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.How many degrees does the hour hand of a clock turn in 76 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
- 5.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 6.A clock shows 6:21. What time will it show 101 minutes later? (a) 8:12 (b) 7:52 (c) 8:02 (d) 9:02
- 7.A clock shows 6:06. What time will it show 65 minutes later? (a) 7:01 (b) 7:21 (c) 7:11 (d) 8:11
- 8.A clock shows 11:38. What time will it show 39 minutes later? (a) 12:17 (b) 12:27 (c) 1:17 (d) 12:07
- 9.How many degrees does the hour hand of a clock turn in 155 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 52 minutes? =
- 13.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 16.A clock shows 11:28. What time will it show 55 minutes later? (a) 12:23 (b) 12:13 (c) 12:33 (d) 1:23
- 17.What is the smaller angle between the hour hand and the minute hand at 11:50? (in degrees) =
- 18.A clock shows 2:53. What time will it show 47 minutes later? (a) 3:30 (b) 3:40 (c) 3:50 (d) 4:40
- 19.A clock shows 12:05. What time will it show 161 minutes later? (a) 3:46 (b) 2:36 (c) 2:46 (d) 2:56
- 20.How many degrees does the hour hand of a clock turn in 24 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
- 22.How many degrees does the hour hand of a clock turn in 178 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
- 24.A clock shows 12:17. What time will it show 39 minutes later? (a) 1:06 (b) 1:56 (c) 12:46 (d) 12:56
- 25.How many degrees does the hour hand of a clock turn in 143 minutes? =
- 26.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
- 29.A clock shows 12:01. What time will it show 17 minutes later? (a) 12:08 (b) 12:18 (c) 12:28 (d) 1:18
- 30.A clock shows 6:48. What time will it show 18 minutes later? (a) 7:16 (b) 8:06 (c) 6:56 (d) 7:06
- 31.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 32.A clock shows 5:09. What time will it show 61 minutes later? (a) 6:10 (b) 6:00 (c) 7:10 (d) 6:20
- 33.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
- 36.A clock shows 1:34. What time will it show 70 minutes later? (a) 2:44 (b) 3:44 (c) 2:34 (d) 2:54
- 37.A clock shows 7:16. What time will it show 15 minutes later? (a) 7:31 (b) 8:31 (c) 7:21 (d) 7:41
- 38.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 7:37? (in degrees) =
- 40.A clock shows 4:18. What time will it show 116 minutes later? (a) 6:24 (b) 6:14 (c) 6:04 (d) 7:14
Answer key
- 38
- 130
- 177
- 119.5
- 204
- 8:02
- 7:11
- 12:17
- 77.5
- 4.5
- 294
- 26
- 156
- 6.5
- 324
- 12:23
- 55
- 3:40
- 2:46
- 12
- 62.5
- 89
- 152.5
- 12:56
- 71.5
- 270
- 92.5
- 135.5
- 12:18
- 7:06
- 216
- 6:10
- 75.5
- 78.5
- 115
- 2:44
- 7:31
- 330
- 6.5
- 6:14
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