Free Class 6 IMO Question Paper 2022-23 | Online Practice for International Maths Olympiad

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Master Maths with Real Olympiad Questions!

Are you getting ready for the International Mathematics Olympiad (IMO) 2022-23? Practicing with the Class 6 question paper is the best way to sharpen your problem-solving skills, enhance your mathematical understanding, and build confidence for the big day!

Why Should You Practice with the IMO 2022-23 Question Paper?

✅ Experience Real Olympiad Questions – Get familiar with the actual exam format and difficulty level.
✅ Improve Problem-Solving Skills – Develop logical thinking, analytical reasoning, and accuracy.
✅ Strengthen Core Mathematical Concepts – Enhance your understanding of key topics covered in the IMO syllabus.
✅ Boost Time Management – Learn to solve questions efficiently under timed conditions.

QUESTION PAPER SET “A“

IMO Class 6 Question Paper 2022-23 Challenge Yourself!-SET"A"

1 / 50

Read the given paragraph carefully and answer the  following questions.
There is a society of 156 people. In the society, the number of females is  of the total number of people and rest are males.
(i) Find the ratio of number of males to the number of females.
(ii) If 49 males are married in the society, then find the ratio of number of unmarried males to the total number of people.

2 / 50

Which of the following options is correct?

3 / 50

Study the following statements and select the correct option.
Statement-I : The fraction of prime numbers from 1 to 30 is  .
Statement-II : Ajay spent hours in reading a story book and spent of an hour in playing game.  So, total time spent in all by him is hours.

4 / 50

Match the following and select the correct option.
Column I                                                                   Column II
(P) The difference between the successor and        (i) –1005
predecessor of 305 is __________ .
(Q) Subtract 93 from the sum of                             (ii) –16
      –678 and –234 =_________ .
(R) The integer which is 8 more                                (iii) 2
     than –24 is _________  .

5 / 50

Fill in the blanks and select the correct option.
• Area of a digital rectangular board whose length is    P   m and width is 13 m, is 182 sq. m.
• Sam has to cover the floor of his room by square tiles of side 2 m each. If the length of the floor is 10 m and width is 8 m, then    Q    tiles will completely cover the floor of the room.
• A square and a rectangle has same perimeter. Length of rectangle is    R   m, if its breadth is 11 m and side of square is 14.5 m.

6 / 50

To make a specific dress, a cloth of length 4 m 25 cm is needed. Find the total length of cloth required to make 3 such dresses.

7 / 50

Three boys steps off together from the same spot. Their steps measures 63 cm, 70 cm and 77 cm respectively. What is the minimum distance each should cover so that all can cover distance in complete steps?

8 / 50

In a university, there are three options for students to choose their streams i.e., Science, Commerce and Arts. In a particular session,1,54,676 students were enrolled in all streams. If 1,26,136 students were enrolled in Science and Commerce stream together, then find the number of students enrolled in Arts stream in that session.

9 / 50

A container X has 24.25 litres of water and another container Y has 17.75 litres of water. Both containers X and Y together are enough to fill one-fifth of a tank Z. What is the total capacity of the tank Z?

10 / 50

Sushant slept at 10 p.m. and woke up at 7 a.m. How many right angles did hour hand of clock make during this period of time?

11 / 50

A rectangular mat is laid on the square floor of side 26 m. The length of the rectangular mat is 18 m and its breadth is two-third of its length. Find the area of floor where mat is not laid.

12 / 50

Amisha runs 7 km towards South, then from there she came back in the opposite direction and runs 9 km. If South represents negative integer and North represents positive integer, then find her position from initial point.

13 / 50

Arun wants to donate ₹ 4200 between two persons X and Y in the ratio of 5:7. Find the amount of money that X and Y will get respectively.

14 / 50

Rehan bought a notebook of ₹  , a geometry box of ₹  and a Mathematics book of ₹  . How much money should he pay to the shopkeeper?

15 / 50

Ansh multiplied 160 by 89 instead of multiplying by 79. How much was his answer greater than the correct answer?

