HOTS for Maths Olympiad - 5 - Free MCQ Test with solutions Class 10
MCQ Practice Test & Solutions: HOTS for Maths Olympiad - 5 (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 - 5". 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 statements about matrices is incorrect?
Detailed Solution: Question 2
Read the following statements carefully and state 'T' for true and 'F' for false.
(i) The value of sin 45° is √2/2.
(ii) The value of cos 60° is 1/2.
(iii) The value of tan 90° is 0.
(ii) The value of cos 60° is 1/2.
(iii) The value of tan 90° is 0.
Detailed Solution: Question 3
Read the following statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The derivative of 
(ii) The integral of 
(iii) The second derivative of 
(ii) The integral of
(iii) The second derivative of
Detailed Solution: Question 4
Fill in the blanks and select the correct option.
(i) The area of a triangle with vertices at (1,2), (4, 6), and (5, 8) is P.
(ii) The length of the median to the side joining (4,6) and (5, 8) is Q.
(ii) The length of the median to the side joining (4,6) and (5, 8) is Q.
Detailed Solution: Question 5
Fill in the blanks and select the correct option.
(i) The distance between the points (x1, y1) and (x2, y2) is given by
and (x2, y2) = (4, 6), the distance is P.
(ii) The midpoint of the same points is Q.
and (x2, y2) = (4, 6), the distance is P.(ii) The midpoint of the same points is Q.
Detailed Solution: Question 6
Read the following statements and select the correct option.
Statement-I: The perimeter of a rectangle is given by 2 (l + b), where l is the length and b is the breadth.
Statement-II: The area of a rectangle is given by 2lb, where l is the length and b is the breadth.
Detailed Solution: Question 7
Read the following statements and select the correct option.
Statement-I: The roots of the equation x2 + 4x + 4 = 0, are real and equal.
Statement-II: The discriminant of the quadratic equation ax2 + bx + c = 0 is b2 - 4ac
Statement-II: The discriminant of the quadratic equation ax2 + bx + c = 0 is b2 - 4ac
Detailed Solution: Question 8
Solve the following and select the correct option.
(i) If the roots of the quadratic equation ax2 + bx + c = 0 are in the ratio 3:5, find the value of b2/ac
(ii) If the sum of the first 10 terms of an arithmetic progression is 155, find the first term given that the common difference is 2.
(ii) If the sum of the first 10 terms of an arithmetic progression is 155, find the first term given that the common difference is 2.
Detailed Solution: Question 9
Solve the following and select the correct option.
(i) If a = 3 and b = 4, find the value of 
(ii) The hypotenuse of a right-angled triangle is 13 cm, and one of its legs is 5 cm.
Find the other leg.
(ii) The hypotenuse of a right-angled triangle is 13 cm, and one of its legs is 5 cm.
Detailed Solution: Question 10
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