The kinetic molecular theory of gases... Which of the following statements are true?

Which of the following statements are true?
1)The average kinetic energy of gas molecules increases with temperature.
2)There are gas molecules that move faster than the average.
3)The average speed of gas molecules increases with temperature.
4)All the gas molecules in a sample have the same kinetic energy.
5)There are gas molecules that move slower than the average.

Which statements about a sample of gas containing molecules of different masses are true?
1)More-massive gas molecules in the sample have lower rms speed than less-massive ones.
2)More-massive gas molecules in the sample have higher rms speed than less-massive ones.
3)The rms speed depends only on temperature, and so all types of particles in the sample have the same rms speed.