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 10:53? (in degrees) =
- 2.A clock shows 9:19. What time will it show 50 minutes later? (a) 10:19 (b) 11:09 (c) 10:09 (d) 9:59
- 3.How many degrees does the hour hand of a clock turn in 82 minutes? =
- 4.A clock shows 10:44. What time will it show 162 minutes later? (a) 1:26 (b) 1:16 (c) 1:36 (d) 2:26
- 5.How many degrees does the hour hand of a clock turn in 71 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
- 7.A clock shows 7:13. What time will it show 24 minutes later? (a) 7:47 (b) 7:37 (c) 7:27 (d) 8:37
- 8.A clock shows 3:57. What time will it show 49 minutes later? (a) 4:36 (b) 4:46 (c) 5:46 (d) 4:56
- 9.How many degrees does the hour hand of a clock turn in 169 minutes? =
- 10.A clock shows 9:06. What time will it show 100 minutes later? (a) 10:56 (b) 11:46 (c) 10:46 (d) 10:36
- 11.A clock shows 6:10. What time will it show 137 minutes later? (a) 8:17 (b) 8:27 (c) 9:27 (d) 8:37
- 12.A clock shows 11:04. What time will it show 158 minutes later? (a) 1:32 (b) 2:42 (c) 1:42 (d) 1:52
- 13.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 70 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 19.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
- 21.How many degrees does the hour hand of a clock turn in 75 minutes? =
- 22.A clock shows 9:03. What time will it show 57 minutes later? (a) 11:00 (b) 10:10 (c) 9:50 (d) 10:00
- 23.How many degrees does the hour hand of a clock turn in 178 minutes? =
- 24.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 25.A clock shows 2:50. What time will it show 63 minutes later? (a) 3:43 (b) 4:53 (c) 3:53 (d) 4:03
- 26.A clock shows 9:50. What time will it show 169 minutes later? (a) 1:39 (b) 12:29 (c) 12:49 (d) 12:39
- 27.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
- 38.A clock shows 4:45. What time will it show 29 minutes later? (a) 5:24 (b) 6:14 (c) 5:04 (d) 5:14
- 39.A clock shows 1:48. What time will it show 109 minutes later? (a) 3:47 (b) 3:27 (c) 4:37 (d) 3:37
- 40.A clock shows 6:01. What time will it show 117 minutes later? (a) 8:58 (b) 7:58 (c) 8:08 (d) 7:48
Answer key
- 8.5
- 10:09
- 41
- 1:26
- 35.5
- 163.5
- 7:37
- 4:46
- 84.5
- 10:46
- 8:27
- 1:42
- 342
- 27.5
- 35
- 1.5
- 78
- 12
- 138
- 165.5
- 37.5
- 10:00
- 89
- 63
- 3:53
- 12:39
- 99.5
- 81.5
- 90
- 2.5
- 167.5
- 116.5
- 25
- 54
- 222
- 74.5
- 101.5
- 5:14
- 3:37
- 7:58
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