Free Class 6 IMO Question Paper 2019-20 | Practice Smart for International Maths Olympiad

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πŸš€ Ace the Olympiad with Real Questions from Past Papers!

Getting ready for the International Mathematics Olympiad (IMO)? Practicing with the Class 6 IMO 2019-20 Question Paper is one of the most effective ways to prepare. It gives you a strong sense of the exam pattern, builds problem-solving power, and boosts confidence for the big day!

πŸ’‘ Why Practice with the IMO 2019-20 Paper?

βœ… Understand the Real Exam Format – Know what to expect and reduce exam-day surprises.
βœ… Boost Logical & Analytical Thinking – Tackle questions that challenge your brain and stretch your skills.
βœ… Master Core Concepts – Strengthen topics across the IMO syllabus with real, tested questions.
βœ… Practice Time Management – Learn to think quickly and solve efficiently under exam pressure.

IMO Class 6 Question Paper 2019-20 Challenge Yourself!-SET"A"

1 / 50

Which of the following options is incorrect?

2 / 50

Arrange the following figures in ascending order of their shaded fraction.

3 / 50

Study the given statements carefully and select the correct option.
Statement-I : 7456824 is divisible by 9.
Statement-II : A natural number is divisible by 9, if the sum of the digits of the number is divisible by 3.

4 / 50

Find the perimeter of the following figures (not drawn to scale) and select the correct option.

5 / 50

Fill in the blanks and select the correct option.
(i) In 43.295, the digit ____________ is at hundredths place.
(ii) Compare : 11.45 – 3.25 + 12.5 ________ 15.75 – 4.65 + 9.85
(iii) 15.5575 rounded off to the nearest thousandths is __________ .

6 / 50

Arjun weighs twice as Surbhi and Sejal weighs 5 kg less than Arjun.Β  If the total weight of Arjun, Surbhi and Sejal is 63 kg, then find the total weight of Sejal and Arjun.

7 / 50

A rectangular courtyard 1.12 m long and 0.84 m wide is to be paved exactly with square tiles, all of same size.Β  The largest size of the tile which could be used for the purpose is (n Γ— 4) cm.Β  Find the value of n.

8 / 50

A container is completely filled with four packets of flour weighingΒ  kg,Β  kg,Β  kg andΒ  kg.Β  Find the total weight the container can hold.

9 / 50

An amount of β‚Ή 5850 is divided into Vishal and Anita in the ratio 4 : 5.Β  Find the share of Anita.

10 / 50

8 years ago, Vinay was 3p years old.Β  How old (in years) will he be after 4 years?

11 / 50

There are 42 flats in city A and 54 flats in city B.Β  If the cost of each flat in city A and city B is β‚Ή 2,84,500 and β‚Ή 2,69,000 respectively, then what is the difference between the cost of all the flats in city A and city B?

12 / 50

Jennifer bought 6 sarees and 3 shirts.Β  A saree costs twice as a shirt.Β  If each saree costs β‚Ή 1050.50, then how much total amount did she spend?

13 / 50

Niharika walks thrice around a square field of side 22 m.Β  Girish walks twice around a rectangular field of length 10 m and breadth 12 m.Β  Who covers more distance and by how much?

14 / 50

For a concert, Vishakha spent β‚Ή 4,74,560 on musical instruments, β‚Ή 8,12,320 on food, β‚Ή 3,28,254 on decoration and β‚Ή 56,480 on advertisement.Β  Find the total amount spent by her.

15 / 50

Four friends step off together from the same spot.Β  Their steps measure 18 cm, 36 cm, 45 cm and 72 cm respectively.Β  What is the minimum distance each should cover so that all can cover distance in complete steps?

16 / 50

1054 is divided into three parts such that 2 times the first part, 3 times the second part and 5 times the third part are equal.Β  Find each of the three parts.

17 / 50

Simplify :

18 / 50

Select the incorrect option.

19 / 50

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

20 / 50

The given table shows the temperature of a city for seven days.

On which day does the temperature increase the most from the previous day?

21 / 50

The least number which when divided by 12, 16, 24 and 48 leaves a remainder of 3, 7, 15 and 39 respectively, is __________ .

