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 5:13. What time will it show 142 minutes later? (a) 7:45 (b) 7:35 (c) 8:35 (d) 7:25
- 2.A clock shows 4:10. What time will it show 66 minutes later? (a) 6:16 (b) 5:06 (c) 5:26 (d) 5:16
- 3.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 4.A clock shows 8:53. What time will it show 155 minutes later? (a) 11:38 (b) 11:28 (c) 11:18 (d) 12:28
- 5.A clock shows 3:26. What time will it show 64 minutes later? (a) 4:20 (b) 4:40 (c) 5:30 (d) 4:30
- 6.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =
- 7.A clock shows 2:07. What time will it show 123 minutes later? (a) 4:20 (b) 5:10 (c) 4:10 (d) 4:00
- 8.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
- 9.A clock shows 2:46. What time will it show 49 minutes later? (a) 3:25 (b) 3:45 (c) 4:35 (d) 3:35
- 10.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 35 minutes? =
- 13.A clock shows 10:01. What time will it show 56 minutes later? (a) 10:57 (b) 11:57 (c) 10:47 (d) 11:07
- 14.A clock shows 5:43. What time will it show 20 minutes later? (a) 6:13 (b) 5:53 (c) 7:03 (d) 6:03
- 15.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 134 minutes? =
- 21.A clock shows 6:20. What time will it show 71 minutes later? (a) 8:31 (b) 7:41 (c) 7:21 (d) 7:31
- 22.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 23.How many degrees does the hour hand of a clock turn in 133 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
- 25.How many degrees does the hour hand of a clock turn in 137 minutes? =
- 26.How many degrees does the hour hand of a clock turn in 148 minutes? =
- 27.How many degrees does the hour hand of a clock turn in 87 minutes? =
- 28.A clock shows 2:45. What time will it show 30 minutes later? (a) 3:25 (b) 3:15 (c) 4:15 (d) 3:05
- 29.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
- 32.A clock shows 8:59. What time will it show 147 minutes later? (a) 11:16 (b) 11:36 (c) 11:26 (d) 12:26
- 33.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
- 34.A clock shows 1:57. What time will it show 99 minutes later? (a) 3:26 (b) 3:36 (c) 4:36 (d) 3:46
- 35.A clock shows 6:05. What time will it show 59 minutes later? (a) 6:54 (b) 7:14 (c) 8:04 (d) 7:04
- 36.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
- 37.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
Answer key
- 7:35
- 5:16
- 348
- 11:28
- 4:30
- 64
- 4:10
- 73.5
- 3:35
- 46
- 86
- 17.5
- 10:57
- 6:03
- 12
- 75
- 204
- 24
- 142
- 67
- 7:31
- 330
- 66.5
- 173
- 68.5
- 74
- 43.5
- 3:15
- 13
- 95
- 146.5
- 11:26
- 137
- 3:36
- 7:04
- 138.5
- 270
- 124
- 159
- 179
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