Free Class 6 IMO Question Paper 2020-21 | Practice Online for International Maths Olympiad

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✨ Level Up Your Maths Skills with Real Olympiad Questions!

Preparing for the International Mathematics Olympiad (IMO)? There’s no better way to get ahead than by practicing with actual questions from the IMO 2020-21 Class 6 paper. It’s the perfect tool to test your knowledge, improve accuracy, and boost your problem-solving confidence!

💥 Why Practice with the IMO 2020-21 Question Paper?

✅ Get a Real Exam Feel – Experience the actual question format and difficulty level.
✅ Sharpen Problem-Solving Skills – Train your mind to think logically and work through challenges step by step.
✅ Strengthen Core Maths Concepts – Master the topics covered in the Class 6 IMO syllabus.
✅ Enhance Speed & Accuracy – Learn how to manage your time smartly during the exam.

IMO Class 6 Question Paper 2020-21 Challenge Yourself!-SET"A"

1 / 50

Study the following statements and select the correct option.
Statement 1: The largest 5-digit number having three different digits is 99987.
Statement 2 : A whole number is added to 10 and the same number is subtracted from 10.  Then the sum of the resulting numbers is 20.

2 / 50

Select the incorrect option.

3 / 50

Fill in the blanks and select the correct option.
• The join of two adjacent vertices is called an   P   .
• A   Q   is one that does not cross itself.
• Two or more distinct lines meeting at a point are called   R   lines.

4 / 50

The given bar graph shows the number of cars sold by two showrooms in five months.  Study the graph carefully and answer the following questions.

(a) How many less cars were sold by Showroom P than Showroom Q in January, March and April altogether?
(b) Find the ratio of total cars sold in February to the total number of cars sold in 5 months.

5 / 50

Match the figures given in the Column 1 with their line(s) of symmetry given in Column 2.
Column 1                               Column 2
(P) Equilateral triangle            (1) 0
(Q) Square                              (2) 3
(R) Parallelogram                    (3) 2
(S) Rhombus                           (4) 4

6 / 50

A shopkeeper has 423 kg of sugar.  He sells 42 kg of sugar every day.  Estimate how much sugar is left after 6 days sale to the nearest hundred.

7 / 50

Vaani buys a dress costs ₹ 2874.  Which of the following is the correct roman numeral (in ₹) for the cost of the dress?

8 / 50

Nandini had some fruits.  She packed them into 36 packets of 12 fruits each.  She found that she had 6 fruits left.  How many fruits she had at first?

9 / 50

A wheel makes 115 revolutions in  hour.  At this rate, how many revolutions with it make in 8 hours?

10 / 50

On one day, the temperature on a hill at 7 p.m. was 6°C but at mid-night, it fell down to –4°C. By how many degrees did the temperature fall?

11 / 50

Tarun bought 2 shirts of ₹ 250 each, 2 scarfs of ₹ 175.50 each and 4 belts of ₹ 75.75 each. How much amount of money did he spend in all?

12 / 50

Kartik reads 200 pages of a book out of 320 pages.  Kanika reads of the same book. Who read less pages and by how much?

13 / 50

A car travels 180 km in 6 hours and a bus travels 315 km in 9 hours at uniform speeds. Find the ratio of distance travelled by car to bus in one hour.

14 / 50

An athlete takes 4 rounds of a rectangular park 140 m long and 60 m wide. Find the total distance covered by him.

15 / 50

The length, breadth and height of a room are 8 m 25 cm, 6 m 75 cm and 4 m 50 cm respectively. Determine the longest tape which can measure the three dimensions of the room exactly.

16 / 50

The expression obtained when p is multiplied by 5 and then subtracted from 8 is ___________ .

17 / 50

Which of the following ratios are not in proportion?

18 / 50

Find the fraction with denominator 120 whose decimal value is 0.65.

19 / 50

How many right angles will you make, if you face South and turn clockwise to East?

20 / 50

Find the difference between the largest 7-digit number and the smallest 7-digit number formed by using the digits 4, 0, 3, 9 and 7 (using each digit at least once).

21 / 50

___________ is the additive identity and ___________ is the multiplicative identity respectively for whole numbers.

22 / 50

The points that lie in the exterior of YOZ are/is

23 / 50

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

24 / 50

How many minimum number of squares that must be shaded to make the given figure symmetric?

25 / 50

There are x students in a class. If there are y girls, then find the ratio of number of boys to the total number of students.

26 / 50

27 / 50

The product of a natural number and its successor is always _________ .

28 / 50

Which of the following set of angles can form a triangle?

