From Wikipedia:
The franc became the currency of Rwanda in 1916, when Belgium occupied the previously German colony and the Belgian Congo franc replaced the German East African rupie. Rwanda used the currency of Belgian Congo until 1960, when the Rwanda and Burundi franc was introduced.
Rwanda began issuing its own francs in 1964. In 1964, coins were introduced for 1, 5 and 10 francs, with the 1 and 10 francs in cupronickel and the 5 francs in bronze.