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 11:29. What time will it show 59 minutes later? (a) 12:38 (b) 12:18 (c) 1:28 (d) 12:28
- 2.How many degrees does the hour hand of a clock turn in 18 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
- 4.A clock shows 8:13. What time will it show 33 minutes later? (a) 8:56 (b) 8:36 (c) 8:46 (d) 9:46
- 5.A clock shows 5:53. What time will it show 134 minutes later? (a) 7:57 (b) 8:07 (c) 9:07 (d) 8:17
- 6.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
- 7.A clock shows 11:46. What time will it show 18 minutes later? (a) 12:14 (b) 1:04 (c) 12:04 (d) 11:54
- 8.A clock shows 5:17. What time will it show 168 minutes later? (a) 8:15 (b) 7:55 (c) 9:05 (d) 8:05
- 9.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 10.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 115 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 21 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 20.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
- 23.A clock shows 10:23. What time will it show 152 minutes later? (a) 1:55 (b) 1:05 (c) 12:55 (d) 12:45
- 24.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
- 25.A clock shows 10:49. What time will it show 108 minutes later? (a) 12:27 (b) 12:47 (c) 1:37 (d) 12:37
- 26.A clock shows 8:53. What time will it show 58 minutes later? (a) 9:41 (b) 10:51 (c) 9:51 (d) 10:01
- 27.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
- 28.A clock shows 9:07. What time will it show 17 minutes later? (a) 9:14 (b) 10:24 (c) 9:24 (d) 9:34
- 29.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
- 32.How many degrees does the hour hand of a clock turn in 87 minutes? =
- 33.A clock shows 7:53. What time will it show 78 minutes later? (a) 10:11 (b) 9:01 (c) 9:11 (d) 9:21
- 34.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 4:22? (in degrees) =
- 36.A clock shows 10:16. What time will it show 154 minutes later? (a) 1:50 (b) 12:40 (c) 1:00 (d) 12:50
- 37.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 40.How many degrees does the minute hand of a clock turn in 43 minutes? =
Answer key
- 12:28
- 9
- 135.5
- 8:46
- 8:07
- 152
- 12:04
- 8:05
- 180
- 342
- 89.5
- 145
- 177.5
- 57.5
- 18
- 148
- 10.5
- 58
- 318
- 24
- 12
- 70
- 12:55
- 118.5
- 12:37
- 9:51
- 116
- 9:24
- 57.5
- 156.5
- 82
- 43.5
- 9:11
- 121.5
- 1
- 12:50
- 41.5
- 30
- 84
- 258
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