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LEBRAT CE F IN SO G SAMPLE PAPER SYLLABUS 2023-24 CLASS Total Questions : 50 Section (1) Logical Reasoning PATTERN & MARKING SCHEME (2) Mathematical Reasoning (3) Everyday Mathematics Time : 1 hr. (4) Achievers Section 10 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 : Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Constructions, Areas Related to Circles, 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. If ‘+’ means ‘÷’, ‘÷’ means ‘–’, ‘–’ means ‘×’, ‘×’ 3. Select the Venn diagram from the options which means ‘+’, then 12 + 6 ÷ 3 – 2 × 8 = best illustrates the relationship amongst, “Teacher, (A) – 2 (B) 2 Male and Player”. (C) 4 (D) 8 2. How many such pairs of letters are there in the given (A) (B) word each of which has as many letters between them in the word as in the English alphabet? ADVERTISEMENT (A) Three (B) Four (C) (D) (C) Five (D) More than five MATHEMATICAL REASONING 4. The sums of n terms of two arithmetic series are (C) The point (3, 4) is at a distance of 5 units from in the ratio of 7n + 1 : 4n + 27. Find the ratio of the origin. their 11th terms. (D) All of these (A) 4 : 3 (B) 5 : 4 (C) 7 : 4 (D) None of these 6. A number is chosen at random from 1 to 120. The probability of the number chosen being a multiple 5. Which of the following is true? of 3 and 15 both is _____. (A) Three points (1, –2), (3, 4) and (4, 7) form a (A) 1/15 (B) 1/16 straight line. (B) Any line parallel to x-axis is y = b. (C) 1/17 (D) 1/19 EVERYDAY MATHEMATICS 7. The average score of a player in 10 innings was (A) 77 runs 77 runs. In the 11th inning he had scored zero runs. (B) 27 runs (C) 11 runs The overall average score in all the 11 innings was (D) 70 runs Sample Paper | Class-10 | 1
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8. A kite is flown with a thread of 250 m length. If the (A) 216.50 m thread is assumed to be stretched and makes an (B) 215.25 m angle of 60° with the horizontal, then the height (C) 212.25 m of the kite above the ground is (Use 3 = 1.73 ) _____. (D) 210.25 m ACHIEVERS SECTION 9. Which of the following is incorrect? 10. T h e p o i n t s A ( – 5 , 5 ) , y 9 B(1, –3) and C(4, –3) are shown A (A) For K = , the equation 2x2 + 3x + K = 0 will in the given figure. 8 have real and equal roots. Find : x O (a) the coordinates of the (B) For K = –1, the equation x + K(4x + K – 1) + 2 midpoint of AC. C B 2 = 0 will have equal roots. (b) the length of AB. (C) For K = 2, the equation x2 – 2x(1 + 3K) + 7(3 + (a) (b) 2K) = 0 will have equal roots. (A) (–1/2, 1) 9 units (B) (–1/2, 1) 10 units (D) For K = –3, the equation (K + 1)x2 – 2(K – 1)x (C) (1/2, –1) 9 units + 1 = 0 will have equal roots. (D) (1/2, –1) 10 units SPACE FOR ROUGH WORK ANSWERS IMO – 1. (C) 2. (D) 3. (C) 4. (A) 5. (D) 6. (A) 7. (D) 8. (A) 9. (D) 10. (B) 2 | Sample Paper | Class-10
