Section 1: Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Constructions, Areas Related to Circles, Surface Areas and Volumes, Statistics, Probability.
Achievers Section: Higher Order Thinking Questions - Syllabus as per Section 1
What is the value of the expression [(a - b)3 + (b - c)3 + (c - a)3] / [(a - b)(b - c)(c-a)]?
Q.2
If the first, second and last terms of an AP are a, b and c, respectively, then the sum is:
Q.3
A certain strain of virus occurs three times every 25 minutes. In how much time will it become 729 times its initial value?
Q.4
The following steps are involved in finding a number, if the positive number is less than its square by 30. Arrange them in sequential order:
(A) x2 - x - 30 = 0 (B) x = 6 (C) x2 - x = 30 (D) (x + 5) (x - 6) = 0
Q.5
If sin A = √3/2 and A is an acute angle, then find the value of (tanA - cot A)/(√3 + cosec A).
Q.6
If the coefficients of rth term and (r + 1)th term in the expansion of (1 + x)20 are in the ratio 1:2, what is the value of r?
Q.7
Which term is numerically greatest term in the expansion of (3 + 2x)49, when x = 1/5?
Q.8
The average weight of A, B and C is 84 kg. If D joins the group, the average weight of the group becomes 80 kg. If another man E who weighs 3 kg more than D replaces A, then the average of B, C, D and E becomes 79 kg. What is the weight of A ?
Q.9
The average mark obtained by the students in a class is 43. If the average marks obtained by 25 boys are 40 and the average marks obtained by the girl students are 48, then what is the number of girl students in the class?
Q.10
If 1/(a + b), 1/(b + c), and 1/(c + a) are in AP, then which of the following is true?
Answers to Previous Year Questions from CREST Olympiads:
Q.1
d
Q.2
c
Q.3
c
Q.4
a
Q.5
b
Q.6
b
Q.7
c
Q.8
c
Q.9
a
Q.10
a
Students can download the CREST Mathematics Olympiad previous year paper pdf for class 10 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.
Students must become familiar with the exam format before taking any competitive exam, such as an Olympiad. CREST Mathematics Olympiad previous year paper will help students to become familiar with the exam pattern.
Once students complete their syllabus, they must start solving the CREST Mathematics Olympiad previous year paper for class 10 to analyze their preparation level. This is the proven way to excel in the CREST Mathematics Olympiad examination.
Additional Preparation Resources
Students can also refer to the following resources to level up their CREST Mathematics Olympiad (CMO) exam preparation for class 10 -
CREST Mathematics Worksheets Package for class 10 - 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 10 - 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 10 for free.
Note: Don’t forget to download the CREST Mathematics Olympiad past year paper pdf for class 10.
Answers to Previous Year Questions from CREST Olympiads:
Q.1 : d | Q.2 : c | Q.3 : c | Q.4 : a | Q.5 : b | Q.6 : b | Q.7 : c | Q.8 : c | Q.9 : a | Q.10 : a
