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
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.2
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.3
If (x + y + z) = 1, xy + yz + zx = -1, xyz = -1, then the value of x3 + y3 + z3 is:
Q.4
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.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
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
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.8
On simplifying (a + b)3 + (a - b)3 + 6a(a2 - b2) we get:
Q.9
The difference between the squares of two consecutive even integers is always divisible by:
Answers to Previous Year Questions from CREST Olympiads:
Q.1
c
Q.2
a
Q.3
b
Q.4
b
Q.5
b
Q.6
a
Q.7
c
Q.8
d
Q.9
b
Q.10
d
Students can download the CREST Mathematics Olympiad previous year paper pdf for class 9 from this page. Each question in the paper carries 1 mark. The answer key for all the questions is also provided on the last page.
To prepare for the CREST Mathematics Olympiad exam, students must refer to the previous years’ papers. The CREST Mathematics Olympiad previous year paper for class 9 will give students a general idea of the question types, exam format and marks distribution.
Additional Preparation Resources
Students can also refer to the following resources to level up their CREST Mathematics Olympiad (CMO) exam preparation for class 9 -
CREST Mathematics Worksheets Package for class 9 - It is a package of 5 worksheets. The worksheets are in the same pattern as the previous year paper. Hence, very useful for preparation. Existing users can purchase additional practice worksheets by following these steps: Login at https://www.crestolympiads.com/login -> Dashboard -> Additional Practice -> Buy & new users can visit https://www.crestolympiads.com/registration
CREST Mathematics Olympiad book for class 9 - The book covers topic-wise reading material, chapter-wise practice questions with answer key & contains the previous year paper. The book is available in both physical and pdf formats. Proceed now to purchase the Olympiad book. Also, students can view & download the first chapter of the Maths Olympiad book for class 9 for free.
Note: Don’t forget to download the CREST Mathematics Olympiad past year paper pdf for class 9.
Answers to Previous Year Questions from CREST Olympiads:
Q.1 : c | Q.2 : a | Q.3 : b | Q.4 : b | Q.5 : b | Q.6 : a | Q.7 : c | Q.8 : d | Q.9 : b | Q.10 : d
