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 8:34? (in degrees) =
- 2.A clock shows 8:08. What time will it show 50 minutes later? (a) 9:08 (b) 8:48 (c) 9:58 (d) 8:58
- 3.A clock shows 10:00. What time will it show 15 minutes later? (a) 10:25 (b) 10:15 (c) 10:05 (d) 11:15
- 4.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 5.A clock shows 5:24. What time will it show 88 minutes later? (a) 6:52 (b) 6:42 (c) 7:02 (d) 7:52
- 6.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
- 8.How many degrees does the hour hand of a clock turn in 149 minutes? =
- 9.A clock shows 1:32. What time will it show 92 minutes later? (a) 3:14 (b) 4:04 (c) 3:04 (d) 2:54
- 10.A clock shows 11:51. What time will it show 60 minutes later? (a) 12:41 (b) 12:51 (c) 1:51 (d) 1:01
- 11.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
- 13.How many degrees does the hour hand of a clock turn in 78 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 65 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
- 18.A clock shows 6:00. What time will it show 29 minutes later? (a) 6:19 (b) 7:29 (c) 6:39 (d) 6:29
- 19.How many degrees does the hour hand of a clock turn in 154 minutes? =
- 20.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 21.A clock shows 2:06. What time will it show 127 minutes later? (a) 4:23 (b) 5:13 (c) 4:13 (d) 4:03
- 22.A clock shows 2:52. What time will it show 21 minutes later? (a) 4:13 (b) 3:13 (c) 3:03 (d) 3:23
- 23.A clock shows 3:53. What time will it show 12 minutes later? (a) 4:15 (b) 3:55 (c) 5:05 (d) 4:05
- 24.How many degrees does the hour hand of a clock turn in 144 minutes? =
- 25.A clock shows 3:40. What time will it show 73 minutes later? (a) 5:53 (b) 4:53 (c) 4:43 (d) 5:03
- 26.How many degrees does the hour hand of a clock turn in 47 minutes? =
- 27.How many degrees does the hour hand of a clock turn in 114 minutes? =
- 28.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 6:34? (in degrees) =
- 31.A clock shows 7:19. What time will it show 98 minutes later? (a) 9:57 (b) 8:47 (c) 9:07 (d) 8:57
- 32.A clock shows 8:25. What time will it show 80 minutes later? (a) 10:45 (b) 9:45 (c) 9:35 (d) 9:55
- 33.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
- 34.How many degrees does the hour hand of a clock turn in 120 minutes? =
- 35.A clock shows 1:40. What time will it show 117 minutes later? (a) 3:47 (b) 3:27 (c) 4:37 (d) 3:37
- 36.A clock shows 8:31. What time will it show 89 minutes later? (a) 11:00 (b) 10:00 (c) 9:50 (d) 10:10
- 37.A clock shows 2:49. What time will it show 119 minutes later? (a) 5:48 (b) 4:38 (c) 4:48 (d) 4:58
- 38.A clock shows 8:22. What time will it show 81 minutes later? (a) 9:43 (b) 9:33 (c) 10:43 (d) 9:53
- 39.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
Answer key
- 53
- 8:58
- 10:15
- 30
- 6:52
- 126
- 119.5
- 74.5
- 3:04
- 12:51
- 52.5
- 98.5
- 39
- 25.5
- 32.5
- 33
- 20
- 6:29
- 77
- 48
- 4:13
- 3:13
- 4:05
- 72
- 4:53
- 23.5
- 57
- 342
- 33.5
- 7
- 8:57
- 9:45
- 176
- 60
- 3:37
- 10:00
- 4:48
- 9:43
- 169
- 101.5
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