CREST Mathematics Olympiad Class 10 Sample Paper

>> Join CREST Olympiads WhatsApp Channel for latest updates. Sample PDF of CREST Mathematics Olympiad for Class 10:


If your web browser doesn't have a PDF Plugin. Instead you can Click here to download the PDF

Syllabus:

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

Q.1 Q.2 Q.3 Q.4 Q.5 Q.6 Q.7 Q.8 Q.9 Q.10

Q.1

Simplify the following expression:
[(a - b)3 - (a + b)3 ]/2 + a(a2 + 3b2

Q.2

In ∆ABC, ∠B = 90⁰. P, Q and R are the midpoints of AB, BC and AC, respectively. Which of the following options can be the vertices of a cyclic quadrilateral?

Q.3

The houses of a row are numbered consecutively from 1 to 49. If there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find the value of x.

Q.4

Find the quadratic equation whose roots are reciprocal of the roots of the equation 3x2 - 20x + 17 = 0.

Q.5

The volume of the vessel, in the form of a right circular cylinder, is 448π cmand its height is 7 cm. What is the radius of its base?

Q.6

The arithmetic mean of the squares of the first n natural number is:

Q.7

30% of the items were sold at a profit of 40% while the remaining were sold at x% loss. If the overall loss is 10%, find the value of x.

Q.8

Perpendiculars are drawn from the vertex of the obtuse angles of a rhombus to its sides. The length of each perpendicular is equal to a unit. The distance between their feet is equal to b units. Find the area of the rhombus.

Q.9

If p1 and p2 are two odd prime numbers such that p1 > p2, then p12 - p22 is:

Q.10

Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Find the number of sides of each polygon.

Your Score: 0/10

Answers to Sample Questions from CREST Olympiads:

Q.1dQ.2bQ.3dQ.4aQ.5dQ.6cQ.7cQ.8cQ.9aQ.10a

Practicing sample papers for CREST Mathematics Olympiad for class 10 is the best means to top the scoreboard in the examination. Sample papers are curated in such a way that it enables kids to have a closer look into the pattern & type of questions they will be encountered during the paper. All the questions asked in class 10 CMO are multiple-choice questions. Candidates should answer all questions in the exam as CREST Olympiads do not follow negative markings. Students by practicing Maths Olympiad previous years’ question papers for class 10 learn to manage time and able to analyze their preparation. The CREST Mathematics Olympiad sample papers are available on the website for easy access and free download.

Answers to Sample Questions from CREST Olympiads:

Q.1 : d | Q.2 : b | Q.3 : d | Q.4 : a | Q.5 : d | Q.6 : c | Q.7 : c | Q.8 : c | Q.9 : a | Q.10 : a

70%