Free Class 6 IMO Question Paper 2023-24 | Online Practice for International Maths Olympiad

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Get ready for the International Mathematics Olympiad (IMO) 2023-24 with the Class 6 question paper! Practicing with real Olympiad questions helps you gain an authentic exam experience, improve problem-solving skills, and strengthen mathematical concepts.

Engaging with the International Mathematics Olympiad not only boosts your mathematical skills but also builds confidence in tackling challenging problems. The IMO is one of the most prestigious mathematics competitions globally, attracting students who are eager to excel. By practicing with the Class 6 question paper, you familiarize yourself with the type of questions that frequently appear in the competition, which can significantly enhance your performance.

QUESTION PAPER SET “A“

IMO Class 6 Question Paper 2023-24 Challenge Yourself!-SET"A"

1 / 50

Some letters are coded as follows:

Which of the following word is coded as *@+5$@5?

2 / 50

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

3 / 50

How many such 6’s are there in the given arrangement each of which is immediately preceded as well as immediately followed by an alphabet?

4 / 50

Three different positions of a cube are shown below. Which symbol will be at the top, when # is at the bottom?

5 / 50

Nikhil walks 30 m towards West. Then he turns left and walks 40 m. He again turns left and walks 30 m. Finally, he turns left and walks 10 m. Which direction is he facing now?

6 / 50

Find the number of squares formed in the given figure.

7 / 50

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

8 / 50

Which of the following Venn diagrams best represents the relationship amongst, “Vowels, Alphabets and Natural numbers”?

9 / 50

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

10 / 50

L is the mother of P. P is the brother of E and R is the sister of E. How is L related to R?

11 / 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)

12 / 50

The distance between Akash’s school and his home is 2 km 385 m. Every day, he walks to and from the school. Calculate the total distance covered by him from Monday to Friday.

13 / 50

A gardener has 389 saplings to be planted in 16 rows. How many saplings will he not be able to plant, if he can accommodate only 24 saplings in each of the 16 rows?

14 / 50

2226560 voters are to be equally distributed among 245 polling booths. How many voters will be there in each polling booth?

15 / 50

The distance around the school field is 3 km 500 m. Rinki ran 3 rounds of the field and Sneha ran 4 rounds of the same field. What was the total distance covered by them?

16 / 50

Three sets of Science, Sanskrit and Computer books have 96, 240 and 336 books respectively.  If they have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same, then find the number of stacks.

17 / 50

The cost of an air ticket of a passenger named Ramesh is ₹ 5170.50. He also had to pay an excess baggage charge of ₹ 515.75. If he gives ₹ 6000 at the counter, then how much change does Ramesh get back?

18 / 50

Find the value of 415 – 719 + 1014 – 2015.

19 / 50

The total weight of two baskets P and Q of fruits is 9 kg 120 g. If the weight of fruit basket P is 2 kg more than that of fruit basket Q, then what is the weight of fruit basket Q?

20 / 50

Which of the following statement(s) is/are true?
P. The place value of encircled digit in 58 632 is 70000.
Q. In Indian system of numeration, the commas after 3 and 6 digits from the right separates ones and thousands periods respectively.

 

21 / 50

The number of diagonals that can be drawn in the given figure is __________________ .

22 / 50

On a book shelf, books with green cover and that with brown cover are in the ratio 2 : 7.  If there are 56 books with brown cover, then find the number of books with green cover.

23 / 50

If 301 is the successor of X and Y is the predecessor of – 500, then find the value of X + Y.

24 / 50

How many more squares must be unshaded so that the given figure has 0.25 as shaded decimal part?

25 / 50

Which of the following equations justify the given statement?
“When x is divided by y, the quotient is added to the product of x and y”.

26 / 50

Which of the following number lines represents 0 + 8 – 3?

27 / 50

The given bar graph shows the number of railway tickets sold for different cities from a railway ticket counter between 5:00 a.m. and 10:00 a.m. Study the given graph carefully and answer the following question.

What is the ratio of number of tickets sold for Kanpur to the total number of tickets sold for both Jaipur and Lucknow?

28 / 50

The given bar graph shows the number of railway tickets sold for different cities from a railway ticket counter between 5:00 a.m. and 10:00 a.m. Study the given graph carefully and answer the following question.

