Mathematics for school and university students: theory, problems, calculators online

The site urokmatematiki.ru collects reference materials, formulas, tables, and interactive exercises in mathematics for school and university students. Main sections:

  • arithmetic
  • elementary algebra
  • elementary geometry
  • trigonometry
  • algebra

You can study a branch based on the reference information, or consolidate the knowledge by doing exercises on the corresponding topics.

The website contains reference materials and exercises on the main branches of mathematics: arithmetic, algebra, geometry, trigonometry. You can study theory from the reference information or consolidate knowledge by doing exercises.

Reference information
in mathematics and geometry
Reference information in mathematics and geometry
  • tables
  • formulas
  • geometry
    formulas
Exercises and problems
in mathematics
Exercises and problems in mathematics
  • arithmetic
  • decimals
  • fractions
Solutions
of problems
Solutions in mathematics and geometry
  • calculus
  • derivative
Calculators
and converters
Calculators and converters

    About this site

    The site urokmatematiki.ru was created by Alexey Pavlov, a mathematics teacher. All materials — formulas, tables, problems, and solutions — have been tested in practice while preparing students for the EGE and OGE.

    • Quick facts
    • Tables
    • Formulas
    • Geometry formulas
    • Math theory
    • Arithmetic
    • Decimals
    • Fractions
    • Antiderivative and integral
    • Definite integral
    • Improper integrals
    • Double integrals
    • Triple integrals
    • Line integrals
    • Surface integrals
    • Elements of field theory
    • Bringing under the differential sign
    • Tangent line equations
    • USE profile level
    • USE basic level
    • BSE
    • Calculators
    • Unit converters
    1. Sine values for 30, 45, 60 degrees.
    2. Geometry essentials for 8th grade. Module 1.
    3. Preparation for a geometry test in 8th grade.
    4. Inscribed angle theorem.
    5. Comparison of descent rates for a parachute jump and a jump from a window.
    1. Multiplication table (1 to 10).
    2. How to quickly learn the multiplication table.
    3. Extended multiplication table (1 to 20).
    4. Table of squares (1 to 10).
    5. Table of cubes (1 to 10).
    6. Table of powers (1 to 10).
    7. Table of factorials (1 to 10).
    8. Bradis table (with corrections).
    9. How to use the Bradis table. Visual guide.
    10. Table of sines.
    11. Table of cosines.
    12. Table of tangents.
    13. Table of cotangents.
    14. Table of prime numbers.
    15. Table of trigonometric functions.
    16. Table of function values.
    17. Table of natural logarithms.
    18. Table of decimal logarithms.
    19. Table of logarithms by base.
    1. Abbreviated multiplication formulas (2nd, 3rd, 4th and nth powers).
    2. Formulas and properties of powers.
    3. Formulas and properties of roots.
    4. Formulas and properties of logarithms.
    5. Formulas and properties of arithmetic progression.
    6. Formulas and properties of geometric progression.
    7. Trigonometric formulas.
    8. Inverse trigonometric functions.
    1. Areas of figures.
    2. Volumes of figures.
    3. Perimeters of figures.
    4. Surface areas of figures.
    5. Regular polygon.
    6. Triangle.
    7. Pythagorean theorem.
    1. Natural numbers.
    2. Gaussian method.
    3. Vieta's theorem.
    4. Fermat's Last Theorem.
    5. Number and digit.
    6. Divisibility of numbers.
    7. Decimal numbers.
    8. Classes of numbers.
    9. GCD and LCM.
    10. Rounding numbers.
    11. Prime and composite numbers.
    12. Place values of numbers.
    1. Comparison of two natural numbers.
    2. ➕ Addition of two natural numbers.
    3. ➖ Subtraction of two natural numbers.
    4. ➕➖ Addition and subtraction of two natural numbers.
    5. ➕➖ Addition and subtraction of numbers 1 and 2.
    6. ➕➖ Addition and subtraction of number 3.
    7. ➕➖ Addition and subtraction of numbers 6 and 7.
    8. ➕➖ Addition and subtraction within 10.
    9. ➕➖ Addition and subtraction within 20.
    10. ➕➖ Addition and subtraction within 100.
    11. ➕➖ Addition and subtraction within 1000.
    12. ➕➖ Addition and subtraction of three-digit numbers.
