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Cambridge STEP 2 Question Practice

Categories Cambridge STEP

A course by

Xie Tao
Xie Tao
Independent Teacher

About Course

Cambridge STEP 2 Question Practice, 7th Edition, a professional, systematic and efficient test-prep product developed for Cambridge STEP maths exam by Mr. Xie Tao. It is one of the UE Oxbridge-Prep series, aiming to help students acheive high grades in STEP 2 and 3. The extremly rich product material includes more than 1000 pages of workbook, reproduced past papers and categorised questions PDFs, with over 300 exemplar questions and 400 practice questions with full solutions available on-line.
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What I will learn?

  • This course covers more than 98% of the topics of STEP specification.
  • It is recommended to study 26-30 lectures in the pure mathematics part, 4-5 lectures in the mechanics part or the statistics part.
  • Minimum learning time recommended is 240 hours (more than 7 months).

Course Curriculum

01 Logic (Demo)
• understand the term ‘statement’ • know truth tables • understand the terms ‘necessary and sufficient’ and ‘if and only if’ • master the procedures of deductive reasoning

  • Exercises E01
  • Practices P01
  • Supplements S01

02 Counting

03 Primes and Factors

04 Divisbility

05 Mathematical Proofs (I)

06 Mathematical Proofs (II)

07 Algebraic Manipulations

08 Solving Equations

09 Simultaneous Equations

10 Roots of Equations

11 Inequalities

12 Polynomials

13 Functions and Their Graphs

14 Curve Sketching

15 Trigonometric Identities (I)

16 Trigonometric Identities (II)

17 Trigonometric Equations

18 Inverse Trigonometric Functions

19 Binomial Expansion

20 Sequences

21 Series

22 Series and Trigonometry

23 Further Summation

24 Integration (I)

25 Integration (II)

26 Integration (III)

27 Integration (IV)

28 Differential Equations

29 Complex Numbers

30 Vectors and Matrices

31 Plane Geometry*

32 Coordinate Geometry*

33 Static Equilibrium*

34 Kinematics*

35 Dynamics*

36 Hooke’s Law and Energy*

37 Momentum and Collisions*

38 Calculating Probabilities

39 Random Variables*

40 Probability Density Functions*

41 Probability Distributions*

42 Games and Strategies*

Material Includes

  • 300+ exemplar questions and 400+ practice questions
  • STEP 2 All-in-One Workbook PDF
  • STEP 2 Past Papers (1987-2023) PDF + On-line Edition
  • STEP 2 Categorised Questions (2024 Edition) PDF + On-line Edition
  • Full on-line solutions to all questions


  • Completion of A Level Mathematics or equivalent high school mathematics course is required.
  • Preparation of competition maths at high school level is preferred.

Target Audience

  • Students applying for Mathematics or Computer Sciences courses at Cambridge, Oxford, and Imperial College London.
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