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IOM Syllabus 2022
International Olympiad of Mathematics is conducted by Silverzone for the students from class 1 to 12 across the globe. The syllabus will be based on CBSE/ICSE or any state boards. There might be updates regarding the syllabus in the International Olympiad of Mathematics so students should have an eye on the official website for any updates. We have given the updated IMO Syllabus 2022 on our website.
International Olympiad of Mathematics Syllabus 2022
Tentative chapter-wise marking scheme will help students to perform better in SilverZone Mathematics Olympiads. The actual marks distribution may differ depending on the prerogative of the paper setters concerned.
International Olympiad of Mathematics Syllabus | ||
IOM Syllabus Class 1 | IOM Syllabus Class 5 | IOM Syllabus Class 9 |
IOM Syllabus Class 2 | IOM Syllabus Class 6 | IOM Syllabus Class 10 |
IOM Syllabus Class 3 | IOM Syllabus Class 7 | IOM Syllabus Class 11 |
IOM Syllabus Class 4 | IOM Syllabus Class 8 | IOM Syllabus Class 12 |
IOM Syllabus Class 1
IOM exam includes two sections mathematics and scholar's section for a total of 100 marks. Mathematics section includes the following topics
- Counting numbers
- Operation on numbers
- Time and calendar
- Money
- Measurements
- Geometrical Shapes
- Reasoning and aptitude
IOM exam includes two sections of Mathematics and scholar section and the marks for these sections are given in the table below
Unit |
No. of Questions |
Marks |
Total Marks |
Counting Numbers |
3 |
2.5 |
7.5 |
Operations on Numbers |
10 |
2.5 |
25 |
Time and Calendar |
2 |
2.5 |
5 |
Money |
1 |
2.5 |
2.5 |
Measurement |
3 |
2.5 |
7.5 |
Geometrical Shapes |
5 |
2.5 |
12.5 |
Reasoning and Aptitude |
8 |
2 |
16 |
Scholar’s Zone |
8 |
3 |
24 |
Total |
40 | - | 100 |
IOM Syllabus Class 2
IOM exam includes two sections mathematics and scholar's section for a total of 100 marks. Mathematics section includes the following topics
- Counting Numbers: Ones, Tens, Hundreds and Thousands
- Operations on Numbers: Addition, Subtraction, Multiplication, Division, Comparison
- Time and Calendar
- Measurements
- Money
- Geometrical Shapes
- Reasoning and Aptitude
IOM exam includes two sections of Mathematics and scholar section and the marks for these sections are given in the table below
Unit |
No. of Questions |
Marks |
Total Marks |
Counting Numbers |
5 |
2.5 |
12.5 |
Operations on Numbers |
10 |
2.5 |
25 |
Time and Calendar |
2 |
2.5 |
5 |
Money |
1 |
2.5 |
2.5 |
Measurement |
3 |
2.5 |
7.5 |
Geometrical Shapes |
3 |
2.5 |
7.5 |
Reasoning and Aptitude |
8 |
2 |
16 |
Scholar’s Zone |
8 |
3 |
24 |
Total |
40 | - | 100 |
IOM Syllabus Class 3
IOM exam includes two sections mathematics and scholar's section for a total of 100 marks. Mathematics section includes the following topics
- Numbers and their Operations: Number Sense and Numeration, Addition and Subtraction, Multiplication and Division
- Everyday Mathematics: Time and Calendar, Money, Unitary Method
- Fractions
- Measurements
- Geometrical Shapes
- Data Handling
- Reasoning and Aptitude
IOM exam includes two sections of Mathematics and scholar section and the marks for these sections are given in the table below.
