IMO Maths Olympiad Online Mock Test Class 10 Set D

Refer to IMO Maths Olympiad Online Mock Test Class 10 Set D below. Students of Class 10 Mathematics can do the below online test and refer to the full list of free Class 10 Mathematics Mock Online Test provided below. These online Mock tests for Mathematics in Class 10 have been designed based on the pattern of questions expected to come in the upcoming Class 10 examinations and the latest syllabus issued by Olympiad, NCERT and KVS and to help students strengthen their understanding of key topics. We have also provided MCQ Questions for Class 10 Mathematics with answers for all topics.

Online Mock Test for Class 10 Mathematics IMO Full Syllabus

In the online practice Mock test for Mathematics IMO Full Syllabus you can see the list of questions below with options out of which you have to select one correct answer and after completing the test you can check your answers and score. This mock test will help Class 10 students to check understanding of all topics in IMO Full Syllabus. This includes multiple choice questions from Class 10 Mathematics book to test your knowledge and boost confidence.

IMO Full Syllabus Mathematics Class 10 Mock Test

1. Samay has a right circular cylinder which he inserted completely into a right circular cone of height 30 cm. The vertical angle of the cone is 60° and the diameter of the cylinder is 8√3 cm. What is the volume of the cone?

2. I know a two digit number, but when its digits interchanges their places, we get another two digit number. But when these two digit numbers are added, it amounts to 99. Further if I just consider the difference between these numbers, it comes out to be 45. What is the number which I know?

3. Two pencils are 24 cm and 42 cm. If we want to make them of equal size then minimum number of similar pencils is _____.

4. Latika, Garima and Priya are three sisters. Latika and Garima are twins. The sum of the ages of Latika and Garima is same as that of Priya alone. Three years earlier the ratio of age of Latika and Priya was 2 : 7. What will be the age of Garima 3 years hence?

5. The monthly salary of Megha and Beena together is Rs. 28,000. The salary of Megha and Beena is increased by 25% and 12.5% respectively, then the new salary of Beena becomes 120% of the new salary of Megha. The new (or increased) salary of Megha is ______.

6. Two trains starting at the same time from two stations 300 km apart and going in opposite directions, cross each other at a distance of 160 km from one of them. The ratio of their speeds is _____.

7. A well with 14 m inside diameter is dugout 15 m deep. The earth taken out of it has been evenly spread all around it to a width of 21 m to form an embankment. What is the height of the embankment?

8. A cell-phone is available for ` 2500 cash or ` 520 cash down payments followed by 4 equal monthly instalments. If the rate of interest charged is 25% per annum, calculate the monthly instalment.

9. The given figures show

10. Shubham travels 760 km to his home partly by train and partly by car. He takes 8 hours if he travels 160 km by train and the rest by car. He takes 12 minutes more if he travels 240 km by train and the rest by car. Find the speed of the train and the car respectively (in km/hr).

11. A spherical ball of lead 6 cm in radius is melted and recast into three spherical balls. The radii of two of these balls are 3 cm and 4 cm. What is the radius of the third ball?

12. Two dice are tossed. The probability that the total score is a prime number is _____.

13. Which of the following statements is TRUE?

14. The following is the distribution of height of students of a certain class in a certain city. The given figures show Find the median height.

15. The given figures show

16. If the sum of the zeroes of the quadratic polynomial f(t) = kt2 + 2t + 3k is equal to their product, find the value of k.

17. If x be a rational number and y be an irrational number, then _____.

18. If 5 √5 × 53 ÷ 5−3/2 = 5a+2 , then the value of a is ______.

19. In the given figure, ∠A = ∠CED. Find the value of x. The given figures show

20. Find the value of a for which the following system of equations has infinitely many solutions.
2x + 3y = 7
(a – 1)x + (a + 2)y = 3a

21. In the given figure, AB is diameter of the circle. C and D lie on the semicircle. If ∠ABC = 65° and ∠CAD = 45°, then ∠DCA is ______. The given figures show

22. If –5 is a root of the quadratic equation 2x2 + px – 15 = 0 and the quadratic equation p(x2 + x) + k = 0 has equal roots, find the value of k.

