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SubjectsSubject

Mathematics

Algebra, geometry, open questions

Exam content

Algebra32%

Geometry24%

Functions and graphs20%

Probability and statistics12%

Open questions12%

The shares are approximate question distributions — they vary slightly between sessions.

Format

Questions: 45 (35 closed + 10 open)
Time: 150 minutes
Open questions: Yes
Calculator: Not allowed

How a score becomes a grade →

Syllabus

Every topic from the exam specification, from simple to advanced.

The school curriculum and the National Certificate specification — exam preparation starts here.

01Natural numbers and operations20 min
02Divisibility rules, GCD and LCM25 min
03Prime and composite numbers20 min
04Common and decimal fractions30 min
05Ratio and proportion30 min
06Percentages and percentage problems30 min
07Integers and absolute value25 min
08Rational and irrational numbers25 min
09Complex numbers30 min
10Powers and their properties25 min
11Square roots and nth roots30 min
12Operations with polynomials30 min
13Special product formulas30 min
14Factorisation30 min
15Simplifying rational expressions30 min
16Linear equations25 min
17Quadratic equations and Vieta's formulas35 min
18Systems of equations35 min
19Inequalities and their systems35 min
20Irrational equations30 min
21Exponential equations and inequalities35 min
22Logarithms and logarithmic equations35 min
23Arithmetic and geometric progressions30 min
24Functions, domain and range25 min
25Linear functions and their graphs25 min
26Quadratic functions and the parabola35 min
27Hyperbola, root and absolute-value functions30 min
28Parity, monotonicity, periodicity30 min
29Angle measures and trigonometric ratios30 min
30Trigonometric identities35 min
31Sum, difference and double-angle formulas35 min
32Trigonometric equations35 min
33Points, lines and angles25 min
34Triangles and their elements35 min
35Congruence and similarity of triangles30 min
36The Pythagorean theorem30 min
37The laws of sines and cosines30 min
38Quadrilaterals30 min
39Polygons25 min
40Circles and discs30 min
41Areas of plane figures35 min
42Vectors and coordinates30 min
43Lines and planes in space35 min
44Prisms, parallelepipeds and pyramids35 min
45Cylinders, cones and spheres35 min
46Volumes and surface areas35 min
47Sets and mathematical logic25 min
48Basics of combinatorics30 min
49Basics of probability30 min
50Statistics and data analysis25 min
51Mathematical modelling30 min
52Derivatives and their applications40 min
53Indefinite and definite integrals40 min
54Limits of sequences and functions35 min

Materials

Full library →

SummaryAlgebra: a short summary of the whole coursePowers and roots, logarithms, progressions and systems of equations — everything the exam asks, in 24 pages.

Formula sheetMaths formulas — on a single sheetNo data sheet is given in the exam. The 80 most-used formulas, grouped by topic.

TestMathematics — full test No. 1Like the closed part of the exam: 35 questions. The official exam adds 10 open tasks. A predicted grade at the end.

35 questions · 140 minutes

Other subjects

Physics Chemistry Biology History Geography Native language and literature Russian language and literature Law English German

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