Question: What type of schools are both Carre's Grammar School and Kesteven and Sleaford High School?

Context paragraphs:
Wilmington Grammar School for Boys: Wilmington Grammar School for Boys (WGSB) is a grammar school with academy status in Wilmington, Kent.  The school, which from 1954 to 1982 was called Dartford Technical High School, is a specialist Engineering school with a strong emphasis on Design Technology, Mathematics and Physics.  The uniform consists of blue blazers, white shirts, grey trousers and different ties for each house within the school. .  Suits are worn in the sixth form.  The school is situated directly alongside Wilmington Academy and has a bus service that also serves Dartford Grammar School for Girls, Dartford Grammar School, Wilmington Grammar School for Girls and Wilmington Academy.

Sleaford Joint Sixth Form: Sleaford Joint Sixth Form is a partnership in Sleaford, England, between Carre's Grammar School and St George's Academy.  It has Mathematics, Science and Computing specialism.

Eton Fives: Eton Fives, a derivative of the British game of Fives, is a handball game, similar to Rugby Fives, played as doubles in a three-sided court.  The object is to force the other team to fail to hit the ball 'up' off the front wall, using any variety of wall or ledge combinations as long as the ball is played 'up' before it bounces twice.  Eton Fives is an uncommon sport, with only a few courts, most of them as part of the facilities of the public schools in the United Kingdom (as well as Rydal Penrhos, Wolverhampton Grammar School, St Olave's Grammar School, St Bartholomew's School, Newbury and St Saviour's Grammar School, the Royal Grammar School, High Wycombe, King Edward's School, Birmingham, Queen Elizabeth's School for Boys, City of Norwich School and Oswestry School), Wrekin College and Queen Elizabeth's Grammar School, Ashbourne; consequently, it has been primarily the preserve of their students and alumni.  The only known court to be owned by a private individual in the UK is on the Torry Hill estate in Kent.

Purley High School for Boys: Purley High School for Boys existed from 1914 to 1988.  Originally located in Purley from 1914, in 1936 it relocated to Placehouse Lane, Old Coulsdon, London Borough of Croydon.  The school was Purley County Grammar School from 1914 to 1969, becoming Purley Grammar School for Boys and then, in 1973, Purley High School for Boys after the abolition of the Grammar School system and the implementation of the Comprehensive System.

Limavady Grammar School: Limavady Grammar School, is a co-educational 11-18 selective Grammar School in Limavady, County Londonderry in Northern Ireland.  Situated on the Ballyquin Road, it is close to other schools in the town, including Limavady High School and St. Mary's High School.  In 2008, the school was placed 139th in "The Times" school league table for the UK, which is based on both GCSE and A-level results.

Kesteven and Sleaford High School: Kesteven and Sleaford High School, (KSHS), is a selective school with academy status for girls aged between eleven and sixteen and girls and boys between sixteen and eighteen, located on Jermyn Street in the small market town of Sleaford, Lincolnshire, England, close to Sleaford railway station.

List of Victoria Crosses by school: The Victoria Cross has been awarded 1,358 times to a person of any rank in any service and to civilians under military command.  This list however only shows 317 recipients.  The awards were mainly to alumni of non-state schools.  More than thirty schools are known to have educated more than one VC recipient.  Only six of the schools with more than one VC recipient are state schools (Dudley Public School, George Mitchell School, Queen Elizabeth's Grammar School for Boys, Royal Grammar School High Wycombe, Royal High School Edinburgh and Wimbledon College).

The Royal School, Armagh: The Royal School, Armagh is a co-educational grammar school in the city of Armagh in Northern Ireland.  The Headmaster, Mr Paul Crute, is a member of the Headmasters' and Headmistresses' Conference HMC.  The Royal School is a voluntary grammar school of ancient foundation.  It has a boarding department with an international intake and is similar to the former English public schools of the Direct grant grammar school type.

Loughborough Grammar School: Loughborough Grammar School (commonly LGS) founded in 1495 by Thomas Burton, is an independent school for boys in Loughborough, Leicestershire, England.  The school has approximately 910 day boys and 60 boarders.  It is one of four schools known as the Loughborough Endowed Schools, along with Loughborough High School, Fairfield Preparatory School and Our Lady's Convent School.  The Endowed Schools are separate independent schools in their own right but share a board of governors.  In line with the charitable intent of its founders, Loughborough Grammar School and Loughborough High School offer a number of means-tested bursaries, called School Assisted Places (SAPs), which cover up to 100% of fees.

Carre's Grammar School: Carre's Grammar School is a selective secondary school for boys in Sleaford, a market town in Lincolnshire, England.  Founded on 1 September 1604 by an indenture of Robert Carre, the school was funded by rents from farmland and run by a group of trustees.  The indenture restricted the endowment to £20 without accounting for inflation, causing the school to decline during the 18th century and effectively close in 1816.  Revived by a decree from the Court of Chancery in 1830, new buildings were constructed at its present site and the school re-opened in 1835.  Faced with competition from cheaper commercial schools and declining rolls, Carre's eventually added technical and artistic instruction to its Classical curriculum by affiliating with Kesteven County Council in 1895.  Following the Education Act 1944, school fees were abolished and Carre's became Voluntary Aided.  New buildings were completed in 1966 to house the rising number of students.  After plans for comprehensive education in Sleaford came to nothing in the 1970s and 1980s, Carre's converted to grant-maintained status in 1990.  Foundation status followed and the school became an Academy in 2011; a multi-Academy trust with Kesteven and Sleaford High School was formed in 2015.

Supporting paragraphs: Carre's Grammar School Kesteven and Sleaford High School
Answer: selective