29 / 50

Which of the following number lines correctly represents (–5) – (–3)?

30 / 50

Given figure is made up six regular hexagons. If the perimeter of the given figure is 108 cm, then find the length of each side of the hexagon.

31 / 50

Which of the following is a perfect number?

32 / 50

A number is divisible by 4, if ____________ .

33 / 50

Study the following statements and select the correct option.
P : A variable can take different values.
Q : The value of a variable which satisfies the given equation is called its solution.

34 / 50

6 tenths more than the sum of 3.25 and 5.79 is _________ .

35 / 50

The additive inverse of the sum of the integers –9853 and –3187 is ___________ .

36 / 50

Which of the following Venn diagrams best represents the relationship amongst, “Women, Mothers and Widows”?

37 / 50

Find the water image of the given figure.

38 / 50

Which of the following figures will complete the given figure matrix?

39 / 50

In a row of 50 students, if Raman is  from the top, then what is his rank from the bottom?

40 / 50

Pointing to a photograph, P said to his friend Q, "She is the only daughter of the father of my mother".  How is P related to the person in the photograph?

41 / 50

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

42 / 50

Two positions of a dice are shown below. If 5 is on the top, then which number will be at the bottom?

43 / 50

Kanika correctly remembers that Pratik's birthday is before Sunday but after Thursday.  Vipul correctly remembers that Pratik's birthday is after Friday but before Monday.  On which of the following days does Pratik's birthday definitely fall?

44 / 50

How many meaningful English words can be formed with the letters C, E, I, V using each letter only once in each word?

45 / 50

How many triangles are there in the given figure?

46 / 50

There is a certain relationship between the left pair of the alphabets. Establish the same relationship in the right pair and find the missing term.

47 / 50

How many 3's are there in the given series which are immediately preceded by 9 as well as immediately followed by 6?

48 / 50

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

49 / 50

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

50 / 50

If ROSE is coded as 5436, CHAIR is coded as 78915, then what will be the code for SEARCH?

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🎯 How Past Year Papers Help You Succeed

🔹 Build a Rock-Solid Foundation – Olympiad questions encourage deep thinking and true understanding of mathematical principles.

🔹 Get Comfortable with Question Types – From tricky MCQs to analytical puzzles, the IMO has a variety of formats. Practicing with past papers ensures you’re ready for anything.

🔹 Simulate the Exam Experience – Set a timer and attempt the paper like it’s the real thing. It’s the best way to improve under pressure.

🔹 Identify & Fix Mistakes – Reviewing your answers helps you catch errors and sharpen your weaker areas.

🧠 Important Topics in IMO Class 6 (2020-21)

📌 Number System – Whole numbers, decimals, fractions, and their properties
📌 Algebra Basics – Simple expressions and equations
📌 Geometry & Mensuration – Shapes, symmetry, perimeter, area, volume
📌 Data Handling – Tables, charts, bar graphs, and probability basics
📌 Logical Reasoning – Sequences, patterns, direction sense, and more

IMO Class 6 Question Paper 2020-21 Challenge Yourself!-SET"B"

1 / 50

Which of the following options represents the incorrect match of the given figures and their number of edges?

2 / 50

The given line graph shows the runs scored by two players in 5 matches.  Study the graph and answer the following questions.

(a) How many less runs did the player 2 score than player 1 in matches 2 and 4 together?
(b) How many total runs were scored by player 2 in all the 5 matches?

 

3 / 50

A train covers a distance of 330 km in 6 hours.
(i) How long will it take to cover a distance of 605 km?
(ii) How far it will travel in 7 hours 30 minutes?

4 / 50

Study the following statements 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 : A segment of a circle is a region in the interior of the circle enclosed by an arc and a chord.

5 / 50

Aruna had some cookies.  She gave of the cookies to her brother.  Then she ate 18 cookies and gave 17 cookies to her mother.  She then had of the total cookies left.

(a) How many cookies did she have at first?
(b) What fraction of total cookies she ate?

6 / 50

Seema drew the following shapes on a paper.
How many symmetrical shapes did she draw?

7 / 50

Deepak had 17.45 litres of water.  He gave 8.30 litres water to his neighbour.  The quantity of water left with him is ________ .

8 / 50

The population of a city in the year 2019 was 3546253. Round off the population to the nearest ten thousands.

9 / 50

Sarthak bought  of ribbon and Saumya bought of ribbon.  Who bought more ribbon and by how much?

10 / 50

A milkman supplies 28 litres of milk to a society in the morning and 36 litres of milk in the evening.  If the milk costs ₹ 62 per litre, then how much money did the milkman earn per day?

