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 12:56. What time will it show 20 minutes later? (a) 2:16 (b) 1:06 (c) 1:16 (d) 1:26
- 2.How many degrees does the hour hand of a clock turn in 69 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 175 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 7.A clock shows 3:45. What time will it show 29 minutes later? (a) 4:14 (b) 5:14 (c) 4:24 (d) 4:04
- 8.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
- 13.A clock shows 5:03. What time will it show 99 minutes later? (a) 6:42 (b) 6:52 (c) 7:42 (d) 6:32
- 14.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 11:31? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 20.How many degrees does the hour hand of a clock turn in 125 minutes? =
- 21.A clock shows 2:09. What time will it show 53 minutes later? (a) 4:02 (b) 2:52 (c) 3:02 (d) 3:12
- 22.A clock shows 1:57. What time will it show 25 minutes later? (a) 3:22 (b) 2:32 (c) 2:12 (d) 2:22
- 23.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
- 26.A clock shows 4:08. What time will it show 30 minutes later? (a) 5:38 (b) 4:38 (c) 4:48 (d) 4:28
- 27.A clock shows 8:02. What time will it show 60 minutes later? (a) 8:52 (b) 10:02 (c) 9:12 (d) 9:02
- 28.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
- 30.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
- 32.A clock shows 2:54. What time will it show 36 minutes later? (a) 4:30 (b) 3:40 (c) 3:20 (d) 3:30
- 33.A clock shows 12:01. What time will it show 94 minutes later? (a) 2:35 (b) 1:35 (c) 1:25 (d) 1:45
- 34.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
- 35.A clock shows 2:34. What time will it show 141 minutes later? (a) 4:55 (b) 4:45 (c) 5:55 (d) 5:05
- 36.A clock shows 2:32. What time will it show 53 minutes later? (a) 3:15 (b) 4:25 (c) 3:35 (d) 3:25
- 37.A clock shows 7:25. What time will it show 162 minutes later? (a) 10:17 (b) 10:07 (c) 11:07 (d) 9:57
- 38.A clock shows 11:05. What time will it show 60 minutes later? (a) 1:05 (b) 11:55 (c) 12:05 (d) 12:15
- 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 4:24? (in degrees) =
Answer key
- 1:16
- 34.5
- 128
- 169
- 87.5
- 282
- 4:14
- 109
- 198
- 116
- 172
- 59.5
- 6:42
- 102
- 159.5
- 156.5
- 175
- 155.5
- 42
- 62.5
- 3:02
- 2:22
- 306
- 2.5
- 16
- 4:38
- 9:02
- 210
- 114.5
- 120
- 173.5
- 3:30
- 1:35
- 88
- 4:55
- 3:25
- 10:07
- 12:05
- 342
- 12
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