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

full_context: Document 1: Derby High School, Derby: Derby High School is an independent day school for girls aged 3 to 18 and boys up to age 11 in the suburb of Littleover in Derby, it is a member of the Girls' Schools Association.
Document 2: Borden Grammar School: Borden Grammar School is a selective boys grammar school with academy status situated in the centre of Sittingbourne, Kent, England, which educates students aged 11–18. Whilst the school mainly admits boys, a small number girls have been educated at the school within the Sixth Form. The school holds specialist status in Sports. The school has a Latin motto, "nitere porro" which translates as "to strive forward".
Document 3: 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.
Document 4: Spalding Grammar School: Spalding Grammar School (SGS), fully known as The Queen Elizabeth Royal Free Grammar School Spalding, is a boys' grammar school located on "Priory Road" in Spalding, Lincolnshire, England, for pupils aged 11 to 18. In December 2011, the school was granted an "Outstanding" rating from Ofsted. The school converted to academy status on 1 February 2013.
Document 5: 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.
Document 6: North Kesteven: North Kesteven is a local government district in the East Midlands. Just over 100 mi north of London, it is east of Nottingham and south of Lincoln. North Kesteven is one of seven districts in Lincolnshire, England and is in the centre of the County. Its council, North Kesteven District Council, is based in Sleaford in the former offices of Kesteven County Council.
Document 7: Oundle School: Oundle School is a co-educational boarding and day independent school in the ancient market town of Oundle in Northamptonshire. The school has been maintained by the Worshipful Company of Grocers of the City of London since its foundation in 1556. Oundle has eight boys' houses, five girls' houses, a day house and a junior house. Together these accommodate more than 1100 pupils. It is the third largest boarding school in England after Eton and Millfield.
Document 8: 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.
Document 9: Bourne Grammar School: Bourne Grammar School is a co-educational grammar school with academy status on South Road (A15), in Bourne, Lincolnshire, England. The school was founded in 1330. It previously held Arts College Status, and was awarded Academy status in January 2012, although it retains its former name.
Document 10: Norwich School (independent school): Norwich School (formally King Edward VI Grammar School, Norwich) is a selective English independent day school in the close of Norwich Cathedral, Norwich. Among the oldest schools in the United Kingdom, it has a traceable history to 1096 as an episcopal grammar school established by Herbert de Losinga, first Bishop of Norwich. In the 16th century the school came under the control of the city of Norwich and moved to Blackfriars' Hall following a successful petition to Henry VIII. The school was refounded in 1547 in a royal charter granted by Edward VI and moved to its current site beside the cathedral in 1551. In the 19th century it became independent of the city and its classical curriculum was broadened in response to the declining demand for classical education following the Industrial Revolution.
Document 11: County Upper School: Bury St Edmunds County Upper School is a 13 to 19 co-educational comprehensive high-performing academy part of the Bury St Edmunds All-Through Trust, comprising County Upper School, Horringer Court School, Westley School and Barrow CEVC and Tollgate Primaries. It is one of three 13-18 schools serving the town of Bury St Edmunds in Suffolk, England and its surrounding villages. Pupils enter Year 9 primarily from three catchment middle schools in Bury St Edmunds but pupils are drawn widely from across the villages and towns of West Suffolk. The school is often over-subscribed with 266 first-choice applicants in 2009/10, 287 in 2010/11, 282 for 2011/12, 279 for 2012/13 and 268 for 2014/15 against a LEA Planned Admission Number of 260. In September 2013 the number of pupils on roll was 992 and it is expected that will remain relatively unchanged for the foreseeable future. Attached to the main school is a Sixth Form, which at present stands at around 209 students spread between Years 12 and 13. The school is located on Beetons Way, on the outskirts of town, next to St Benedict's Roman Catholic Upper School, with which it used to collaborate in the sixth form.
Document 12: Royal Grammar School, Guildford: The Royal Grammar School, Guildford (originally "The Free School"), commonly known as the RGS, is a selective independent day school for boys in Guildford, Surrey in England. The school dates its founding to the death of Robert Beckingham in 1509 who left provision in his will to 'make a free scole at the Towne of Guldford'; in 1512 a governing body was set up to form the school. The school moved to the present site in the upper High Street after the granting of a royal charter from King Edward VI in 1552. Around that time, its pupils were playing cricket and their activity was later documented as the earliest definite reference to the sport. The school's Old Building, constructed between 1557 and 1586, is the home of a rare example of a chained library. It was established on the death of John Parkhurst, Bishop of Norwich, in 1575. Although defined as a "free" school, the first statutes of governance, approved in 1608, saw the introduction of school fees, at the rate of 4 shillings per annum, along with the school's first admissions test. During the late 19th century the school ran into financial difficulty, which nearly resulted in the closure of the school. A number of rescue options were explored, including amalgamation with Archbishop Abbott's School. Funds were eventually raised, however, which allowed the school to remain open, although boarding was no longer offered.
Document 13: Chatham Grammar School for Boys: Holcombe Grammar School (formally Chatham Grammar School for Boys) is a grammar school with academy status in Chatham, Kent, England. It is a selective school. From the 2017-18 academic year, the school planned to become co-educational and remain selective in the lower school. This was blocked - and later approved - by the Department for Education with co-educational admission desired for the 2018/19 school year. The school has changed name in advance of becoming co-educational and plans to change all references from "Chatham Grammar School for Boys" to "Holcombe Grammar School" over academic year 2016/17.
Document 14: Wilmington Grammar School for Girls: Wilmington Grammar School for Girls, WGSG (Previously known as the Grammar School for Girls Wilmington) is a grammar school with academy status in Wilmington, Kent, England. The uniform consists of maroon blazers, maroon jumpers and skirts/black trousers, with blue shirts. The school is a member of the WHS partnership, so has a close relationship with the next-door Wilmington Grammar School for Boys, as well as Wilmington Academy and Oasis Academy Hextable.
Document 15: 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.
ground_truth: selective