Olympiad Test: Achieves Section-3 - Free MCQ with solutions Class 8 Mathematical
MCQ Practice Test & Solutions: Olympiad Test: Achieves Section-3 (10 Questions)
You can prepare effectively for Class 8 Mathematical Olympiad Class 8 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Olympiad Test: Achieves Section-3". These 10 questions have been designed by the experts with the latest curriculum of Class 8 2026, to help you master the concept.
Test Highlights:
- - Format: Multiple Choice Questions (MCQ)
- - Duration: 20 minutes
- - Number of Questions: 10
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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.
Detailed Solution: Question 1
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.
Detailed Solution: Question 2
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.
Detailed Solution: Question 3
Read the given statements carefully and select the correct option.
Statement-1: In any parallelogram, the diagonals bisect each other.
Statement-2: The diagonals of a rhombus are equal in length.
Detailed Solution: Question 4
Read the given statements carefully and select the correct option.
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.
Detailed Solution: Question 5
Read the given statements carefully and select the correct option.
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.
Detailed Solution: Question 6
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.
(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.
Detailed Solution: Question 7
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.
(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.
Detailed Solution: Question 8
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.
(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.
Detailed Solution: Question 9
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.
(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.
Detailed Solution: Question 10
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