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 1:31. What time will it show 163 minutes later? (a) 4:24 (b) 5:14 (c) 4:14 (d) 4:04
- 2.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 144 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 110 minutes? =
- 11.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
- 13.A clock shows 6:25. What time will it show 79 minutes later? (a) 7:44 (b) 7:34 (c) 7:54 (d) 8:44
- 14.A clock shows 4:09. What time will it show 106 minutes later? (a) 5:55 (b) 6:55 (c) 5:45 (d) 6:05
- 15.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
- 16.A clock shows 10:28. What time will it show 23 minutes later? (a) 10:51 (b) 11:01 (c) 10:41 (d) 11:51
- 17.A clock shows 9:46. What time will it show 133 minutes later? (a) 11:49 (b) 12:59 (c) 12:09 (d) 11:59
- 18.A clock shows 2:21. What time will it show 74 minutes later? (a) 3:25 (b) 3:45 (c) 3:35 (d) 4:35
- 19.How many degrees does the hour hand of a clock turn in 87 minutes? =
- 20.A clock shows 10:17. What time will it show 29 minutes later? (a) 10:36 (b) 10:46 (c) 10:56 (d) 11:46
- 21.A clock shows 1:57. What time will it show 47 minutes later? (a) 2:44 (b) 2:54 (c) 3:44 (d) 2:34
- 22.How many degrees does the hour hand of a clock turn in 58 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
- 24.How many degrees does the hour hand of a clock turn in 17 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
- 28.A clock shows 5:22. What time will it show 95 minutes later? (a) 6:47 (b) 7:57 (c) 6:57 (d) 7:07
- 29.A clock shows 6:15. What time will it show 163 minutes later? (a) 8:58 (b) 9:58 (c) 8:48 (d) 9:08
- 30.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 31.A clock shows 1:27. What time will it show 52 minutes later? (a) 2:29 (b) 2:09 (c) 2:19 (d) 3:19
- 32.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
- 33.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
- 36.A clock shows 1:20. What time will it show 69 minutes later? (a) 3:29 (b) 2:29 (c) 2:39 (d) 2:19
- 37.A clock shows 9:03. What time will it show 114 minutes later? (a) 10:47 (b) 11:57 (c) 11:07 (d) 10:57
- 38.How many degrees does the hour hand of a clock turn in 20 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
Answer key
- 4:14
- 14.5
- 48
- 106.5
- 72
- 81.5
- 39
- 162
- 4.5
- 55
- 90
- 30.5
- 7:44
- 5:55
- 4
- 10:51
- 11:59
- 3:35
- 43.5
- 10:46
- 2:44
- 29
- 169
- 8.5
- 45
- 42
- 135
- 6:57
- 8:58
- 72
- 2:19
- 138.5
- 240
- 0.5
- 179
- 2:29
- 10:57
- 10
- 154.5
- 59
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