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 9:22. What time will it show 109 minutes later? (a) 11:01 (b) 12:11 (c) 11:11 (d) 11:21
- 2.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
- 3.A clock shows 9:58. What time will it show 123 minutes later? (a) 1:01 (b) 12:01 (c) 12:11 (d) 11:51
- 4.What is the smaller angle between the hour hand and the minute hand at 12:38? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
- 6.A clock shows 7:41. What time will it show 37 minutes later? (a) 8:08 (b) 9:18 (c) 8:18 (d) 8:28
- 7.A clock shows 10:08. What time will it show 13 minutes later? (a) 10:21 (b) 10:11 (c) 10:31 (d) 11:21
- 8.A clock shows 6:25. What time will it show 62 minutes later? (a) 8:27 (b) 7:37 (c) 7:17 (d) 7:27
- 9.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 7:51? (in degrees) =
- 12.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 13.A clock shows 1:03. What time will it show 15 minutes later? (a) 2:18 (b) 1:08 (c) 1:18 (d) 1:28
- 14.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
- 17.A clock shows 12:01. What time will it show 164 minutes later? (a) 2:55 (b) 2:45 (c) 3:45 (d) 2:35
- 18.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
- 20.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 71 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 58 minutes? =
- 23.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 24.A clock shows 4:00. What time will it show 106 minutes later? (a) 6:46 (b) 5:36 (c) 5:56 (d) 5:46
- 25.A clock shows 4:26. What time will it show 18 minutes later? (a) 5:44 (b) 4:54 (c) 4:34 (d) 4:44
- 26.How many degrees does the hour hand of a clock turn in 110 minutes? =
- 27.How many degrees does the hour hand of a clock turn in 121 minutes? =
- 28.A clock shows 10:19. What time will it show 111 minutes later? (a) 1:10 (b) 12:00 (c) 12:10 (d) 12:20
- 29.A clock shows 2:53. What time will it show 167 minutes later? (a) 6:40 (b) 5:40 (c) 5:50 (d) 5:30
- 30.A clock shows 9:25. What time will it show 100 minutes later? (a) 11:05 (b) 11:15 (c) 12:05 (d) 10:55
- 31.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =
- 33.How many degrees does the hour hand of a clock turn in 82 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
- 37.A clock shows 9:36. What time will it show 17 minutes later? (a) 9:53 (b) 10:53 (c) 10:03 (d) 9:43
- 38.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
- 39.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 40.How many degrees does the hour hand of a clock turn in 92 minutes? =
Answer key
- 11:11
- 141
- 12:01
- 151
- 30
- 8:18
- 10:21
- 7:27
- 264
- 85.5
- 70.5
- 156
- 1:18
- 186
- 102
- 76
- 2:45
- 96.5
- 19.5
- 216
- 35.5
- 29
- 180
- 5:46
- 4:44
- 55
- 60.5
- 12:10
- 5:40
- 11:05
- 54
- 45
- 41
- 151
- 30
- 16.5
- 9:53
- 67.5
- 306
- 46
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