Unit |
No. of Questions |
Marks |
Total Marks |
Numbers and Their Operations |
11 |
2 |
22 |
Fractions |
4 |
2 |
8 |
Everyday Mathematics |
3 |
2 |
6 |
Measurement |
4 |
2 |
8 |
Geometrical Shapes |
5 |
2 |
10 |
Data Handling |
3 |
2 |
6 |
Reasoning and Aptitude |
10 |
1.5 |
15 |
Scholar’s Zone |
10 |
2.5 |
25 |
Total Questions |
50 | - | 100 |
IOM Syllabus Class 4
IOM exam includes two sections mathematics and scholar's section for a total of 100 marks. The mathematics section includes the following topics.
- Numbers and their operations: Number Sense and Numeration, Roman Numerals, Addition & Subtraction, Multiplication & Division
- Fractions And Decimals
- Everyday Mathematics: Money, Unitary method
- Geometrical Shapes
- Perimeter and Area
- Data Handling
- Reasoning and Aptitude
IOM exam includes two sections of mathematics and scholar section and the marks for these sections are given in the table below
Unit |
No. of Questions |
Marks |
Total Marks |
Numbers and Their Operations |
10 |
2 |
20 |
Fractions and Decimals |
5 |
2 |
10 |
Everyday Mathematics |
2 |
2 |
4 |
Geometrical Shapes |
5 |
2 |
10 |
Perimeter and Area |
5 |
2 |
10 |
Data Handling |
3 |
2 |
6 |
Reasoning and Aptitude |
10 |
1.5 |
15 |
Scholar’s Zone |
10 |
2.5 |
25 |
Total Questions |
50 | - | 100 |
IOM Syllabus Class 5
IOM exam includes two sections mathematics section and scholar's section for a total of 100 marks. Mathematics section includes the following topics.
- Numbers in Opernation: Number Sense and Numeration, Numbers in Operation, Factors and Multiples
- Factors and Multiples
- Everyday Mathematics: Percentage, Ratio and Proportion/ Time and Distance
- Geomentry and Measurements
- Introduction to Algebra
- Data Handling
- Reasoning and Aptitude
IOM exam includes two sections of Mathematics and scholar section and the marks for these sections are given in the table below
Unit |
No. of Questions |
Marks |
Total Marks |
Numbers in Operations |
11 |
2 |
22 |
Fractions and Decimals |
4 |
2 |
8 |
Everyday Mathematics |
4 |
2 |
8 |
Geometry and Measurement |
7 |
2 |
14 |
Data Handling |
3 |
2 |
6 |
Algebra |
1 |
2 |
2 |
Reasoning and Aptitude |
10 |
1.5 |
15 |
Scholar’s Zone |
10 |
2.5 |
25 |
Total Questions |
50 | - | 100 |
IOM Syllabus Class 6
IOM exam includes two sections mathematics and scholar's section for a total of 100 marks. The mathematics section includes the following topics.
- Numbers and their Operations, Factors and Multiples
- Fractions and Decemials
- Mensuration and Geomentry
- Introduction to sets
- Data Handling
- Reasoning and Aptitude
IOM exam includes two sections of mathematics and scholar section and the marks for these sections are given in the table below
Unit |
No. of Questions |
Marks |
Total Marks |
Numbers and Their Operations |
9 |
2 |
18 |
Fractions and Decimals |
5 |
2 |
10 |
Algebra, Ratio, and Proportion |
5 |
2 |
10 |
Geometry and Mensuration |
7 |
2 |
14 |
Data Handling |
3 |
2 |
6 |
Sets |
1 |
2 |
2 |
Reasoning and Aptitude |
10 |
1.5 |
15 |
Scholar’s Zone |
10 |
2.5 |
25 |
Total Questions |
50 | - | 100 |
IOM Syllabus Class 7
IOM exam includes two sections mathematics and scholar's section for a total of 100 marks. Mathematics section includes the following topics
- Numbers and their Operations: Tractions and Decimals, Rational Numbers, Exponents and Power
- Algebraic Expressions, Linear Equation
- Everyday Mathematics: Ratio and Proportion, Percentage, Profit and Loss, Simple and Compound Interests
- Geomentry and Mensuration: Linea and Angels, Triangles, Mensuration
