CBSE Class 8  >  Class 8 Notes  >  Mathematical Olympiad   >  Mathematics Olympiad Model Test Papers - 3

Mathematics Olympiad Model Test Papers - 3

Note: The questions provided in this document are similar to the questions that were asked in the actual Olympiad exam. So, we recommend you study these for your Olympiad preparation

Logical Reasoning

Q1: A man leaves for his office from his house. He walks towards East. After moving a distance of 14 m, he turns South and walks 6 m. Then he walks 26 m towards the West and further 2 m towards the North. He then turns towards East and walks 12 m. What is the distance between his initial and final position?

(a) 6 m
(b) 5 m
(c) 4 m
(d) 2 m

Q2: In the given Venn diagram, rectangle represents the number of students who like Science, circle represents the number of students who like Mathematics and triangle represents the number of students who like English. Which of the following number will represent the number of students who likes all the three subjects?
Logical Reasoning

Q3: In the provided sequence, if all letters are sorted in alphabetical order and all numbers are sorted in descending order at their respective positions, which element will be the 3rd to the left of the 8th element from the right end?
L  2 @ Y K # 9 * 4 Q % P © 3 R
(a) K
(b) P
(c) #
(d) 2

Q4: If '>' represents 'division', '<' signifies 'multiplication', and '=' indicates 'addition', what is the result of 72 > 8 < 9 = 15 > 3?
(a) 80
(b) 84
(c) 72
(d) 86

Q5: Find the minimum number of straight lines required to draw the given figure.
Logical Reasoning

(a) 7
(b) 12
(c) 8
(d) 11

Q6: Find the correct water image of the given figure.
Logical Reasoning

(a)Logical Reasoning(b)Logical Reasoning(c) Logical Reasoning(d)Logical Reasoning

Q7:  Find the figure from the options which will complete the given figure matrix.
Logical Reasoning

(a) Logical Reasoning(b)
Logical Reasoning(c)
Logical Reasoning(d) Logical Reasoning

Q8: Three figures P, Q and R showing a sequence of folding of a sheet of paper are given. Fig. (R) shows the manner in which the folded paper has been cut. Select a figure from the options which represents the unfolded form of fig. (R).
Logical Reasoning

(a) Logical Reasoning

(b)
Logical Reasoning

(c)
Logical Reasoning

(d) 
Logical Reasoning

Q9: Choose the box that is similar to the box formed when the given sheet of paper is folded to form a box.
Logical Reasoning

(a)Logical Reasoning(b)Logical Reasoning

(c)Logical Reasoning

(d)Logical Reasoning

Q10: Identify the number that does not belong to the group.
(a) 143
(b) 165
(c) 187
(d) 117

Q11: Select a figure from the options which satisfies the same conditions of placement of the dots as in the given figure.
Logical Reasoning

(a) Logical Reasoning(b)Logical Reasoning(c)Logical Reasoning(d)Logical Reasoning

Q12: There is a specific connection between the two numbers surrounding '::'. Determine the relationship between the provided pair and find the unknown number. 168 : 182 : : ? : 224
(a) 210
(b) 105
(c) 110
(d) 205

Q13: Find the missing figure which will replace the (?) to complete the series.
Logical Reasoning

(a) Logical Reasoning(b)Logical Reasoning

(c)Logical Reasoning

(d)Logical Reasoning

Q14: The following digits are coded as follows: (Table-Based-Question) Digits Codes While coding the given numbers, the following conditions are to be observed: Conditions:
(i) If the first digit is even and the last digit is odd, they are to be coded as $ and @ respectively.
(ii) If the first digit is odd and the last digit is even, then they are to be coded as # and ξ respectively.
(iii) 0 is not considered as either even or odd.
(iv) If 0 is preceded as well as followed by an odd digit, then 0 is coded as ↑.
(v) If 0 is preceded as well as followed by an even digit, then 0 is coded as ↓. Then, what will be the code for '562210378'?  (a) PNAAS↑MLK
(b) #NAAS↑MLξ
(c) #NAAS0MLξ
(d) #NAAS↓MLK

Q15: If 'M#N' signifies 'M is the father of N', 'M*N' indicates 'M is the brother of N,' and 'M%N' means 'M is the husband of N.' What is the relationship of S to R in 'R#P*Q%S'?
(a) Daughter
(b) Father
(c) Mother
(d) Daughter-in-law

Mathematical Reasoning

Q16: Simplify: [2x² - (1/400)y²]² - [2x² - (1/400)y²]²
(a) - (x² - y²) / 40
(b) - (x² - y²) / 50
(c) xy / 50
(d) - (x² - y²) / 5

Q17. Evaluate:Mathematical Reasoning(a) 63
(b) 126
(c) 93
(d) 186

Q18. What least number must be multiplied to 3456 so that the product becomes a perfect cube?
(a) 2
(b) 3
(c) 4
(d) 6

Q19: Determine the relationship between p and q, given the equation: [(3)³ × (5)⁻p × 60 / (2)⁻³ × (5)⁻q × (9)²] = 32 / 125
(a) q - p = 3
(b) q - p = 2
(c) p - q = 1
(d) p - q = 4

