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Math · Grade 8 · Russian curriculum

Grade 8 math with an AI tutor

Grade 8 is quadratic equations, square roots, inequalities and similar triangles. After this year the OGE exam is just one step away, and topics left with gaps start to show on every test.

Scope of preparation

How much material is behind grade 8

Algebra pulls far ahead — 153 solution methods, half of the year’s entire curriculum. Geometry doubles compared with grade 7, and coordinates appear.

351
solution methods
104
distinct skills
2,457
worked examples
161
common mistakes the system recognizes

The numbers are counted across the topics available in grade 8: the year’s curriculum plus everything it builds on. A solution method can belong to several sections at once, so the section values should not be added up into a total.

  • Algebra

    153 methods

    expressions, equations, inequalities, transforming expressions

  • Geometry

    61 methods

    shapes, areas, congruence and similarity criteria, proofs

  • Functions

    44 methods

    graphs, properties, reading a relationship from a picture

  • Arithmetic

    37 methods

    percentages, fractions, proportions, motion and work problems

  • Combinatorics and probability

    28 methods

    listing all the options, the probability of an event

  • Numbers and structures

    13 methods

    divisibility, fractions, exponents, properties of numbers

  • Statistics

    12 methods

    tables, charts, the mean

  • Analytic geometry

    10 methods

    coordinates, vectors, distances

  • Mathematical foundations

    2 methods

    the logic of statements and what counts as a proof

This year’s topics

Topics covered in grade 8

29 topics are introduced in grade 8 itself. Each one builds on what came before — that is why the count above shows 351 solution methods: it also includes the necessary foundation from earlier years.

  • Real numbers
  • Principal square root
  • Properties of the principal square root
  • Simplifying expressions with square roots
  • Powers with integer exponents
  • Scientific notation
  • Quadratic trinomials
  • Quadratic equations
  • Rational equations
  • Dividing polynomials
  • Multiplying and dividing rational expressions
  • Adding and subtracting rational expressions
  • Numerical inequalities and their properties
  • Linear inequalities
  • Quadratic inequalities
  • Systems of inequalities in one variable
  • Systems of linear equations in two variables
  • A function and its properties (analyzing the graph)
  • Domain and monotonicity of a function
  • Radical functions
  • Inverse variation (the function y = k/x)
  • Cartesian coordinates
  • The Pythagorean theorem
  • Right triangles: sine, cosine and tangent of an acute angle
  • Similarity
  • Area of a triangle
  • Quadrilaterals: parallelogram, rhombus, rectangle, trapezoid
  • Circles: parts, angles, arcs and chords
  • Inscribed and circumscribed circles

The list comes from the platform’s knowledge base rather than being written for the website: the lessons, which are in Russian, follow these same topics.

You can learn the definitions and rules from these topics in the free “Build the Definition” study tool (in Russian).

What it costs

Two ways to study

Base helps with the current school curriculum; Exam adds preparation for the OGE and EGE — Russia’s state exams after grades 9 and 11.

StudyNinja Base

For everyday schoolwork

₽2,490/mo

per child

  • It’s clear what to do right now
  • A lesson is 10 minutes and works on a phone
  • Explained in the way that makes sense to you
  • You can see how many steps are left to your goal
Start for free

First two weeks free

StudyNinja Exam

When the OGE or EGE exam is ahead

₽3,990/mo

per child

  • Everything in Base
  • Walkthroughs of problems from real OGE and EGE papers
  • You can see the score you’re heading for
  • It’s clear which topics are pulling your result down
Start for free

First two weeks free

The subscription can pay for itself: for everyone who subscribes through your link, you get back 15% of what they pay. How Invite & Earn works

Lessons, exercises and the tutor’s explanations on the platform are in Russian and follow the Russian school curriculum. The platform interface is available in English.

Questions about grade 8 math

Almost never with quadratic equations themselves. They build on the square root, factoring and the special product formulas from grade 7. The knowledge check will show which of these supports has given way and will start from it.

Start with a knowledge check

It shows which topics are holding the student back in grade 8 — including those left over from earlier years — and builds a plan around exactly those.