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Math · Grade 10 · Russian curriculum

Grade 10 math with an AI tutor

Grade 10 adds three new layers at once: trigonometry, introductory calculus and solid geometry. Each of them builds on grade 9 algebra — if a hole was left there, it will show up here.

Scope of preparation

How much material is behind grade 10

Calculus appears for the first time (51 solution methods), and trigonometry grows from 6 methods to 48. By curriculum volume, grade 10 is the densest of all: 442 solution methods.

442
solution methods
99
distinct skills
3,094
worked examples
194
common mistakes the system recognizes

The numbers are counted across the topics available in grade 10: 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

    100 methods

    expressions, equations, inequalities, transforming expressions

  • Functions

    62 methods

    graphs, properties, reading a relationship from a picture

  • Geometry

    53 methods

    shapes, areas, congruence and similarity criteria, proofs

  • Calculus

    51 methods

    the derivative, maximum and minimum values, the antiderivative

  • Trigonometry

    48 methods

    sine, cosine, tangent, identities and equations

  • Analytic geometry

    41 methods

    coordinates, vectors, distances

  • Arithmetic

    39 methods

    percentages, fractions, proportions, motion and work problems

  • Combinatorics and probability

    33 methods

    listing all the options, the probability of an event

  • Statistics

    12 methods

    tables, charts, the mean

  • Numbers and structures

    7 methods

    divisibility, fractions, exponents, properties of numbers

  • Mathematical foundations

    5 methods

    the logic of statements and what counts as a proof

This year’s topics

Topics covered in grade 10

26 topics are introduced in grade 10 itself. Each one builds on what came before — that is why the count above shows 442 solution methods: it also includes the necessary foundation from earlier years.

  • Trigonometric functions
  • Trigonometric formulas
  • Trigonometric equations
  • Trigonometric inequalities
  • Exponential functions
  • Exponential equations
  • Exponential inequalities
  • Logarithmic functions
  • Logarithmic inequalities
  • Radical equations
  • Radical inequalities
  • Equivalent equations and inequalities
  • The derivative
  • Differentiation rules
  • Geometric interpretation of the derivative
  • Analyzing functions
  • Lines and planes in space: parallelism, perpendicularity, angles
  • Volumes of polyhedra
  • Volumes of solids of revolution
  • Surface areas of polyhedra
  • Surface areas of solids of revolution
  • Combinations of solids and Cavalieri’s principle
  • Problems with a parameter
  • Inequalities in two variables
  • Conditional and total probability
  • Financial math: loans, deposits and payments

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 10 math

By volume — yes. Grade 10 has 442 solution methods versus 370 in grade 11: three new layers at once — trigonometry, introductory calculus and solid geometry. Grade 11 adds less that is new but requires bringing everything together.

Start with a knowledge check

It shows which topics are holding the student back in grade 10 — including those left over from earlier years — and builds a plan around exactly those.