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 8:00? (in degrees) =
- 2.A clock shows 7:49. What time will it show 154 minutes later? (a) 10:13 (b) 10:33 (c) 11:23 (d) 10:23
- 3.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 8.A clock shows 2:29. What time will it show 91 minutes later? (a) 4:10 (b) 5:00 (c) 4:00 (d) 3:50
- 9.How many degrees does the hour hand of a clock turn in 18 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
- 11.A clock shows 5:27. What time will it show 56 minutes later? (a) 6:33 (b) 7:23 (c) 6:23 (d) 6:13
- 12.A clock shows 8:00. What time will it show 140 minutes later? (a) 10:30 (b) 10:10 (c) 11:20 (d) 10:20
- 13.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 14.A clock shows 1:31. What time will it show 70 minutes later? (a) 2:31 (b) 2:51 (c) 2:41 (d) 3:41
- 15.A clock shows 8:51. What time will it show 16 minutes later? (a) 9:17 (b) 10:07 (c) 8:57 (d) 9:07
- 16.How many degrees does the hour hand of a clock turn in 97 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 1:32? (in degrees) =
- 20.A clock shows 2:05. What time will it show 35 minutes later? (a) 2:40 (b) 2:30 (c) 2:50 (d) 3:40
- 21.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
- 23.A clock shows 6:24. What time will it show 33 minutes later? (a) 6:57 (b) 7:07 (c) 6:47 (d) 7:57
- 24.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
- 25.A clock shows 11:58. What time will it show 99 minutes later? (a) 2:37 (b) 1:27 (c) 1:37 (d) 1:47
- 26.A clock shows 2:26. What time will it show 98 minutes later? (a) 4:14 (b) 5:04 (c) 3:54 (d) 4:04
- 27.A clock shows 8:00. What time will it show 51 minutes later? (a) 9:51 (b) 9:01 (c) 8:51 (d) 8:41
- 28.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
- 29.A clock shows 3:52. What time will it show 61 minutes later? (a) 5:53 (b) 4:53 (c) 5:03 (d) 4:43
- 30.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
- 32.A clock shows 9:52. What time will it show 75 minutes later? (a) 11:17 (b) 12:07 (c) 10:57 (d) 11:07
- 33.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
- 35.A clock shows 3:26. What time will it show 147 minutes later? (a) 5:43 (b) 6:03 (c) 6:53 (d) 5:53
- 36.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 39.A clock shows 2:33. What time will it show 15 minutes later? (a) 2:38 (b) 3:48 (c) 2:48 (d) 2:58
- 40.A clock shows 3:25. What time will it show 56 minutes later? (a) 4:31 (b) 4:11 (c) 4:21 (d) 5:21
Answer key
- 120
- 10:23
- 99.5
- 72
- 63.5
- 121
- 312
- 4:00
- 9
- 125.5
- 6:23
- 10:20
- 174
- 2:41
- 9:07
- 48.5
- 4.5
- 164.5
- 146
- 2:40
- 61.5
- 7.5
- 6:57
- 122.5
- 1:37
- 4:04
- 8:51
- 34
- 4:53
- 18.5
- 152.5
- 11:07
- 144.5
- 125.5
- 5:53
- 82
- 13.5
- 78
- 2:48
- 4:21
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