11 / 50

Sneha has ₹ 40x.  She spent ₹ 250 on food, ₹ 75y on clothes, ₹ 375 on travel and received ₹ 1500 as birthday gift.  How much money is left with her?

12 / 50

The floor of a room with dimensions 15 m and 13 m is to be covered with square tiles.  If each square tile is of side 25 cm, then find the number of tiles required.

13 / 50

950 crankcases are manufactured every day in a factory. How many such cases will be manufactured altogether in the months of October, November and December? (Assume that the factory works on all days in these 3 months.)

14 / 50

A scientist took two samples. He froze one sample at –39°C and the other at –62°C. What is the temperature difference between these two samples?

15 / 50

Mrs Sharma earns ₹ 45000 per month.  She spends ₹ 38750 and saves the rest.  Find the ratio of her savings to her income.

16 / 50

Find the solution of

17 / 50

How many pairs of perpendicular lines are there inside the given figure?

18 / 50

Study the following pattern and find the general rule which gives the number of matchsticks used in  term.

19 / 50

Which of the following is best represented by the integer (– 50)?

20 / 50

Study the following statements and select the correct option.
P : Roman numeral V can be subtracted from X only.
Q : The smallest 4-digit number formed by the digits 1, 4, 0, 9 without repetition is 1409.

21 / 50

The perpendicular bisector of a line segment is a perpendicular to the line segment that divides it into ___________ parts.

22 / 50

Subtract the sum of 23.456 and 18.75 from 98.735 and round off resultant to the nearest hundredths.

23 / 50

The sum of all the factors of a perfect number is _____________ the number.

24 / 50

Find the number of lines of symmetry of the given figure.

25 / 50

If the given figure is made up of a square and four identical rectangles, then find the ratio of shaded area to the area of the whole figure.

26 / 50

What fraction of the given figure is shaded?

27 / 50

Which of the following property is shown below?

28 / 50

If x = 30, y = 40 and z = 8, then find the value of x ÷ (y ÷ z).

29 / 50

Find the value of .

30 / 50

Which of the following is equal to

31 / 50

Find the sum of all odd factors of 42.

32 / 50

Which of the following shapes has all the faces identical?

33 / 50

The area of a rectangle is 49 .  If its breadth is 2.8 cm, then find its perimeter.

34 / 50

By how much is two-fifth of 125 is smaller than three-eighth of 256?

35 / 50

Find m, if four numbers m, 24, 72, 96 are in proportion.

36 / 50

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

37 / 50

In the given Venn diagram, which of the following number represents the married females who are not employed?

38 / 50

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

39 / 50

Which of the following cubes can be formed if the given sheet of paper is folded to form a cube?

40 / 50

Suhani is facing towards South-West.  She turns 225° anticlockwise and then 315° clockwise.  Which direction is she facing now?

41 / 50

If the digits of the following numbers are reversed and then the numbers are arranged in descending order, then what will be the sum of the digits of the second number?

42 / 50

Find the odd one out.

43 / 50

Find the mirror image of the given figure, if mirror is placed along MN.

44 / 50

If ‘+’ denotes ‘division’, ‘–’ denotes ‘addition’, ‘×’ denotes ‘subtraction’ and ‘÷’ denotes ‘multiplication’, then find the value of 18 – 12 + 6 ÷ 2 × 5.

45 / 50

Arrange the given words as they occur in a dictionary and select the correct option.
1. Feminine                 2. Feature
3. Feeding                   4. Fenestration
5. Feather

46 / 50

In which of the following figures, the given figure is exactly embedded as one of its parts?

47 / 50

Niharika is  from the right end and  from the left end in a row of girls.  How many girls are there in the row?

48 / 50

Which of the following options will complete the pattern in the given figure?

49 / 50

Introducing Aman, Kritika says, "His daughter's mother is the only daughter of my father's wife". How is Kritika related to Aman?

50 / 50

If in a certain code language, EQUATION is written as GSWCRGML, then how will LATITUDE be written in same language?

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🎉 Make Your Prep Fun & Effective!

💡 Study in Groups – Solve tricky questions together and learn new strategies
💡 Set Personal Challenges – Track your speed and accuracy with regular mock tests
💡 Be Consistent – A little practice every day goes a long way!

🚀 Final Thoughts: Start Strong with the 2020-21 Paper!

The IMO Class 6 2020-21 question paper is more than just practice—it’s your gateway to excelling in competitive mathematics. With focus, regular revision, and smart preparation, you’ll be all set to conquer the Olympiad and shine bright in maths!

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