one quarter
Yes.
one quarter is less than one third
i quarter of a cent
no such thing. Think again - An Australian 20c coin. Its value is also less than a US quarter but more than a US dime. I suspect there are many other examples.
one quarter
three fifths.....or anywhere between 25% and 49%
Less than one half of a number is a quarter of a number.
Yes.
one quarter is less than one third
These are different phases of the moon based on its appearance as observed from Earth. Crescent moon is when less than half of the moon is visible, first quarter is when half of the moon is visible, waning gibbous is when more than half but less than full moon is visible, and waxing gibbous is the phase when more than half but less than full moon is visible.
You can see more than one half but less than all of the Moon's lighted side during the phases known as gibbous moons. This occurs when the Moon is more than half illuminated but less than fully illuminated by the Sun from our perspective on Earth.
i quarter of a cent
A quarter of a group, possibly.
Yes. Two eighths is exactly a quarter - which is certainly less than half !
less
three tenths is more than a quarter