16 / 50

Which of the following are not in proportion?

17 / 50

What is the difference between the shaded fractions of the given figures?

18 / 50

Which of the following figures has exactly three lines of symmetry?

19 / 50

If x and y are odd numbers, then which of the following is even?

20 / 50

How many right angles are formed when hour hand of a clock moves from
(a) 2 to 8                               (b) 6 to 9?

21 / 50

The given bar graph shows the number of wickets taken by a player X from the year 2016 to 2021. Study the graph carefully and answer the given question.

Find the ratio of number of wickets taken by the player in years 2017 and 2021 together to 2016 and 2019 together.

22 / 50

Find the value of DXXXIX + CCCLXVII – DCLXXXI.

23 / 50

Which of the following set of whole numbers will make the given number sentence true?

24 / 50

Which of the following is the simplest form  of ?

25 / 50

Find the value of 2a + 5b, if a : 3 = 72 : 27 = 40 : b.

26 / 50

Find the number of pairs of parallel lines in the given figure.

27 / 50

What type of angle will be formed between the hour hand and the minute hand of a clock at 12:40?

28 / 50

What least value should be given to * so that the number 653*47 is divisible by 11?

29 / 50

Which of the following pair of numbers are co-prime?

30 / 50

Which of the following shows the maximum rise in temperature?

31 / 50

What is the sum of the greatest and the smallest 5-digit number that can be formed from the digits 0, 7, 5, 2 and 1 (use each digit only once)?

32 / 50

What is to be subtracted from 67.74 to get 24.48?

33 / 50

According to census 2011, the population of India is 1,210,193,422. Which of the following options will represent this number in International System of Numeration?

34 / 50

A figure is formed by putting two squares one on the other as shown in the figure. If the length of each side of the two squares is 8 cm, then the perimeter of the figure formed is _____________ .

35 / 50

Find the number of matchsticks that will be used in pattern 32.

36 / 50

Pointing to a girl in the photograph, Arun said, “She is the granddaughter of the elder brother of my father.” How is that girl related to Arun?

37 / 50

How many such pairs of letters are there in the word CREATOR each of which has same number of letters between them as in the English alphabets?

38 / 50

If ‘L’ denotes ‘×’, ‘M’ denotes ‘÷’, ‘N’ denotes ‘–’ and ‘Q’ denotes ‘+’, then find the value of 85 M 17 L 4 Q 18 N 5.13. If ‘L’ denotes ‘×’, ‘M’ denotes ‘÷’, ‘N’ denotes ‘–’ and ‘Q’ denotes ‘+’, then find the value of 85 M 17 L 4 Q 18 N 5.

39 / 50

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

40 / 50

Select the correct water image of the given combination of letters and numbers.

41 / 50

Find the minimum number of straight lines required to draw the given figure.

42 / 50

In a certain code language, if GREAT is written as JTFCW, then how will SIGHT be written in the same code language?

43 / 50

There is a certain relationship between the pair of figures on the either side of ::. Identify the relationship of the left pair and find the missing figure.

44 / 50

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

45 / 50

A square transparent sheet with a pattern and a dotted line on it is given. Select a figure from the options as to how the pattern would appear when the transparent sheet is folded along the dotted line.

46 / 50

Which of the following options satisfies the same conditions of placement of dots as in the given figure?

47 / 50

Two positions of a dice are shown below. Which number will be on the face opposite to the face having number 4?

48 / 50

In a row of 60 students, Amit is at 30th position from the left end. What is his position from the right end?

49 / 50

Which of the following Venn diagrams best represents the relationship amongst, “Fiction Books and Non-fiction books”?

50 / 50

Select the odd one out.

Your score is

The average score is 17%

How Practicing with Past Question Papers Helps You Succeed

🔹 Build a Strong Foundation – The IMO challenges students with complex problems, pushing them to think critically and develop a deeper understanding of mathematics. Working through past papers helps reinforce these concepts.

