Evidence on intergenerational income mobility in the UK is dated. This paper seeks to update our knowledge by introducing new estimates of mobility for later measures of earnings in the 1958 and 1970 birth cohorts. Given poor or non-existent data on more recent cohorts we adopt an indirect approach to assessing more recent mobility trends. This exploits the close link between income persistence across generations and the gap in educational achievement by family background (referred to as educational inequality). We gather a comprehensive set of data which measures educational inequality for different cohorts at different points in the education system. We conclude that educational inequality has declined for cohorts born after 1980, and this is associated with rising average educational achievement. In contrast, evidence on high attainment does not reveal that educational inequality has declined; this suggests that policy seeking to promote equality of opportunity should encourage students to aim high.