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 12:06. What time will it show 132 minutes later? (a) 2:18 (b) 3:18 (c) 2:28 (d) 2:08
- 2.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
- 3.A clock shows 3:11. What time will it show 100 minutes later? (a) 5:51 (b) 4:41 (c) 5:01 (d) 4:51
- 4.A clock shows 12:25. What time will it show 18 minutes later? (a) 12:43 (b) 1:43 (c) 12:33 (d) 12:53
- 5.How many degrees does the hour hand of a clock turn in 55 minutes? =
- 6.A clock shows 9:16. What time will it show 92 minutes later? (a) 10:58 (b) 10:48 (c) 10:38 (d) 11:48
- 7.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
- 11.A clock shows 5:01. What time will it show 169 minutes later? (a) 8:00 (b) 7:50 (c) 8:50 (d) 7:40
- 12.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
- 13.A clock shows 6:22. What time will it show 61 minutes later? (a) 7:13 (b) 8:23 (c) 7:23 (d) 7:33
- 14.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 29 minutes? =
- 16.How many degrees does the hour hand of a clock turn in 158 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
- 20.A clock shows 6:53. What time will it show 16 minutes later? (a) 7:19 (b) 7:09 (c) 8:09 (d) 6:59
- 21.What is the smaller angle between the hour hand and the minute hand at 9:51? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 4:39? (in degrees) =
- 26.A clock shows 8:47. What time will it show 140 minutes later? (a) 11:17 (b) 10:57 (c) 11:07 (d) 12:07
- 27.How many degrees does the hour hand of a clock turn in 41 minutes? =
- 28.A clock shows 8:57. What time will it show 166 minutes later? (a) 11:43 (b) 12:43 (c) 11:53 (d) 11:33
- 29.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
- 30.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
- 34.A clock shows 4:00. What time will it show 164 minutes later? (a) 7:44 (b) 6:44 (c) 6:34 (d) 6:54
- 35.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 36.A clock shows 6:33. What time will it show 119 minutes later? (a) 9:32 (b) 8:32 (c) 8:22 (d) 8:42
- 37.A clock shows 10:23. What time will it show 124 minutes later? (a) 12:37 (b) 12:27 (c) 12:17 (d) 1:27
- 38.A clock shows 6:52. What time will it show 78 minutes later? (a) 9:10 (b) 8:20 (c) 8:00 (d) 8:10
- 39.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 40.How many degrees does the minute hand of a clock turn in 21 minutes? =
Answer key
- 2:18
- 83
- 4:51
- 12:43
- 27.5
- 10:48
- 72
- 115
- 78
- 76
- 7:50
- 52.5
- 7:23
- 59
- 14.5
- 79
- 3.5
- 168
- 123.5
- 7:09
- 10.5
- 4
- 62
- 19.5
- 94.5
- 11:07
- 20.5
- 11:43
- 130
- 63
- 24.5
- 55.5
- 177
- 6:44
- 270
- 8:32
- 12:27
- 8:10
- 204
- 126
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