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 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.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
It is known that if x + y = 10, then x + y + z = 10 + z. The Euclid's axiom that illustrates this statement is:
Q.4
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.5
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 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.6
The square root of 5 + 2√6 is:
Q.7
If (x + y + z) = 1, xy + yz + zx = -1, xyz = -1, then the value of x3 + y3 + z3 is:
Q.8
ABCD is a parallelogram, if the two diagonals are equal, find the measure of angle ABC.
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
In the given figure, AP and BP are angle bisectors of ∠A and ∠B, respectively which meets at P on the parallelogram ABCD. Then 2∠APB = ?
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
b
Q.2
c
Q.3
b
Q.4
a
Q.5
b
Q.6
d
Q.7
b
Q.8
c
Q.9
d
Q.10
a
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 : c | Q.3 : b | Q.4 : a | Q.5 : b | Q.6 : d | Q.7 : b | Q.8 : c | Q.9 : d | Q.10 : a