If the cost of each ticket of Delhi and Ahmedabad is Rs.190 and Rs. 250 respectively, then find the total amount collected for the tickets sold for Delhi and Ahmedabad.

29 / 50

The largest 4-digit and smallest 4-digit numbers formed by using the digits 4, 0, 3, 7 (each digit used only once) respectively are ______             .

30 / 50

Find the perimeter of the shaded part of the given figure.

31 / 50

What type of angle is formed by the hands of the given clock?

32 / 50

Compare and fill the box.
MCMXCVII + DCCLXX MMDCV + CDXLVII

33 / 50

34 / 50

The figure PRSU is made up of three rectangles. The area of each rectangle is given inside the rectangles.  If the length of PQ is 7 cm, then find the length of US.

35 / 50

How many number of lines of symmetry are there in the given figure?

36 / 50

How many pairs of parallel lines are there in the given figure?

37 / 50

The sum of common prime factors of 810 and 950 is                              .

38 / 50

Select the correct water image of the given word.

39 / 50

If ‘@’ denotes ‘÷’, ‘#’ denotes ‘+’, ‘$’ denotes ‘×’ and ‘%’ denotes ‘–’, then find the value of 21 @ 7 $ 5 # 12 % 9.

40 / 50

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

41 / 50

There is a certain relationship between the terms on the either side of : :. Identify the relationship in the left pair and find the missing term.

TMF : VNH : : KVS : ?

42 / 50

Find the algebraic expressions for each of the following and select the correct option.
(i) Monika is ‘x’ years old. Write her grandfather’s age, if he is 8 times of what Monika will be 3 years from now.
(ii) If the length of the floor of a rectangular hall is four more than its breadth b, then find the perimeter of the floor of the hall in the terms of b.

43 / 50

Read the given statements carefully and select the correct option.
Statement-I : If three friends share the profit of  15000 in the ratio 2 : 3 : 5, then their shares are ₹ 3000, ₹ 4500 and ₹ 7500 respectively.
Statement-II : If 8, 24, x, 36 are in proportion, then the value of x is 15.

44 / 50

Which of the following statements is false?

 

45 / 50

Uncle Tom spends    of his household expenses on groceries and  of it on utilities. The rest of his household expenses is spent on pet grooming.

(a) If each pet uses  of his household expenses, then how many pets does Uncle Tom have?

(b) If he spends ₹ 2100 on pet grooming, then how much is household expenses?

46 / 50

Read the given statements carefully and state T for true and F for false.
(i) The least number which when divided by 26, 56 and 104 leaves the remainder 1 in each case is 729.
(ii) The least value of x, when 57x897 is exactly divisible by 3, is 7.
(iii) Number of pairs of twin prime numbers between 10 and 30 is 2.

47 / 50

The length of a rectangular park is 350 m and breadth is  times of its length. Find the cost of fencing the rectangular park at the rate of ₹ 15 per metre.

48 / 50

The population of a town was 52845 in the year 2005 and 77561 in the year 2015. Estimate the increase in population by rounding off each population to nearest hundreds.

49 / 50

A floor is 10 m long and 7.5 m wide. A square carpet of side 3.5 m is laid on the floor. Find the area of the floor that is not carpeted.

50 / 50

A truck requires 78 litres of diesel for covering a distance of 702 km. How much diesel will be required by the truck to cover a distance of 2340 km?

Your score is

The average score is 29%

0%

Building a Strong Foundation – Preparing for the IMO helps students develop a robust understanding of mathematical principles. It encourages critical thinking and problem-solving abilities. Students who participate not only learn how to solve specific problems but also how to approach new and unfamiliar challenges, which is a skill that will serve them well throughout their academic careers.

Moreover, practicing with past question papers allows students to encounter a variety of question formats and styles. This exposure is invaluable as it helps students adapt their strategies and techniques to different types of problems, thus enhancing their flexibility and creativity in mathematical thinking.

Example Topics in Depth – For instance, in arithmetic, topics may include operations with whole numbers, fractions, and decimals. In algebra, students typically explore equations and inequalities, while number theory might cover prime numbers and divisibility rules. Familiarizing oneself with these topics through the question paper can demystify complex concepts and make learning enjoyable.

