There were no British Five Pound coins minted from 1938 to 1979 inclusive.
The coin you possibly refer to is the predecimal British 1965 cupro-nickel Crown (Five Shillings)(Elizabeth II) Churchill Commemorative.
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The larger pre-1991 5 Pence coins were withdrawn from circulation and demonetised in 1991. So, unless they are part of a Proof or uncirculated mint set or are individual Proof or uncirculated coins and in absolute mint condition, they have little or no value.
A British 1969 cupro-nickel 5 New Pence coin (Elizabeth II), uncirculated and in absolute mint condition could fetch up to £0.30 GBP.
A reputable coin dealer will be able to give a more accurate valuation.
Such a coin does not exist. The British 5 New Pence coin was first issued in 1967.