Math Program

From counting to calculus and beyond, the Kumon Math Worksheets enable students to progress all the way up through high school-level math.

02:47

Watch Emily’s progression through the Kumon Math Program.

Benefits of the Kumon Math Program

Kumon’s assignments progress in small steps to build all of the critical skills needed to study high school-level calculus. Each worksheet not only covers specific concepts, but also helps students develop mental calculation and reasoning skills and improve their problem-solving techniques.

The Kumon Math Program:

Kumon Math Worksheets

Download Math Study Levels Chart

1 of 22

Level 7A

Counting to 10

Students learn to read and recite numbers up to 10, count objects and recognize patterns of up to 10 dots.

Enlarge

2 of 22

Level 6A

Counting to 30

Students learn to read and recite numbers up to 30, count objects and recognize patterns of up to 20 dots.

Enlarge

3 of 22

Level 5A

Line Drawing, Number Reciting

Students develop pencil control skills through line drawing exercises and number puzzles, beginning with short lines and advancing to long curved lines. This develops fine motor skills needed to trace and write numbers independently while improving number reciting skills. Students also develop their concentration ability as they continue learning to recite numbers.

Enlarge

4 of 22

Level 4A

Reciting & Writing Numbers to 50

Students deepen their understanding of the number sequence through number reading and writing exercises in number tables, number boards, and complete-the-sequence problems. By the end of the level, students learn to write numbers up to 50 and read numbers up to 100.

Enlarge

5 of 22

Level 3A

Numbers up to 120, Adding up to 3

Students continue to enhance their understanding of the sequence of numbers as well as the number-writing skills that they developed in the previous level. Being introduced to addition, students master +1, +2, through to +3 individually. Students are challenged to answer random addition questions from +1 to +3.

Enlarge

6 of 22

Level 2A

Adding up to 10

Students further develop basic mental calculation skills in addition through a sequential study of adding 4 through adding 10. Students should master the contents of this level for smooth progress in subsequent levels. This level aims to develop the concentration ability and work skills necessary for higher level study.

Enlarge

7 of 22

Level A

Horizontal Addition, Subtraction from Numbers up to 20

Students study horizontal addition with larger numbers. Their addition skills will be strengthened before advancing to the horizontal subtraction exercises of this level. This level aims to develop mental calculations, while improving students’ concentration ability and their work skills.

Enlarge

8 of 22

Level B

Vertical Addition & Subtraction

Students learn vertical addition and subtraction, and encounter word problems. Students build advanced mental calculation skills as they "carry" in addition questions and "borrow" in questions involving subtraction. Understanding and mastering these concepts reduces errors in the future with multiplication and division.

Enlarge

9 of 22

Level C

Multiplication, Division

Students study the multiplication tables up to 9. They continue by solving exercises up to 3 or more digits multiplied by 1 digit. Once multiplication is mastered, students begin studying division up to 3 digits divided by 1 digit.

Enlarge

10 of 22

Level D

Long Multiplication & Division, Introduction to Fractions

Students further develop the multiplication and division skills they acquired in the previous level by studying double-digit multiplication and long division. Students also become familiar with fractions and learn to reduce using the Greatest Common Factor.

Enlarge

11 of 22

Level E

Fractions

Students learn to add, subtract, multiply, and divide fractions. Students also learn basic fraction/decimal conversions.

Enlarge

12 of 22

Level F

Four Operations, Decimals

Students use the order of operations to continue performing calculations with fractions and decimals.

Enlarge

13 of 22

Level G

Positive/Negative Numbers, Introduction to Algebra

Students use the four operations on positive and negative numbers, simplify algebraic expressions, and solve linear equations in one variable.

Enlarge

14 of 22

Level H

Linear Equations, Inequalities & Graphing

Students learn to solve simultaneous linear equations in two to four variables. Concepts of numerical and algebraic value are strengthened. Students are introduced to transforming equations, inequalities, functions and graphs.

Enlarge

15 of 22

Level I

Quadratic Equations, Factorization, Square Roots

Students further develop their algebraic skills through the study of quadratic equations, the multiplication of polynomials, factorization, calculation with square roots, and the Pythagorean Theorem.

Enlarge

16 of 22

Level J

Advanced Algebra

Students are introduced to advanced factoring methods, complex numbers, the discriminant, and the Factor and Remainder theorems. Students conduct proofs of algebraic equalities and inequalities.

Enlarge

17 of 22

Level K

Functions—Quadratic, Fractional, Irrational, Exponential

After a thorough study of quadratic functions, students are introduced to various types of functions and their corresponding graphs. These functions include higher degree, fractional, irrational, and exponential. The skills developed here will help ease students into studying calculus.

Enlarge

18 of 22

Level L

Logarithms, Calculus

Students begin by studying logarithmic functions. Then, students are led into the beginning of calculus, studying basic differentiation and integration. Students continue with an analysis of the applications of integration, including areas, volumes, velocity and distance.

Enlarge

19 of 22

Level M

Trigonometry, Addition Theorem, Circles

Students begin by studying the basics of trigonometric functions, followed by graphing trigonometric functions. Students also learn and use the formulas of the Addition Theorem. Finally, students study the equations of straight lines, circles, and tangent lines of circles.

Enlarge

20 of 22

Level N

Loci, Sequences and Series, Limits, Differentiation

Students begin by studying loci and quadratic inequalities. They then study arithmetic, geometric, infinite and other various types of sequences and series. Students continue by studying limits of functions and continuity and the basics of differentiation.

Enlarge

21 of 22

Level O

Advanced Differentiation, Integration, Differential Equations

Students study advanced differentiation and applications of differential calculus. They continue with an in-depth study of advanced integration and its applications. Finally, students study differential equations.

Enlarge

22 of 22

Level X

Triangles, Vectors, Matrices, Probability, Statistics

Students can choose to study elective topics from triangles, vectors, matrices, mapping and transformations, probability and statistics.

Enlarge

Level 7A: Counting to 10

Level 6A: Counting to 30

Level 5A: Line Drawing, Number Reciting

Level 4A: Reciting & Writing Numbers to 50

Level 3A: Numbers up to 120, Adding up to 3

Level 2A: Adding up to 10

Level A: Horizontal Addition, Subtraction from Numbers up to 20

Level B: Vertical Addition & Subtraction

Level C: Multiplication, Division

Level D: Long Multiplication & Division, Introduction to Fractions

Level E: Fractions

Level F: Four Operations, Decimals

Level G: Positive/Negative Numbers, Introduction to Algebra

Level H: Linear Equations, Inequalities & Graphing

Level I: Quadratic Equations, Factorization, Square Roots

Level J: Advanced Algebra

Level K: Functions—Quadratic, Fractional, Irrational, Exponential

Level L: Logarithms, Calculus

Level M: Trigonometry, Addition Theorem, Circles

Level N: Loci, Sequences and Series, Limits, Differentiation

Level O: Advanced Differentiation, Integration, Differential Equations

Level X: Triangles, Vectors, Matrices, Probability, Statistics

The Kumon Worksheets are designed to guide students to figure out new concepts on their own by following examples and developing their self-learning ability from the start. Students advance at their own pace and develop strong skills, better study habits, and confidence that can help in the classroom and beyond.

Students do daily assignments that take about 30 minutes per subject, at the Kumon Center and at home, leaving plenty of time for extracurricular activities.