STEP Maths Exams: A Complete Guide

Are you a high school student aiming for top-tier universities like Cambridge or Warwick? If so, you've probably heard of the STEP Maths exams. But what exactly are these exams, and why are they so important? In this guide, we’ll break down everything you need to know about the STEP Maths exams, helping you understand their structure, content, and significance in university admissions.

What topics are on the STEP exam?

The STEP (Sixth Term Examination Papers) Maths exam covers a wide range of advanced mathematical topics, reflecting the depth and breadth of A-Level Maths, A-Level Further Maths and IB Maths syllabi. The questions are designed to test problem-solving skills, mathematical reasoning, and the ability to think creatively under pressure. Key topics include:

• Algebra and Functions: Quadratics, polynomials, sequences, and series.
• Geometry and Trigonometry: Coordinate geometry, vectors, and trigonometric identities.
• Calculus: Differentiation and integration, including applications to rates of change and areas under curves.
• Probability and Statistics: Probability theory, distributions, and hypothesis testing.
• Mechanics: Kinematics, dynamics, and statics.

According to experts, the questions often require a deep understanding of these topics, going beyond standard textbook exercises. In fact, a study by the University of Cambridge revealed that only 33% of students typically achieve a grade 1 or higher on the STEP papers, underscoring the exam's rigorous nature. Engaging with past papers and targeted practice can significantly enhance your problem-solving abilities and boost your performance.

What is the STEP Exam Structure?

The STEP exam consists of three papers: STEP 1 (not offered anymore), STEP 2, and STEP 3, each designed to test a candidate’s mathematical prowess at increasing levels of difficulty. Each paper lasts for three hours and contains 11-12 questions. However, candidates are only required to answer six questions per paper, allowing them to choose the problems they feel most confident in tackling.

The structure of each paper is as follows from the STEP specification:

Table showing the STEP Maths exam structure

A distinctive feature of the STEP papers is their open-ended questions, which demand deep analytical skills and creative problem-solving abilities. According to the University of Cambridge, the average mark for STEP 2 and STEP 3 in 2021 was around 50%, reflecting the challenging nature of the exam. This rigorous structure ensures that only the most proficient students can achieve top grades, making STEP a true test of mathematical excellence.

Differences Between STEP 1, STEP 2, and STEP 3

The three STEP papers, while similar in format, differ significantly in terms of difficulty and content. Understanding these differences is crucial for effective preparation.

STEP 2:

• Target Areas: Builds on the STEP 1 syllabus and includes additional topics from AS-Level Further Mathematics.
• Content: Covers advanced algebra, further calculus, complex numbers, and probability.
• Difficulty: Requires a deeper understanding and more advanced problem-solving skills.
• Example Topics: Matrices, complex numbers, advanced trigonometric identities, series expansions, and probability distributions.

STEP 3:

• Target Audience: The most difficult of the three, STEP 3 encompasses the entire A-Level Further Mathematics syllabus.
• Content: Tests students on advanced topics and demands high-level analytical and creative thinking.
• Difficulty: Tests students on the most complex areas of mathematics.
• Example Topics: Hyperbolic functions, differential equations, advanced vectors, group theory, and further mechanics.

Sample Questions for STEP Maths Papers

Practicing with sample questions is a crucial part of preparing for the STEP Maths exam. These questions give you a feel for the types of problems you will encounter and help you develop the problem-solving skills needed to succeed.

Here are some sample questions to get you started:

STEP 2 Section A: Pure Maths Question

STEP 2 Section B: Mechanics Question

STEP 2 Section C: Probability and Statistics Question

STEP 3 Section A: Pure Maths Question

STEP 3 Section B: Mechanics Question

STEP 3 Section C: Probability and Statistics Question

These questions are designed to test a range of mathematical skills, from algebra and calculus to more advanced topics like matrices and differential equations. Working through these examples and understanding the solutions will help you develop the analytical and creative thinking needed for the STEP exam. Make sure to practice regularly and seek feedback to improve your performance.

Is the STEP hard?

The STEP exam is widely regarded as one of the most challenging pre-university mathematics assessments. Its difficulty lies not only in the advanced level of mathematical concepts tested but also in the unique problem-solving skills it requires. According to the University of Cambridge, fewer than 50% of candidates typically achieve a grade 2 or higher, highlighting the exam's rigorous nature.

A-Level tutors and IB tutors point out several factors contribute to the STEP's difficulty:

• Complex Problem Solving: Questions are designed to test deep analytical and creative thinking.
• Time Pressure: With only three hours to solve six problems, time management is crucial.
• Advanced Content: The syllabus covers A-Level and Further Mathematics, including topics often not fully covered in standard coursework.

Pie chart showing the pass rate of STEP Maths 2

Pie chart showing the pass rate of STEP Maths 3

Experts suggest that thorough preparation, including extensive practice with past papers, is essential for success. The STEP tests not just knowledge but the ability to apply that knowledge in unfamiliar contexts, making it a true measure of mathematical potential.

