 # SilverZone - IOM PDF Sample Papers for Class 9

Class 9 sample paper & practice questions for International Olympiad of Mathematics (IOM) level 1 are given below. Syllabus for level 1 is also mentioned for these exams. You can refer these sample paper & quiz for preparing for the exam. #### Resources:

##### Sample Questions from Olympiad Success:
 Q.1 Q.2 Q.3 Q.4 Q.5 Q.6 Q.7 Q.8 Q.9 Q.10
 Q.1 The LCM of two number is 495 and their HCF is 5. If the sum of the number is 100, then find the difference of the number. a) 10 b) 46 c) 70 d) 90
 Q.2 If from the well shuffled pack of cards all the aces are removed, find the probability of getting red card. a) 1 b) 0.5 c) 1.5 d) 2
 Q.3 The length of tangents drawn from an external point to a circle are ______. a) equal b) unequal c) always 3 times the other d) always 9 times the other
 Q.4 Find the distance of the intercept at the point of X-axis and the line 5x + 9y = 45 origin: a) 5 units b) 9 units c) 5/9 units d) 9/5 units
 Q.5 If diameter of a cylinder is 5cm and volume of cylinder is 650 cm3 then height of cylinder is: a) 40 cm b) 25 cm c) 33 cm d) 45 cm
 Q.6 The least number which when divided by 35, leaves remainder of 25, when divided with 45 leaves a remainder of 35 and when divided by 55 leaves 45 as remainder, is: a) 3455 b) 3465 c) 3475 d) 10
 Q.7 Find the median of the following numbers: 7, 8, 9, 11, 13, 14, 15, 16 a) 11 b) 12 c) 13 d) 15
 Q.8 If a circular metal sheet is 0.65 cm thick and of 50 cm in diameter is melted and recast into cylindrical bar with 8 cm diameter then length of bar will be: a) 25.41 cm b) 35.41 cm c) 40.41 cm d) 25.39 cm
 Q.9 Identify the identical figures from the following options. a) (1,7,9), (2,5,6), (3,4,8) b) (1,5,9), (2,6,7), (3,4,8) c) (1,7,8), (2,5,6), (3,4,9) d) (1,2,9), (5,6,7), 3,4,8
 Q.10 If α and β are the roots of the quadratic equation 2x2 + 6x + k = 0, where k < 0, then what is the maximum value of α/β + β/α? a) 2 b) -2 c) 9 d) -9

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##### Answers to Sample Questions from Olympiad Success:
 Q.1 )a Q.2 )b Q.3 )a Q.4 )b Q.5 )c Q.6 )a Q.7 )b Q.8 )d Q.9 )a Q.10 )d

Answers to Sample Questions from Olympiad Success:

Q.1 : a | Q.2 : b | Q.3 : a | Q.4 : b | Q.5 : c | Q.6 : a | Q.7 : b | Q.8 : d | Q.9 : a | Q.10 : d

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