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 4:41. What time will it show 69 minutes later? (a) 5:50 (b) 6:00 (c) 5:40 (d) 6:50
- 2.How many degrees does the hour hand of a clock turn in 114 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
- 4.A clock shows 1:08. What time will it show 152 minutes later? (a) 3:30 (b) 3:50 (c) 3:40 (d) 4:40
- 5.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
- 7.A clock shows 8:49. What time will it show 10 minutes later? (a) 8:49 (b) 9:09 (c) 8:59 (d) 9:59
- 8.How many degrees does the hour hand of a clock turn in 23 minutes? =
- 9.How many degrees does the hour hand of a clock turn in 18 minutes? =
- 10.A clock shows 7:22. What time will it show 129 minutes later? (a) 9:41 (b) 9:31 (c) 9:21 (d) 10:31
- 11.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
- 13.How many degrees does the hour hand of a clock turn in 153 minutes? =
- 14.How many degrees does the hour hand of a clock turn in 116 minutes? =
- 15.A clock shows 12:48. What time will it show 11 minutes later? (a) 1:09 (b) 1:59 (c) 12:49 (d) 12:59
- 16.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
- 18.How many degrees does the hour hand of a clock turn in 40 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 99 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
- 24.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 25.How many degrees does the hour hand of a clock turn in 112 minutes? =
- 26.A clock shows 4:03. What time will it show 143 minutes later? (a) 6:36 (b) 6:16 (c) 6:26 (d) 7:26
- 27.A clock shows 12:39. What time will it show 49 minutes later? (a) 1:28 (b) 1:38 (c) 2:28 (d) 1:18
- 28.A clock shows 6:21. What time will it show 84 minutes later? (a) 7:35 (b) 8:45 (c) 7:55 (d) 7:45
- 29.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 30.A clock shows 5:51. What time will it show 112 minutes later? (a) 7:43 (b) 7:33 (c) 7:53 (d) 8:43
- 31.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
- 33.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 34.How many degrees does the hour hand of a clock turn in 81 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
- 36.A clock shows 2:55. What time will it show 59 minutes later? (a) 3:54 (b) 4:54 (c) 4:04 (d) 3:44
- 37.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
- 39.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
Answer key
- 5:50
- 57
- 52
- 3:40
- 147.5
- 90
- 8:59
- 11.5
- 9
- 9:31
- 354
- 50
- 76.5
- 58
- 12:59
- 160
- 103.5
- 20
- 49.5
- 157.5
- 174
- 127.5
- 99.5
- 132
- 56
- 6:26
- 1:28
- 7:45
- 150
- 7:43
- 216
- 106
- 306
- 40.5
- 108
- 3:54
- 101.5
- 31.5
- 342
- 117
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