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
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 = ?
Q.2
A die is thrown once. Find the probability of getting a number less than 8.
Q.3
If x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2, then the value of k is:
Q.4
An urn contains 6 blue and 'P' green balls. If the probability of drawing a green ball is double that of drawing a blue ball, then 'P' is equal to:
Q.5
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.6
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.7
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.8
The speed of Karolina is 5 km/h more than that of Andrea. Andrea reaches his home from office 2 hours earlier than Karolina. If Andrea and Karolina stay 12 km and 48 km from their respective offices, find the speed of Karolina:
Q.9
The ratio of the number of students in two classrooms, C1 and C2, is 2:3. It is observed that after shifting ten students from C1 to C2, the ratio is 3:7. Further, how many students have to be shifted from C2 to C1 for the new ratio to become 9:11?
Q.10
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.
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
a
Q.2
b
Q.3
c
Q.4
d
Q.5
b
Q.6
a
Q.7
a
Q.8
d
Q.9
b
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 : a | Q.2 : b | Q.3 : c | Q.4 : d | Q.5 : b | Q.6 : a | Q.7 : a | Q.8 : d | Q.9 : b | Q.10 : a
