EDEN and Keswick schools have received mixed results for exam attainment and pupil progress in the latest government league tables - the first following the introduction of new-style GCSEs in English and maths.
There is also a new measure called "Progress 8", which compares a pupil's progress from the end of primary school to the end of secondary.
"As a school that prides itself on offering a diverse, broad and balanced curriculum offer throughout years seven to 13, it is important to note that in 2017 fewer schools are on, or near, the average for Progress 8".
All of the other state secondary schools in Banburyshire are considered "average", while Space Studio Banbury was the only one below the national standard.
For the second successive year, Bridlington secured the highest score in the county in the Progress 8 measurement, which charts how well students have developed in the years leading up to their GCSEs.
On the measure of Attainment 8, Sheffield scored an average of 44.6 which is below the national average of 46.3.
The Department for Education suggested that the rise in under-performing schools is because of technical changes to the points system used by government statisticians to calculate a school's performance. Around 12 per cent of secondaries in the country have achieved this score.
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David Hood, head teacher, said: "Our students made exceptionally good progress in a number of subjects, including English and Maths".
Pupils in Staffordshire who have achieved a level 9-5 pass in English and Maths is 39.3%, compared to 39.6% nationally.
Jacky Kennedy, headteacher, said: "Our Progress 8 score, which summarises our performance overall, is much improved from the previous year and reflects the hard work of our students and staff". Progress 8 scores of all Year 11 pupils are added together and divided by the number of pupils in the school.
Attainment 8 measures the achievement of a pupil across 8 qualifications including mathematics and English, 3 further qualifications that count in the English Baccalaureate measure and 3 further qualifications that can be GCSE qualifications (including EBacc subjects) or any other non-GCSE qualifications on the DfE approved list.
The DfE insisted that where schools have fallen below the floor standard, the data is "a starting point for a conversation about school improvement".
North Yorkshire also has a higher proportion of pupils who attend secondary schools which are good or outstanding, with 91 per cent attending a good or outstanding school - compared to 82.6 per cent nationally.
Schools Minister Nick Gibb highlighted a narrowing gulf between the results of rich and poor pupils.