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 4:58. What time will it show 102 minutes later? (a) 6:40 (b) 6:50 (c) 6:30 (d) 7:40
- 2.A clock shows 12:05. What time will it show 26 minutes later? (a) 12:31 (b) 1:31 (c) 12:41 (d) 12:21
- 3.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
- 8.A clock shows 8:35. What time will it show 122 minutes later? (a) 10:37 (b) 10:27 (c) 10:47 (d) 11:37
- 9.How many degrees does the hour hand of a clock turn in 115 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 46 minutes? =
- 13.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 14.How many degrees does the hour hand of a clock turn in 92 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 16.How many degrees does the hour hand of a clock turn in 25 minutes? =
- 17.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 18.How many degrees does the hour hand of a clock turn in 173 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 41 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
- 23.How many degrees does the hour hand of a clock turn in 84 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 29.How many degrees does the hour hand of a clock turn in 13 minutes? =
- 30.A clock shows 8:43. What time will it show 122 minutes later? (a) 10:55 (b) 11:45 (c) 10:35 (d) 10:45
- 31.A clock shows 7:32. What time will it show 99 minutes later? (a) 10:11 (b) 9:11 (c) 9:21 (d) 9:01
- 32.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
- 33.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
- 35.How many degrees does the hour hand of a clock turn in 42 minutes? =
- 36.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 37.A clock shows 3:07. What time will it show 65 minutes later? (a) 5:12 (b) 4:12 (c) 4:02 (d) 4:22
- 38.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
- 39.A clock shows 12:22. What time will it show 157 minutes later? (a) 3:09 (b) 2:49 (c) 2:59 (d) 3:59
- 40.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
Answer key
- 6:40
- 12:31
- 179
- 79.5
- 170
- 106
- 39
- 10:37
- 57.5
- 104
- 121.5
- 23
- 270
- 46
- 132
- 12.5
- 78
- 86.5
- 20.5
- 179
- 312
- 103.5
- 42
- 282
- 41
- 21.5
- 149
- 186
- 6.5
- 10:45
- 9:11
- 73
- 162
- 126
- 21
- 54
- 4:12
- 154.5
- 2:59
- 156
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