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IMO Mock Test – Class 8
IMO Mock Tests for Class 8 is designed for International Math Olympiad Preparation.
The IMO Class 8 online mock test paper is free for all students.
This paper has 50 questions.
Time allowed is 60 minutes.
There are 3 sections: 20 questions in section I, 20 in section II and 10 in section III.
The IMO Mock tests for Class 8 given here will help the student get an accurate idea of the types of questions asked in the International Math Olympiad and also help prepare timing and accuracy.
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Question 1 of 50
1. Question
Category: Logical ReasoningChoose a number from the options that will continue the same pattern and replace the question mark in the given series.
6, 13, 25, 51, 101, __ ?

Question 2 of 50
2. Question
Category: Logical ReasoningIn a row of boys facing North, A is sixteenth from the left end and C is sixteenth from the right end. B, who is fourth to the right of A, is fifth to the left of C in the row. How many boys are there in the row?

Question 3 of 50
3. Question
Category: Logical ReasoningChoose the correct mirrorimage of Fig. (X) from amongst the options if the mirror is placed along PQ.

Question 4 of 50
4. Question
Category: Logical ReasoningThe given equation becomes correct due to the interchange of two signs. One of the four options under it specifies the interchange of signs in the equation which when made will make the equation correct. Find the correct option.
5 + 6 ÷ 3 – 12 × 2 = 17

Question 5 of 50
5. Question
Category: Logical ReasoningChoose one word which can be formed from the letters of the given word.
RECOMMENDATION

Question 6 of 50
6. Question
Category: Logical ReasoningFigures (i), (ii), (iii) and (iv) constitute the Problem Set. 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 question mark (?) in fig. (iv).

Question 7 of 50
7. Question
Category: Logical ReasoningChoose the Venn diagram which best illustrates the three given classes “Dogs, Animals, Pets”.

Question 8 of 50
8. Question
Category: Logical ReasoningA matrix of certain characters is given. These characters follow a certain trend, rowwise or columnwise. Find out this trend and choose the missing character from the given options.
2 2 256 3 2 ? 4 2 46656 
Question 9 of 50
9. Question
Category: Logical ReasoningCount the number of triangles in the given figure.

Question 10 of 50
10. Question
Category: Logical ReasoningSelect a figure from amongst the options which would complete the pattern of Fig. (X).

Question 11 of 50
11. Question
Category: Logical ReasoningChoose that set of numbers from the options that is similar to the given set.
(81, 77, 69)

Question 12 of 50
12. Question
Category: Logical ReasoningA man is facing northwest. He turns 90° in the clockwise direction and then 135° in the anticlockwise direction. Which direction is he facing now?

Question 13 of 50
13. Question
Category: Logical ReasoningSelect from amongst the options as to how the pattern would appear when the transparent sheet is folded along the dotted line.

Question 14 of 50
14. Question
Category: Logical ReasoningChoose the odd numeral pair/group.

Question 15 of 50
15. Question
Category: Logical ReasoningIf ZIP = 30 and ZAP = 38, then how will you code VIP?

Question 16 of 50
16. Question
Category: Logical ReasoningHow many 5’s are there in the following number sequence which are immediately preceded by 7 and immediately followed by 6?
7 5 5 9 4 5 7 6 4 5 9 8 7 5 6 7 6 4 3 2 5 6 7 8

Question 17 of 50
17. Question
Category: Logical ReasoningThere are seven figures, the first and last of which are unnumbered and the remaining are numbered as 1, 2, 3, 4 and 5. These seven figures form a series. However, one of the five numbered figures does not fit into the series. Find that figure from the options given below.

Question 18 of 50
18. Question
Category: Logical ReasoningSelect a figure from amongst the options which will continue the same series as established by the five Problem Figures.

Question 19 of 50
19. Question
Category: Logical ReasoningGroup the given figures into three classes using each figure only once.

Question 20 of 50
20. Question
Category: Logical ReasoningArrange the given words in a meaningful sequence and then choose the most appropriate sequence from amongst the options provided below.
1. Police
2. Punishment
3. C rime
4. Justice
5. Judgement

Question 21 of 50
21. Question
Category: Mathematical ReasoningThe sum of two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?

Question 22 of 50
22. Question
Category: Mathematical ReasoningThe ages of Mira, Tina and Sania are in the ratio 6 : 4 : 7 respectively. If the sum of their ages is 34 years, what is Sania’s age?

Question 23 of 50
23. Question
Category: Mathematical ReasoningMehul plants 15376 apple trees in his garden and arranges them so that there are as many rows as there are apple trees in each row. The number of rows is _____.

Question 24 of 50
24. Question
Category: Mathematical ReasoningStudy the following table carefully to answer the question.
Marks Obtained by Five Students in Three Subjects out of 100
Student Subjects Math Science English Mohit 94 83 74 Sameer 72 88 68 Rachna 86 75 66 Purab 90 61 82 Mansi 68 67 71 What are the average marks obtained by all the students in Math?

