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LEBRAT CE F IN SO G SAMPLE PAPER SYLLABUS 2023-24 CLASS Total Questions : 50 Section Reasoning PATTERN & MARKING SCHEME (1) Logical (2) Mathematical Reasoning (3) Everyday Mathematics Time : 1 hr. (4) Achievers Section 9 SOF INTERNATIONAL MATHEMATICS OLYMPIAD No. of Questions 15 20 10 5 Marks per Ques. 1 1 1 3 SYLLABUS Section – 1 : Verbal and Non-Verbal Reasoning. Section – 2 : Number Systems, Polynomials, Coordinate Geometry, Linear Equations in Two Variables, Introduction to Euclid’s Geometry, Lines and Angles, Triangles, Quadrilaterals, Areas of Parallelograms and Triangles, Circles, Constructions, Heron’s Formula, Surface Areas and Volumes, Statistics, Probability. Section – 3 : The syllabus of this section will be based on the syllabus of Mathematical Reasoning and Quantitative Aptitude. Section – 4 : Higher Order Thinking Questions - Syllabus as per Section – 2. LOGICAL REASONING 1. Pointing to a woman in a photograph, a man says, “She is the grandmother of the son of my daughter- (A) (B) in-law’s mother-in-law.” How is the woman related to the man? (C) (D) (A) Mother (B) Mother-in-law (C) Sister (D) Wife 3. Find the odd one out. 2. Which of the following Venn diagrams best (A) 18 : 108 (B) 42 : 132 represents the relationship amongst, ‘State, Country (C) 22 : 112 (D) 26 : 156 and Village’? MATHEMATICAL REASONING 2 1 3 (A) 2.1 cm (B) 3.5 cm 4. Simplify : + − 5+ 3 3+ 2 5+ 2 (C) 4.2 cm (D) 6.2 cm (A) 3 (B) 2 6. Two dice are tossed. The probability that the total (C) 4 (D) 0 score is a prime number is 5. Two metallic right circular cones having their heights 1 5 4.1 cm and 4.3 cm respectively and the radii of their (A) (B) bases 2.1 cm each, have been melted together 6 12 and recast into a sphere. Find the diameter of the 1 7 (C) (D) sphere. 2 9 EVERYDAY MATHEMATICS 7. One-third of the boys and one-half of the girls of a 8. The population of a town is increased from 1,75,000 college participated in a social work project. If the to 2,62,500 in a decade. The average percent number of students who participated is 300 out of increase of population per year is _____. which 100 are boys, then what is the number of (A) 4.37% students in the college? (B) 5% (A) 500 (B) 600 (C) 6% (C) 700 (D) 800 (D) 50% Sample Paper | Class-9 | 1
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ACHIEVERS SECTION 9. Fill in the blanks and select the correct option. 10. Consider the following data. (P) Any point lying on x-axis is of the form ____. xi 12 13 14 15 16 17 18 (Q) The abscissa of a point on y-axis is ____. fi 1 3 4 8 10 3 1 (R) The point at which the two coordinate axes meet is called the ____. Match the columns: (S) The perpendicular distance of the point (4, 5) Column I Column II from x-axis is ____. (i) Mean of the data is (p) 16 (T) The perpendicular distance of the point (3, 7) (ii) Median of the data is (q) 15 from y-axis is ____. (iii) Mode of the data is (r) 15.2 (P) (Q) (R) (S) (T) (A) (i) → (r), (ii) → (q), (iii) → (p) (A) (0, y) 1 origin 5 3 (B) (x, 0) 0 origin 5 3 (B) (i) → (r), (ii) → (p), (iii) → (q) (C) (x, 0) 0 origin 3 5 (C) (i) → (q), (ii) → (r), (iii) → (p) (D) (0, y) 1 origin 3 5 (D) None of these SPACE FOR ROUGH WORK ANSWERS IMO – 1. (A) 2. (A) 3. (D) 4. (D) 5. (C) 6. (B) 7. (C) 8. (B) 9. (B) 10. (A) 2 | Sample Paper | Class-9