22 / 50

The given table shows the number of sweaters knitted by Mrs Kapoor in seven months.
How many less sweaters did she knit in August than in November?

23 / 50

The given table shows the number of sweaters knitted by Mrs Kapoor in seven months.
How many total sweaters did she knit in these seven months?

24 / 50

Which of the following operations satisfies the commutative law for whole numbers?

25 / 50

Which of the following ratios is not equal to 3 : 8 in its simplest form?

26 / 50

Which of the following figures has at least one line of symmetry?

27 / 50

O is a point on the circle and P is a point in the exterior of the circle.Β  Length of Β = 7.5 cm and radius of the circle is 5.5 cm.Β  What will be the length of , if Q is the centre of the circle?

28 / 50

Find the sum of 43765 and 6954 by rounding off each number to the nearest hundred.

29 / 50

If P =Β  , Q = 3 Γ· [(8 Γ· 15) Γ· 16], R = [3 Γ· (8 Γ· 15)] Γ· 16 and S = 3 Γ· 8(15 Γ· 16), then which of the following are equal?

30 / 50

If , then the value of is

31 / 50

Arjun is facing South-East.Β  In which direction will he face, if he takes
(a) revolution anticlockwise?
(b) revolution clockwise?

32 / 50

A hall is 37.5 m long and 11.2 m wide.Β  Its floor is to be covered with rectangular tiles of size 15 cm by 7 cm.Β  Find the total cost of tiling the hall at the rate of β‚Ή 1.25 per tile.

33 / 50

Find the perimeter of the shaded region in the given figure.

34 / 50

Find the measure of the smaller angle formed by the hour hand and the minute hand of a clock at 8 O’ clock.

35 / 50

If 35.4067 = , then the value of 2P + 4Q + 5R + 7S + 3T is

36 / 50

Select the odd one out.

37 / 50

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

38 / 50

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

39 / 50

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

40 / 50

If Karan is the brother of Vijay, Sneha is the daughter of Vijay, Bharti is the sister of Karan and Atul is the brother of Sneha, then how is Karan related to Atul?

41 / 50

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

42 / 50

If 1 is subtracted from the tens digit and 1 is added to the unit digit in each of the given numbers, then which of the following numbers will become the greatest?

43 / 50

How many cubes are there in the given figure?

44 / 50

The position of how many letters in the word EXPLOSION will remain unchanged, when the letters of the word are arranged alphabetically?

45 / 50

There is a certain relationship between figures (1) and (2).Β  Establish the same relationship between figures (3) and (4) by selecting a suitable figure from the options which will replace the (?) in Fig.(3).

46 / 50

Umang walks 20 m towards South.Β  Then he turned left and walks 30 m.Β  Again, he turned left and walks 20 m.Β  Then he turned right and walks 15 m.Β  How far is he now from his initial position?

47 / 50

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

48 / 50

Which of the following sets of letters will continue the given letter series?

49 / 50

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

50 / 50

If in a certain code language, β€˜NATION’ is written as β€˜OZUHPM’, then how will β€˜REASON’ be written in the same language?

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The average score is 0%

🧠 How Past Year Papers Give You the Edge

πŸ”Ή Stronger Conceptual Clarity – The IMO goes beyond textbooks. Solving past papers helps you apply what you’ve learned in new, creative ways.

πŸ”Ή Learn to Handle Diverse Questions – From simple arithmetic to multi-step reasoning, you’ll get exposure to all types of problems.

πŸ”Ή Build Exam Strategy – Understand which sections take more time, how to guess smartly, and where to focus your energy.

πŸ”Ή Track Your Progress – Identify weak spots, fix common mistakes, and measure your improvement over time.