Additionally, timed practice promotes a sense of urgency that encourages students to think quickly and make decisions efficiently. This is crucial during the actual exam where every second counts. Students learn to prioritize questions based on their proficiency and manage their time wisely, which is an essential skill in both academics and beyond.

Learning from Mistakes – After completing the question paper, it’s important to review the answers. This step helps students understand their mistakes and learn from them. Reflecting on incorrect answers can highlight specific areas where additional study is needed, making subsequent practice sessions more targeted and effective.

Enhancing Engagement – To further enhance the learning experience, consider forming study groups with peers. This collaborative approach fosters discussion, idea exchange, and diverse problem-solving techniques. Working with others can make preparation more enjoyable and less isolating. Students can quiz each other, share tips, and tackle challenging problems together, which can lead to a deeper understanding of the material.

Conclusion – In conclusion, utilizing the IMO 2023-24 question paper is a strategic step towards achieving excellence in mathematics. By engaging with the content, practicing consistently, and reflecting on performance, students can build the necessary skills to excel not just in the IMO but also in their overall academic journey. Remember, every practice session brings you one step closer to mastering mathematics.

QUESTION PAPER SET “B”

IMO Class 6 Question Paper 2023-24 Challenge Yourself!-SET"B"

1 / 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.

2 / 50

Which of the following options will complete the given series?

3 / 50

Pointing to a person, Rekha said, “He is the father of my daughter’s brother.”  How is that person related to Rekha?

4 / 50

If ‘L’ stands for ‘addition’, ‘M’ stands for ‘multiplication’, ‘N’ stands for ‘division’ and ‘P’ stands for ‘subtraction’, then find the value of 26 L 18 N 3 P 6 M 5.

5 / 50

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

6 / 50

Arrange the given words as they occur in a dictionary and select the correct option.
1. Cloud               2. Cough
3. Climb               4. Catch
5.Cutting

7 / 50

In the given Venn diagram, which of the following number represents school students who are healthy but not dancers?

8 / 50

Find the number of triangles formed in the given figure.

9 / 50

Select the odd one out.

10 / 50

Which of the following alphabets lies on the face opposite to the face having alphabet E, when the given sheet is folded to form a cube?

11 / 50

Select the correct mirror image of the given figure.

12 / 50

In a certain code language, if BHOPAL is written as HBPOLA, then how will PUNJAB be written in the same code language?

13 / 50

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

14 / 50

Aryan is facing towards North-East. He turns 135° clockwise and then 270° anti-clockwise. In which direction is he facing now?

15 / 50

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

16 / 50

Which of the following options shows the same result as the shaded fraction of the given figure?

17 / 50

Find the ratio of the number of vowels to the number of consonants in the given word.

18 / 50

Which of the following squares must be unshaded so that the given figure has a line of symmetry?

19 / 50

Compare and fill the box.

20 / 50

Find the difference between the successor of greatest 5-digit number and the predecessor of 5150.

21 / 50

Select the correct option.

22 / 50

Find the sum of first five multiples of smallest composite number.

23 / 50

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

24 / 50

64.327 × 257.2 × 0.0097 is same as

25 / 50

Find the number of angles formed inside the given figure.

26 / 50

If P is the sum of MCMLIX and MDCCLXV, then which of the following options shows the result when P is rounded off to nearest thousands?

27 / 50

Anurag made a pictograph which shows the number of customers visited during the first week in his new salon. ow many less customers visited the salon on Tuesday and Thursday together than on Sunday?

How many less customers visited the salon on Tuesday and Thursday together than on Sunday?

28 / 50

Anurag made a pictograph which shows the number of customers visited during the first week in his new salon.

Find the fraction of the number of customers visited on Friday, Saturday and Sunday altogether to the total number of customers visited in the whole week.

29 / 50

What should be subtracted from 9th multiple of 18 to get 7th multiple of 15?

30 / 50

Which of the following options will not represent a whole number?

31 / 50

How many of the given letters have perpendicular lines?

32 / 50

If 5, 4, x, 18 are in proportion, then the value of x is

33 / 50

How many of the following figures are closed?

