Free Class 6 IMO Question Paper 2021-22 | Online Practice for International Maths Olympiad

Master Maths with Real Olympiad Questions!

Are you gearing up for the International Mathematics Olympiad (IMO)? One of the smartest ways to prepare is by practicing with the Class 6 IMO 2021-22 Question Paper. These real exam questions help sharpen your problem-solving skills, boost your confidence, and enhance your understanding of core mathematical concepts.


Why Should You Practice with the IMO 2021-22 Question Paper?

Familiarize Yourself with the Real Exam Format – Understand the types of questions and the level of difficulty you’ll face.
Improve Problem-Solving Skills – Practice logical reasoning, analytical thinking, and accurate calculation.
Reinforce Core Concepts – Deepen your knowledge in key IMO syllabus topics.
Master Time Management – Learn to solve questions faster and more efficiently.

QUESTION PAPER SET “A

IMO Class 6 Question Paper 2021-22 Challenge Yourself!-SET"A"

1 / 50

The total number of students who appeared for a competitive exam in the last five years is given below.


Using the symbol to represent 200 students, answer the following questions.

(i) How many symbols are needed to represent the number of students in 2015 and 2018 together?
(ii) How many less symbols are needed to represent the number of students in 2019 than in 2016?

2 / 50

Read the statements carefully and state ‘T’ for true, ‘F’ for false and select the correct option.
(i) The given fractions  are arranged in ascending order.
(ii) Simplest form of the fraction
(iii) If the numerator of the fraction is greater than the denominator, then the fraction is a proper fraction.
(iv) Sum of the fractions 

3 / 50

Study the given statements carefully and select the correct option.
Statement-I : The cover of the rectangular table is to be made of cloth of length 54 cm and breadth 32 cm. The cloth used to made the cover of the table is 1728 sq. cm in area.
Statement-II : The total cost of flooring a room at ₹ 7.50 per square metre is ₹ 975. If the length of the room is 16 metres, then its breadth is 8.125 metres.

4 / 50

Fill in the blanks and select the correct option.
(i) A line segment has ___________ end point(s).
(ii) The bisector of an angle divides it into ___________ angles.
(iii) Number of set squares in a geometry box is ____________ .

5 / 50

Which of the following statements is incorrect?

6 / 50

The distance between Delhi to Mumbai is 1420 km. A man travelled a distance of 920 km by train and the remaining distance by bus. What fraction of distance is covered by bus?

7 / 50

1020 bolts are manufactured every day in a factory. How many such bolts will be manufactured altogether in the months of September, October, November and December? (Assume that the factory works on all days in these 4 months.)

8 / 50

Aarav is climbing the steps to a hill top. He is at step m.  If the total number of steps to the hill top is 10 less than 4 times what Aarav has reached. Express the total number of steps using m.

9 / 50

The present age of Reena is of her father’s age.  If the present age of her father is 52 years, then what will be the age of Reena after 7 years?

10 / 50

There are 222 red balls in a basket. A boy takes out 6 red balls from it and replaces them by 12 white balls. He continues to do so, till all red balls are replaced by white balls. Then the total number of white balls put in the basket is ____________ .

11 / 50

Priya drove 15 km towards West, then 18 km towards East. Which of the following options represents her position with respect to her starting point, if East represents positive integer and West represents negative integer?

12 / 50

Jaya’s score in Mathematics is 30 more than two third of her score in English. If her score in English is x, then which of the following expressions shows her score in Mathematics?

13 / 50

The weight of three friends are in the ratio 2 : 5 : 7.  If their total weight is 126 kg 350 g, then find the weight of the heaviest person.

14 / 50

Nitin has a credit card with bank limit ₹ 50,000. But he buys a cellphone of worth ₹ 62,000. What amount will be written in the bank statement to be left in his account? (Write the amount as an integer.)

15 / 50

How much wire should be used in fencing a garden of the length 526.75 m and width 225.46 m?

16 / 50

In the word COMPARISON, find the ratio of number of consonants to the number of vowels.

17 / 50

Find the difference between 423308 rounded off to the nearest thousands and 42568 rounded off to the nearest hundreds.

18 / 50

Which of the following figures has more than two lines of symmetry?

19 / 50

The given figure is obtained by removing 4 small squares from a big square. Find the area of the shaded part of the figure.

20 / 50

What is to be added to 18.243 to get 31.472?

21 / 50

Find the value of m.

22 / 50

Number of perpendicular bisectors on a line segment is ___________________ .

23 / 50

Which of the following equation justify the given statement?
The age of Riya is five more than three times the age of her son, where age of Riya is Q and her son is P.

24 / 50

Write the following sum in Hindu Arabic numeral.

25 / 50

Which of the following number line correctly represents (–7) + 4?

26 / 50

27 / 50

Which of the following is true according to the given figure?

28 / 50

Compare and fill in the box.

29 / 50

Given below is the bar graph showing the number of scooters produced in a factory during the first six months of a year. Study the graph carefully and answer the following question.

