Enrol on your live course for the STEP III exam in June 2024
STEP III course: notes, problems, hints
- This course is for students taking the STEP III exam in June 2024: official information by Cambridge Assessment. Cambridge University usually requires a grade 1 in both STEP II and III.
- How long? 12 weekly topics plus mocks (practice exams), start at any convenient time. Each topic covers 4 multi-step problems with general hints and step-by-step hints.
- All topics are designed from easiest to hardest according to our past experience. However our students may always choose to study the topics in any preferred order.
- Notes (about 14-18 pages on each topic) form a large book of about 183 pages: topic 1 on p. 1-14, solution to homework 1 on p. 15-17, topic 2 from p. 18 etc.
- What's the point if examiners' solutions to past STEP questions are online? Read about the mistake in original Q1 STEP III exam 2007 in this blog post. You may prefer a rigorous training with step-by-step hints and without logical 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. the first homework is Problem 1.4.
- In the extended version of the STEP III course, students submit their solution to one extra problem, your extra homework on Topic 1 is Problem 1.1 or 1.2 or 1.3.
- No deadlines: our students choose to work through the topics in any order and submit their homework when they are ready, any late homework is always marked.
- We mark any long problem as a mini-mock: full mark 20 as in a real STEP paper. The solutions follow step-by-step hints, review common mistakes and useful tips.
- Each mock consists of 8 pure maths problems from the past STEP III exams. All other problems are similar to (and often harder than) STEP III exams 2006-2012.
- 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 8 weeks instead of 16.
- The successful Cambridge candidates gained 75-90% on average for all homework. Even top students sometimes receive only 60% in one homework for unjustified steps. The highest score in this challenging STEP III course across all years is 90%.
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STEP III course programme
- Introductory level of
STEP III
- 1. Polynomial equations
- 2. Recurrence relations
- 3. Functions with parameters
- 4. Trigonometry and geometry
- Intermediate level of
STEP III
- 5. Infinite numerical series
- 6. Infinite sums of functions
- 7. Applications of integration
- 8. First order differential equations
- Advanced level of
STEP III
- 9. How to find loci on complex plane
- 10. Higher order differential equations
- 11. Hyperbolic functions in integrals
- 12. Hardest geometric problems
- Mock exams in the
STEP III style
- Mocks: 8 pure maths problems from past STEP III exams
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All resources of the STEP III courses
| Year | Notes | Pages | Mocks | Web tutorials |
|---|---|---|---|---|
| 2011 | 28 problems | 120 | 6 problems | - |
| 2012 | 36 problems | 148 | 6 problems | - |
| 2013 | 45 problems | 177 | 6 problems | - |
| 2014 | 45 problems | 177 | 8 problems | - |
| since 2015 | 48 problems | 183 | 2×8 problems | 8×4 quizzes |
The notes are regularly updated by discussing common mistakes.
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STEP III course: prices and discounts
Discounts are offered only for motivated students who can do Problem 1.4 in the sample notes.
Standard version: £450
- notes on all topics: 183 pages
- marking one mock, one homework
problem on every topic 1-12 - 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: £650
- notes on all topics: 183 pages
- marking 2 mocks, 2 homework
problems on each topic 1-12 - 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: £200
- marking two mocks: 2×8 problems
in pure maths from past STEP III - free bonus: 8 tutorials on STEP II:
access until your STEP III exam - fast e-mail support until the exam
with 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 or transfers from your PayPal account. Processing cash and cheques involves extra costs, ask us for details.
- We do not offer printable notes without 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 1.4 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 III course can be split in several parts. For instance, one third may include the first 4 topics plus marking a mock exam at the end.
- 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 II and III sample notes (3 pages, pdf, 119K).
- Try to solve homework Problem 1.4 without using our hints.
- If needed, look at the general hints on the problem, try again.
- If you are still stuck, use the step-by-step hints in the notes.
- If you are still stuck, contact us and we shall e-mail extra hints.
- Scan your script in pdf or use a photo camera to produce jpg files.
- E-mail us homework Problem 1.4 and 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 the 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.
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