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 4:29. What time will it show 17 minutes later? (a) 4:36 (b) 4:46 (c) 5:46 (d) 4:56
- 2.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 3.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 97 minutes? =
- 6.A clock shows 10:03. What time will it show 77 minutes later? (a) 11:20 (b) 12:20 (c) 11:10 (d) 11:30
- 7.A clock shows 2:50. What time will it show 11 minutes later? (a) 2:51 (b) 3:11 (c) 4:01 (d) 3:01
- 8.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 11.A clock shows 11:06. What time will it show 98 minutes later? (a) 12:54 (b) 1:44 (c) 12:44 (d) 12:34
- 12.A clock shows 7:49. What time will it show 39 minutes later? (a) 9:28 (b) 8:38 (c) 8:28 (d) 8:18
- 13.A clock shows 12:31. What time will it show 52 minutes later? (a) 2:23 (b) 1:33 (c) 1:13 (d) 1:23
- 14.A clock shows 1:04. What time will it show 129 minutes later? (a) 3:03 (b) 3:13 (c) 3:23 (d) 4:13
- 15.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
- 18.A clock shows 1:38. What time will it show 19 minutes later? (a) 1:57 (b) 2:57 (c) 2:07 (d) 1:47
- 19.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 6:48? (in degrees) =
- 21.How many degrees does the hour hand of a clock turn in 124 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
- 23.A clock shows 12:55. What time will it show 150 minutes later? (a) 3:35 (b) 3:25 (c) 4:25 (d) 3:15
- 24.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
- 26.A clock shows 2:03. What time will it show 107 minutes later? (a) 4:50 (b) 4:00 (c) 3:40 (d) 3:50
- 27.A clock shows 7:02. What time will it show 15 minutes later? (a) 7:27 (b) 7:07 (c) 7:17 (d) 8:17
- 28.A clock shows 5:10. What time will it show 80 minutes later? (a) 6:40 (b) 7:30 (c) 6:20 (d) 6:30
- 29.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
- 30.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 31.How many degrees does the hour hand of a clock turn in 38 minutes? =
- 32.A clock shows 2:26. What time will it show 64 minutes later? (a) 3:30 (b) 4:30 (c) 3:20 (d) 3:40
- 33.How many degrees does the hour hand of a clock turn in 167 minutes? =
- 34.A clock shows 3:05. What time will it show 10 minutes later? (a) 3:05 (b) 3:25 (c) 4:15 (d) 3:15
- 35.A clock shows 7:13. What time will it show 150 minutes later? (a) 9:53 (b) 9:33 (c) 9:43 (d) 10:43
- 36.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
- 37.How many degrees does the hour hand of a clock turn in 49 minutes? =
- 38.How many degrees does the hour hand of a clock turn in 61 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
Answer key
- 4:46
- 312
- 66
- 148
- 48.5
- 11:20
- 3:01
- 48.5
- 121
- 198
- 12:44
- 8:28
- 1:23
- 3:13
- 78.5
- 25.5
- 5
- 1:57
- 48
- 84
- 62
- 13.5
- 3:25
- 25
- 128
- 3:50
- 7:17
- 6:30
- 55
- 150
- 19
- 3:30
- 83.5
- 3:15
- 9:43
- 14
- 24.5
- 30.5
- 24.5
- 94
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