it show 28 minutes later? (a) 2:35 (b) 3:35 (c) 2:25 (d) 2:45
- 29.How many degrees does the hour hand of a clock turn in 125 minutes? =
- 30.A clock shows 12:12. What time will it show 71 minutes later? (a) 1:13 (b) 1:23 (c) 1:33 (d) 2:23
- 31.How many degrees does the hour hand of a clock turn in 120 minutes? =
- 32.A clock shows 4:24. What time will it show 141 minutes later? (a) 6:45 (b) 6:35 (c) 7:45 (d) 6:55
- 33.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 35.A clock shows 7:07. What time will it show 114 minutes later? (a) 8:51 (b) 10:01 (c) 9:11 (d) 9:01
- 36.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 37.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 38.A clock shows 8:18. What time will it show 93 minutes later? (a) 10:01 (b) 10:51 (c) 9:41 (d) 9:51
- 39.A clock shows 6:05. What time will it show 75 minutes later? (a) 8:20 (b) 7:30 (c) 7:10 (d) 7:20
- 40.A clock shows 6:20. What time will it show 156 minutes later? (a) 9:06 (b) 8:56 (c) 8:46 (d) 9:56
Answer key
- 84
- 165
- 64
- 270
- 107
- 324
- 68.5
- 5:59
- 3:42
- 210
- 6:54
- 12:05
- 27
- 166
- 82
- 9:53
- 66
- 115
- 78.5
- 78
- 10.5
- 42
- 7:16
- 4:53
- 42
- 79
- 4:33
- 2:35
- 62.5
- 1:23
- 60
- 6:45
- 152
- 264
- 9:01
- 126
- 168
- 9:51
- 7:20
- 8:56
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