I, too, have little confidence dating coins of Israel. Below are two coins (forgive the horrible photos) and I believe them to be 1961. Could you confirm ... hopefully I'm on the right path and will get better with this in time with the other Israeli coins I have.
The coins are dated 5721 which corresponds to 1961. However as the Jewish Calendar is a lunar based calendar the new year starts in about September and so your coins are before September 1961. In fact 5722 started on 11 September 1961.
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