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CLASS 8 SAMPLE PAPER 2025-26 SOF INTERNATIONAL MATHEMATICS OLYMPIAD Total Questions : 50 Time : 1 hr. PATTERN & MARKING SCHEME (1) Logical (2) Mathematical (3) Everyday (4) Achievers Section Reasoning Reasoning Mathematics Section No. of Questions 15 20 10 5 Marks per Ques. 1 1 1 3 SYLLABUS Section – 1 : Verbal and Non-Verbal Reasoning. Section – 2 : Rational Numbers, Squares and Square Roots, Cubes and Cube Roots, Exponents and Powers, Comparing Quantities, Algebraic Expressions, Linear Equations in One Variable, Understanding Quadrilaterals, Mensuration, Data Handling, Direct and Inverse Proportions, Factorisation, Introduction to Graphs. Section – 3 : Syllabus as per Section – 2. Section – 4 : Higher Order Thinking Questions - Syllabus as per Section – 2. LOGICAL REASONING 1. Select a figure from the options which when placed in the blank space of the given figure would complete the pattern. (A) (B) ? 7 7 7 5 5 (C) (D) 5 7 2. Study the following Venn diagram carefully → Science students and answer the question that follow. b → Students studying Which of the following letters represents c d f e in private school female science students who are not a g → Females studying in private school? (A) d (B) f (C) b (D) c 3. Find the missing number in the given number pattern. 2, 4, 9, 19, ?, 62 (A) 38 (B) 36 (C) 34 (D) 48 MATHEMATICAL REASONING ( x − y )( x + y )( x 2 + y 2 ){( x 2 + y 2 )2 − 2 x 2 y 2 } 4. Find the value of . x16 − y16 1 1 (A) x 4 + y 4 (B) x 8 + y 8 (C) (D) x8 + y8 x4 + y4 Sample Paper | Class-8 | 1
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5. The given bar graph shows the 2023 number of books available in a 2022 Maths Types of Books school library for the years 2022 Science and 2023. Language Find the increase in total number of books in 2023. Story (A) 40 (B) 45 0 5 10 15 20 25 30 35 40 45 50 55 (C) 50 (D) 30 Number of books 6. ABCD is a parallelogram. Find the angles x, y and z respectively in the given figure. (A) 40°, 50°, 60° dž (B) 60°, 60°, 60° & (C) 50°, 50°, 50° LJ ϰϬΣ nj (D) 60°, 70°, 70° EVERYDAY MATHEMATICS 7. A survey was conducted among 525 people where 225 were men and rest were women. It was found that 162 women like coffee. What is the probability that a randomly chosen woman dislikes coffee? 162 25 13 (A) (B) (C) (D) None of these 525 49 50 8. Forty percent of the employees of a certain company are men and 75% of the men earn more than ` 25,000 per year. If 45% of the company's employees earn more than ` 25,000 per year, then what fraction of the women employed by the company earn ` 25,000 or less per year? 1 3 3 (A) (B) (C) (D) None of these 4 5 4 ACHIEVERS SECTION 9. Read the given statements carefully and select the CORRECT option. Statement-I : If a certain sum, at compound interest become five times in 3 years, then in 9 years, it will be 25 times at the same rate of interest per annum. Statement-II : If ` 8920 becomes ` 13380 in 3 years at a certain rate of compound interest, then in 6 years it becomes ` 20070 at same rate of compound interest. (A) Both Statement-I and Statement-II are true. (B) Both Statement-I and Statement-II are false. (C) Statement-I is true but Statement-II is false. (D) Statement-I is false but Statement-II is true. 10. Find the value of P + Q + R + S, if (i) (Px – 4) and (x + 3) are the factors of 3x2 + 5x – 12. (ii) (x – 5) and (Qx + 3) are the factors of 2x2 – 7x – 15. (iii) (Rx – 3) and (Sx – 3) are the factors of 8x2 – 18x + 9. (A) 11 (B) 9 (C) 8 (D) 7 ANSWER KEY 1. (B) 2. (D) 3. (B) 4. (C) 5. (B) 6. (C) 7. (D) 8. (C) 9. (D) 10. (A) 2 | Sample Paper | Class-8
