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
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.2
A speaks truth in 60% of cases and B speaks the truth in 70% of cases. The probability that they will say the same thing while describing a single event is:
Q.3
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.4
ABCD is a rectangle formed by the points A(-1, -1), B(-1, 4), C(5, 4) and D(5, -1). P, Q, R, and S are mid-points of AB, BC, CD and DA, respectively. The quadrilateral PQRS is a:
Q.5
Train A can cross a 180 m long platform in 90 seconds. Train B has a speed which is twice that of A. A's length is 90% that of B. B can cross a 200 m long platform in x seconds. Find x.
Q.6
In the following figure, two isosceles right triangles, DEF and HGI are on the same base DH and DH are parallel to FI. If DE = GH = 9 cm and DH = 20 cm, then the area of the quadrilateral FEGI is ________.
Q.7
On simplifying (a + b)3 + (a - b)3 + 6a(a2 - b2) we get:
Q.8
ABCD is a parallelogram, E is the mid-point of AB and CE bisects angle BCD. The value of angle DEC is:
Q.9
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.10
If x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2, then the value of k is:
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Answers to Sample Questions from CREST Olympiads:
Q.1
a
Q.2
b
Q.3
b
Q.4
c
Q.5
c
Q.6
a
Q.7
d
Q.8
b
Q.9
c
Q.10
c
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 : b | Q.3 : b | Q.4 : c | Q.5 : c | Q.6 : a | Q.7 : d | Q.8 : b | Q.9 : c | Q.10 : c