34 / 50

Which of the following options shows the expression for, “The product of 18 and x is divided by twice the sum of 18 and x”?

35 / 50

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

36 / 50

A truck carries 45 boxes. Each of the boxes contains 30 packages. Each of the packages contains 12 toy cars. How many total toy cars are carried in the truck?

37 / 50

Kartik has a string of length 416 cm. He used the string to make two identical squares. Find the side of each square.

38 / 50

If two tankers contain 850 litres and 680 litres of kerosene oil respectively, then the maximum capacity of a container which can measure the kerosene oil out of both the tankers when used an exact number of times is _______________ .

39 / 50

A farmer has a total of 175 chickens and ducks on his farm. The ratio of number of chickens to the number of ducks is 3 : 2. If he gives 38 chickens and 25 ducks to his brother, then how many chickens will be left with him?

40 / 50

In a group of 27 boys and 32 girls,  of the boys failed in a test while  of the girls passed in the test.  What fraction of the group passed the test?

41 / 50

An institution bought 24 whiteboards and 420 computers. If the cost of each whiteboard is ₹ 4200 and that of each computer is ₹ 24000, then find the total amount spent by the institution on whiteboards and computers.

42 / 50

In a family, consumption of sugar is 45 kg in 90 days. In how many days will the family consume 360 kg sugar?

43 / 50

Some tiles are required to cover the swimming pool base of dimensions 5.6 m by 4.2 m with the rectangular tiles. Find the number of tiles required, if length and breadth of each tile are 12 cm and 8 cm respectively.

44 / 50

Priya made cookies. She gives some cookies to her friends, still 15 cookies are left with her. If the number of cookies Priya gave is x, then find the total number of cookies made by her.

45 / 50

During the day, a petrol pump was filled up with 560.75 L and 343.35 L of petrol. The quantity of petrol sold during the day was 615.45 L. How much petrol is left in the pump at the end of the day?

46 / 50

Match the following and select the correct option.
Column-I                                                                               Column-II
(p) The additive inverse of                                                          (i) 99
(– 40) – (–57) – (90) is ________ .
(q) The successor of predecessor of -99 is ________ .                   (ii) 109
(r) The difference between the greatest 4-digit number             (iii) 73
and the additive inverse of (–9890) is ________ .

47 / 50

Read the given statements carefully and state T for true and F for false.
(i) The greatest 6-digit even number that can be formed by using the digits 5, 2, 1 and 3 (using each digit at least once) is 533312.
(ii) The number 75189312 in International system of numeration is written as seventy five million one lakh eighty nine thousand three hundred and twelve.
(iii) If X is the sum of place values of digit 5 and 8 in the number 25698714, then the successor of X is 5007999.

48 / 50

Read the given statements carefully and select the correct option.
Statement-I : The smallest 4-digit number which is exactly divisible by 18, 24 and 32, is 1152.
Statement-II : The common prime factors of 16 and 50 are 2 and 3.

49 / 50

Fill in the blanks and select the correct option.
(i) The value of 2412.378 + 1598.542 – 3197.08, is    (P)    .
(ii) If the cost of 43 school bags is ₹ 19543.50, then the cost of 1 school bag is     (Q)   .
(iii) The shaded decimal part of the given below figure is       (R)     .

50 / 50

Solve the following and select the correct option.
(i) Find the area of the given figure (not drawn to scale).

(ii) Find the cost of tiling a rectangular piece of land 500 m long and 200 m wide at the rate of ₹ 8.5 per hundred sq. m.

Your score is

The average score is 1%

Why Use the IMO 2023-24 Question Paper?

Authentic Olympiad Preparation – The IMO 2023-24 question paper mirrors the actual exam format and difficulty level, ensuring precise and effective practice.

Comprehensive Topic Coverage – Includes key topics such as arithmetic, algebra, number theory, geometry, and logical reasoning, aligning with the IMO syllabus.

Timed Practice for Better Performance – Simulate real exam conditions to enhance speed, accuracy, and time management skills.

Identify Strengths & Weaknesses – Assess your skills, recognize areas for improvement, and refine your problem-solving techniques.

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