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 7:19. What time will it show 50 minutes later? (a) 9:09 (b) 8:09 (c) 8:19 (d) 7:59
- 2.A clock shows 8:49. What time will it show 145 minutes later? (a) 11:14 (b) 12:14 (c) 11:04 (d) 11:24
- 3.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
- 5.A clock shows 11:29. What time will it show 154 minutes later? (a) 2:13 (b) 1:53 (c) 2:03 (d) 3:03
- 6.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
- 7.A clock shows 1:43. What time will it show 98 minutes later? (a) 3:31 (b) 3:11 (c) 3:21 (d) 4:21
- 8.How many degrees does the hour hand of a clock turn in 20 minutes? =
- 9.How many degrees does the hour hand of a clock turn in 141 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 35 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 30 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 4:22? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 176 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 88 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 65 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 23.A clock shows 3:49. What time will it show 122 minutes later? (a) 6:51 (b) 6:01 (c) 5:41 (d) 5:51
- 24.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
- 26.A clock shows 11:14. What time will it show 162 minutes later? (a) 2:56 (b) 1:56 (c) 2:06 (d) 1:46
- 27.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 28.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 29.A clock shows 11:23. What time will it show 128 minutes later? (a) 1:41 (b) 1:31 (c) 1:21 (d) 2:31
- 30.A clock shows 8:42. What time will it show 46 minutes later? (a) 9:28 (b) 9:38 (c) 9:18 (d) 10:28
- 31.A clock shows 2:27. What time will it show 37 minutes later? (a) 2:54 (b) 3:04 (c) 4:04 (d) 3:14
- 32.What is the smaller angle between the hour hand and the minute hand at 5:35? (in degrees) =
- 33.A clock shows 11:53. What time will it show 143 minutes later? (a) 2:26 (b) 2:06 (c) 2:16 (d) 3:16
- 34.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
- 36.A clock shows 7:17. What time will it show 32 minutes later? (a) 7:59 (b) 7:49 (c) 7:39 (d) 8:49
- 37.A clock shows 12:46. What time will it show 34 minutes later? (a) 1:30 (b) 1:10 (c) 1:20 (d) 2:20
- 38.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 39.A clock shows 5:38. What time will it show 35 minutes later? (a) 6:23 (b) 6:03 (c) 6:13 (d) 7:13
- 40.A clock shows 6:05. What time will it show 51 minutes later? (a) 7:56 (b) 6:46 (c) 7:06 (d) 6:56
Answer key
- 8:09
- 11:14
- 6
- 79
- 2:03
- 135
- 3:21
- 10
- 70.5
- 2
- 17.5
- 15
- 1
- 88
- 9.5
- 164.5
- 25.5
- 2.5
- 140.5
- 44
- 32.5
- 27
- 5:51
- 36.5
- 109
- 1:56
- 294
- 65
- 1:31
- 9:28
- 3:04
- 42.5
- 2:16
- 17
- 47
- 7:49
- 1:20
- 72
- 6:13
- 6:56
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