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 12:38. What time will it show 50 minutes later? (a) 1:18 (b) 1:38 (c) 2:28 (d) 1:28
- 2.A clock shows 2:04. What time will it show 23 minutes later? (a) 2:17 (b) 3:27 (c) 2:27 (d) 2:37
- 3.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
- 6.A clock shows 12:41. What time will it show 68 minutes later? (a) 2:49 (b) 1:39 (c) 1:49 (d) 1:59
- 7.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 9.A clock shows 5:21. What time will it show 170 minutes later? (a) 8:01 (b) 8:11 (c) 8:21 (d) 9:11
- 10.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
- 11.A clock shows 3:34. What time will it show 93 minutes later? (a) 5:17 (b) 4:57 (c) 5:07 (d) 6:07
- 12.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 14.How many degrees does the hour hand of a clock turn in 100 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 1:32? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 20.A clock shows 6:48. What time will it show 60 minutes later? (a) 7:48 (b) 7:38 (c) 8:48 (d) 7:58
- 21.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
- 24.How many degrees does the hour hand of a clock turn in 36 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
- 26.A clock shows 3:11. What time will it show 150 minutes later? (a) 5:31 (b) 5:51 (c) 6:41 (d) 5:41
- 27.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
- 31.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 32.A clock shows 8:13. What time will it show 122 minutes later? (a) 10:25 (b) 11:15 (c) 10:15 (d) 10:05
- 33.A clock shows 9:32. What time will it show 50 minutes later? (a) 11:22 (b) 10:32 (c) 10:12 (d) 10:22
- 34.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
- 36.A clock shows 6:33. What time will it show 166 minutes later? (a) 9:29 (b) 9:09 (c) 10:19 (d) 9:19
- 37.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 52 minutes? =
- 39.A clock shows 6:40. What time will it show 168 minutes later? (a) 9:18 (b) 10:28 (c) 9:38 (d) 9:28
- 40.A clock shows 4:56. What time will it show 164 minutes later? (a) 7:50 (b) 8:40 (c) 7:40 (d) 7:30
Answer key
- 1:28
- 2:27
- 44
- 56
- 41
- 1:49
- 174.5
- 330
- 8:11
- 57.5
- 5:07
- 52
- 78
- 50
- 174
- 96.5
- 5.5
- 146
- 264
- 7:48
- 2.5
- 138
- 46.5
- 18
- 64.5
- 5:41
- 246
- 75
- 11
- 67
- 270
- 10:15
- 10:22
- 198
- 87
- 9:19
- 155.5
- 26
- 9:28
- 7:40
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