Question 25 of 50
25. Question
Category: Mathematical ReasoningStudy the following table carefully to answer the question.
Marks Obtained by Five Students in Three Subjects out of 100
Student Subjects Math Science English Mohit 94 83 74 Sameer 72 88 68 Rachna 86 75 66 Purab 90 61 82 Mansi 68 67 71 What is the respective ratio of marks obtained by Mansi in Science and English together to the marks obtained by Rachna in the same subjects?

Question 26 of 50
26. Question
Category: Mathematical ReasoningFind the value of

Question 27 of 50
27. Question
Category: Mathematical ReasoningWhich of the following numbers is exactly divisible by 99?

Question 28 of 50
28. Question
Category: Mathematical ReasoningThe difference between the place value and the face value of 6 in the numeral 856973 is _____.

Question 29 of 50
29. Question
Category: Mathematical ReasoningThe value of

Question 30 of 50
30. Question
Category: Mathematical ReasoningShreya bought an article and sold it for 125% per cent of its cost price. What was the cost price of the article, if Shreya sold it for ₹ 30,750?

Question 31 of 50
31. Question
Category: Mathematical ReasoningWhat would be the cost of laying carpet on a floor which has length and breadth in the respective ratio of 32 : 21 and perimeter 212 feet, if the cost per square foot of laying carpet is ₹ 2.5?

Question 32 of 50
32. Question
Category: Mathematical ReasoningIf 2^{n – 1} + 2^{n + 1} = 320, then n is equal to _____.

Question 33 of 50
33. Question
Category: Mathematical ReasoningA sum of money invested at compound interest amounts to ₹ 800 in 3 years and to ₹ 840 in 4 years. The rate of interest per annum is _____.

Question 34 of 50
34. Question
Category: Mathematical ReasoningIn a simultaneous throw of two dice, what is the probability of getting a total of 7?

Question 35 of 50
35. Question
Category: Mathematical ReasoningIf 35% of a number is 12 less than 50% of that number, then the number is _____.

Question 36 of 50
36. Question
Category: Mathematical ReasoningSmallest angle of a triangle is equal to twothird the smallest angle of a quadrilateral. The ratio of the angles of the quadrilateral is 3 : 4 : 5 : 6. Largest angle of the triangle is twice its smallest angle. What is the sum of second largest angle of the triangle and largest angle of the quadrilateral?

Question 37 of 50
37. Question
Category: Mathematical ReasoningSoha purchased an item for ₹ 9,600 and sold it for loss of 5 per cent. From that money she purchased another item and sold it for gain of 5 per cent. What is her overall gain/loss?

Question 38 of 50
38. Question
Category: Mathematical ReasoningIf x^{x}^{3/2} = (x^{3/2})^{x}, then the value of x is _____.

Question 39 of 50
39. Question
Category: Mathematical ReasoningWhat number will come in place of question mark?
(√8 * √8)^{1/2} + (9)^{1/2} = (?)^{3} + √8 – 340

Question 40 of 50
40. Question
Category: Mathematical ReasoningWhich of the following statements is INCORRECT?

Question 41 of 50
41. Question
Category: Everyday MathematicsThe total area of a circle and a rectangle is equal to 1166 sq. cm. The diameter of the circle is 28 cm. What is the sum of the circumference of the circle and the perimeter of the rectangle if the length of the rectangle is 25 cm?

Question 42 of 50
42. Question
Category: Everyday Mathematics(3/4)^{th} of a number is 20 more than half of the same number. The required number is _____.

Question 43 of 50
43. Question
Category: Everyday MathematicsA merchant has 140 litres, 260 litres and 320 litres of three kinds of oil. He wants to sell the oil by filling the three kinds of oil separately in tins of equal volumes. The volume of such a tin is _____.

Question 44 of 50
44. Question
Category: Everyday MathematicsThe ratio of ages of Kunal and Deepesh is 3 : 5. After 10 years this ratio becomes 5 : 7. What is the present age of Deepesh?

Question 45 of 50
45. Question
Category: Everyday MathematicsOut of a number of electronic items, Rohit purchases 60% coloured T.Vs. 5% of these are found to be defective. The percentage of defective T.Vs in all is _____.

Question 46 of 50
46. Question
Category: Everyday MathematicsThe difference between compound interest and simple interest for 3 years @ 20% p.a. is ₹ 152. What is the principal lent in each case?

Question 47 of 50
47. Question
Category: Everyday MathematicsA can do a piece of work in 10 days, B can do it in 15 days. If they both work together they can finish the work in _____.

Question 48 of 50
48. Question
Category: Everyday MathematicsA path of uniform width runs all around the inside of a rectangular field 116 metres by 68 metres and occupies 720 square metres. Find the width of the path.

Question 49 of 50
49. Question
Category: Everyday MathematicsMohan gets 3 marks for each correct answer and loses 2 marks for each wrong answer. He attempts 30 problems and obtains 40 marks. The number of problems solved correctly is _____.

Question 50 of 50
50. Question
Category: Everyday MathematicsHarry goes to a shop to buy a watch costing ₹ 1404 including sales tax of 8%. He asks the shopkeeper to reduce the price of the watch so that he can save an amount equal to the sales tax. The reduction in the price of the watch is _____.