Calculator Formula and sources
Formula and assumptions
This page explains the unofficial conversion used by the calculator. It is not the official West Midlands Grammar Schools or local authority standardisation model.
What the calculator does
1. Convert to percentages
If a parent enters correct answers and total questions, the calculator first computes the section percentage. If direct % correct is entered, that percentage is used.
percentage = correct_answers / total_questions
2. Estimate a standardised section
Each section is mapped onto a rough standardised scale with mean 100. The assumed practice-test average is 55% and the spread is 18 percentage points.
section = 100 + 15 * ((percentage - 0.55) / 0.18) + age_adjustment
3. Combine sections
English and verbal reasoning are averaged into a verbal component. This matches the published West Midlands weighting: English/verbal reasoning 50%, mathematics 25%, and non-verbal reasoning 25%.
final = round(average(English, VR) + average(Maths, NVR))
4. Optional birth-month adjustment
The calculator only asks for birth month, not a full date of birth. The month adjustment is deliberately small and cannot reproduce the official age standardisation.
age_adjustment = (month_index - 5.5) * 0.18
School list and score context
The calculator lists the official West Midlands partnership state grammar schools in Birmingham, Shropshire, Walsall, Wolverhampton and Warwickshire. Private and independent schools are not included. Rows are sorted by the highest published 2026 score context found on official school, council, or foundation pages.
| School | Area | Published 2026 context used | Waiting / notes |
|---|---|---|---|
| King Edward VI Camp Hill School for Girls | Birmingham | QS 205; 2026 Cat. 5 offer context 255 | March offer context from KE Foundation |
| King Edward VI Camp Hill School for Boys | Birmingham | QS 205; 2026 Cat. 5 offer context 254 | March offer context from KE Foundation |
| King Edward VI School, Stratford-upon-Avon | Warwickshire | Automatic QS 239 | Minimum waiting-list score 230 |
| Bishop Vesey’s Grammar School | Birmingham | QS 205; 2026 Cat. 3 offer context 229 | March offer context from KE Foundation |
| Stratford Girls’ Grammar School | Warwickshire | Automatic QS 227 | Minimum waiting-list score 224 |
| Sutton Coldfield Grammar School for Girls | Birmingham | QS 205; 2026 Cat. 3 offer context 227 | March offer context from KE Foundation |
| Alcester Grammar School | Warwickshire | Automatic QS 225 | Minimum waiting-list score 220 |
| Queen Mary’s Grammar School | Shropshire / Walsall / Wolverhampton | Approx. minimum QS 200; 2026 lowest offer 225 | School page notes QS subject to governors’ confirmation |
| King Edward VI Five Ways School | Birmingham | QS 205; priority-score context 224 | No Cat. 5 March offers in 2026 |
| King Edward VI Handsworth School for Girls | Birmingham | QS 205; 2026 Cat. 5 offer context 219 | March offer context from KE Foundation |
| King Edward VI Aston School | Birmingham | QS 205; 2026 Cat. 5 offer context 217 | March offer context from KE Foundation |
| King Edward VI Handsworth Grammar School for Boys | Birmingham | QS 205; 2026 Cat. 5 offer context 216 | March offer context from KE Foundation |
| Newport Girls’ High School | Shropshire / Walsall / Wolverhampton | Minimum QS 192; 2026 out-of-area offer 215 | LAC/PLAC/PP QS 183; September final not yet known |
| Lawrence Sheriff School | Warwickshire | Automatic QS 213 | Minimum waiting-list score 210 |
| Rugby High School | Warwickshire | Automatic QS 213 | Minimum waiting-list score 210 |
| Ashlawn School | Warwickshire | Automatic QS 208 | Minimum waiting-list score 204 |
| Wolverhampton Girls’ High School | Shropshire / Walsall / Wolverhampton | Automatic-place score 208 | PP automatic 203; waiting list 204-208 |
| Haberdashers’ Adams | Shropshire / Walsall / Wolverhampton | Entry requirement 205 | PP entry requirement 195; waiting list in operation |
| Queen Mary’s High School | Shropshire / Walsall / Wolverhampton | Official score context not verified in accessible public text | Check the school admissions page directly |
Important limits
Not an official score
- The raw marks and exact official standardisation are not public.
- The real score can move differently by cohort, paper difficulty, age, provider model, and rounding.
- This tool should be used for practice planning, not admissions decisions.
Not an offer prediction
- Offers can depend on priority area, address, preference order, gender for single-sex schools, and published admissions rules.
- Children on the same score may be ordered using other criteria such as distance.
- Published thresholds can change by year.
Official links
West Midlands Grammar Schools
Open official site. The official portal says one test is used for entry to all West Midlands Grammar Schools.
West Midlands entrance test information
Open official test page. This gives the GL Assessment provider, four test areas, age standardisation, and 50/25/25 weighting.
West Midlands partnership schools
Open official school list. This is the source used for the state grammar school names shown under the calculator result.
Warwickshire grammar school document library
Open official library. This is the main Warwickshire page that lists current and past grammar school admissions documents.
2026 11+ Offer Day leaflet
Open official PDF. This contains the 2026 automatic qualifying and waiting-list scores used on the calculator.
2026 score rankings
Open official ranking page. This points to Warwickshire's published score-ranking spreadsheet.
Birmingham results and offers
Open official KE Foundation page. This gives the Birmingham 2026 qualifying score, priority score, and published cut-off context by school and category.
Shropshire, Walsall and Wolverhampton schools
Newport Girls, Queen Mary's Grammar, Wolverhampton Girls, and Haberdashers' Adams publish the 2026 score context used here.
Entrance Test Familiarisation Guide
Open official guide. This provides official test guidance and example question information.