What is the difference between the maximum production and minimum production of scooters?

30 / 50

Which of the following figure is a polygon?

31 / 50

Find the perimeter of the given figure (not drawn to scale).

32 / 50

The given figure has ________ edges.

33 / 50

The sum of the additive inverse of –100 and the additive inverse of 52 is ______________ .

34 / 50

Study the pattern carefully and find the missing number.

35 / 50

What is the difference between the successor and predecessor of the number 205575?

36 / 50

Select a figure from the options which satisfies the same conditions of placement of the dots as in the given figure.

37 / 50

Find the missing term in the given number pattern.

38 / 50

The given sheet of paper is folded to form a cube.  Select a figure from the options which is similar to the cube formed by folding the given sheet.

39 / 50

The given question consists of a set of three figures X, Y and Z showing a sequence of folding of a piece of paper. Fig (Z) shows the manner in which the folded paper has been cut. Select a figure from the options which would most closely resembles the unfolded form of figure (Z).

40 / 50

Select a figure from the options which will complete the pattern in the given figure.

41 / 50

Select a figure from the options in which given figure is exactly embedded as one of its parts.

42 / 50

Choose the correct mirror image of the given figure, if mirror is placed vertically to the left.

43 / 50

Find the number of triangles in the given figure.

44 / 50

In a row of boys, Abhinav is 13th from the left end and there are 2 boys between Kartik and Abhinav. Kartik, who is sitting to the right of Abhinav, is 15th from the right end. Find the total number of students in the row.

45 / 50

If P is called ‘÷’, Q is called ‘×’, R is called ‘+’ and S is called ‘–’, then find the value of 20P4Q7R3S7.

46 / 50

In the given Venn diagram, circle represents the students who join online classes, square represents the students who join offline classes for their study and rectangle represents students who arrange tutor at home for their study. What is the number of students who join online classes and arranges tutor at their home?

47 / 50

A man is at a point P. He starts walking 6 m towards East. Then he turns left and walks 4 m, then again he turns right and walks 2 m, after that he turns right and walks 4 m and reaches a point Q. How far is Q from the point P ?

48 / 50

P is the father of Q. R and S are sons of Q. T is the mother of S. How is T related to P?

49 / 50

If BEAR is coded as EHDU, then in the same way TIGER is coded as __________________ .

50 / 50

Find the missing number, if same rule is followed in all the three figures.

Your score is

The average score is 0%


Benefits of Practicing Past Question Papers

🔹 Stronger Mathematical Foundation – The IMO is designed to challenge students with complex problems. Working through previous papers helps solidify your understanding.

🔹 Learn to Tackle Various Question Types – Olympiad questions come in many forms, including multiple choice and high-order thinking problems. Practicing with past papers prepares you for all formats.

🔹 Boost Exam Readiness with Timed Practice – Solve papers under exam conditions to improve your speed and accuracy.

🔹 Analyze and Improve – Go over your mistakes, understand where you went wrong, and target your weak spots.


Key Topics Covered in IMO Class 6 (2021-22)

📌 Number System – Whole numbers, fractions, decimals, and number properties
📌 Algebra – Expressions, simple equations, and basic inequalities
📌 Geometry & Mensuration – Shapes, symmetry, area, perimeter, and volume
📌 Data Handling & Statistics – Bar graphs, pictographs, and basics of probability
📌 Logical Reasoning – Patterns, sequences, coding-decoding, and analytical puzzles

IMO Class 6 Question Paper 2021-22 Challenge Yourself!-SET"B"

1 / 50

The length of the room is 42 metre and width is 18 metre. A carpet is needed to cover the floor of the room. Find the cost of the carpet at the rate of ₹ 6 per square metre.

2 / 50

The given pictograph shows the number of books sold by a shopkeeper on different days of a particular week.  Read the pictograph carefully and select the incorrect option.

3 / 50

Match the following and select the correct option.

4 / 50

Which of the following is incorrect?

5 / 50

Fill in the blanks and select the correct option.
(i) A region in the interior of a circle enclosed by an arc on one side and a pair of radii on the other two sides is called a   P  .
(ii) If three lines l, m and n intersect at a point O. Then, these lines are called    Q    lines.

(iii) Radha is facing East and make of a revolution in clockwise direction.  She will be facing now    R    .

6 / 50

Read the following statements carefully and state ‘T’ for true and ‘F’ for false and select the correct option.
(i) The predecessor of a three digit number is never a two digit number.
(ii) – 4 + 30 – 40 > – 14 – 27 – (–25)
(iii) The sum of two prime numbers is always an even number.
(iv) Associative property holds for all addition, subtraction, multiplication and division of the natural numbers.

7 / 50

The ratio of the volume of water in Bottle P to the volume of water in Bottle Q is 3 : 4.  Rajeev drank 40 mL of the water from Bottle P and then the ratio becomes 13 : 20.  How much water was there in Bottle P at first?

8 / 50

Rakesh went to the market and bought some fruits.  He bought 2 kg 85 g apples, 1 kg 75 g oranges and 3 kg 35 g guavas.  What is the total weight of all the fruits he bought?

