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Sixth grade math winter vacation homework
1. There are no more than 50 students in a class. On the morning of New Year's Day, 2/9 of the class went to a singing contest,14 went to play table tennis, and the rest went to the movies. How many students went to the movies?

On the morning of New Year's Day, 2/9 of the students in the class took part in the singing competition, and 1 of the students in the class played table tennis, which showed that there were students in both activities.

2/9+ 1/4 = 17/36, and the rest.

1- 17/36= 19/36

The number of people who want to go to the movies should be: class size * 19/36. Only when the class number is a multiple of 36, the result can be an integer, and the multiple of 36 within 50 is only 36, so there are 36 students in the class, then

36 * 19/36 = 19 people.

There are 19 people watching movies.

A rope is 62.8 meters long. Is the square it encloses bigger or the circle it encloses bigger?

The side length of a square is

62.8/4 =15.7m.

The area of a square is

15.7 * 15.7 = 246.49 m2

The radius of this circle is

62.8/3.14/2 =10m

The area of a circle is

10 *10 * 3.14 = 314 square meter.

So the area of the circle is very large.