23. What must be subtracted from the polynomial f(x) = x4 + 2x3 – 13x2 – 12x + 21 so that the resulting polynomial is exactly divisible by x2 – 4x + 3?

24. If the 3rd and 7th terms of an A.P. are 17 and 27 respectively. Find the first term of the A.P.

25. ABCD is a parallelogram. The diagonals AC and BD intersect at a point O. If E, F, G, and H are the mid-points of AO, DO, CO and BO respectively, then the ratio of (EF + FG + GH + HE) to
(AD + DC + CB + BA) is _____.

26. The following table gives weekly wages in rupees of workers in a certain commercial organization. The frequency of class 49 - 52 is missing. It is known that the mean of the frequency distribution is 47.2. Find the missing frequency. The given figures show

27. f cosθ = 3/5 , find the value of cotθ + cosecθ.

28. f x = 21/3 + 2–1/3, then the value of 2x3 – 6x will be ______.

29. H.C.F. of 3240, 3600 and a third number is 36 and their L.C.M. is 24 × 35 × 52 × 72. The third number is ______.

30. In the given figure, BC = AC = AD, ∠EAD = 81°. Find the value of x. The given figures show

31. The question below is based on the given diagram. You have to take the given diagram to be true even if it seems to be at variance from commonly known facts and then decide which of the given options logically follows the given diagram. The given figures show Which of the following represents the population which is graduate, employed in BPO and earning more than Rs 10,000 a month?

32. 2' is subtracted from each odd digit and '1' is added to each even digit in the number 7652348. Which of the following will be the sum of the second digit from the right and the third digit from the left of the new number thus formed?

33. The question is based on the following information:
'A @ B' means 'A is added to B'. 'A * B' means 'A is multiplied by B'.
'A # B' means 'A is divided by B'. 'A $ B' means 'B' is subtracted from A'.
In the question below, some information is given. You have to find out which expression correctly represents the statement.
Number of boys (B) in a class is equal to one-fourth of three times the number of girls (G) in the class.

34. Select a figure from the options which completes the Fig. (X)? The given figures show

35. In the question, two Problems Figures, followed by four Answer Figures (A), (B), (C) and (D) are given. The two Problem Figures have some common characteristics/features. Find out one figure out of the four Answer Figures which has the same features/characteristics. The given figures show

36. How many pairs of letters are there in the word GOALKEEPER which have the same number of letters between them as in English alphabet?

37. Fig. (i) & (ii) of the Problem Figures bears a certain relationship. Select a Fig. (iii) from the options which bears the same relationship to the Fig. (iv) of the Problem Figures. The given figures show

38. Nihal is taller than Sumit, who is shorter than Rohit. Vipin is taller than Akash. Anshu is shorter than Vivek. Neither Vipin nor Vivek is the tallest. If Rohit is standing second in decreasing order of height, who will stand in the middle in the group of these seven persons?

39. Following question is based on the 5 three-digit numbers given below:
517 394 823 976 465
If the position of the first and the second digits in each of the above numbers are interchanged, which of the following will be the third digit of the highest number?

40. In a certain code language 'you require more concentration' is written as 'tig seeg loog roog'; 'stress require for arithmetic' is written as 'miya lota loog kota'; 'non-verbal is more easy' is written as 'seeg yoog beeg laa' and 'stress more on non-verbal' is written as 'seeg mota yoog miya'. Then what is the code for 'require'?

41. Find the mirror image of Fig. (X) from amongst options, if the mirror is placed to the right of Fig. (X). The given figures show

42. Which of the following option figures will continue the same series as established by the Problem Figures? The given figures show

43. Pointing to a photograph a woman says : "He is the only son of the wife of my husband's father". How is the man related to the woman?

44. Eight friends P, Q, R, S, T, U, V and W are sitting around a circle facing the centre. V is third to the right of Q and is second to the left of R. Q is second to the left of T and on the immediate right of S. U is between Q and T. P is not on the left of R. Which of the following is the correct position of W?

