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.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
- 2.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 3.A clock shows 4:49. What time will it show 25 minutes later? (a) 5:24 (b) 6:14 (c) 5:04 (d) 5:14
- 4.A clock shows 6:45. What time will it show 131 minutes later? (a) 8:56 (b) 9:56 (c) 8:46 (d) 9:06
- 5.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
- 6.A clock shows 10:14. What time will it show 138 minutes later? (a) 12:22 (b) 1:32 (c) 12:42 (d) 12:32
- 7.A clock shows 11:23. What time will it show 34 minutes later? (a) 11:57 (b) 12:57 (c) 11:47 (d) 12:07
- 8.How many degrees does the hour hand of a clock turn in 50 minutes? =
- 9.A clock shows 10:16. What time will it show 57 minutes later? (a) 11:03 (b) 11:23 (c) 12:13 (d) 11:13
- 10.What is the smaller angle between the hour hand and the minute hand at 6:50? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
- 12.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 13.A clock shows 4:17. What time will it show 161 minutes later? (a) 7:08 (b) 6:48 (c) 7:58 (d) 6:58
- 14.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 15.A clock shows 8:03. What time will it show 140 minutes later? (a) 10:13 (b) 10:33 (c) 11:23 (d) 10:23
- 16.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
- 24.How many degrees does the hour hand of a clock turn in 74 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 28.How many degrees does the hour hand of a clock turn in 59 minutes? =
- 29.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
- 31.A clock shows 1:37. What time will it show 132 minutes later? (a) 3:39 (b) 4:49 (c) 3:59 (d) 3:49
- 32.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
- 33.How many degrees does the hour hand of a clock turn in 89 minutes? =
- 34.A clock shows 2:16. What time will it show 29 minutes later? (a) 2:55 (b) 3:45 (c) 2:35 (d) 2:45
- 35.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
- 39.A clock shows 12:07. What time will it show 19 minutes later? (a) 12:36 (b) 12:16 (c) 1:26 (d) 12:26
- 40.A clock shows 6:55. What time will it show 61 minutes later? (a) 8:56 (b) 8:06 (c) 7:46 (d) 7:56
Answer key
- 80
- 72
- 5:14
- 8:56
- 85
- 12:32
- 11:57
- 25
- 11:13
- 95
- 90
- 150
- 6:58
- 18
- 10:23
- 64.5
- 234
- 120
- 126.5
- 138
- 26
- 130.5
- 157.5
- 37
- 252
- 167.5
- 132
- 29.5
- 36
- 150
- 3:49
- 154.5
- 44.5
- 2:45
- 1.5
- 142
- 17
- 33.5
- 12:26
- 7:56
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