﻿ Free Maths Olympiad (CMO) Previous Year Paper for Class 10

CREST Mathematics Olympiad Class 10 Previous Year Papers

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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 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.2 If the first, second and last terms of an AP are a, b and c, respectively, then the sum is:
 Q.3 W borrowed a certain sum of money from X at the rate of 10% per annum under simple interest and lent one-fourth of the amount to Y at 8% per annum under simple interest and the remaining amount to Z at 15% per annum under simple interest. If at the end of 15 years, W made a profit of \$5850 in the deal, then find the sum that W had lent to Z.
 Q.4 If the sum of the roots of the equation ax2 + bx + c = 0 is equal to the sum of their squares, then which one of the following is correct?
 Q.5 Solve and find the roots of the equation:2(x2 - 6) = 3(x - 4)
 Q.6 The arithmetic mean of the squares of the first n natural number is:
 Q.7 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.8 In the given figure, PQRS is a square of side 7√2 cm. With P and R as centres and PQ as radius, the arcs QAS and QBS are drawn, respectively. Find the area of the shaded region (in cm2).
 Q.9 If sin A = √3/2 and A is an acute angle, then find the value of (tanA - cot A)/(√3 + cosec A).
 Q.10 A bag contains 63 cards (numbered 1, 2, 3, ….., 63). Two cards are picked at random from the bag (one after another and without replacement). What is the probability that the sum of the numbers of both the cards drawn is even?

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

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.