45. Mohit walks 6 km to the east and then turns to the south and walks 5 km. Again he turns to the east and walks 6 km. Next, he turns northwards and walks 10 km. How far is he now from his starting point?

46. Read the following letter-number sequence carefully and answer the question.
J K P D F G H 6 9 2 8 Q E M 7 4 3 Z Y B T 5 4 2 3
If all the odd numbers are dropped from the above sequence, which of the following element would be seventh to the right of twelfth element from the right end?

47. Find out the wrong term in the given number series.
1236, 2346, 3456, 4566, 5686

48. Find out the figure from amongst the options which can be formed from the pieces given in Fig. (X). The given figures show

49. The different positions of a dice has been shown. What digit will be opposite to digit 4? The given figures show

50. Find the water image of the given combination.
DL2CA34

Olympiad Mathematics Mock online test Class 10 IMO Full Syllabus

The above link for IMO Maths Olympiad Online Mock Test Class 10 Set D will help you to check your understanding of all important concepts which have been prepared based on latest Olympiad Class 10 syllabus. The free online mock tests for IMO Full Syllabus Olympiad Class 10 should be used by students to check their understanding. We bring here the biggest collection of IMO Full Syllabus Class 10 Mathematics MCQ Test to help you prepare properly and get highest rank in exams. Students can attempt the mock tests for Class 10 Mathematics as many number of times as they want and also download a passing certificate after they have cleared the online test. These mock online tests for Class 10 Mathematics IMO Full Syllabus have been developed by our teachers after thorough review of the latest book and based on pattern of questions in upcoming exams.

Improve your preparation with IMO Maths Olympiad Online Mock Test Class 10 Set D

The IMO Full Syllabus mock online tests for Olympiad Class 10 Mathematics has been designed by our teachers to improve your understanding of this chapter. These online mock tests are structured so that it feels like real exam condition for students so that they can build their confidence and accuracy of answers. By daily practicing these MCQ based questions for Class 10 Mathematics with answers students will be able to identify key topics to focus on and improve performance. The mock tests have been updated as per the latest NCERT book for Class 10 Mathematics to help in your exam preparation.

Why choose to do IMO Maths Olympiad Online Mock Test Class 10 Set D?

Daily practicing the IMO Full Syllabus mock tests for Class 10 Mathematics has several benefits as they help to familiarize students with important concepts and effective time management skills. Each mock test for chapter IMO Full Syllabus given above includes a variety of questions that  have been selected from Question Papers for Class 10 Mathematics and cover all important topics so that you have full preparation. After completing the IMO Maths Olympiad Online Mock Test Class 10 Set D, Class 10 students can review the answers to identify mistakes and improve further. Access these free Class 10 online mock tests anytime and take a step closer to achieving excellence in your Mathematics exams.

How to do Mock Test for Class 10 Mathematics IMO Full Syllabus?

Follow these simple steps to attempt the test:
a. The IMO Maths Olympiad Online Mock Test Class 10 Set D has 15-20 questions for Class 10 students as per Olympiad Class 10 Mathematics Sample Papers pattern.
b. Each IMO Full Syllabus question has four options, students of Class 10 must read the question carefully and choose the correct answer.
c. Answer all questions given above for IMO Maths Olympiad Online Mock Test Class 10 Set D.
d. Once you have answered all the IMO Full Syllabus Class 10 MCQ based questions, click on the Submit button.
e. Your score of Online test for IMO Maths Olympiad Online Mock Test Class 10 Set D will be shown instantly above.
f. To check your mistakes in MCQ based test for IMO Full Syllabus in Mathematics for Class 10, scroll up and see the correct answers.
g. You can attempt the IMO Maths Olympiad Online Mock Test Class 10 Set D as many times to improve your score in Olympiad Class 10 Mathematics exams.

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Doing studies and then attempting the Mock Online Test given on studiestoday for Class 10 subject Mathematics and chapter IMO Full Syllabus can help you to score better marks in exams

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Can I check my marks and correct answers after completing mock test for IMO Full Syllabus Class 10 Mathematics?

You can check score and correct answers after clicking completing the mock test and clicking submit button for Olympiad Class 10 Mathematics IMO Full Syllabus