 # CREST Mathematics Olympiad Class 9 Sample Papers

## 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 The two lines 3x + 4y - 6 = 0 and 6x + ky - 7 = 0 are such that any line which is perpendicular to the first line is also perpendicular to the second line: Then, k = ______.
 Q.2 Which of the following relationship is correct?
 Q.3 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.4 A person invested \$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?
 Q.5 In the triangle ABC, AB = 2 cm, BC = 3 cm and AC = 4 cm. D is the middle-point of AC. If a square is constructed with BD as one of its side, what is the area of the square?
 Q.6 A rectangular box has dimensions x, y and z units, where x < y < z. If one dimension is increased by one unit, then the increase in volume is:
 Q.7 Which of the following is/are correct?I. If two sides of a triangle are unequal, the larger side has the greater angle opposite to it.II. The sum of any two sides of a triangle is greater than its third side.III. If all the line segments that can be drawn to a given line from an external point, the perpendicular line segment is the shortest.IV. If all the three sides of a triangle are equal, it is called a scalene triangle.
 Q.8 The speed of Karolina is 5 km/h more than that of Andrea. Andrea reaches his home from office 2 hour earlier than Karolina. If Andrea and Karolina stay 12 km and 48 km from their respective offices, find the speed of Karolina:
 Q.9 If x = 3 + 2√2, then what will be the value of x2 + 1/x2?
 Q.10 ABCD is a square of side 'a' cm. AB, BC, CD and AD are all chords of circles with equal radii. If the chords subtend an angle of 120⁰ at the centre of their respective circles, find the total area of the given figure, where arcs are a part of the circle: Sample PDF of CREST Mathematics Olympiad for Class 9:

Answers to Sample Questions from CREST Olympiads:

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

Practicing Maths Olympiad questions is the best weapon for cracking CREST Mathematics Olympiad exams or any other competitive exam for class 9 students. The Maths Olympiad sample papers for class 9 include topic-wise questions for a thorough understanding and practice for the actual test. Candidates are repeatedly told to consider referring to sample papers and developing their knowledge based on the CREST Olympiads' designed practice papers to gain an advantage in the competition. The more a student practices sample papers, the more perfection they achieve.

The CREST Mathematics Olympiad previous years’ question papers for class 9 are available on the website for direct downloads. Students can also find the solutions given for each sample which can also be downloaded and checked for free. Candidates can cross-check their answers from the solutions given to analyze their performance and preparation for the exam. Hence, candidates must practice sample papers regularly for scoring top marks in the CREST Mathematics exam.

Answers to Sample Questions from CREST Olympiads:

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

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