πŸ“˜ Class 6 IMO 2019-20: Key Topics to Cover

πŸ“Œ Number Sense – Factors, multiples, decimals, fractions, and operations
πŸ“Œ Algebra & Patterns – Basic expressions, simple equations, and sequences
πŸ“Œ Geometry & Mensuration – Angles, shapes, symmetry, perimeter, area, and volume
πŸ“Œ Data Interpretation – Charts, tables, bar graphs, and basic probability
πŸ“Œ Logical Reasoning – Series, coding-decoding, puzzles, and spatial reasoning

IMO Class 6 Question Paper 2019-20 Challenge Yourself!-SET"B"

1 / 50

Read the given statements carefully and select the correct option.
Statement-1 : A chord of a circle is a line segment joining any two points on the circle.
Statement-2 : Two intersecting lines are perpendicular, if the angle between them is 180Β°.

2 / 50

In a quiz, there are 50 questions. If all questions are answered correctly, a student's score will be 100; if all questions are answered incorrectly, a student's score will be –50. Part way through this quiz Rashi has a score of –5.Β  What will her new score be, if she
(a) answers 3 of the next 7 questions correctly and 4 of them incorrectly?
(b) answers 2 of the next 8 questions incorrectly and 6 of them correctly?

3 / 50

The total number of students who applied for government jobs in the five years in a state are given below.
Using the symbol to represent 500 students, answer the following questions.
(i) How many symbols are needed to represent the number of students who applied in 2014 ?
(ii) How many less symbols are needed to represent the number of students who applied in 2017 than those in 2015?

4 / 50

ABCD is a rectangle.Β  When the length and breadth of the rectangle are increased, the rectangle gets enlarged to LNCM.Β  If the length of rectangle ABCD is thrice its breadth, then find the
(a) sum of perimeter of rectangle ABCD and SNBA.
(b) area of rectangle LNCM.

5 / 50

Read the statements carefully and state β€˜T’ for true and β€˜F’ for false.
(i) A right angle is one fourth of a revolution.
(ii) Place value and face value are always equal at ones place.
(iii) The sum of two negative integers and a positive integer is always a negative integer.
(iv) The successor of every whole number is a natural number.

6 / 50

A postman covers 50 m distance to deliver a parcel to the customer.Β  He travels 0.017 km by bicycle and the rest on foot.Β  What distance does he cover on foot?

7 / 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.Β  If 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 ___________ .

8 / 50

A total of 225 playing cards are to be divided among Niharika, Raghav and Varun respectively in the ratio of 2 : 5 : 8. How many number of playing cards will Raghav get?

9 / 50

A stadium has a capacity of 1800 seats.Β  There are 300 seats each allotted for β‚Ή 300 tickets, 400 seats each for β‚Ή 450 tickets, 400 seats each for β‚Ή 500 tickets and the rest for β‚Ή 1000 tickets each.Β  If all the tickets are sold, then how much money would be collected?

10 / 50

There are as many men as women in the hall.Β  Β of the men and of the women wear formal dress.Β  What is the ratio of the people in the hall who do not wear formal dress to the total number of people in the hall?

11 / 50

Preeti travelled 3x km distance by walk, 9y km by cycle and 5 km by bus.Β  The total distance travelled by Preeti is ____________ .

12 / 50

Three big drums contains 44 litres, 55 litres and 99 litres of diesel.Β  What is the largest measure that can measure all the different quantities exactly?

13 / 50

A piece of cloth 8 m in width and 12 m in length has to be covered by square block prints.Β  If each side of the square block is 0.5 m in length, then how many such square blocks can be printed on the cloth?

14 / 50

Saumya had 9 two thousand rupee notes in her purse.Β  She spent β‚Ή 12850 on buying clothes, β‚Ή 1315 on buying fruits and vegetables, β‚Ή 840 on buying sweets and β‚Ή 180 on transport.Β  How much money is left with her?

15 / 50

Ashima, Jiya and Meera distributed 9.780 kg of sugar equally among themselves.Β  Ashima used all her sugar equally to make 20 chocolate shakes.Β  How much sugar did she use to make each shake?

16 / 50

In International System of numeration, the sum of 35486526 and 29637779 can be written as

17 / 50

Simplify :Β 

18 / 50

In the given figure, the ratio of shaded part to unshaded part is _________ .

19 / 50

Which of the following options is incorrect?

20 / 50

Find the sum of 185.32 (round off to nearest tenths), 64.698 (round off to nearest hundredths) and 36.952 (round off to nearest tenths).

