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.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
- 6.A clock shows 11:28. What time will it show 143 minutes later? (a) 2:01 (b) 2:51 (c) 1:51 (d) 1:41
- 7.How many degrees does the hour hand of a clock turn in 121 minutes? =
- 8.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 9.A clock shows 3:03. What time will it show 93 minutes later? (a) 4:36 (b) 4:26 (c) 5:36 (d) 4:46
- 10.A clock shows 3:28. What time will it show 88 minutes later? (a) 5:06 (b) 4:56 (c) 4:46 (d) 5:56
- 11.How many degrees does the hour hand of a clock turn in 29 minutes? =
- 12.A clock shows 11:04. What time will it show 10 minutes later? (a) 11:24 (b) 11:04 (c) 11:14 (d) 12:14
- 13.A clock shows 1:23. What time will it show 104 minutes later? (a) 2:57 (b) 3:07 (c) 3:17 (d) 4:07
- 14.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
- 15.A clock shows 12:05. What time will it show 34 minutes later? (a) 12:49 (b) 12:39 (c) 12:29 (d) 1:39
- 16.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 42 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 14 minutes? =
- 20.A clock shows 1:20. What time will it show 108 minutes later? (a) 3:08 (b) 3:18 (c) 2:58 (d) 4:08
- 21.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 24.How many degrees does the hour hand of a clock turn in 150 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 26.A clock shows 8:21. What time will it show 30 minutes later? (a) 8:51 (b) 8:41 (c) 9:01 (d) 9:51
- 27.A clock shows 2:53. What time will it show 31 minutes later? (a) 4:24 (b) 3:14 (c) 3:24 (d) 3:34
- 28.A clock shows 7:55. What time will it show 101 minutes later? (a) 9:46 (b) 10:36 (c) 9:26 (d) 9:36
- 29.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
- 31.A clock shows 5:13. What time will it show 112 minutes later? (a) 8:05 (b) 7:05 (c) 6:55 (d) 7:15
- 32.A clock shows 4:59. What time will it show 98 minutes later? (a) 6:37 (b) 7:37 (c) 6:47 (d) 6:27
- 33.A clock shows 6:17. What time will it show 45 minutes later? (a) 6:52 (b) 7:12 (c) 7:02 (d) 8:02
- 34.A clock shows 2:09. What time will it show 86 minutes later? (a) 3:45 (b) 3:25 (c) 4:35 (d) 3:35
- 35.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
- 37.A clock shows 9:41. What time will it show 157 minutes later? (a) 12:28 (b) 12:08 (c) 1:18 (d) 12:18
- 38.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 40.A clock shows 2:41. What time will it show 36 minutes later? (a) 4:17 (b) 3:07 (c) 3:27 (d) 3:17
Answer key
- 60
- 9
- 93
- 18
- 2
- 1:51
- 60.5
- 306
- 4:36
- 4:56
- 14.5
- 11:14
- 3:07
- 2.5
- 12:39
- 47.5
- 21
- 216
- 7
- 3:08
- 7.5
- 152.5
- 312
- 75
- 192
- 8:51
- 3:24
- 9:36
- 162
- 118
- 7:05
- 6:37
- 7:02
- 3:35
- 30.5
- 147
- 12:18
- 78
- 198
- 3:17
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