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 4:13. What time will it show 136 minutes later? (a) 6:29 (b) 6:19 (c) 6:39 (d) 7:29
- 2.A clock shows 4:21. What time will it show 19 minutes later? (a) 4:30 (b) 5:40 (c) 4:50 (d) 4:40
- 3.A clock shows 8:59. What time will it show 154 minutes later? (a) 12:33 (b) 11:43 (c) 11:33 (d) 11:23
- 4.A clock shows 8:32. What time will it show 128 minutes later? (a) 10:40 (b) 10:30 (c) 10:50 (d) 11:40
- 5.How many degrees does the hour hand of a clock turn in 34 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 9.How many degrees does the hour hand of a clock turn in 28 minutes? =
- 10.How many degrees does the hour hand of a clock turn in 112 minutes? =
- 11.How many degrees does the hour hand of a clock turn in 83 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
- 14.A clock shows 7:18. What time will it show 160 minutes later? (a) 9:48 (b) 9:58 (c) 10:08 (d) 10:58
- 15.How many degrees does the hour hand of a clock turn in 91 minutes? =
- 16.A clock shows 3:28. What time will it show 134 minutes later? (a) 5:42 (b) 6:42 (c) 5:32 (d) 5:52
- 17.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
- 18.A clock shows 5:01. What time will it show 87 minutes later? (a) 6:18 (b) 6:38 (c) 6:28 (d) 7:28
- 19.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
- 21.A clock shows 8:42. What time will it show 106 minutes later? (a) 10:18 (b) 11:28 (c) 10:28 (d) 10:38
- 22.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
- 23.A clock shows 12:27. What time will it show 28 minutes later? (a) 1:05 (b) 12:45 (c) 12:55 (d) 1:55
- 24.A clock shows 4:06. What time will it show 36 minutes later? (a) 4:52 (b) 4:32 (c) 5:42 (d) 4:42
- 25.A clock shows 5:04. What time will it show 100 minutes later? (a) 6:54 (b) 6:44 (c) 6:34 (d) 7:44
- 26.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
- 27.A clock shows 3:48. What time will it show 149 minutes later? (a) 6:07 (b) 6:17 (c) 6:27 (d) 7:17
- 28.How many degrees does the hour hand of a clock turn in 173 minutes? =
- 29.A clock shows 7:04. What time will it show 86 minutes later? (a) 9:30 (b) 8:40 (c) 8:30 (d) 8:20
- 30.A clock shows 9:27. What time will it show 24 minutes later? (a) 10:51 (b) 9:41 (c) 10:01 (d) 9:51
- 31.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 12:21? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 35.A clock shows 11:48. What time will it show 92 minutes later? (a) 1:30 (b) 2:20 (c) 1:20 (d) 1:10
- 36.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
- 37.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 38.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 39.How many degrees does the hour hand of a clock turn in 96 minutes? =
- 40.A clock shows 4:39. What time will it show 81 minutes later? (a) 7:00 (b) 6:00 (c) 5:50 (d) 6:10
Answer key
- 6:29
- 4:40
- 11:33
- 10:40
- 17
- 16
- 11.5
- 174
- 14
- 56
- 41.5
- 18
- 132
- 9:58
- 45.5
- 5:42
- 17
- 6:28
- 27
- 163.5
- 10:28
- 36.5
- 12:55
- 4:42
- 6:44
- 66.5
- 6:17
- 86.5
- 8:30
- 9:51
- 173
- 65.5
- 115.5
- 120
- 1:20
- 31
- 276
- 168
- 48
- 6:00
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