HOTS for Maths Olympiad - 4 - Free MCQ Test with solutions Class 10
MCQ Practice Test & Solutions: HOTS for Maths Olympiad - 4 (10 Questions)
You can prepare effectively for Class 10 Olympiad Preparation for Class 10 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "HOTS for Maths Olympiad - 4". These 10 questions have been designed by the experts with the latest curriculum of Class 10 2026, to help you master the concept.
Test Highlights:
- - Format: Multiple Choice Questions (MCQ)
- - Duration: 15 minutes
- - Number of Questions: 10
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Read the given statements and select the incorrect option.
Detailed Solution: Question 1
Which of the following is not a property of an isosceles triangle?
Detailed Solution: Question 2
Read the following statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The roots of the quadratic equation x2 − 5x + 6 = 0 are 2 and 3.
(ii) The quadratic equation x2 + 4x + 5 = 0 has real and distinct roots.
(iii) The sum of the roots of the quadratic equation ax2 + bx + c = 0 is given by - b/a
(i) The roots of the quadratic equation x2 − 5x + 6 = 0 are 2 and 3.
(ii) The quadratic equation x2 + 4x + 5 = 0 has real and distinct roots.
(iii) The sum of the roots of the quadratic equation ax2 + bx + c = 0 is given by - b/a
Detailed Solution: Question 3
Read the following statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The length of the diagonal of a square with side length s is s√2 .
(ii) The volume of a cube with side length a is a3.
(iii) The surface area of a cube with side length a is 6a2.
(ii) The volume of a cube with side length a is a3.
(iii) The surface area of a cube with side length a is 6a2.
Detailed Solution: Question 4
Fill in the blanks and select the correct option.
(i) The sum of the first n terms of an arithmetic progression (AP) is given by Sn = n/2 (2a + (n - 1) d). If the sum of the first 10 terms is 220, then the value of a + d is P.
(ii) If the 5th term of the same AP is 22, then the value of a is Q.
(ii) If the 5th term of the same AP is 22, then the value of a is Q.
Detailed Solution: Question 5
Fill in the blanks and select the correct option.
(i) If the equation x2 - (k + 1)x + k = 0 has one root equal to 1, then the value of k is P.
(ii) The other root of the equation is Q.
Detailed Solution: Question 6
Read the following statements and select the correct option.
Statement-I: The derivative of sin(x) is cos(x).
Statement-Il: The derivative of cos(x) is sin(x).
Statement-Il: The derivative of cos(x) is sin(x).
Detailed Solution: Question 7
Read the following statements and select the correct option.
Statement-I: The function f(x) = x2 is an even function.
Statement-II: The function f (x) = x3 is an odd function.
Statement-II: The function f (x) = x3 is an odd function.
Detailed Solution: Question 8
Solve the following and select the correct option.
(i) A rectangle has a length twice its width. If its perimeter is 36 cm, find the dimensions of the rectangle.
(ii) A cylinder has a height of 10 cm and a radius of 3 cm. Find its volume. Use π 22/7
(ii) A cylinder has a height of 10 cm and a radius of 3 cm. Find its volume. Use π 22/7
Detailed Solution: Question 9
Solve the following and select the correct option.
(i) The product of two numbers is 240 and their sum is 34. Find the numbers.
(ii) A cone has a base radius of 3 cm and a height of 4 cm. Find its volume. Use π = 22/7
Detailed Solution: Question 10
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