The school is an active member of the Hampton Independent and State Schools' Partnership (the Hampton ISSP, formerly know as the Hampton Executive), a group of state secondary schools in the Richmond Borough, working under the chairmanship of Sir John Rowling, with LEH and Hampton School, to raise educational standards and to promote social cohesion.

The activities of the Hampton ISSP were, until 2009-10, largely funded by the DCSF. From 2009-10, they are funded directly by the two independent school partners and the boroughs of Richmond and Kingston, alongside a smaller contribution from the DCSF.

Events organised and/or funded by LEH during 20010-11 were as follows:

• Organising and funding a Model United Nations Conference for Year 10 pupils (100+ pupils from 7 schools)
• Organising the A/A* revision days in Maths, English and Science
• Provision of staff for A/A* revision sessions for key marginal pupils in Maths and Science
• Organisation and hosting of Sixth Form mentoring programme for Year 11 pupils (English, Maths, Science) at Hampton Academy
• Organising and funding the Pubic Speaking Gifted & Talented Day for Year 9 (60+ pupils from 6 schools), jointly with Hampton School
• In partnership with Hampton School, running a Music Day and Concert

2010-11 saw the third year of funding from the SHINE Trust for a ‘Serious Fun on Saturdays' programme. 40 Year 5 girls from local state junior/primary schools attended enrichment sessions on Saturday mornings for fourteen weeks from November 2010 – March 2011. These sessions are run by LEH staff and mentored by nine members of the Sixth Form, using the school's facilities. See http://www.shinetrust.org.uk/site/pages/119_thelehs.php

LEH pupils organise, and help supervise, events for children with moderate learning and behavioural issues. These include a ‘Splash and Gym' event, using the school's sporting facilities free of charge; two day trips – one to a museum in London and one to a city farm, funded jointly by LEH and Hampton School. 

Pupils from a local secondary school (HCC) are invited to our Sixth Form ‘Taster Day' each year.

Pupils undertake significant community work at local state primary schools.

Pupils lead and undertake mentoring programmes with GCSE pupils from Hampton Academy and Teddington School.

The school has strong music links with several local primary, junior and infant schools. Over recent years, we have run Opera workshops and assisted with school concerts. In June 2010, LEH commissioned a major new cantata for pupils at local primary schools, ‘And all that…'. Written by a member of staff at LEH, the work was performed at Hampton Court Palace by a choir of over 100, comprising singers from Hampton Junior School, Carlisle Infant School, The Lady Eleanor Holles School and the Hampton Hill Singers, an adult community choir, under the direction of the school's Director of Music.

In addition, the Director of Music led a Family Opera Night Evening at Hampton Hill Junior School, rehearsing and directing singers from Hampton Junior School and the Hampton Hill Singers. This also involved leading whole-school assemblies.

The Director of Music continues to act as an adviser for local music teachers.

The school invites visiting speakers from a range of different universities for talks in Classics. This has included lecturers from Oxford University, in conjunction with its outreach program ‘Discover Classics', as well as ones from Cambridge, London and Nottingham. The Classics Department has invited pupils from the local schools to the series of lectures and talks that have been organised. The following schools have attended one or more lectures:

• Esher College
• Richmond College
• Greycourt School (as part of its G & T provision)
• Hampton School
• Kingston Grammar School
• King's College Wimbledon

Sport
The school has a designated School Sports Co-ordinator (SSCO) to work with other schools to promote the sharing of facilities and skills with local schools. This is a designated responsibility, and is remunerated by the school.

1. Pupils from LEH take part in sports events, some orgainsed through the Richmond Borough School Sports Partnership not normally offered by the school, including Hockey and Basketball matches, and Canoeing.
2. LEH organised and hosted the following events:
   1. A series of Pop Lacrosse lessons for 90 pupils from a local junior school
   2. A series of Rounders lessons for 90 pupils from a local junior school
3. LEH hosted the following events:
   1. The four British Schools Gymnastics Association London Region Competitions
   2. The Richmond Borough Trampolining Competition.
4. Local primary schools were invited to take part in a Swimming Festival
5. The SSCO acted as the girls' team manager for Richmond Borough cross country team.

Staff and pupils co-founded a Carnegie Reading Group with Hampton Academy and Hampton School in 2008-9, sharing library facilities and resources. This remains a thriving group.

Staff from local schools are invited to music and drama performances at LEH.

The school provided mock interviews for medical UCAS applicants from The Hollyfield School.

Staff from Dormers Wells High School, Southall observed Sixth Form lessons in English, Maths & Physics.

Staff from Christ's School, Richmond visited the science department, observing a range of lessons across key stages.