IMO Sample Papers are available online on this page for all the Classes i.e. from Class 1 to 12. To download IMO sample papers, links are provided on this page for the convenience of candidates. With the help of International Mathematics Olympiad sample papers, students will become familiar with the structure and syllabus of the exam. Also, solving these IMO sample papers for Class 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 will hold candidates to boost their preparation level. Also after solving each SOF IMO sample papers, candidates are required to analyse their answers. Only after a thorough analysis of the answers, students will get to know about the preparation level.
The registration process for the 12th International Mathematics Olympiad is over and Level 1 exam will be held on 4, 13 and 18 December 2018 and for Level 2, the test will be held on 2nd or 3rd Sunday of February. Students preparing for the SOF IMO 2018 can download and solve IMO Sample Papers from 1 to 12 to check their preparation level. The first Level of SOF IMO will be organized by the Schools during the school hours. Based on the first round result, candidates will be qualifying for the second round of SOF IMO. Go through this page for complete details on IMO Sample paper and also know the benefit of solving these papers.
IMO Sample Papers for Class 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12
As mentioned earlier, the Science Olympiad Foundation has released the International Mathematics Olympiad sample papers online. Students preparing for the Olympiad are advised to solve these SOF IMO Sample papers on a daily basis. Mota Chashma provides the list of IMO Sample Papers for Classes 1 to 12 below along with some details regarding the IMO syllabus and exam pattern. Candidates can go through and practice these IMO sample papers as much as they want to improve their preparation level. Also, after solving the IMO question paper, students must analyse their answers to know about the topics where they are having a hard time.
IMO Sample Papers for Class 1 - Download PDF
In the IMO Sample Papers for Class 1, there will be a total of 35 Multiple Choice Questions and students will be allotted 1 hour to complete the test. These questions will be based on topics such as Logical Reasoning, Mathematical Reasoning, Everyday Mathematics and Achievers Section. The Achievers Section will be having 5 MCQs while the rest will have 10 MCQs.
Click here to download IMO Sample Paper for Class 1 PDF
The IMO questions will be based on the following topics provided on the table -
Sections |
IMO Syllabus Topics |
Section 1 (Logical Reasoning) |
Measuring Units, Spatial Understanding, Problems |
Section 2 (Mathematical Reasoning) |
Weights and Comparisons, Subtraction, Numerals, |
Section 3 (Everyday Mathematics) |
Syllabus as per Section–1 and 2 |
Section 4 (Achievers Section) |
Higher Order Thinking Questions - Syllabus as |
IMO Sample Papers for Class 2 - Download PDF
Downloading IMO Sample Paper PDF for Class 2 and then practising the same will help aspirants to understand the syllabus as well as the exam pattern of the test. In the IMO Sample Papers for Class 2, the structure and syllabus will be as follows -
- Total Questions: 35
- Duration: 1 hour
- No. of Sections: 4
- IMO Syllabus (Section 1 - Logical Reasoning): Grouping of Figures, Measuring Units, Ranking Test, Patterns, Coding-Decoding, Geometrical Shapes, Embedded Figures, Analogy, Odd One Out
- IMO Syllabus (Section 2 - Mathematical Reasoning): Money, Time, Number Names and Number Sense (3-Digit Numbers), Numerals, Computation Operations, Shapes and Solids, Length, Capacity, Patterns, Weight, Lines, Pictographs, Temperature
- IMO Syllabus (Section 3 - Everyday Mathematics): Same as Section 2
- IMO Syllabus (Section 4 - Achievers Section): Higher order thinking questions. The syllabus will be similar to that of Section 2
- Marking scheme: 1 Mark for each question in section 1, 2 and 3. In Section 4, 2 marks will be allotted each MCQ
Click here to download IMO Sample Paper for Class 2
IMO Sample Papers for Class 3 - Download PDF
The paper pattern for IMO Class exam will be the same as that of Class 2 and 1. However, there will be a difference in the syllabus. Students are advised to practice the IMO sample paper to understand the question pattern and syllabus. The table below provides complete details about the IMO question paper and syllabus. Also, a link to download IMO Sample Paper is provided below.
