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
The difference between the squares of two consecutive even integers is always divisible by:
Q.2
In the given figure, LM is parallel to QR. If LM divides the triangle PQR such that the area of trapezium LMRQ is two times the area of triangle PLM, then what is PL/PQ equal to?
Q.3
The numerical expression 3/8 + (-5)/7 = -19/56 shows that:
Q.4
20 people are invited for a party. If two particular persons are seated on either side of the host, then find the number of ways in which they and the host can be seated at a circular table:
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
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:
Q.7
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.8
The cost of a precious stone varies as the cube of its weight. The stone broke into 3 pieces whose weights are in the ratio 1:2:3. As a result, its cost is reduced. If the cost of the unbroken stone is $96,336, then find the loss incurred due to breakage.
Q.9
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.10
From four corners of a square sheet of side 4 cm, four pieces, each in the shape of an arc of a circle with a radius of 2 cm are cut out. The area of the remaining portion is:
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
b
Q.2
b
Q.3
a
Q.4
a
Q.5
c
Q.6
b
Q.7
c
Q.8
a
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 : b | Q.2 : b | Q.3 : a | Q.4 : a | Q.5 : c | Q.6 : b | Q.7 : c | Q.8 : a | Q.9 : d | Q.10 : b