    13. Multiplication table (1 to 10).
    14. ✖️ Multiplication of one-digit and two-digit natural numbers.
    15. ✖️ Multiplication of a three-digit number by a one-digit number.
    16. ✖️ Multiplication of two two-digit natural numbers.
    17. ✖️ Multiplication of two-digit and three-digit natural numbers.
    18. ✖️ Multiplication of two three-digit natural numbers.
    19. ✖️ Multiplication of two natural numbers.
    20. ➗ Division of two natural numbers.
    21. ➕➖✖️➗ Calculations with two natural numbers.
    22. ➕➖✖️➗ Calculations with two numbers.
    23. ➗ Remainder of division of natural numbers.
    24. Greatest common divisor (GCD).
    25. Least common multiple (LCM).
    26. ➗ Divisibility rules for 2.
    27. ➗ Divisibility rules for 3.
    28. ➗ Divisibility rules for 4.
    29. ➗ Divisibility rules for 5.
    30. ➗ Divisibility rules for 6.
    31. ➗ Divisibility rules for 7.
    32. ➗ Divisibility rules for 8.
    33. ➗ Divisibility rules for 9.
    34. ➗ Divisibility rules for 11.
    1. ➕ Addition of decimals.
    2. ➖ Subtraction of decimals.
    3. ➕➖ Addition and subtraction of two decimals.
    4. ➕➖ Addition and subtraction of three decimals.
    5. ✖️ Multiplication of a decimal by a natural number.
    6. ✖️ Multiplication of a decimal by 10, 100, 1000.
    7. ✖️ Multiplication of two decimals.
    8. ✖️ Multiplication of a decimal by 0.1, 0.01 and 0.001.
    9. ➗ Division of a decimal by a natural number.
    10. ➗ Division of a decimal by 10, 100, 1000.
    11. ➗ Division of two decimals.
    12. ➗ Division of a decimal by 0.1, 0.01, 0.001.
    13. Comparison of decimals.
    1. ➕➖ Addition and subtraction of fractions with equal denominators.
    2. Reduction of fractions.
    3. Reducing fractions to the least common denominator.
    4. Converting improper fractions to mixed numbers.
    1. Antiderivative of f(x) = x² cos x³.
    2. Antiderivative of f(x) = sin³ x.
    3. Antiderivative of f(x) = x · e²ˣ.
    4. Antiderivative of f(x) = x · ln 2x.
    5. Antiderivative of f(x) = x · cos 3x.
    6. Antiderivative of f(x) = arccos 3x.
    1. Definite integral (2x+3)/(x²+3x+2).
    2. Definite integral x/(x+1)².
    3. Definite integral 1/(x²−2x+5).
    4. Definite integral ctg³x.
    5. Definite integral cos³x·sin⁴x.
    6. Definite integral x/(1+√(x+1)).
    1. Improper integral arccos(1/x)/(x√x).
    2. Improper integral (√x+x²)/(x²+x³+5).
    3. Improper integral dx/ln²x.
    4. Improper integral arctg(x²/(x+1))/(x²+4).
    1. Mass of a plane figure between y = 8 − x² and y = x + 2.
    2. Area between the parabolas.
    3. Volume of a body under a paraboloid in a cylinder.
    1. Triple integral (x²+y²) in the cylinder x²+y² = −2x.
    2. Mass of a tetrahedron with density ρ = 24xyz.
    3. Triple integral (x²+y²+z²) over a ball.
    1. Line integral x dy − y dx along the parabola y = x³.
    2. Line integral x dy − y dx along a circle.
    3. Line integral z dl / √(x²+y²) along a helix.
    1. Surface integral x dS over a conical surface.
    2. Surface integral z dS over the plane z = 1.
    3. Flux of the second kind over a hemisphere of radius 1.
    4. Flux of the second kind over a paraboloid.
    1. Curl of a vector field.
    2. Divergence of a vector field.
    3. Gradient of a scalar field.
    1. Bringing under the differential sign.
    1. Tangent line equations to a function graph.
    1. Linear equations.
    2. Quadratic equations.
    3. Irrational equations.
    4. Exponential equations.
    5. Logarithmic equations.
    6. Trigonometric equations.
    1. Calculations and transformations.
    2. Equations.
    3. Word problems.
    4. Geometry.
    1. Algebra.
    2. Geometry.
    3. Real-life mathematics.
    1. Logarithm calculator.
    1. Weight and mass converter.
    2. Length and distance converter.
    3. Volume converter.
    4. Area converter.
    5. Speed converter.
    6. Temperature converter.
    7. Time converter.
    8. Pressure converter.
    9. Energy converter.
    10. Power converter.
    11. Angle converter.
    12. Force converter.
    13. Density converter.
    14. Flow rate converter.
    15. Viscosity converter.
    16. Illuminance and luminance converter.
    17. Information unit converter.
    18. Frequency converter.
    19. Electrical quantities converter.