Q20: Evaluate: (1/3 ÷ 1/6) - (4/3 x 18/15) / (1 ÷ 1 1/2) / (1 ÷ 2 1/3)
(a) 1 / 4
(b) 3 / 8
(c) 7 / 8
(d) 5 / 3

Q21: A die is rolled at random. What is the probability of rolling a prime number?
(a) 1 / 2
(b) 1 / 4
(c) 1 / 6
(d) 1 / 3

Q22. The cube root of 1.331 is:
(a) 0.11
(b) 0.011
(c) 11
(d) 1.1

Q23. Find the cube root of 42875.
(a) 35
(b) 25
(c) 15
(d) 20

Q24: Determine the value of y, given that: (3 / 2 y + 6) (y - 4) = 2 / 5 y (y + 7) = y + 4
(a) 2
(b) 4 / 5
(c) 4
(d) 3 / 2

Q25. The digit in the units place for the cube of a four-digit number of the form xyz8 is __________.
(a) 2
(b) 4
(c) 8
(d) 6

Q26. The smallest number which when multiplied with 7200 will make the product a perfect cube, is:
(a) 10
(b) 20
(c) 30
(d) None of these

Q27. The smallest number by which 16384 must be divided so that the quotient is a perfect cube, is:
(a) 2
(b) 4
(c) 12
(d) None of these.

Q28: The sum of the digits of a two-digit number is 16. If the number obtained by interchanging the digits is 18 more than the original number, then find the number.
(a) 97
(b) 88
(c) 79
(d) 78

Q29: Simplify: 2.5 + 0.05 - [1.6 - {3.2 - (3.2 + 2.1 ÷ 7)}]
(a) 0.6
(b) 0.66
(c) 0.65
(d) 0.67

Q30: If the melting point of an iron rod is 204°C and the freezing point of an aluminum rod is -96°C, then how much higher is the melting point of the iron rod than the freezing point of the aluminum rod?
(a) 108°C
(b) 96°C
(c) 300°C
(d) -108°C

Q31. The product 864 × n is a perfect cube. What is the smallest possible value of 'n'? 
(a) 2
(b) 1
(c) 4
(d) 3

Q32: Determine the volume of a cube with a surface area of 1944 m².
(a) 4096 m³
(b) 4913 m³
(c) 6859 m³
(d) 5832 m³

Q33. The square of a natural number when subtracted from its cube results in 48. The number is 
(a) 6
(b) 5
(c) 4
(d) 8

Q34: Determine the principal amount if the compound interest amounts to ₹15,608 at an annual interest rate of 4% compounded yearly over a period of 3 years.
(a) ₹2,25,000
(b) ₹1,25,000
(c) ₹1,00,000
(d) ₹1,22,000

Q35. A student has to secure 40% marks to pass. He got 40 marks and failed by 40 marks. The maximum number of marks is 
(a) 160
(b) 180
(c) 200
(d) 320

Everyday Mathematics

Q36: Abhinav split a circular pizza with a radius of 28.7 cm into two equal halves. What is the perimeter of each half of the pizza?
(a) 112.7 cm
(b) 247.7 cm
(c) 147.6 cm
(d) 107.5 cm

Q37: Two-thirds of a shipment was sold with a profit of 6%, while the remaining portion was sold at a loss of 3%. Given that the total profit amounted to ₹540, what is the total value of the shipment?
(a) ₹15,000
(b) ₹16,000
(c) ₹18,000
(d) ₹16,500

Q38: Many bought a saree for ₹(3x² - 5x + 25) and a purse for ₹(-5x² - 8x + 90). She paid ₹1000 to the shopkeeper. What amount will she receive as change?
(a) ₹(2x² + 3x + 115)
(b) ₹(2x² + 13x + 885)
(c) ₹(2x² - 13x + 115)
(d) ₹(-2x² - 13x + 885)

Q39: If Neha received (-2)⁵ × (-1/3) × (3)⁴ marks, and Vipul received (1/8) × (5³), how many more marks did Neha earn compared to Vipul?
(a) (2)⁴
(b) (3)²
(c) (3)⁴
(d) (2)⁵

Q40: A pipe takes 7 hours to fill 21 buckets of the same quantity. How many buckets will it fill in 19 hours?
(a) 39
(b) 42
(c) 57
(d) 51

Q41: A person earns a monthly salary of ₹50,000. In a pie chart, the central angle for the sector showing his expenses on medicine and entertainment is 90°. What is the total amount he spends on these expenses?
(a) ₹13,000
(b) ₹12,500
(c) ₹18,500
(d) ₹15,000

Q42: Sunny has a total of ₹4500 in coins of ₹2, ₹5, and ₹10 denominations. The number of ₹2 coins is 5 times the number of ₹5 coins. The total number of coins is 540. How many ₹10 coins does he have?
(a) 450
(b) 320
(c) 420
(d) 460

Q43: The combined current ages of Jiya, Kunal, and Sagar amount to 93 years. A decade ago, the ratio of their ages was 2 : 3 : 4. What is Sagar's current age?
(a) 24 years
(b) 32 years
(c) 34 years
(d) 38 years

