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 3:53. What time will it show 136 minutes later? (a) 6:09 (b) 5:59 (c) 6:19 (d) 7:09
- 2.A clock shows 4:42. What time will it show 103 minutes later? (a) 6:35 (b) 6:25 (c) 7:25 (d) 6:15
- 3.A clock shows 3:14. What time will it show 61 minutes later? (a) 5:15 (b) 4:05 (c) 4:25 (d) 4:15
- 4.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
- 6.How many degrees does the hour hand of a clock turn in 60 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 8:28? (in degrees) =
- 9.How many degrees does the hour hand of a clock turn in 98 minutes? =
- 10.A clock shows 11:06. What time will it show 26 minutes later? (a) 11:22 (b) 12:32 (c) 11:42 (d) 11:32
- 11.A clock shows 4:32. What time will it show 165 minutes later? (a) 7:27 (b) 7:17 (c) 8:17 (d) 7:07
- 12.A clock shows 2:23. What time will it show 13 minutes later? (a) 3:36 (b) 2:46 (c) 2:36 (d) 2:26
- 13.A clock shows 5:05. What time will it show 119 minutes later? (a) 7:04 (b) 8:04 (c) 7:14 (d) 6:54
- 14.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 16.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
- 18.A clock shows 8:36. What time will it show 13 minutes later? (a) 9:49 (b) 8:39 (c) 8:59 (d) 8:49
- 19.A clock shows 11:37. What time will it show 154 minutes later? (a) 2:11 (b) 3:11 (c) 2:01 (d) 2:21
- 20.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 24.A clock shows 9:44. What time will it show 117 minutes later? (a) 11:31 (b) 12:41 (c) 11:51 (d) 11:41
- 25.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
- 28.A clock shows 6:11. What time will it show 29 minutes later? (a) 6:40 (b) 7:40 (c) 6:50 (d) 6:30
- 29.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 30.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 31.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 32.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
- 35.How many degrees does the hour hand of a clock turn in 11 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 37.A clock shows 11:18. What time will it show 161 minutes later? (a) 1:49 (b) 2:09 (c) 1:59 (d) 2:59
- 38.How many degrees does the hour hand of a clock turn in 92 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 40.How many degrees does the hour hand of a clock turn in 124 minutes? =
Answer key
- 6:09
- 6:25
- 4:15
- 330
- 63
- 30
- 150
- 86
- 49
- 11:32
- 7:17
- 2:36
- 7:04
- 134
- 294
- 264
- 20
- 8:49
- 2:11
- 121.5
- 108
- 16.5
- 12
- 11:41
- 288
- 46
- 109.5
- 6:40
- 90
- 48
- 270
- 126
- 16
- 10.5
- 5.5
- 63
- 1:59
- 46
- 204
- 62
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