You didn't provide any information on the coin's condition or mint mark. Here are some typical values for 1940 quarters from Philadelphia (no mint mark), Denver (D), and San Francisco (S). "Good" condition means fairly heavy wear but all wording and major details visible, "Fine" can be interpreted as light to moderate wear, and "Extremely Fine" means the coin has essentially no wear.
Regardless of mint mark, a 1940 quarter would be worth around $3 in Good condition and maybe $6 in Fine condition. In XF, a Philadelphia issue would retail for about $10, a 1940-S would be about $15 and a 1940-D would be about $30.
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The value of a 1951 quarter will value depending on the condition and where it was minted. The value ranges from 3.52 to 4.30.
There is no such thing as a 1914 quarter.
If well-worn, about $6 regardless of mint mark. If almost uncirculated, 1940 quarters from Philadelphia are worth around $10, S-mint (San Francisco) coins go for about $15, and D-mint (Denver) coins are about $30.
I believe that a 1922 quarter is made of almost pure silver with a value of about $3
The coin is face value.