Q44: A tourist spends daily as many rupees as the number of days of his total tour. If his total expenses were ₹1849, how many days did his tour last?
(a) 33
(b) 43
(c) 47
(d) 37

Q45: A floor tile has the shape of a rectangle whose width is 60 cm and length is 80 cm. How many such tiles are required to cover a floor that is 8 m long and 12 m wide?
(a) 146
(b) 184
(c) 150
(d) 200

Achievers Section

Q46: Fill in the blanks and select the correct option.
(i) __________ and (x - 18) are the factors of 2x² - 35x - 18.
(ii) If 6 - x - x² = (A - x)(x + B), then the value of A + B is ______.
(iii) The HCF of 2x, 20x², and 16xy² is ______.
(iv) The value of (4x² - 4x + 1) ÷ (2x - 1) is ______.
(a) 2x - 1, 7, 2, 2x + 1
(b) 2x + 1, 5, 2x, 2x - 1
(c) 2x - 1, 6, 2x, 2x + 1
(d) 2x + 1, 3, 1, 2x - 1

Q47: Match the following columns and select the correct option.
Column I
(i) If M.P. of an article is ₹450 and discount is 20%, the S.P. of the article is
(ii) If discount is ₹360 and discount % is 24%, then the marked price is
(iii) If the selling price of an article is ₹420 and it is sold at a 20% loss, the cost price of the article is
(a) (i) → Q; (ii) → R; (iii) → P
(b) (i) → P; (ii) → Q; (iii) → R
(c) (i) → R; (ii) → Q; (iii) → P
(d) (i) → P; (ii) → R; (iii) → Q

Q48: A bag contains 27 cards numbered from 1 to 27. If a card is chosen at random, which one of the following is correct?
(a) The probability of getting a card which is a multiple of 5 is \( \frac{3}{27} \).
(b) The probability of getting a card with a prime number is \( \frac{10}{27} \).
(c) The probability of getting a number which is a multiple of 2 and 3 is \( \frac{4}{27} \).
(d) The probability of getting a card which is a multiple of 7 is \( \frac{3}{27} \).

Q49. The least square number exactly divisible by 4, 6, 10, 15 is
(a) 400
(b) 100
(c) 25
(d) 900

Q50: Solve the following questions:
(i) Tanya takes 20 minutes to reach her office when driving at a steady speed of 35 km/hr. If she wants to arrive in 14 minutes, what should be the average speed of her car?
(ii) The cost of 10 buckets of paint is ₹2400, with each bucket holding 2.4 L of paint. What will be the cost for 14 buckets, each containing 3 L of paint?
(a) 42 km/hr, ₹3000
(b) 40 km/hr, ₹4200
(c) 45 km/hr, ₹3000
(d) 50 km/hr, ₹4200

The document Mathematics Olympiad Model Test Papers - 3 is a part of the Class 8 Course Mathematical Olympiad Class 8.
All you need of Class 8 at this link: Class 8

FAQs on Mathematics Olympiad Model Test Papers - 3

1. What topics are covered in the Class 8 Mathematics Olympiad Model Test Papers?
Ans. The Class 8 Mathematics Olympiad Model Test Papers cover various topics including Logical Reasoning, Mathematical Reasoning, Everyday Mathematics, and sections specifically designed for achievers. These papers aim to enhance students' problem-solving skills and mathematical understanding.
2. How can I prepare effectively for the Class 8 Mathematics Olympiad?
Ans. To prepare effectively for the Class 8 Mathematics Olympiad, students should practice regularly using model test papers, review fundamental concepts in mathematics, and focus on logical reasoning and problem-solving techniques. Additionally, joining study groups or attending coaching classes can provide further guidance and support.
3. Are the questions in the Mathematics Olympiad Model Test Papers similar to the actual exam?
Ans. Yes, the questions in the Mathematics Olympiad Model Test Papers are designed to mimic the style and difficulty level of the actual exam. They provide students with a realistic practice experience, helping them familiarize themselves with the types of questions they may encounter.
4. What is the importance of Logical Reasoning in the Mathematics Olympiad?
Ans. Logical Reasoning is crucial in the Mathematics Olympiad as it helps students develop critical thinking and analytical skills. It enables them to approach problems systematically and make connections between different mathematical concepts, which is essential for solving complex problems during the exam.
5. Can I find solutions to the Model Test Papers for better understanding?
Ans. Yes, many resources provide solutions to the Model Test Papers for the Class 8 Mathematics Olympiad. These solutions can help students understand the step-by-step processes required to arrive at the correct answers, thus enhancing their learning and problem-solving skills.
Explore Courses for Class 8 exam
Get EduRev Notes directly in your Google search
Related Searches
practice quizzes, Mathematics Olympiad Model Test Papers - 3, Extra Questions, Viva Questions, Semester Notes, Objective type Questions, Free, Previous Year Questions with Solutions, Exam, ppt, mock tests for examination, study material, Mathematics Olympiad Model Test Papers - 3, MCQs, past year papers, Mathematics Olympiad Model Test Papers - 3, shortcuts and tricks, pdf , Important questions, video lectures, Sample Paper, Summary;