Rima is a distinctive girls' name in England & Wales, ranking #2340 in 2018 with 11 recorded births. The name reached its all-time peak in 1996 with 24 births ranking #891. Since 1996, the popularity has decreased by 54.2%. In 2018, approximately 1 in every 26,206 girls born was named Rima. RISING Recent data shows the name is currently rising.