- Data Handling
- Sets
- Reasoning and Aptitude
IOM exam includes two sections of Mathematics and scholar section and the marks for these sections are given in the table below
Unit |
No. of Questions |
Marks |
Total Marks |
Numbers and Their Operations |
12 |
2 |
24 |
Algebra |
3 |
2 |
6 |
Everyday Mathematics |
4 |
2 |
8 |
Geometry and Mensuration |
7 |
2 |
14 |
Data Handling |
3 |
2 |
6 |
Sets |
1 |
2 |
2 |
Reasoning and Aptitude |
10 |
1.5 |
15 |
Scholar’s Zone |
10 |
2.5 |
25 |
Total Questions |
50 | - | 100 |
IOM Syllabus Class 8
IOM exam includes two sections mathematics and scholar's section for a total of 100 marks. Mathematics section includes the following topics
- Number Systems and Operations: Number Systems, Powers and exponents, Square and Square Root, Cube and Cube Root
- Algebra and Geomentry: Algebraic Expression, Factorization, Linear Equation, Convex and Concave polygon
- Comparing Quantities: Direct and inverse proportions, Time and Work, Percentage, Profit and Loss, Compound Interest and Simple Interest
- Mensuration: Surface area and volume of Cube, Cuboid and Cylinder
- Data Handling: Frequency distribution, Line graph, Bar graph, Histogram and Pie Chart
- Operations on Sets and Venn Diagram
- Reasoning and Aptitude
IOM exam includes two sections of Mathematics and scholar section and the marks for these sections are given in the table below
Unit |
No. of Questions |
Marks |
Total Marks |
Number Systems and operations |
6 |
2 |
12 |
Algebra and Geometry |
6 |
2 |
12 |
Comparing Quantities |
8 |
2 |
16 |
Mensuration |
4 |
2 |
8 |
Data Handling |
4 |
2 |
8 |
Applied Mathematics |
2 |
2 |
4 |
Reasoning and Aptitude |
10 |
1.5 |
15 |
Scholar’s Zone |
10 |
2.5 |
25 |
Total Questions |
50 | - | 100 |
IOM Syllabus Class 9
IOM exam includes two sections mathematics and scholar's section for a total of 100 marks. Mathematics section includes the following topics
- Real Numbers: Irrational Numbers, Real numbers and their Decimal expansions, Operation on real Numbers, Laws of Exponents for real numbers
- Algebra & Co-ordinate geometry: Polynomials, Logarithms, Linear equation in two variables, Coordinate geometry
- Geometry: Lines and Angles, Triangles, Quadrilaterals, Areas of Parallelograms and Triangles, Circles
- Trigonometry ratios and identities
- Statistics and Probability: Measures of Dispersion, Mean, Median and Mode, Probability of an Event
- Applied Mathematics: Mensuration and Word Problems Based On Mathematics
- Reasoning and aptitude
IOM exam includes two sections of Mathematics and scholar section and the marks for these sections are given in the table below
Unit |
No. of Questions |
Marks |
Total Marks |
Real Numbers |
4 |
2 |
8 |
Algebra & Co-ordinate geometry |
8 |
2 |
16 |
Geometry |
5 |
2 |
10 |
Trigonometry |
3 |
2 |
6 |
Statistics and Probability |
5 |
2 |
10 |
Applied Mathematics |
5 |
2 |
10 |
Reasoning and Aptitude |
10 |
1.5 |
15 |
Scholar’s Zone |
10 |
2.5 |
25 |
Total Questions |
50 | - | 100 |
IOM Syllabus Class 10
IOM exam includes two sections mathematics and scholar's section for a total of 100 marks. Mathematics section includes the following topics
- Number System, Sequence, and Series: Decimal Expansion of Rational numbers, Arithmetic Progression, Geometric Progression, Harmonic Progression
- Algebra and Coordinate Geometry: Polynomials, Pair of Linear equations in two variables, Quadratic equation, Coordinate geometry
- Geometry: Similar figures, Similarity of Triangles, Areas Of Similar triangles, Circles, Tangent to a circle
