SilverZone iOM Sample Paper Class 9

International Olympiad of Mathematics - iOM’ 22 CLASS : 9 SAMPLE QUESTIONS The Actual Question Paper Contains 40 Questions. The Duration of the Test Paper is 50 Minutes. 1. If P and Q are two polynomials of degree 5 and 4, 7. Find the area of the shaded region where PQRS is a respectively, then find the degree of P – Q. square of side 20 cm. [Take p = 3.14] (A) 1 (B) 5 (C) 4 (D) Cannot be determined 2. If and , then _____. (A) A > B (B) B > A (C) A = B (D) A < 2B 3. If = 6832, then find the value of n. (A) 3 (B) 4 (C) 5 (D) 6 (A) 175 cm2 (B) 174 cm2 4. In a triangle, the average of any two sides is 36 cm more (C) 173 cm2 (D) 172 cm2 than half of the third side. The area of the triangle (in sq cm) is _____. 8. What will come in place of the question mark (?) in the (A) 1028 (B) 1296 following pattern? (C) 1018 (D) 1024 5. The following observations are arranged in ascending order: 36, 39, 45, 48, x, x + 4, 57, 62, 65, 68 If the median is 52, then the mean of the observations (A) 9 (B) 12 is ______. (C) 8 (D) 13 (A) 52.4 (B) 50.6 (C) 51.8 (D) 51.2 9. In a certain code language, ‘come now’ is written as 6. Two coins are tossed 1000 times and the outcomes are ‘ha na’, ‘now and then’ is written as ‘pa da na’ and ‘go recorded as given below: then’ is written as ‘sa pa’. How is ‘and’ written in that code language? Number of Tails 0 1 2 (A) sa (B) pa (C) na (D) da Frequency 320 352 328 10. The value of 4 4 4 Based on this information, the probability of getting + + 1 + 2log a2b2 c 1 + 2log a2c2 b 1 + 2logb2c2 a atleast 1 head is _____. (A) (B) (C) (D) is equal to ________. (A) 2 (B) 4 (C) 6 (D) 8 ANSWERS 1. (B) 2. (A) 3. (D) 4. (B) 5. (A) 6. (A) 7. (D) 8. (B) 9. (D) 10. (D) 12