🔹 Exposure to Different Question Formats – The Olympiad includes a variety of problem types, from multiple-choice to complex reasoning-based questions. Practicing with past papers ensures that students are well-prepared for all possible formats.

🔹 Timed Practice for Exam Success – Simulating real exam conditions is key to performing well in competitive exams. Practicing with a timer encourages students to think fast and solve efficiently.

🔹 Learn from Mistakes – Reviewing solutions after attempting a paper helps identify mistakes, understand weak areas, and improve accuracy.

Key Topics Covered in IMO Class 6 (2022-23)

📌 Number System – Whole numbers, fractions, decimals, and number properties.
📌 Algebra – Expressions, equations, and basic inequalities.
📌 Geometry & Mensuration – Shapes, perimeter, area, and volume.
📌 Data Handling & Statistics – Graphs, charts, and probability basics.
📌 Logical Reasoning – Patterns, sequences, and problem-solving techniques.

Make Learning Fun & Effective!

💡 Form Study Groups – Discussing problems with friends can introduce new ways of thinking and problem-solving strategies.
💡 Challenge Yourself – Set a time limit for practice tests and track your progress over time.
💡 Stay Consistent – Regular practice with past papers boosts confidence and prepares you for success.

QUESTION PAPER SET “B”

IMO Class 6 Question Paper 2022-23 Challenge Yourself!-SET"B"

1 / 50

Pointing towards Ankit, a lady said, “His mother is the only daughter of my mother.” How is that lady related to Ankit?

2 / 50

Which of the following options satisfies the same conditions of placement of dots as in the given figure?

3 / 50

Which of the following Venn diagrams best represents the relationship amongst, “Judge, Police and Thief ”?

4 / 50

Select a term from the options which will continue the given series.

5 / 50

There is a certain relationship between figures (i) and (ii). Establish the similar relationship between figures (iii) and (iv) by selecting a suitable figure from the options that will replace the (?) in figure (iv).

6 / 50

Find the number of triangles formed in the given figure.

7 / 50

The given question consists of a set of three figures X, Y and Z which shows the 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 shows the unfolded form of Fig. (Z).

8 / 50

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

9 / 50

Group the given figures into three classes on the basis of their identical properties using each figure only once.

10 / 50

Some letters are given which are numbered 1, 2, 3, 4, 5 and 6. Find the combination of numbers from the options so that the letters are arranged accordingly to form a meaningful English word.

11 / 50

In a certain code language, if CREDIT is coded as CDEIRT, then how will SAFEST be coded in the same code language?

12 / 50

Find the correct mirror image of the given figure.

13 / 50

If ‘+’ stands for division, ‘÷’ stands for multiplication, ‘×’ stands for subtraction and ‘–’ stands for addition, then find the value of 14 ÷ 6 – 8 + 4 × 10.

14 / 50

Count the number of cubes in the given figure.

15 / 50

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

16 / 50

Given number line represents the average temperature (in °C) of different places in January. Find the temperature difference between Siachin and Chennai.

17 / 50

What is the fraction of vowels in the word “MATHEMATICS”?

18 / 50

What is the difference between the place value and face value of 3 in 637258?

19 / 50

Find the number of prime factors of 7350.

20 / 50

Which of the following is not a polygon?

21 / 50

What does the given number line represent?

22 / 50

If x : y = 4 : 5, then (4x + 5y) : (5x – 2y) is equal to ___________________ .

23 / 50

Vicky is 5 years older than his cousin. If age of Vicky is x years, then find the age of his cousin (in years).

24 / 50

What is the area of the shaded part in the given figure?

25 / 50

The given bar graph represents the total number of runs scored by a player in five different years across all formats of cricket. Study the graph carefully and answer the following question.

How many more runs were scored by the player in years 2018, 2019 and 2021 altogether than in years 2017 and 2020 together?

26 / 50

The value of 0.90 + 34.77 – 23.03 is _________________ .

27 / 50

In which of the following clocks, obtuse angle will be formed between the hour hand and the minute hand of the clock?

28 / 50

The decimal form of    is

29 / 50

Which of the following has exactly two lines of symmetry?

