SOF IMO Sample Paper 2023 Class 10

SAMPLE PAPER SYLLABUS 2022-23 CLASS Total Questions : 50 10 Time : 1 hr. PATTERN & MARKING SCHEME (1) Logical (2) Mathematical (3) Everyday (4) Achievers Section Reasoning Reasoning Mathematics Section SOF INTERNATIONAL No. of Questions 15 20 10 5 MATHEMATICS OLYMPIAD 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 means ‘+’, then 12 + 6 ÷ 3 – 2 × 8 = which best illustrates the relationship amongst, (A) – 2 (B) 2 “Teacher, Male and Player”. (C) 4 (D) 8 2. How many such pairs of letters are there in the given word each of which has as many letters (A) (B) 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 (B) Any line parallel to x-axis is y = b. are in the ratio of 7n + 1 : 4n + 27. Find the (C) The point (3, 4) is at a distance of 5 units ratio of their 11th terms. from the origin. (A) 4 : 3 (D) All of these (B) 5 : 4 6. A number is chosen at random from 1 to 120. (C) 7 : 4 The probability of the number chosen being a (D) None of these multiple of 3 and 15 both is _____. (A) 1/15 5. Which of the following is true? (B) 1/16 (A) Three points (1, –2), (3, 4) and (4, 7) form (C) 1/17 a straight line. (D) 1/19 EVERYDAY MATHEMATICS 7. The average score of a player in 10 innings (A) 77 runs was 77 runs. In the 11th inning he had scored (B) 27 runs zero runs. The overall average score in all the (C) 11 runs 11 innings was (D) 70 runs Sample Paper | Class-10 | 1

8. A kite is flown with a thread of 250 m length. (Use 3 = 1.73 ) _____. If the thread is assumed to be stretched and (A) 216.50 m (B) 215.25 m makes an angle of 60° with the horizontal, (C) 212.25 m (D) 210.25 m then the height of the kite above the ground is 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 A (A) For K = , the equation 2x2 + 3x + K = 0 shown in the given figure. 8 Find : x will have real and equal roots. (a) the coordinates of the O (B) For K = –1, the equation x2 + K(4x + K – 1) midpoint of AC. C B (b) the length of AB. + 2 = 0 will have equal roots. (a) (b) (C) For K = 2, the equation x2 – 2x(1 + 3K) + (A) (–1/2, 1) 9 units 7(3 + 2K) = 0 will have equal roots. (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 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