Total Questions |
35 |
Duration |
1 hour |
No. of Sections |
4 |
No. of Questions in Section 1 (Logical Reasoning) |
10 MCQs |
No. of Questions in Section 2 (Mathematical Reasoning) |
10 MCQs |
No. of Questions in Section 3 (Everyday Mathematics) |
10 MCQs |
No. of Questions in Section 3 (Everyday Mathematics) |
5 MCQs |
Marking scheme |
1 mark per MCQ for Section 1 2, 3. In section 4, 2 marks per MCQ |
Click here to download IMO Sample Paper for Class 3
The Syllabus of IMO Class 3 will contain the following topics -
- Section 1: Grouping of Figures and Figure Matrix, Days and Dates & Possible Combinations, Alphabet Test, Patterns, Embedded Figures, Coding-Decoding, Ranking Test, Geometrical Shapes, Analogy and Classification, Mirror Images
- Section 2: Fractions, Temperature, Computation Operations, Numerals, Length, Weight, Number names and Number Sense (4-digit numbers), Data Handling, Capacity, Money, Geometry, Time
- Section 3: MCQs will be based on Mathematical Reasoning only
- Section 4: Higher order thinking questions. Syllabus as per section 2
IMO Sample Paper for Class 4 - Download PDF
The table below provides the paper pattern for IMO Class 4 and its syllabus. Aspirants are advised to go through the details carefully before they start practising the sample papers. Also, a link to download IMO Sample Paper is provided below.
Total Questions |
35 |
Duration |
1 hour |
No. of Sections |
4 |
IMO Syllabus Section 1 (Logical Reasoning) |
Embedded Figures, Mirror Images, Alphabet Test, Days and Dates & Possible Combinations, Patterns, Geometrical Shapes and Solids, Analogy and Classification, Ranking Test, Sense Test, Direction, Coding-Decoding. |
IMO Syllabus Section 2 (Mathematical Reasoning) |
Perimeter of Various Shapes, Number Sense (5-digit numbers), Capacity, Numerals and Number Names, Weight, Time, Conversions, Data Handling, Computation Operations, Symmetry, Fractions, Money, Length, Geometry |
IMO Syllabus Section 3 (Everyday Mathematics) |
Topics will be based on Mathematical Reasoning |
IMO Syllabus Section 4 (Achievers Section) |
Topics will be based as per the syllabus of section 2 in High Order Thinking |
No. of Questions in Section 1 |
10 MCQs |
No. of Questions in Section 2 |
10 MCQs |
No. of Questions in Section 3 |
10 MCQs |
No. of Questions in Section 4 |
5 MCQs |
Marking scheme |
1 mark per MCQ for Section 1 2, 3. In section 4, 2 marks per MCQ |
Click here to download IMO Sample Paper for Class 4
IMO Sample Papers for Class 5 - Download PDF
The questions for IMO Sample Paper for Class 12 will help students to learn about the exam’s test pattern and syllabus. Also, solving sample papers of IMO will help aspirants to improve their preparation level. The points below provide the details about the exam pattern and IMO syllabus and topics on which the MCQs will be based.
- Total Questions: 50 MCQs
- Duration: 1 hour
- No. of Sections: 4
- IMO Syllabus Section 1 (Logical Reasoning): Geometrical Shapes, Alphabet Test, Mirror and Water Images, Ranking Test, Analogy and Classification, Coding-Decoding, Direction Sense Test, Puzzle Test, Patterns, Logical Sequence of Words
- IMO Syllabus Section 2 (Mathematical Reasoning): Volume, Time, Symmetry, Number names and Number Sense (7 and 8 digit numbers), Conversions, Perimeter of Various Shapes & Area of Rectangle and Square, Numerals, Geometrical Shapes and Solids, Computation Operations, Temperature and Money, Data Handling, Fractions and Decimals, Capacity, Measurement of Length, Angles, Weight
- IMO Syllabus Section 3 (Everyday Mathematics): Mathematical Reasoning
- IMO Syllabus Section 4 (Achievers Section): Syllabus as per Section 2 (High orderly thinking)
- No. of Questions in Section 1: 15
- No. of Questions in Section 2: 20
- No. of Questions in Section 3: 10
- No. of Questions in Section 4: 5
- Marking scheme: 1 mark per MCQ for Section 1, 2 and 3. For Section 4, 3 marks per MCQ
Click here to download IMO Sample Paper for Class 5
IMO Sample Papers for Class 6 - Download PDF
The points given below provides details about the syllabus of Class 6 for International Mathematical Olympiad. Candidates are advised to check the IMO syllabus of Class 6 and exam pattern before they start preparing for the test.
