16+ Sixth Form Maths Entrance Exam Tuition, Papers and Solutions

“Tom has been tutoring my daughter Maths to prepare her for 16+ exams of King’s College School Wimbledon and Sevenoaks School. Tom is an exceptional tutor with real passion in teaching with a customised approach for his students. He takes the time to understand the strengths and development needs of his students diligently and help them to achieve their goals with great care. He regularly gives very valuable and actionable feedback for continous improvement. Thanks to Tom, my daughter has got acceptance from both schools (one with academic scholarship). Thank you so much Tom!”

Entry into Sixth Form at premier independent schools demands a deep, intuitive mastery of relevant GCSE material as well as broader in-depth problem-solving skills and quick adaptation to novel concepts. I work with students to build top-tier exam technique, sharpen mathematical reasoning, and help them stand out in competitive Sixth Form admissions. A range of 16+ past papers and UKMT materials are suitable to help with preparation. I have very extensive experience of working with these resources and helping students. As an Oxford MMath graduate (1st), a qualified teacher and with 13+ years of tutoring experience I am perfectly placed to help my students succeed. Please see here for more information about me.

Proven 16+ admissions success and other relevant results

  • 16+ Sixth Form Entry Offers & Scholarships:
    • Sevenoaks School (Scholarship awarded)
    • St Paul’s Boys’ School
    • Tonbridge School
    • King’s College School (KCS) Wimbledon
  • GCSE & Further Maths Achievements:
    • Summer 2026: 3 students achieved double Grade 9s (Grade 9 GCSE Maths and Grade 9 AQA Level 2 Further Maths GCSE) and one achieved a highly commendable grade 7.
  • A-Level Progression: 2026 students achieved A* and A grades.

Book 16+ entrance prep and/or GCSE tuition

I can help your child navigate 16+ maths for any school and/or assist with GCSE preparation. Please contact me for further information.

Looking for tuition for other levels? I offer tuition for all school ages – Years 1 to 13.

16+ past papers and answer keys

Below is a comprehensive collection of specimen and past 16+ mathematics entrance papers from leading UK schools, alongside answer sheets I have authored for the purposes of marking my students’ work. Since the answer sheets are primarily for marking purposes they tend not to have working but please contact me if you need help understanding any particular problem.

Also recommended for 16+ preparation:

Benenden Sixth-Form-Maths-2018

Benenden Sixth-Form-Maths-2018 solutions

Birkdale School Sixth form maths

Birkdale School Sixth form maths exam solutions

Dulwich-College-6th-Form-Maths-Sample

Dulwich-College-6th-Form-Maths-Sample solutions

Emmanuel_16_Specimen_Maths_paper

Emmanuel_16_Specimen_Maths_paper solutions

Haileybury-Maths-Lower-Sixth-Entrance-Exam-Sample-paper-2019

Haileybury-Maths-Lower-Sixth-Entrance-Exam-Sample-paper-2019 solutions

King’s Maths School specimen questions

King’s Maths School specimen questions solutions (by KMS)

King’s Canterbury 2014

King’s Canterbury 2014 solutions

King’s Canterbury 2015

King’s Canterbury 2015 solutions

Latymer 16_plus_specimen

Latymer 16_plus_specimen solutions

Magdalen College 16+

Magdalen College 16+ solutions

Rugby paper 1 with answers

Rugby paper 2 with answers

Sevenoaks 2021

Sevenoaks 2021 solutions

Sevenoaks 2022

Sevenoaks 2022 solutions

Sevenoaks 2023

Sevenoaks 2023 solutions

Shrewsbury-School-6th-Form-Maths-2014-2015

Shrewsbury-School-6th-Form-Maths-2014-2015 solutions

Shrewsbury Maths Entrance Exam 2018 (2018:2019 Entry)

Shrewsbury Maths Entrance Exam 2018 (2018:2019 Entry) solutions

Shrewsbury Maths Entrance Exam 2018 (2018:2019 Entry) solutions for B3 part d

Shrewsbury Maths Entrance Exam 2018 (2018:2019 Entry) solutions student copy (limited working)

Shrewsbury 2021

Shrewsbury 2021 solutions

Shrewsbury 2022

Shrewsbury 2022 solutions

St Edward’s 2013 maths

St Edward’s 2013 maths solutions

St-Edwards-Oxford-6th-Form-Maths-2015 for 2016 entry

St-Edwards-Oxford-6th-Form-Maths-2015 for 2016 entry solutions

St Edward’s Oxford 16-Mathematics-2016-for-2017-entry

St Edward’s Oxford 16-Mathematics-2016-for-2017-entry solutions

St Edward’s Oxford Mathematics-16-2018-entry

St Edward’s Oxford Mathematics-16-2018-entry solutions

St Swithuns – Scholarship examination YOE 2011

St Swithuns – Scholarship examination YOE 2011 solutions

St Swithuns – Scholarship examination YOE 2011 question 19

St Swithuns – Scholarship examination YOE 2011 solution question 20

St Swithuns 2022

St Swithuns 2022 solutions

Tonbridge section A only

Tonbridge MathsYear12SpecimenA

Tonbridge MathsYear12SpecimenA solutions

Tonbridge MathsYear12SpecimenB

Tonbridge MathsYear12SpecimenB solutions

Tonbridge A additional questions by TL based on Specimen A

Tonbridge A additional questions solutions

Tonbridge specimen A further additional questions by TL based on Specimen A (no solutions)

Westminster sample 1 for paper 1

Westminster sample 1 for paper 1 solutions

Westminster sample 1 for paper 1 comments

Westminster sample 2 for paper 1

Westminster sample 2 for paper 1 solutions

Westminster sample 2 for paper 1 comments

Westminster answer sheet

16+ papers without solutions as yet

Benenden Sixth Form Entrance 2021 Maths Exam

Harris-Westminster-6th-Form-Maths-Sample-paper

Haileybury 16-maths-Sample from website 2022

King’s Canterbury 2018

King’s Canterbury Sixth-Form_-Maths-2019

Rugby 2024

Shrewsbury 2016

Shrewsbury 2023

St-Edwards-Oxford-6th-Form-Maths-November-2013

St-Edwards-Oxford-6th-Form-Maths-2014

St Edward’s Oxford Maths-16-2015

St-Marys-School-Cambridge-6th-Form-Maths-Sample

Tonbridge 2024

Tonbridge 2024 syllabus