9 / 50

Shreya starts to read a book of 168 pages.  She reads 12 pages in 3 days.  In how many days, Shreya will read the book completely?

10 / 50

Three water tanks can contain 252 litres, 280 litres and 308 litres of water.  What is the maximum capacity of the tanker which can contain the water of all the three tankers exact number of times?

11 / 50

There are total 156 employees in an office. In which of the employees are workers and the rest of the employees are officers. Find the fraction of number of officers to the number of workers.

12 / 50

Diksha has a cloth of length m .  Out of which she used 2  m for making curtains. How much cloth is left with her?

13 / 50

Riya attempts a test in which there are 50 questions. For each correct answer 4 marks will be rewarded and for each incorrect answer 2 marks will be deducted and 0 mark will be for unattempted question. If Riya attempts 30 questions out of which 17 are correct and 13 are incorrect answers.
Then, what marks will Riya be rewarded?

14 / 50

The number of items manufactured by three companies P, Q and R is given below. How many more items did company P and Q together manufactured as compare to R?

15 / 50

Prerna had ₹ 5000. She bought 2 boxes of chocolates for ₹ 52.98 each, 3 packets of chips for ₹ 12.98 each and 2 books for ₹300.05 each. How much money left is with her?

16 / 50

The value of 18 × 13 + 54 ÷ 2 – 8 is ___________________ .

17 / 50

Find the sum of all the prime factors of 1155.

18 / 50

Which of the following represents a negative integer?

19 / 50

The length of line segment PQ = 4 cm and PR = 10 cm. If Q lies between the points P and R, then find the length of line segment QR.

20 / 50

Find the number of chords in the given circle having centre O.

21 / 50

What does the angle made by an hour hand of the clock, when it moves from 4 to 9?

22 / 50

If the sum of two angles is greater than 180°, then which of the following is not possible for the two angles?

23 / 50

Which of the following are not in proportion?

24 / 50

Which of the following number lines represents 8 steps more than the number (–5)?

25 / 50

If the given number 87427*56 be divisible by 36.  Then what will come at the place of *?

26 / 50

How many of the following letters have no line of symmetry?

27 / 50

When we multiply a whole number and the multiplicative identity of whole numbers, then we get ________________ .

28 / 50

Which of the following figure has shaded fraction equivalent to ?

29 / 50

Which of the following is incorrect?

30 / 50

Find the area of the shaded region.

31 / 50

The given line graph shows the number of articles produced by five different companies P, Q, R, S and T.

What fraction of total articles are produced by company S?

32 / 50

Observe the pattern carefully. What will be the pattern(5)?

33 / 50

The equation _______________ and 2x + 2 = 0 have the same solution.

34 / 50

The ratio of the present age of Sonam and Priya be 10 : 9. If sum of their ages be 57 years, then find their present ages respectively.

35 / 50

Find the difference between the largest and the smallest 6 digit numbers formed by using all the digits 0, 2, 4, 3, 8, 7?

36 / 50

Select the figure from the options which satisfies the same conditions of placement of the dots as in the given figure.

37 / 50

Select a figure from the options which will complete the given figure matrix.

38 / 50

Select the correct water image of the given word.

39 / 50

Select the odd one out.

40 / 50

Two positions of a dice are shown here. Which number will be at the top when 6 is at the bottom?

41 / 50

A set of three figures X, Y and Z showing a sequence of folding of a piece of paper is given. Figure (Z) shows the manner in which the folded paper has been cut. Select a figure from the options which shows the unfolded form of Fig. (Z).

42 / 50

Count the number of cubes in the given figure.

43 / 50

How many such symbols are there in the given arrangement, each of which is immediately preceded by a number and immediately followed by a consonant?

44 / 50

45 / 50

Some letters are coded as follows:

46 / 50

Jatin is the brother of Rahul. Yash is the father of Jatin and Suman is the sister of Yash. How Suman is related to Rahul?

47 / 50

Which of the following Venn diagrams best represents the relationship amongst, “Musicians, Singers and Writers”?

48 / 50

A man is standing facing towards the North-West direction. He turns 135° in clockwise direction and then 180° in anti-clockwise direction. In which direction is he facing now?

49 / 50

In a certain code language, FREEDOM is written as KWJJITR. How will STRANGER be written in that code language?

50 / 50

Find the missing number, if a certain rule is followed either row wise or column wise.

Your score is

The average score is 0%


Make Learning Engaging and Effective!

💡 Form Study Groups – Work with friends to solve problems and explore new strategies
💡 Challenge Yourself – Take timed mock tests and measure your improvement
💡 Stay Consistent – Regular practice leads to long-term success and confidence


Conclusion: Take the First Step Toward IMO Success!

Practicing with the IMO 2021-22 Class 6 question paper is a powerful and proven way to prepare effectively. By building strong fundamentals, mastering time management, and learning from past mistakes, you’re setting yourself up for success—not just in the Olympiad, but in all future math challenges.

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