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 5:38. What time will it show 138 minutes later? (a) 7:56 (b) 8:06 (c) 8:56 (d) 7:46
- 2.How many degrees does the hour hand of a clock turn in 179 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
- 4.A clock shows 11:20. What time will it show 117 minutes later? (a) 1:07 (b) 1:27 (c) 1:17 (d) 2:17
- 5.What is the smaller angle between the hour hand and the minute hand at 12:21? (in degrees) =
- 6.A clock shows 1:00. What time will it show 110 minutes later? (a) 2:40 (b) 3:50 (c) 3:00 (d) 2:50
- 7.A clock shows 2:53. What time will it show 14 minutes later? (a) 3:07 (b) 2:57 (c) 4:07 (d) 3:17
- 8.What is the smaller angle between the hour hand and the minute hand at 6:50? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 169 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 93 minutes? =
- 13.A clock shows 10:08. What time will it show 38 minutes later? (a) 11:46 (b) 10:56 (c) 10:36 (d) 10:46
- 14.How many degrees does the hour hand of a clock turn in 174 minutes? =
- 15.A clock shows 3:04. What time will it show 19 minutes later? (a) 4:23 (b) 3:33 (c) 3:13 (d) 3:23
- 16.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
- 18.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 155 minutes? =
- 20.How many degrees does the hour hand of a clock turn in 33 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 7:49? (in degrees) =
- 23.A clock shows 9:44. What time will it show 82 minutes later? (a) 10:56 (b) 12:06 (c) 11:16 (d) 11:06
- 24.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
- 25.How many degrees does the hour hand of a clock turn in 102 minutes? =
- 26.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 27.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 28.A clock shows 7:01. What time will it show 73 minutes later? (a) 9:14 (b) 8:04 (c) 8:24 (d) 8:14
- 29.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 30.A clock shows 10:26. What time will it show 64 minutes later? (a) 11:30 (b) 11:40 (c) 11:20 (d) 12:30
- 31.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
- 32.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
- 34.A clock shows 1:48. What time will it show 98 minutes later? (a) 3:36 (b) 3:26 (c) 4:26 (d) 3:16
- 35.A clock shows 4:42. What time will it show 131 minutes later? (a) 7:03 (b) 6:53 (c) 7:53 (d) 6:43
- 36.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
- 38.A clock shows 4:53. What time will it show 151 minutes later? (a) 7:34 (b) 7:14 (c) 8:24 (d) 7:24
- 39.A clock shows 4:59. What time will it show 158 minutes later? (a) 7:27 (b) 7:37 (c) 8:37 (d) 7:47
- 40.A clock shows 10:03. What time will it show 92 minutes later? (a) 11:25 (b) 11:45 (c) 11:35 (d) 12:35
Answer key
- 7:56
- 89.5
- 56.5
- 1:17
- 115.5
- 2:50
- 3:07
- 95
- 115.5
- 84.5
- 100
- 46.5
- 10:46
- 87
- 3:23
- 114
- 58
- 102
- 77.5
- 16.5
- 108.5
- 59.5
- 11:06
- 98.5
- 51
- 168
- 282
- 8:14
- 108
- 11:30
- 30.5
- 234
- 113.5
- 3:26
- 6:53
- 126
- 121.5
- 7:24
- 7:37
- 11:35
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