21 / 50

Which of the following square(s) must be shaded so that the given figure is symmetric along both lines LM and AB?

22 / 50

In the given figure (not drawn to scale), if LMNO and TUVW are two identical squares, then find the area of the shaded region.

23 / 50

Which of the following number lines represents the expression 0 + (–3) + 10?

24 / 50

Kanika surveyed the students of her class to determine their favourite colours.Β  The results are shown in the given bar graph. Study it carefully and answer the following questions.Find the ratio of number of students who like purple colour than orange colour?

25 / 50

Kanika surveyed the students of her class to determine their favourite colours.Β  The results are shown in the given bar graph. Study it carefully and answer the following questions.

How many more students like green colour than orange colour?

26 / 50

72.432 Γ— 461.2 Γ— 0.0034 is same as ________________ .

27 / 50

If P, Q and R represent the prime digits, then find the value of P and Q respectively.

28 / 50

Which of the following equations has x = 3 as a solution?

29 / 50

Find the value of MCXXI + CMLXXXI – DLIV + XII.

30 / 50

How many parts should be shaded in Figure Y to make it the same shaded fraction as the unshaded fraction of Figure X?

31 / 50

The smallest number which when divided by 30, 45, 75 and 60 leaves a remainder of 21, 36, 66 and 51 respectively is

32 / 50

The given table shows the temperature of a place for 6 consecutive hours.

Calculate the difference between the highest and the lowest temperature of the place over the 6-hour period.

33 / 50

Which of the following hands of the clock shows Β of a revolution?

34 / 50

Find the difference between the place value of 4 in 3286.4023 and face value of 2 in 4568234.

35 / 50

Mihika constructed an angle of 120Β° and trisected it.Β  Measure of two angles taken together will be ___________ .

36 / 50

Arrange the given words as they occur in a dictionary and select the correct option.
1. DissidentΒ  Β  Β  Β  Β  Β  Β  Β  Β  Β 2. Dissolve
3. DissentΒ  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  4. Dissolute
5. Dissolution

37 / 50

Two positions of a dice are shown here.Β  Which number will be on the face opposite to the face having number 5?

38 / 50

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

39 / 50

In a certain code language, if COCHIN is written as DPDIJO, then how will LOCATE be written in the same language?

40 / 50

Select a figure from the options which will continue the same series as established by the Problem Figures.

41 / 50

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

42 / 50

Select the correct mirror image of the given figure, if the mirror is placed along PQ.

43 / 50

Choose the odd one out.

44 / 50

Which of the following figures is exactly embedded in the given figure as one of its parts?

45 / 50

If β€˜+’ stands for multiplication, β€˜Γ—β€™ stands for division, β€˜β€“β€™ stands for addition and β€˜Γ·β€™ stands for subtraction, then find the value of 10 – 18 Γ— 9 Γ· 4 + 3.

46 / 50

Which of the following Venn diagrams best represents the relationship amongst, "Football, Sports person and Men"?

47 / 50

Which of the following figures would complete the pattern in the given figure?

48 / 50

Study the set of numbers given below and answer the question that follows :
Which of the following numbers will be obtained, if the middle digit of the greatest number is added to the middle digit of the smallest number after adding one to each of the numbers?

49 / 50

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

50 / 50

Pointing to a woman in a photograph, Kartik said, β€œShe is the mother of the only daughter of my son”.Β  How is Kartik related to the woman in the photograph?

Your score is

The average score is 0%

🌟 Study Smart, Not Just Hard!

πŸ’¬ Group Practice – Discussing questions with friends brings new ideas and clarity
⏱️ Timed Mock Tests – Create exam-like conditions to improve speed and focus
πŸ“… Regular Revision – Set a schedule and stick to it for steady improvement

πŸ† Conclusion: Step into the Olympiad with Confidence!

Practicing with the IMO Class 6 Question Paper 2019-20 is a powerful way to prepare. It helps you understand the exam, sharpen your skills, and approach challenges with a confident mindset. With the right mix of practice, patience, and passionβ€”you’ve got what it takes to shine!

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