 # CREST Mathematics Olympiad Class 9 Sample Papers

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## Syllabus:

Section 1: 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.

Achievers Section: Higher Order Thinking Questions - Syllabus as per Section 1

 Q.1 An urn contains 6 blue and 'P' green balls. If the probability of drawing a green ball is double that of drawing a blue ball, then 'P' is equal to:
 Q.2 The area of a rectangular field is 460 m2. If the length is 15% more than the breadth, then what is the breadth of the field?
 Q.3 If (x3 + ax2 + bx + 4)/(x2 + x - 2) is a polynomial of degree 1 in x, then what are the values of a and b, respectively?
 Q.4 The ratio in which the point (2, y) divides the join of (-4, 3) and (6, 3) and hence the value of y is:
 Q.5 The solution set formed by the regions x + y > 7 and x + y < 10 in the first quadrant represents a _________.
 Q.6 The polynomials ax2 + 3x2 - 3 and 2x3 - 5x + a when divide by (x - 4) leaves remainders R1 and R2, respectively, then value of a if 2R1 - R2 = 0, is:
 Q.7 ABCD is a parallelogram, if the two diagonals are equal, find the measure of angle ABC:
 Q.8 Two years ago, the ratio of A's age to B's age at that time was 5:9. A's age three years ago was 13 years less than B's age six years ago. What is B's present age?
 Q.9 If x = a(b - c), y = b(c - a) and z = c(a - b), then (x/a)3 + (y/b)3 + (z/c)3 = ?
 Q.10 A person invested Rs. 5,000 at the rate of 6% per annum for two years at SI. At the end of two years, he took the entire amount along with interest and invested in another scheme offering 10% CI for two years. What is the total amount received at the end of four years?

Sample PDF of CREST Mathematics Olympiad for Class 9: