CREST Mathematics Olympiad Class 9 Sample Paper

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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 Q.2 Q.3 Q.4 Q.5 Q.6 Q.7 Q.8 Q.9 Q.10

Q.1

A die is thrown once. Find the probability of getting a number greater than 6.

Q.2

A right triangular prism of height 18 cm and of base sides 5 cm, 12 cm and 13 cm is transformed into another right triangular prism on a base of sides 9 cm, 12 cm and 15 cm. Find the height of the new prism and the change in the whole surface area:

Q.3

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 sides, what is the area of the square?

Q.4

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.5

If we add 1 to the numerator and subtract 1 from the denominator the fraction becomes 1. It also becomes 1/2 if we add 1 to the denominator, then the sum of the numerator and the denominator of the fraction is:

Q.6

The circum-centre of the triangle formed by points O(0, 0), A(6, 0) and B(0, 6) is ___________.

Q.7

The difference between the squares of two consecutive even integers is always divisible by:

Q.8

Which of the following relationships is correct?

Q.9

It is known that if x + y = 10, then x + y + z = 10 + z. The Euclid's axiom that illustrates this statement is:

Q.10

If (x + y + z) = 1, xy + yz + zx = -1, xyz = -1, then the value of x3 + y3 + z3 is:

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Answers to Sample Questions from CREST Olympiads:

Q.1aQ.2cQ.3bQ.4dQ.5bQ.6aQ.7bQ.8aQ.9bQ.10b


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

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