30 / 50

What is the numeral form of the number, “Two hundred fifty three million five hundred three thousand four hundred two” in International System of Numeration?

31 / 50

In the given figure, the number of pairs of parallel lines is ____________________ .

32 / 50

Which of the following options is correct?

33 / 50

Find the shaded fraction of the given figure.

34 / 50

Arpita takes 5 rounds of a rectangular park length of which is 7 m less than two times of its breadth.  If breadth of the rectangular park is 65 m, then find the total distance travelled by Arpita.

35 / 50

The given data shows the number of goals scored by a player in 24 different football matches. Study the data carefully and answer the following question.
2, 3, 2, 1, 0, 4, 3, 1, 2, 0, 3, 2, 1, 3, 0, 2, 5, 2, 4, 3, 1, 2, 1, 3
How many times the player scored at least 2 goals?

36 / 50

The students in a class can be divided into groups of 2, 3, 5 and 6. What is the least number of students this class can have?

37 / 50

The cost of 5 eggs is ₹ 27.50 and cost of 5 omelettes is ₹ 60. Find the ratio of cost of one egg to the cost of one omelette.

38 / 50

Rohit participated in a race of km. If he runs  km, then how much distance he still needs to 2 cover to complete the race?

39 / 50

The cost of cultivating a square field at ₹ 17 per sq. m is ₹ 612. Find the side of the field.

40 / 50

Rohan saved ₹ 2860 from his pocket money in a certain year. What is the Roman number for this saving amount?

41 / 50

Arun has ₹ 125 in his savings account. He withdraws ₹ 117, makes a deposit of ₹ 45 and then withdraws another ₹ 69. Find the amount left in his account. (Write the amount as an integer.)

42 / 50

A company X produces two types of laptops i.e., P and Q. Total production of both types of laptops in a certain year is 8,75,677. If total production of P type laptops is 3,37,563, then find the total production of Q type laptops.

43 / 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 is left with her?

44 / 50

Kanika’s teacher asked her to round off 1248, 3127 and 4105 to the nearest tens. After rounding off the numbers, the estimated sum will be _______________ .

45 / 50

Match the following and select the correct option.
Column-I                                                                                         Column-II
(P) The sum of place values of the digits 5 and 8                             (i) 1800
in the number 95807 is ___________ .
(Q) 8 hundreds more than smallest 4-digit                                      (ii) 9837
even number is ____________ .
(R) Greatest 4-digit number having all different digits                     (iii) 5800
such that 3 is at tens place is _________ .

46 / 50

Read the given statements carefully and select the correct option.
Statement-I: One-fourth of a revolution is a right angle.
Statement-II: A person is facing towards North. He turns clockwise to face towards South-West. So, he turned  of a revolution clockwise

47 / 50

Fill in the blanks and select the correct option.
(i) The value of 57.295 + 108.280 – 33.912 is  _  (P) _  .
(ii)   in decimal form can be written as    (Q)     .
(iii) Rashmi purchased a chocolate for ₹ 12.50, a pastry for ₹ 5.75 and a packet of chips for ₹ 8.38. Total amount of money spent by her is    (R)   .

48 / 50

Answer the following questions and select the correct option.
(a) A path (outside) of width 50 cm is made around a rectangular field of dimensions 12 m and 8 m. Find the area of that path.
(b) A wire of length 68 cm is bent into the form of a square. Find the area of the square so formed.

49 / 50

The given pictograph shows the number of laptops sold by five different shops in a month. Study the pictograph carefully and answer the following questions.


(i) How many more laptops were sold by shop S than shop Q?

(ii) Find the fraction of the number of laptops sold by shops P and R together to the total number of laptops sold by all the shops.

50 / 50

Your score is

The average score is 2%

Conclusion: Take the First Step Toward IMO Success!

Practicing with the IMO 2022-23 Class 6 question paper is a smart and strategic approach to mastering mathematics. With consistent effort, time management, and in-depth practice, you can excel in the Olympiad and beyond.

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