STEP

The Sixth Term Examination Papers (STEP) are a compulsory condition of all Mathematics offers for the University of Cambridge, and some offers for Imperial College London.

Next Exam
11th and 16th June 2025
Prerequisite knowledge
Full A Level/IB with Further Mathematics
Download our comprehensive STEP Handbook
Includes information about the exam and our advice for effective preparation. Updated for 2025.

About STEP

Widely considered to be the most difficult of all undergraduate mathematics admissions tests, STEP 2 and 3 consist of challenging long-form questions. The questions are designed to stretch students' understandings of mathematical concepts to the limit, and demand sophisticated problem solving techniques. Taken later in the school year than the other admissions tests, success on STEP requires a long-term preparation strategy, and many students have additional support from a specialist STEP preparation course or STEP tutor.

Almost all offers to read Mathematics at the University of Cambridge require a grade 1 in both STEP 2 and STEP 3. Imperial College London requires applicants for most mathematics and computing courses to take STEP if they submit their application after the TMUA registration deadline. STEP may also be required by Imperial if an applicant doesn't take Further Mathematics, or achieves a borderline TMUA result. Some universities (including Durham, Warwick, and UCL) will consider applicants for a reduced offer if they perform adequately on one or both STEP papers, which usually means a grade 2. Many students also choose to take STEP for their own enrichment, as it provides fantastic preparation for undergraduate-level mathematics.

STEP 2 and 3 require students to be familiar with content from both years of A Level Mathematics, plus AS Level Further Mathematics. STEP 3 additionally requires knowledge of second year A Level Further Mathematics.

Format and Content
Key Information
  • STEP 2 and STEP 3 are taken on different days and are each three hours long, with all questions requiring a written response with workings clearly set out.
  • Each paper consists of twelve questions, of which eight are on pure mathematics, two are on statistics/probability, and two are on mechanics. Older papers included an additional statistics/probability question.
  • Students are not expected to attempt all questions, but rather choose up to six to complete, with no restriction on the balance between pure/applied.

The following universities take the STEP into consideration as part of their admissions process:

The Vantage Admissions STEP Preparation Course

Though STEP is the most challenging part of the mathematics admissions process, students can reliably improve their score with rigorous preparation and practice. The Vantage STEP Programme is designed and delivered in its entirety by Vantage founding director, Rowan Wright. Rowan is a trained STEP examiner with over 7 years' experience as a specialist STEP tutor. Benefitting from Rowan's invaluable insight into the nuances of the exam, our comprehensive programme enables students to excel in STEP. Click on the boxes below to learn more about the five components of the programme.

STEP Primer Course

The STEP Primer Course is a pre-recorded course of lessons designed for comprehensive STEP preparation. Authored and delivered by past STEP examiner and specialist tutor Rowan Wright, each session focuses on an important theme or topic that frequently arises in STEP questions. Students are equipped with the knowledge to attempt every question on the 2025 exams - including sections B and C - regardless of the modules selected by their school. There are 14 lessons for STEP 2 and 7 lessons for STEP 3, each lasting 1-2 hours in video form, though students can also study the lesson by using the detailed lesson notes if preferred. Each lesson has an accompanying worksheet of original questions, carefully designed to cover the quirks and difficulties STEP questions pose. Students are encouraged to complete all worksheets, which are estimated to take 1-2 hours each, and review their work with the detailed solutions provided. This ensures mastery of the techniques and concepts taught in each lesson before applying them to past paper questions.

Read more

Mock Exam Marking

Solving a STEP question often requires multiple logical leaps, so students are held to a particularly high standard in terms of the clarity of their written explanation. The style of presentation required for STEP is different from the way students are taught to present their A Level or IB work, so receiving feedback on mock exams is extremely beneficial. In our experience, most students can gain an additional 10-15 marks per paper solely by improving the presentation of their work: this can amount to more than half a grade boundary! Our mock marking service is provided exclusively by Vantage team members who have trained as STEP examiners with Cambridge Assessment. Students receive an accurate estimation of score and detailed, actionable feedback for each submitted mock.

