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 9:46. What time will it show 37 minutes later? (a) 10:33 (b) 10:13 (c) 10:23 (d) 11:23
- 2.A clock shows 2:30. What time will it show 33 minutes later? (a) 2:53 (b) 3:13 (c) 3:03 (d) 4:03
- 3.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
- 6.A clock shows 9:48. What time will it show 115 minutes later? (a) 11:43 (b) 12:43 (c) 11:33 (d) 11:53
- 7.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 8.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 9.A clock shows 6:51. What time will it show 130 minutes later? (a) 9:11 (b) 10:01 (c) 9:01 (d) 8:51
- 10.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
- 12.A clock shows 9:07. What time will it show 107 minutes later? (a) 10:44 (b) 10:54 (c) 11:04 (d) 11:54
- 13.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
- 15.A clock shows 2:27. What time will it show 117 minutes later? (a) 4:34 (b) 5:24 (c) 4:24 (d) 4:14
- 16.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 17.How many degrees does the hour hand of a clock turn in 102 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 58 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
- 21.How many degrees does the hour hand of a clock turn in 78 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
- 24.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 25.A clock shows 9:32. What time will it show 41 minutes later? (a) 11:13 (b) 10:23 (c) 10:03 (d) 10:13
- 26.A clock shows 2:55. What time will it show 148 minutes later? (a) 5:13 (b) 5:23 (c) 6:23 (d) 5:33
- 27.A clock shows 9:16. What time will it show 104 minutes later? (a) 10:50 (b) 11:10 (c) 12:00 (d) 11:00
- 28.A clock shows 2:49. What time will it show 146 minutes later? (a) 5:25 (b) 6:15 (c) 5:05 (d) 5:15
- 29.A clock shows 7:50. What time will it show 33 minutes later? (a) 8:33 (b) 8:23 (c) 9:23 (d) 8:13
- 30.A clock shows 9:44. What time will it show 126 minutes later? (a) 11:40 (b) 11:50 (c) 12:50 (d) 12:00
- 31.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
- 32.A clock shows 5:52. What time will it show 78 minutes later? (a) 7:10 (b) 7:00 (c) 7:20 (d) 8:10
- 33.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 34.How many degrees does the hour hand of a clock turn in 91 minutes? =
- 35.A clock shows 5:12. What time will it show 163 minutes later? (a) 8:05 (b) 7:45 (c) 8:55 (d) 7:55
- 36.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
- 37.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
- 39.How many degrees does the hour hand of a clock turn in 97 minutes? =
- 40.A clock shows 2:20. What time will it show 17 minutes later? (a) 3:37 (b) 2:27 (c) 2:37 (d) 2:47
Answer key
- 10:23
- 3:03
- 324
- 169.5
- 97
- 11:43
- 96
- 342
- 9:01
- 127
- 127.5
- 10:54
- 86
- 12.5
- 4:24
- 84
- 51
- 222
- 29
- 58
- 39
- 25.5
- 47.5
- 270
- 10:13
- 5:23
- 11:00
- 5:15
- 8:23
- 11:50
- 102.5
- 7:10
- 204
- 45.5
- 7:55
- 49
- 300
- 144
- 48.5
- 2:37
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