STEP Maths exam dates

The STEP Maths exams are typically held in June each year, coinciding with the UK exam season. This scheduling allows students to prepare for the STEP alongside their A-Level or IB Diploma Programme exams. For 2024, the dates are:

Image showing the STEP Maths exam timeline

Registration for the exams usually opens in January and closes in April. Missing the registration deadline can mean losing out on a crucial opportunity to apply to top universities. According to the University of Cambridge, early preparation and timely registration significantly improve a candidate's chances of success. As one expert maths tutor recommends, "Planning your revision schedule around the STEP dates ensures you have adequate time to cover all necessary topics and practice effectively."

How to Register for the STEP?

Registering for the STEP exam involves a few straightforward steps, but it's crucial to follow them carefully to ensure a smooth process. Registration typically opens in January and closes in late April. Here’s a step-by-step guide to registering for the STEP:

• Find a Test Centre: You must take the test at a centre that is authorised to run STEP. If you are not able to take the test at school or college, you need to find an authorised open test centre. You may use the OCR's Find a Test Centre tool to search for the nearest test centre.
• School or College Registration: If your school or college is not already registered as a centre, they can apply to become a test centre. Ask the exams officer at your school/college/test centre to register you and give you your candidate entry number as proof that your registration is complete.
• Provide Required Information: You must provide your centre with the following information:
  • Your name, gender, date of birth, and UCAS number exactly as entered on your UCAS application.
  • The name of your university/ies, course/s, and course code/s.
  • Details of any access arrangements you require, along with evidence to support your request.

A-Level Maths tutors advise that registering early helps avoid last-minute issues and allows more time to focus on preparation. Early registration not only secures your spot but also gives you peace of mind to concentrate on your studies and practice.

STEP Scoring and Results

The STEP exam is scored based on the six best answers from each paper, with each question marked out of 20. The grades awarded range from S (Outstanding) to U (Unclassified), reflecting a candidate's performance in relation to their peers. The specific grading scale is as follows:

Table showing the STEP grades

Results are typically released in mid-August, coinciding with A-Level results. According to STEP tutors, universities use STEP results to distinguish between candidates with strong mathematical abilities, making it a crucial component of the admissions process. STEP results provide a reliable measure of a student's mathematical potential and readiness for university-level study."

Last year's STEP scores

The following scores illustrate the exam’s difficulty and the high level of proficiency required to achieve top grades:

Scores Distribution of STEP Maths 2

Scores Distribution of STEP Maths 3

How much does STEP Maths exam cost?

The cost of taking the STEP Maths exam can vary depending on several factors, including your location and the test centre. As of 2024, the standard fee for each STEP paper is £93. However, if you are taking the exam outside the UK or through an independent test centre, additional administrative fees may apply.

• UK Students: Standard fee of around £93 per paper.
• International Students: Additional fees may apply, varying by country and test centre.
• School/College Registration: Schools may charge an administrative fee for handling the registration process.

Table showing the STEP exam fees

It's important to budget for these costs early, especially if you plan to take more than one paper. According to Cambridge Assessment Admissions Testing, some students may be eligible for financial assistance or fee waivers, depending on their circumstances. Expert advice suggests checking with your school or the test centre to understand the full cost and any available support. Understanding the costs involved and seeking financial help if needed can ensure you focus on preparing for the exam without undue stress.

Which universities require the STEP Maths exam?

Several top UK universities require or recommend the STEP Maths exam for admission to their mathematics and related courses. These institutions use STEP scores to assess candidates' problem-solving abilities and readiness for university-level study. Key universities include:

• University of Cambridge: Almost all mathematics-related conditional offers include STEP requirements.
• Imperial College London: Requires STEP if the applicant missed the MAT deadline or had a borderline MAT result.
• University of Warwick: Offers reduced conditional offers if STEP is taken.
• King's College London: Requires STEP if the applicant has only an AS-level in maths instead of a full A-level.
• University College London (UCL): Provides alternative offers if STEP is included.
• University of Bath: Recommends STEP and provides alternate offers based on it.
• University of Bristol: Offers reduced conditional offers with STEP.
• Lancaster University: Provides lower conditional offers if a grade 3 in STEP and Further Maths are achieved.
• University of Southampton: Includes STEP as one of the possible additional qualifications for admissions.

According to data from the University of Cambridge, over 70% of successful mathematics applicants have taken the STEP exam, highlighting its significance in the admissions process. Experts note that performing well on the STEP can greatly enhance an applicant's prospects, as it demonstrates advanced mathematical ability and dedication to the subject. As one MAT tutor states, "STEP scores are as critical component as the MAT in distinguishing top candidates for competitive mathematics courses in the most prestigious universities."

What STEP grade do you need for Cambridge?

