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 12:21. What time will it show 38 minutes later? (a) 1:09 (b) 12:49 (c) 1:59 (d) 12:59
- 2.A clock shows 4:38. What time will it show 152 minutes later? (a) 8:10 (b) 7:00 (c) 7:10 (d) 7:20
- 3.A clock shows 6:09. What time will it show 170 minutes later? (a) 9:09 (b) 8:59 (c) 8:49 (d) 9:59
- 4.A clock shows 2:09. What time will it show 155 minutes later? (a) 4:44 (b) 5:44 (c) 4:34 (d) 4:54
- 5.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
- 7.A clock shows 7:24. What time will it show 55 minutes later? (a) 9:19 (b) 8:09 (c) 8:19 (d) 8:29
- 8.What is the smaller angle between the hour hand and the minute hand at 7:28? (in degrees) =
- 9.A clock shows 12:09. What time will it show 45 minutes later? (a) 12:54 (b) 12:44 (c) 1:04 (d) 1:54
- 10.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
- 11.A clock shows 9:04. What time will it show 20 minutes later? (a) 9:34 (b) 9:14 (c) 10:24 (d) 9:24
- 12.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
- 13.A clock shows 4:14. What time will it show 37 minutes later? (a) 5:51 (b) 4:41 (c) 4:51 (d) 5:01
- 14.A clock shows 6:34. What time will it show 115 minutes later? (a) 9:29 (b) 8:19 (c) 8:29 (d) 8:39
- 15.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 17.A clock shows 6:58. What time will it show 45 minutes later? (a) 7:53 (b) 8:43 (c) 7:33 (d) 7:43
- 18.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
- 22.A clock shows 12:33. What time will it show 35 minutes later? (a) 1:08 (b) 2:08 (c) 12:58 (d) 1:18
- 23.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
- 24.A clock shows 11:29. What time will it show 123 minutes later? (a) 1:42 (b) 1:22 (c) 2:32 (d) 1:32
- 25.How many degrees does the hour hand of a clock turn in 71 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
- 28.A clock shows 4:03. What time will it show 53 minutes later? (a) 5:56 (b) 4:46 (c) 5:06 (d) 4:56
- 29.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
- 32.How many degrees does the hour hand of a clock turn in 178 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
- 34.How many degrees does the hour hand of a clock turn in 102 minutes? =
- 35.A clock shows 9:22. What time will it show 125 minutes later? (a) 11:17 (b) 12:27 (c) 11:37 (d) 11:27
- 36.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
- 37.How many degrees does the hour hand of a clock turn in 14 minutes? =
- 38.A clock shows 8:04. What time will it show 155 minutes later? (a) 10:29 (b) 10:39 (c) 11:39 (d) 10:49
- 39.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
- 40.A clock shows 7:08. What time will it show 80 minutes later? (a) 8:18 (b) 9:28 (c) 8:28 (d) 8:38
Answer key
- 12:59
- 7:10
- 8:59
- 4:44
- 258
- 24.5
- 8:19
- 56
- 12:54
- 88.5
- 9:24
- 136
- 4:51
- 8:29
- 82
- 318
- 7:43
- 97
- 54
- 27.5
- 65.5
- 1:08
- 153
- 1:32
- 35.5
- 14
- 51
- 4:56
- 42
- 99
- 152
- 89
- 149.5
- 51
- 11:27
- 19.5
- 7
- 10:39
- 18.5
- 8:28
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