- Trigonometry, Height, and Distance
- Statistics and Probability: Mean, Mode and Median of Grouped Data, Mean deviation about mean, Mean deviation about Median, Standard Deviation and Variance, Probability of Events
- Surface area and Volume
- Reasoning and Aptitude
IOM exam includes two sections of Mathematics and scholar section and the marks for these sections are given in the table below
Units |
No. of Questions |
Marks |
Total Marks |
Number System, Sequence, and Series |
5 |
2 |
10 |
Algebra and Coordinate Geometry |
5 |
2 |
10 |
Geomentry |
5 |
2 |
10 |
Statistics and Probability |
5 |
2 |
10 |
Trignomentry |
5 |
2 |
10 |
Surface area and Volume |
5 |
2 |
10 |
Data Handling |
10 |
1.5 |
15 |
Reasoning and Aptitude |
10 |
2.5 |
25 |
Total | 50 | - | 100 |
IOM Syllabus Class 11
IOM exam includes two sections mathematics and scholar's section for a total of 100 marks. Mathematics section includes the following topics
- Sets & Functions: Sets, Relations and Functions, Trigonometric functions
- Algebra: Mathematical Induction, Complex number, Sequence and series, Permutation and combination, Binomial theorem, logarithm, Inequality
- Co-ordinate geometry & Vector: Straight lines, Conic Sections, Introduction to 3D geometry and Introduction to Vectors
- Calculus: Limits and derivatives
- Mathematical Reasoning: Statements, Logical Connectives, Negation, Implications, Validation, Truth table, Tautology, and Contradiction, Duality, Algebra of Statements
- Statistics & Probability: Measures of Dispersion, Range, Mean Deviation, Variance and Standard Deviation, Analysis of frequency Distribution, Axiomatic Approach to probability
- Reasoning and Aptitude
IOM exam includes two sections of Mathematics and scholar section and the marks for these sections are given in the table below
Unit |
No. of Questions |
Marks |
Total Marks |
Sets & Functions |
8 |
2 |
16 |
Algebra |
8 |
2 |
16 |
Coordinate Geometry & Vectors |
6 |
2 |
12 |
Calculus |
3 |
2 |
6 |
Mathematical Reasoning |
1 |
2 |
2 |
Statistics & Probability |
4 |
2 |
8 |
Reasoning and Aptitude |
10 |
1.5 |
15 |
Scholar’s Zone |
10 |
2.5 |
25 |
Total |
50 | - | 100 |
IOM Syllabus Class 12
IOM exam includes two sections mathematics and scholar's section for a total of 100 marks. Mathematics section includes the following topics
- Relations and Functions: Sets, Types of Relations, Types of Functions, Composition Of Functions, Invertible Functions, Binary Operations, Inverse Trigonometric functions, and their properties
- Matrices and Determinants
- Vector Algebra and three-dimensional geometry
- Calculus: Applications of Derivatives, Integrals, Application of Integrals, Differential Equation
- Linear Programming Problem and its Mathematical Formulation and Mathematical Reasoning
- Probability: Conditional Probability, Multiplication Theorem on Probability, Independent Events, Bayes' Theorem, Random Variables, and its Probability Distributions, Binomial Distribution
- Reasoning and Aptitude
IOM exam includes two sections of Mathematics and scholar section and the marks for these sections are given in the table below
Unit |
No. of Questions |
Marks |
Total Marks |
Relations and Functions |
5 |
2 |
10 |
Algebra |
4 |
2 |
8 |
Vectors & 3D |
6 |
2 |
12 |
Calculus |
10 |
2 |
20 |
Linear programming & Mathematical Reasoning |
1 |
2 |
2 |
Probability |
4 |
2 |
8 |
Reasoning and Aptitude |
10 |
1.5 |
15 |
Scholar’s Zone |
10 |
2.5 |
25 |
Total Questions |
50 | - | 100 |
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