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Silverzone International Olympiad of Mathematics (IOM) Syllabus

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IOM-2021: Syllabus

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IOM Syllabus Class 1

  • 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. The 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. The 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

The 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 the scholar's section for a total of 100 marks. The mathematics section includes the following topics.

  • Numbers in Operation: Number Sense and Numeration, Numbers in Operation, Factors, and Multiples

  • Factors and Multiples

  • Everyday Mathematics: Percentage, Ratio, and Proportion/ Time and Distance

  • Geometry 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 Decimals

  • Mensuration and Geometry

  • 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. The mathematics section includes the following topics:

  • Numbers and their Operations: Fractions and Decimals, Rational Numbers, Exponents, and Power

  • Algebraic Expressions, Linear Equation

  • Everyday Mathematics: Ratio and Proportion, Percentage, Profit and Loss, Simple and Compound Interests

  • Geometry and Mensuration: Lines and Angles, 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. The 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 Geometry: 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. The 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. The 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

Geometry

5

2

10

Statistics and Probability

5

2

10

Trigonometry

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. The 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

  • Coordinate 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. The 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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