Read more

Past Paper Solutions

The STEP Programme includes solution booklets for all STEP 2 and 3 past papers, 2008-2024, and solution videos for the 2019-2024 papers. The solutions are authored and presented by our founding director, Rowan Wright. In contrast to the official STEP solutions/mark schemes, our solutions show the complete method and any alternative methods to solve each problem. Rather than merely presenting a method that works, Rowan explains how a student can 'come up with' the right ideas and think through a problem systematically. This enables students benefit fully from past paper practice, coming away from each question with a complete understanding and ready to tackle variations on similar concepts in future. Rowan takes care to place past paper questions in context, explaining how ideas might be varied in future questions. The STEP 2 2008 solution booklet is available to view as a sample below.

Read more

Mentoring Sessions

All Vantage students benefit from regular mentoring sessions over the course of their exam preparation, ideally attended along with their parents/guardians. All mentoring sessions are held with our founding director Rowan Wright. These meetings are completely tailored to the student’s specific goals, with the aim of reviewing progress, addressing doubts or concerns, providing motivation, and creating actionable plans to resolve any difficulties. Personalised mentoring enables students to ensure they are staying on track for success and provides vital support over what is often a long process of preparation.

Read more

Office Hours and Email Helpline

All STEP students are invited to attend weekly office hours, hosted by Rowan Wright, which will provide the opportunity for further discussion and exploration of the STEP Primer Course and past papers. Students are invited to submit questions in advance relating to any aspect of the STEP Programme, and encouraged to attend office hours for regular contact with the course director. Office hours will take place on Saturdays, 9-10am GMT, from 8th February until 14th June 2025. Students may also submit questions via the email helpline at any time to receive a quicker response.

Read more

Individual Tuition

Many STEP students opt to take some individual tuition with the STEP preparation course, which is available for an additional hourly fee. It is the most personalised support we offer and ensures that any and all doubts can be addressed, whether they pertain to specific questions or broader topics and concepts. It also provides an opportunity for students to explore questions further and pursue their own interests.

Read more

Our STEP Preparation Programme is enrolling now for 2025. Individual tuition and ad hoc mock marking is available separately upon request. We accept fees upfront or in three interest-free monthly payments.

£1549
STEP Programme

Course Summary

Our comprehensive STEP Programme provides all the support students need to ensure the best chance of success. An abridged version of the course is available for students who are only taking STEP 2, which is reflected in a reduced price of £999.

Includes:
  • Complete access to the STEP Primer Course (14 STEP 2 lessons, 7 STEP 3 lessons), with original worksheets and solutions.
  • Complete access to our past paper solution booklets (2008-2024) and videos (2019-2024).
  • 6 mock exams marked by STEP examiners, including actionable feedback reports.
  • Three 20-minute mentoring sessions with founding director, Rowan Wright.
  • Weekly office hours and email helpline.
  • Ad hoc tuition and additional mock marking available.
Book Now
£80
Mock Exam Marking

Summary

To achieve highly in STEP, students must perfect their style of written presentation and explanation, which can be challenging without close guidance. Receive feedback on your written work from real STEP examiners with our mock marking service.

Includes:
  • One mock marking credit is redeemed for one STEP 2 or STEP 3 marked mock exam paper (6 questions).
  • The mock marking service is provided solely by Vantage team members who have been recent STEP examiners.
  • Students are provided with an accurate score and a feedback report detailing actionable areas for improvement.
  • Suitable for students on our STEP programme who would like additional marked mocks, or as a stand-alone service.
Book Now
£150 /hr
Individual Tuition

Summary

Many STEP students opt for individual tuition as part of their preparation strategy. It provides the important opportunity to explore questions further, develop problem solving technique, and to receive personalised support tailored to your needs.

Includes:
  • STEP tuition with Rowan Wright is available for £150 per hour.
  • Tuition can be used for troubleshooting any concerns with past papers, to fortify weaker topics, or for hands-on training in problem solving.
Book Now

Book a free consultation with our founding director, Rowan Wright, and:

Discuss your university course choices

Determine the most advantageous admissions test combination for your chosen courses

Formulate a personalised preparation strategy and receive actionable advice

Discuss Vantage course options

Hear from our students

"Rowan from Vantage is the real deal, a rare blend of being a sufficiently brilliant mathematician to have a complete, deep and intuitive grasp on the difficult problems set in admissions tests, but also a great teacher who is able to explain the thought process in a way students can understand. I cannot recommend him highly enough."

Achieved 1 in STEP II and S in STEP III