- Total Questions: 50
- Duration: 1 hour
- No. of Sections: 4
- IMO Syllabus (Section 1 - Logical Reasoning): Verbal and Non-Verbal Reasoning
- IMO Syllabus (Section 2 - Mathematical Reasoning): Understanding Elementary Shapes, Playing with Numbers, Data Handling, Mensuration, Symmetry, Knowing our Numbers, Integers, Practical Geometry, Basic Geometrical Ideas, Ratio And Proportion, Whole Numbers, Algebra, Fractions, Decimals
- IMO Syllabus (Section 3 - Everyday Mathematics): Mathematical Reasoning
- IMO Syllabus (Section 4 - Achievers Section): Higher order thinking questions. The syllabus will be similar to that of Section 2
- Marking scheme: 1 Mark foreach question in section 1, 2 and 3. In Section 4, 3 marks will be allotted each MCQ
Download here IMO Sample Paper for Class 6
As mentioned above, there will be 50 MCQs in total. In the Logical Reasoning Section, there will be 15 MCQs while in the Mathematical Reasoning section, there will be a total of 20 MCQs. In the Everyday Mathematics section, there will be 10 MCQs while 5 MCQs in Achievers Section.
IMO Sample Paper for Class 7 - Download PDF
As mentioned earlier, it is necessary for aspirants to understand the IMO exam pattern and IMO syllabus topics before starting with the preparation. As per the exam pattern, there will be a total of 50 Multiple Choice Questions divided into 4 sections. To complete the IMO question paper, 1 hour will be allotted. Check the table below to know the topics and no. of questions of the IMO Class 5 question paper -
Sections |
No. of MCQs |
Topics |
Logical Reasoning |
15 |
Verbal and Non-Verbal Reasoning |
Mathematical Reasoning |
20 |
Integers, Fractions and Decimals, Exponents |
Everyday Mathematics |
10 |
Questions on Mathematical Reasoning |
Achievers Section |
5 |
Same as Section 2 (requires) high order |
Note: For the sections, Logical Reasoning, Mathematical Reasoning and Everyday Mathematics, will allot 1 mark for each correct answer. For the questions in Achiever section, each correct response will be awarded 3 marks.
Download here IMO Sample Paper for Class 7
IMO Sample Paper for Class 8 - Download PDF
A link to download IMO sample paper for Class 8 is available below. Also, candidates can check the exam structure and pattern of the IMO Sample Paper for Class 8. Aspirants are advised to check the IMO sample papers for Class 8 to improve their preparation level and also analyse the same.
- Total Questions: 50
- Duration: 1 hour
- No. of Sections: 4
- IMO Syllabus (Section 1 - Logical Reasoning): Verbal and Non-Verbal Reasoning
- IMO Syllabus (Section 2 - Mathematical Reasoning): Comparing Quantities, Factorisation, Linear Equations in One Variable, Rational Numbers, Algebraic Expressions and Identities, Data Handling, Mensuration, Introduction to Graphs, Squares and Square Roots, Constructions, Understanding Quadrilaterals, Playing with Numbers, Direct and Inverse Variations, Cubes and Cube Roots
- IMO Syllabus (Section 3 - Everyday Mathematics): Mathematical Reasoning
- IMO Syllabus (Section 4 - Achievers Section): Higher order thinking questions. The syllabus will be similar to that of Section 2
- Marking scheme: 1 Mark for each question in section 1, 2 and 3. In Section 4, 3 marks will be allotted each MCQ
Click here to download IMO Sample Paper for Class 8
As mentioned above, there will be 50 MCQs in total. In the Logical Reasoning Section, there will be 15 MCQs while in the Mathematical Reasoning section, there will be a total of 20 MCQs. In the Everyday Mathematics section, there will be 10 MCQs while 5 MCQs in Achievers Section.
