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 7:30? (in degrees) =
- 2.A clock shows 2:14. What time will it show 131 minutes later? (a) 5:25 (b) 4:15 (c) 4:25 (d) 4:35
- 3.A clock shows 12:25. What time will it show 129 minutes later? (a) 2:24 (b) 2:34 (c) 3:34 (d) 2:44
- 4.How many degrees does the hour hand of a clock turn in 48 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 10.A clock shows 4:23. What time will it show 162 minutes later? (a) 6:55 (b) 7:05 (c) 8:05 (d) 7:15
- 11.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
- 12.A clock shows 11:50. What time will it show 37 minutes later? (a) 12:17 (b) 12:37 (c) 1:27 (d) 12:27
- 13.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
- 14.A clock shows 2:07. What time will it show 24 minutes later? (a) 2:41 (b) 2:31 (c) 2:21 (d) 3:31
- 15.A clock shows 6:03. What time will it show 39 minutes later? (a) 6:42 (b) 6:52 (c) 6:32 (d) 7:42
- 16.A clock shows 5:21. What time will it show 170 minutes later? (a) 9:11 (b) 8:01 (c) 8:11 (d) 8:21
- 17.A clock shows 12:51. What time will it show 66 minutes later? (a) 2:07 (b) 1:57 (c) 2:57 (d) 1:47
- 18.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 20.A clock shows 6:50. What time will it show 10 minutes later? (a) 7:00 (b) 6:50 (c) 7:10 (d) 8:00
- 21.A clock shows 3:05. What time will it show 120 minutes later? (a) 5:15 (b) 4:55 (c) 5:05 (d) 6:05
- 22.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
- 26.A clock shows 8:38. What time will it show 155 minutes later? (a) 11:23 (b) 12:13 (c) 11:13 (d) 11:03
- 27.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
- 29.A clock shows 4:27. What time will it show 156 minutes later? (a) 6:53 (b) 7:13 (c) 7:03 (d) 8:03
- 30.How many degrees does the hour hand of a clock turn in 27 minutes? =
- 31.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
- 33.A clock shows 7:52. What time will it show 140 minutes later? (a) 10:22 (b) 10:02 (c) 11:12 (d) 10:12
- 34.A clock shows 2:42. What time will it show 48 minutes later? (a) 3:20 (b) 3:40 (c) 3:30 (d) 4:30
- 35.How many degrees does the hour hand of a clock turn in 63 minutes? =
- 36.A clock shows 1:01. What time will it show 78 minutes later? (a) 2:19 (b) 3:19 (c) 2:29 (d) 2:09
- 37.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
- 38.A clock shows 3:14. What time will it show 165 minutes later? (a) 5:59 (b) 5:49 (c) 6:09 (d) 6:59
- 39.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
- 40.A clock shows 5:51. What time will it show 72 minutes later? (a) 6:53 (b) 7:13 (c) 8:03 (d) 7:03
Answer key
- 45
- 4:25
- 2:34
- 24
- 130.5
- 168
- 300
- 8.5
- 102
- 7:05
- 46
- 12:27
- 80.5
- 2:31
- 6:42
- 8:11
- 1:57
- 79.5
- 234
- 7:00
- 5:05
- 252
- 9
- 158.5
- 28
- 11:13
- 198
- 19
- 7:03
- 13.5
- 162
- 150.5
- 10:12
- 3:30
- 31.5
- 2:19
- 89
- 5:59
- 122
- 7:03
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