Olympiad Test: Achieves Section-3 - Class 8 MCQ
10 Questions MCQ Test Mathematical Olympiad Class 8 - Olympiad Test: Achieves Section-3
Read the given statements carefully and select the correct option.
Statement-1: The sum of the interior angles of a polygon is always greater than the sum of its exterior angles.
Statement-2: For any triangle, the sum of its exterior angles is always 360 degrees.
Read the given statements carefully and state 'T' for true and 'F' for false.
(i) The probability of getting a head when tossing a fair coin is 1/2.
(ii) The probability of getting a 5 when rolling a fair six-sided die is 1/6.
(iii) The sum of probabilities of all possible outcomes in a random experiment is always 1.
(i) The probability of getting a head when tossing a fair coin is 1/2.
(ii) The probability of getting a 5 when rolling a fair six-sided die is 1/6.
(iii) The sum of probabilities of all possible outcomes in a random experiment is always 1.
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Read the given statements carefully and select the correct option.
Statement-1: If the length and breadth of a rectangle are increased by 20%, the area of the rectangle is increased by 44%.
Statement-2: The diagonal of a square with side length 'a' is given by a√2.
Statement-1: If the length and breadth of a rectangle are increased by 20%, the area of the rectangle is increased by 44%.
Statement-2: The diagonal of a square with side length 'a' is given by a√2.
Statement-1: In any parallelogram, the diagonals bisect each other.
Statement-2: The diagonals of a rhombus are equal in length.
Statement-1: If the sides of a triangle are in the ratio 3:4:5, then the triangle is a right-angled triangle.
Statement-2: The area of an equilateral triangle with side length 'a' is (√3/4)a².
Statement-1: The number of diagonals in a polygon with 'n' sides is given by n(n-3)/2.
Statement-2: A regular hexagon can be divided into 6 equilateral triangles.
Read the given statements carefully and state 'T' for true and 'F' for false.
(i) The volume of a sphere is given by the formula (4/3)πr³.
(ii) If the radius of a sphere is doubled, the volume becomes eight times.
(iii) The surface area of a sphere is given by 4πr².
Read the given statements carefully and state 'T' for true and 'F' for false.
(i) The determinant of a 2x2 matrix [a b; c d] is ad - bc.
(ii) The inverse of a non-singular matrix always exists.
(iii) If a matrix is singular, its determinant is zero.
Read the given statements carefully and state 'T' for true and 'F' for false.
(i) The roots of the quadratic equation ax² + bx + c = 0 are given by (-b ± √(b²-4ac)) / 2a.
(ii) The discriminant of the quadratic equation ax² + bx + c = 0 is b² - 4ac.
(iii) If the discriminant is negative, the quadratic equation has two real and distinct roots.
Read the given statements carefully and state 'T' for true and 'F' for false.
(i) The sum of the first n natural numbers is given by n(n+1)/2.
(ii) The sum of the squares of the first n natural numbers is given by n(n+1)(2n+1)/6.
(iii) The sum of the cubes of the first n natural numbers is given by (n(n+1)/2)².
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28 videos|52 docs|63 tests
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28 videos|52 docs|63 tests
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