Simple harmonic motion and frequency

[ttk3]

Homework Statement

Consider a simple harmonic oscillator made of a mass sliding on a frictionless surface, and attached to a massless linear spring. Which of the following statements are true/false?
True False Quadrupling the mass will halve the frequency.
True False Doubling the spring constant will double the frequency.
True False Tripling the amplitude will sextuple the frequency.
True False Doubling the amplitude will not change the period.
True False Doubling the amplitude will halve the frequency.

Homework Equations

f = (1/ [2pi/sqrt(k/m)])

Vmax = A(2pi/T)

Vmax = A(2pif)

The Attempt at a Solution

using simple numbers I got the answers in this order

True
False
False
False
True

My numbers work out, but I'm wrong...
Any suggestions?
Thanks

 

[Doc Al]

f = (1/ [2pi/sqrt(k/m)])

Does frequency depend on amplitude?

 

[ttk3]

Ok... So doubling the amplitude doesn't effect the frequency, but I still can't get this question right...

I'm so confused

 

[Doc Al]

Three of those questions refer to amplitude. Check each one.