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 4:24. What time will it show 161 minutes later? (a) 6:55 (b) 8:05 (c) 7:05 (d) 7:15
- 2.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
- 4.A clock shows 8:21. What time will it show 134 minutes later? (a) 10:25 (b) 11:35 (c) 10:35 (d) 10:45
- 5.A clock shows 5:22. What time will it show 51 minutes later? (a) 6:23 (b) 6:13 (c) 7:13 (d) 6:03
- 6.A clock shows 1:09. What time will it show 25 minutes later? (a) 1:44 (b) 1:34 (c) 1:24 (d) 2:34
- 7.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 8.A clock shows 10:44. What time will it show 64 minutes later? (a) 11:58 (b) 12:48 (c) 11:38 (d) 11:48
- 9.A clock shows 7:58. What time will it show 163 minutes later? (a) 10:31 (b) 10:41 (c) 10:51 (d) 11:41
- 10.A clock shows 10:17. What time will it show 152 minutes later? (a) 12:59 (b) 1:49 (c) 12:39 (d) 12:49
- 11.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 12.A clock shows 7:27. What time will it show 89 minutes later? (a) 8:46 (b) 9:06 (c) 9:56 (d) 8:56
- 13.A clock shows 11:31. What time will it show 51 minutes later? (a) 12:32 (b) 12:12 (c) 1:22 (d) 12:22
- 14.What is the smaller angle between the hour hand and the minute hand at 11:55? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
- 20.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 21.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 22.A clock shows 3:07. What time will it show 74 minutes later? (a) 4:11 (b) 5:21 (c) 4:31 (d) 4:21
- 23.What is the smaller angle between the hour hand and the minute hand at 11:12? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
- 27.A clock shows 3:11. What time will it show 43 minutes later? (a) 3:44 (b) 3:54 (c) 4:04 (d) 4:54
- 28.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
- 29.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
- 33.A clock shows 5:32. What time will it show 91 minutes later? (a) 7:13 (b) 8:03 (c) 7:03 (d) 6:53
- 34.A clock shows 5:46. What time will it show 47 minutes later? (a) 6:23 (b) 6:33 (c) 6:43 (d) 7:33
- 35.How many degrees does the hour hand of a clock turn in 44 minutes? =
- 36.A clock shows 8:11. What time will it show 139 minutes later? (a) 11:30 (b) 10:20 (c) 10:30 (d) 10:40
- 37.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
- 38.A clock shows 3:59. What time will it show 111 minutes later? (a) 6:50 (b) 5:50 (c) 6:00 (d) 5:40
- 39.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
Answer key
- 7:05
- 114
- 19
- 10:35
- 6:13
- 1:34
- 264
- 11:48
- 10:41
- 12:49
- 18
- 8:56
- 12:22
- 27.5
- 45
- 94
- 22.5
- 17
- 88
- 288
- 72
- 4:21
- 96
- 166.5
- 60
- 109.5
- 3:54
- 73
- 312
- 164.5
- 75.5
- 58
- 7:03
- 6:33
- 22
- 10:30
- 113.5
- 5:50
- 178
- 119
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