Though the STEP I was discontinued in 2019 according to the Cambridge Assessment, many students still use past STEP I papers for training, hence we keep running the STEP I course. You can be also interested in the STEP II and III courses.
Enrol on your live course based on the STEP I past papers
STEP I course: notes, hints, web tutorials
- How long? 12 weekly topics plus 6 mocks (2 per week), start at any convenient time.
- Each topic covers 3 multi-step problems with general hints and step-by-step hints.
- All topics are designed from easiest to hardest according to the past experience. However our students may always choose to study the topics in any preferred order.
- Notes (about 9-14 pages on each of 12 topics) form a large book of 141 pages, e.g. topic 1 on pages 1-7, solution to homework 1 on p. 8-9, topic 2 from p. 10 and so on.
- STEP I exams 2011-2012 are covered in 16 web tutorials with gradual hints. 6×8 pure maths problems from STEP I 2013-2019 are marked as mocks (practice exams).
- Every web tutorial has 4 quizzes (with randomised parameters) that you can try many times, you will also browse through step-by-step solutions, useful tips and review common mistakes.
- You will always get the next notes with our detailed feedback on your previous homework. You can choose your own pace and may complete the course in 7-8 weeks instead of 15.
- What's the point if examiners' solutions to past STEP questions are on-line? The potential confusion in Q6(ii) STEP I 2007 is explained in the blog post. You may prefer a rigorous training with step-by-step hints and without gaps.
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Marking homework and mock problems
- Homework: one long problem on each topic with our general hints and step-by-step hints given in the notes, e.g. first homework is Problem 1.3.
- In the extended version of the course, students may submit their solution to any extra problem, your extra homework on Topic 1 is Problem 1.1 or 1.2.
- No deadlines: our students choose to work through the topics in any order and submit their homework when they are ready, we always mark any late homework.
- We mark any long problem as a mini-mock: full mark 20 as in a real STEP paper. Our solutions follow step-by-step hints, review common mistakes and useful tips.
- Each mock exam consists of 8 original STEP problems. All training problems in the notes are similar to (not identical, and often harder than) STEP I 2006-2010.
- The successful Warwick candidates gained 65-85% on average for all their homework. Even top students sometimes receive only 60% in one homework for unjustified steps. The highest score in this challenging STEP I course across all years is 88%.
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STEP I course: programme by topics
- Introductory level of
STEP I
- 1. Factors of numbers and polynomials
- 2. Equations with real parameters
- 3. Using trigonometric formulae
- 4. Integer and rational solutions
- Intermediate level of
STEP I
- 5. Combinatorics and inequalities
- 6. Applications of differentiation
- 7. Sketching graphs of functions
- 8. Integrating rational functions
- Advanced level of
STEP I
- 9. Integrating functions with powers
- 10. Solving differential equations
- 11. Two-dimensional geometry
- 12. Three-dimensional geometry
- Mock exams in the
STEP I style
- Mocks 1-6: 8 pure maths problems from STEP I 2013-2018
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All resources of the STEP I courses
| Year | Notes | Pages | Mocks | Web tutorials |
|---|---|---|---|---|
| 2011 | 34 problems | 137 | 6 problems | - |
| 2012 | 34 problems | 137 | 6 problems | 8×4 quizzes |
| 2013 | 34 problems | 137 | 6 problems | 16×4 quizzes |
| 2014 | 36 problems | 140 | 6+8 problems | 16×4 quizzes |
| since 2015 | 36 problems | 141 | 2×8 problems | 16×4 quizzes |
The notes are regularly updated by discussing common mistakes.
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STEP I course: prices and discounts
Discounts are offered only for motivated students who can do Problem 1.3 in the sample notes.
Standard version: £300
- notes on all topics: 141 pages
- marking 1 mock, 1 homework
problem on every topic 1-12 - 16 tutorials on STEP I 2011-2012:
access for one calendar year - fast e-mail support until the exam
+tips & advice during the course - any next course discount: 10%
- UK state schools discount: 20%
- 2+ schoolmates discount: 20%
Extended version: £500
- notes on all topics: 141 pages
- marking 2 mocks, 2 homework
problems on every topic 1-12 - 16 tutorials on STEP I 2011-2012:
access for one calendar year - fast e-mail support until the exam
+tips & advice during the course - any next course discount: 10%
- UK state schools discount: 20%
- 2+ schoolmates discount: 20%
Lite version: £150
- marking 2 mocks: 2×8 problems
in pure maths from past STEP I - 16 tutorials on STEP I 2011-2012:
access until your STEP I exam - fast e-mail support until the exam
for any questions on web tutorials - UK state schools discount: 20%
- 2+ schoolmates discount: 20%
- All prices are valid for commission-free transfers, e.g. bill payments via internet banking. Processing cash, cheques, PayPal invoices will involve extra costs, please ask us for details.
- You can get printable notes only with marking, because past students who chose not to submit their homework were rarely successful. We encourage students to actively learn by writing solutions.
- If you have taken two courses, your discount on any next course is 20% (standard or extended versions).
- Motivated students from UK state schools get the 20% discount: submit Problem 1.3 from the sample notes to qualify. We may ask for a confirmation of your school from your teacher or parent.
- Example: if 2 students from the same UK state school take their 2nd course, the discount for both is 50%.
- Paying in parts (via internet banking): the flexible STEP I course can be split in several parts. For instance, one quarter may include the first 4 topics plus 8 web tutorials on STEP I 2011
- Individual discount for students with financial difficulties are considered, please contact us
- Any questions? Please read FAQ, learn more about Master Maths Llp or contact us
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Sample notes in pdf and how to enrol
STEP I course sample notes (5 pages, pdf, 247K).
- Try to solve our training Problems 1.1, 1.2 without hints.
- If needed, look at the general hints on page 2, try again.
- Then look at the step-by-step hints on page 3 and try again.
- Compare your attempt with our solutions 1.1, 1.2 in the notes.
- Similarly approach homework Problem 1.3, use hints if needed.
- If you are stuck, contact us and we shall e-mail our extra hints.
- Scan your script in pdf or use a photo camera to produce jpg files.
- E-mail your solution to Problem 1.3, we shall mark it for free!
- For new students: create a new account on our login webpage and please use your real name for the email-based self-registration (names are invisible to others and needed only to filter out spammers).
- Try our free web tutorial Beyond Pythagoras' theorem and applications (log in, click on the tutorial, on enrol me in this course in the left menu).
- Complete the payment, get access to all tutorials and receive next notes.