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 10:46. What time will it show 112 minutes later? (a) 12:28 (b) 12:48 (c) 1:38 (d) 12:38
- 2.How many degrees does the hour hand of a clock turn in 52 minutes? =
- 3.A clock shows 3:18. What time will it show 119 minutes later? (a) 5:27 (b) 6:17 (c) 5:17 (d) 5:07
- 4.A clock shows 10:02. What time will it show 13 minutes later? (a) 10:05 (b) 10:15 (c) 11:15 (d) 10:25
- 5.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 9:44? (in degrees) =
- 10.A clock shows 5:50. What time will it show 49 minutes later? (a) 6:29 (b) 6:39 (c) 7:39 (d) 6:49
- 11.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
- 13.How many degrees does the hour hand of a clock turn in 135 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 18.A clock shows 11:14. What time will it show 115 minutes later? (a) 1:09 (b) 12:59 (c) 2:09 (d) 1:19
- 19.How many degrees does the hour hand of a clock turn in 125 minutes? =
- 20.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 10:58? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
- 24.How many degrees does the hour hand of a clock turn in 87 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 27.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 28.A clock shows 9:44. What time will it show 78 minutes later? (a) 10:52 (b) 11:02 (c) 12:02 (d) 11:12
- 29.A clock shows 10:42. What time will it show 81 minutes later? (a) 11:53 (b) 1:03 (c) 12:13 (d) 12:03
- 30.A clock shows 4:21. What time will it show 157 minutes later? (a) 6:58 (b) 6:48 (c) 7:58 (d) 7:08
- 31.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
- 32.A clock shows 9:33. What time will it show 64 minutes later? (a) 11:37 (b) 10:47 (c) 10:37 (d) 10:27
- 33.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 36.A clock shows 1:45. What time will it show 60 minutes later? (a) 2:35 (b) 3:45 (c) 2:45 (d) 2:55
- 37.A clock shows 9:39. What time will it show 43 minutes later? (a) 10:12 (b) 10:22 (c) 11:22 (d) 10:32
- 38.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
- 40.A clock shows 9:01. What time will it show 11 minutes later? (a) 9:12 (b) 10:12 (c) 9:22 (d) 9:02
Answer key
- 12:38
- 26
- 5:17
- 10:15
- 167.5
- 105
- 31
- 52.5
- 28
- 6:39
- 156
- 79
- 67.5
- 107
- 127
- 32
- 168
- 1:09
- 62.5
- 65
- 19
- 9
- 179
- 43.5
- 59
- 174
- 354
- 11:02
- 12:03
- 6:58
- 111.5
- 10:37
- 129.5
- 72.5
- 90
- 2:45
- 10:22
- 118
- 15.5
- 9:12
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