For admission to the University of Cambridge's Mathematics course, candidates typically need to achieve high grades in the STEP exams. The standard offer usually includes achieving grades 1, 1 in STEP 2 and STEP 3, or occasionally 1, 2, reflecting the exam’s rigorous standards.

• STEP 2: Grade 1 (Very Good) typically required.
• STEP 3: Grade 1 (Very Good) typically required.

The University of Cambridge reports that around 50% of successful applicants achieve these grades. This requirement underscores the importance of thorough preparation and advanced problem-solving skills. Admissions experts advise that candidates should practice extensively with past papers and seek guidance from teachers or Oxbridge tutors. According to an IB Maths tutor, "Achieving the required STEP grades demonstrates not only mathematical proficiency but also the resilience and dedication essential for success in our rigorous academic environment."

How long should you study for STEP?

The amount of time needed to prepare for the STEP exam varies, but experts recommend starting at least six months in advance. This period allows students to thoroughly cover the syllabus and practice extensively with past papers. According to a survey by the University of Cambridge, successful candidates often dedicate around 15-20 hours per week to STEP preparation.

Key preparation strategies include:

• Consistent Practice: Regularly solve past papers and timed practice tests to build familiarity with the exam format.
• Focused Revision: Concentrate on weaker areas and ensure a strong grasp of all topics covered in the syllabus.
• Study Schedule: Develop a structured study plan that allocates specific time slots for different topics and practice sessions.

Experts agree that spreading out your study sessions over several months helps reinforce learning and reduces last-minute stress. Starting early and maintaining a steady study routine is crucial for mastering the challenging concepts tested in STEP. This approach not only improves knowledge retention but also enhances problem-solving skills, critical for success in the exam.

Best resources to prepare for the STEP

How to prepare for the STEP university admissions exam? It requires utilising a variety of high-quality resources. The following are some of the best tools and materials to help you excel:

• TutorChase: Offers STEP past papers and official solutions, providing a crucial understanding of the exam format and question types.
• STEP Support Programme: A free online course from the University of Cambridge, offering structured preparation and guidance.
• Isaac Physics: An online platform with tailored STEP questions and interactive problems to enhance problem-solving skills.
• Books and Guides: Recommended texts such as "Advanced Problems in Mathematics: Preparing for University" by Stephen Siklos offer in-depth practice and strategies.
• Online Tutoring: Private tutoring or coaching sessions can provide personalised feedback and targeted practice.

According to a survey by the University of Cambridge, students who consistently practiced with past papers and used these resources saw a significant improvement in their scores. Expert advice emphasises the importance of starting early and integrating these resources into a regular study schedule. Diverse resources and consistent practice are key to mastering the challenging STEP exam.

What to do on STEP test day?

On the day of the STEP exam, being well-prepared and staying calm is crucial. Here are essential steps to ensure a smooth experience:

• Arrive Early: Aim to arrive at the test centre at least 30 minutes before the exam starts to settle in and reduce anxiety.
• Bring Necessary Items: Ensure you have your identification, exam entry slip, pens, pencils, and an approved calculator.
• Read Instructions Carefully: Take a few minutes to read through the exam instructions and the questions before starting.
• Time Management: Allocate time wisely, aiming to spend around 30 minutes on each question to ensure you answer six questions thoroughly.
• Stay Calm and Focused: If you encounter a challenging question, move on to another and return if time permits.

Experts recommend practicing mindfulness techniques to manage stress. According to Cambridge admissions officers, students who maintain composure and stick to their strategy perform significantly better. Being calm and methodical on test day can make a substantial difference in your overall performance.

What to Do If I Miss My STEP Exam

If you miss your STEP exam due to extenuating circumstances, you can apply for special consideration. Special consideration requests are used to inform institutions that you:

• Suffered temporary illness, injury, or indisposition at the time of the assessment.
• Experienced problems with the administration of the test, such as a fire alarm during the test session or when approved access arrangements were not made available.

Special consideration can be requested by the candidate or by the test centre on the candidate's behalf within five working days of the test date. Requests submitted after this period will be rejected.

How to Apply for Special Consideration:

• Candidates: Use the special consideration form available from the relevant test day for five working days.
• Test Centres: Submit a request on the candidate's behalf using the form on Entries Extranet.

Once the form is submitted, you will receive a confirmation email. Only the University of Cambridge, the University of Warwick, and Imperial College London will be notified. The decision to take the special consideration into account is at the discretion of the universities, and no adjustment will be made to the results.

Conclusion

The STEP Maths exam is a critical component for students aiming to study mathematics at top UK universities. Its challenging nature demands thorough preparation, effective time management, and a deep understanding of advanced mathematical concepts. By utilising the right resources, practicing extensively with past papers, and avoiding common pitfalls, you can significantly enhance your chances of success. Remember, the key to excelling in the STEP exam lies in consistent practice, strategic planning, and staying calm under pressure. Good luck on your journey to mastering the STEP Maths exam!