IMO Sample Paper for Class 9 - Download PDF
Students downloading IMO Sample Paper PDF for Class 9 and then practising the same will help them to understand the syllabus and the exam pattern. In the IMO Sample Papers for Class 9, the structure and syllabus will be as follows
Total Questions |
50 |
Duration |
1 hour |
No. of Sections |
4 |
IMO Syllabus Section 1 (Logical Reasoning) |
Verbal and Non-Verbal Reasoning |
IMO Syllabus Section 2 (Mathematical Reasoning) |
Number Systems, Polynomials, Coordinate |
IMO Syllabus Section 3 (Everyday Mathematics) |
Mathematical Reasoning and Quantitative Aptitude questions |
IMO Syllabus Section 4 (Achievers Section) |
Topics will be based as per the syllabus of section 2 in High Order Thinking |
No. of Questions in Section 1 |
15 MCQs |
No. of Questions in Section 2 |
20 MCQs |
No. of Questions in Section 3 |
10 MCQs |
No. of Questions in Section 4 |
5 MCQs |
Marking scheme |
1 mark per MCQ for Section 1 2, 3. And 3 marks per MCQ in section 4 |
Click here to download IMO Sample Paper for Class 9
IMO Sample Paper for Class 10 - Download PDF
Below aspirants can find details about the syllabus of Class 9 for International Mathematical Olympiad. Candidates are advised to check the IMO syllabus of Class 6 and exam pattern before they start preparing for the test. Also, they can click on the link below to download the IMO sample paper for Class 10
- Total Questions: 50
- Duration: 1 hour
- No. of Sections: 4
- IMO Syllabus (Section 1 - Logical Reasoning): Verbal and Non-Verbal Reasoning
- IMO Syllabus (Section 2 - Mathematical Reasoning): Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Constructions, Areas Related to Circles, Surface Areas and Volumes, Statistics, Probability.
- IMO Syllabus (Section 3 - Everyday Mathematics): Questions will be based on Mathematical Reasoning and Quantitative Aptitude topics
- IMO Syllabus (Section 4 - Achievers Section): Higher order thinking questions. The syllabus will be similar to that of Section 2
- Marking scheme: 1 Mark for each question in section 1, 2 and 3. In Section 4, each MCQ will be of 3 marks
Click here to download IMO Sample Paper for Class 10
As mentioned above, there will be 50 MCQs in total. In the Logical Reasoning Section, there will be 15 MCQs while in the Mathematical Reasoning section, there will be a total of 20 MCQs. In the Everyday Mathematics section, there will be 10 MCQs while 5 MCQs in Achievers Section.
IMO Sample Paper for Class 11 - Download PDF
Students can download the IMO sample paper for Class 11 from the link provided below. Also, they can check the table below to know about the IMO Class 11 exam pattern and its syllabus. Aspirants are advised to go through the details carefully before they start practising the sample papers.
Total Questions |
50 |
Duration |
1 hour |
No. of Sections |
4 |
IMO Syllabus Section 1 (Logical Reasoning) |
Verbal and Non-Verbal Reasoning |
IMO Syllabus Section 2 (Mathematical Reasoning) |
Complex Numbers & Quadratic Equations, |
IMO Syllabus Section 3 (Everyday Mathematics) |
Questions will be based on Mathematical Reasoning and Quantitative Aptitude topics |
IMO Syllabus Section 4 (Achievers Section) |
Topics will be based as per the syllabus of section 2 in High Order Thinking |
No. of Questions in Section 1 |
10 MCQs |
No. of Questions in Section 2 |
20 MCQs |
No. of Questions in Section 3 |
10 MCQs |
No. of Questions in Section 4 |
5 MCQs |
Marking scheme |
1 mark per MCQ for Section 1 2, 3. In section 4, for each correct option, 3 marks will be allotted |
Click here to download IMO Sample Paper for Class 11
IMO Sample Paper for Class 12 - Download PDF
The IMO Sample Paper for Class 12 will help students to learn about the exam’s test pattern and syllabus. Also, solving sample papers of IMO will help aspirants to improve their preparation level. The points below provide the details about the exam pattern and IMO syllabus and topics on which the MCQs will be based.
- Total Questions: 50 MCQs
- Duration: 1 hour
- No. of Sections: 4
- IMO Syllabus Section 1 (Logical Reasoning): Verbal and Non-Verbal Reasoning
- IMO Syllabus Section 2 (Mathematical Reasoning): Relations and Functions, Inverse Trigonometric Functions, Matrices and Determinants, Continuity and Differentiability, Application of Derivatives, Integrals, Application of Integrals, Differential Equations, Vector Algebra, Three Dimensional Geometry, Probability, Linear Programming
- IMO Syllabus Section 3 (Everyday Mathematics): Questions will be based on Mathematical Reasoning and Quantitative Aptitude
- IMO Syllabus Section 4 (Achievers Section): Syllabus as per Section 2 (High orderly thinking)
- No. of Questions in Section 1: 15
- No. of Questions in Section 2: 20
- No. of Questions in Section 3: 10
- No. of Questions in Section 4: 5
- Marking scheme: 1 mark per MCQ for Section 1, 2 and 3. For Section 4, 3 marks per MCQ
Download here the IMO Sample Paper for Class 12
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