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 10:29? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
- 3.A clock shows 5:31. What time will it show 90 minutes later? (a) 7:01 (b) 6:51 (c) 8:01 (d) 7:11
- 4.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 7:51? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
- 11.A clock shows 2:49. What time will it show 12 minutes later? (a) 3:11 (b) 4:01 (c) 2:51 (d) 3:01
- 12.A clock shows 3:57. What time will it show 124 minutes later? (a) 5:51 (b) 7:01 (c) 6:01 (d) 6:11
- 13.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
- 14.A clock shows 6:27. What time will it show 44 minutes later? (a) 7:21 (b) 8:11 (c) 7:11 (d) 7:01
- 15.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
- 18.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 19.A clock shows 6:38. What time will it show 32 minutes later? (a) 8:10 (b) 7:20 (c) 7:10 (d) 7:00
- 20.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
- 24.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 28.A clock shows 2:09. What time will it show 19 minutes later? (a) 2:38 (b) 3:28 (c) 2:18 (d) 2:28
- 29.A clock shows 4:19. What time will it show 158 minutes later? (a) 7:57 (b) 6:57 (c) 7:07 (d) 6:47
- 30.A clock shows 7:54. What time will it show 106 minutes later? (a) 10:40 (b) 9:40 (c) 9:50 (d) 9:30
- 31.A clock shows 12:13. What time will it show 76 minutes later? (a) 2:29 (b) 1:19 (c) 1:39 (d) 1:29
- 32.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 12:27? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 150 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
Answer key
- 140.5
- 140.5
- 7:01
- 12
- 166.5
- 137.5
- 42
- 70.5
- 312
- 104.5
- 3:01
- 6:01
- 144.5
- 7:11
- 234
- 67.5
- 38
- 108
- 7:10
- 152.5
- 348
- 113.5
- 147
- 252
- 36
- 37.5
- 204
- 2:28
- 6:57
- 9:40
- 1:29
- 282
- 148.5
- 330
- 3
- 124
- 133.5
- 75
- 145
- 83
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