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CBSE Class 10  >  Class 10 Test  >  Olympiad Preparation  >  HOTS for Maths Olympiad - 7 - Class 10 MCQ

HOTS for Maths Olympiad - 7 - Free MCQ Test with solutions Class 10


MCQ Practice Test & Solutions: HOTS for Maths Olympiad - 7 (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 - 7". 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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HOTS for Maths Olympiad - 7 - Question 1
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Read the given statements and select the incorrect option.

Detailed Solution: Question 1

The Pythagorean theorem only applies to right triangles, not all triangles.

HOTS for Maths Olympiad - 7 - Question 2
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Read the given statements and select the incorrect option.

Detailed Solution: Question 2

All the given statements are correct:
A. Parallelogram with equal diagonals is a rectangle.
B. Parallelogram with perpendicular diagonals is a rhombus.
C. Square is a rectangle with all sides equal.

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HOTS for Maths Olympiad - 7 - Question 3
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Read the following statements carefully and state ‘T’ for true and ‘F’ for false.

(i) The arithmetic mean of the numbers 2, 4, 6, 8, and 10 is 6.
(ii) The median of the numbers 1, 3, 5, 7, and 9 is 5.
(iii) The mode of the numbers 1, 2, 2, 3, 4 is 2.

Detailed Solution: Question 3

(i) The arithmetic mean of 2, 4, 6, 8, and 10 is  True.
(ii) The median of 1, 3, 5, 7, and 9 is the middle value, which is 5. True.
(iii) The mode of 1, 2, 2, 3, 4 is the most frequent number, which is 2. True.

HOTS for Maths Olympiad - 7 - Question 4
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Read the following statements carefully and state ‘T’ for true and ‘F’ for false.

(i) The solution to the equation 2x + 3 = 7 is x = 2.
(ii) The function f(x) = 2x + 5 is a linear function.
(iii) The function f(x) = x2 + 2x + 1 is a quadratic function.

Detailed Solution: Question 4

HOTS for Maths Olympiad - 7 - Question 5
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Fill in the blanks and select the correct option.

(i) The value of sin2 45° + cos2 45° is P.

(ii) The value of tan 45° x cot 45° is Q.

Detailed Solution: Question 5

HOTS for Maths Olympiad - 7 - Question 6
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Fill in the blanks and select the correct option.

(i) The sum of the first 10 natural numbers is P.
(ii) The sum of the first 10 even numbers is Q.

Detailed Solution: Question 6

(i) The sum of the first n natural numbers is given by 
(ii) The sum of the first n even numbers is n(n + 1).
For n = 10,Q=10⋅11=110.

HOTS for Maths Olympiad - 7 - Question 7
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Read the following statements and select the correct option.

Statement-I: If the sides of a right triangle are in the ratio 3 : 4 : 5, then it is a Pythagorean triplet.

Statement-II: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Detailed Solution: Question 7

A right triangle with sides in the ratio 3:4:5 is a Pythagorean triplet, as 32 + 42 =52 . Statement-II is the Pythagorean theorem, which is always true for right triangles. Therefore, both statements are true.

HOTS for Maths Olympiad - 7 - Question 8
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Read the following statements and select the correct option.

Statement I: If two lines are parallel, then their slopes are equal.

Statement II: If two lines are perpendicular, the product of their slopes is −1.

Detailed Solution: Question 8

Statement-I is correct because if two lines are parallel, their slopes are equal.
Statement-II is correct because if two lines are perpendicular, the product of their slopes is −1.

HOTS for Maths Olympiad - 7 - Question 9
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Solve the following and select the correct option.

(i) Find the coordinates of the centroid of a triangle with vertices at (0, 0), (6, 0), and (0,8).

(ii) If a circle is inscribed in a square of side length 10 cm, find the area of the circle.

Detailed Solution: Question 9


HOTS for Maths Olympiad - 7 - Question 10
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Solve the following and select the correct option.

(i) If the circumference of a circle is 44 cm, find its radius. Use π = 22/7.
(ii) The sum of three consecutive integers is 33. Find the integers.

Detailed Solution: Question 10

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About this Class 10 Practice Test

This test contains 10 MCQs on HOTS for Maths Olympiad - 7 with detailed solutions for each question. It is part of the Olympiad Preparation for Class 10 course on EduRev, designed to align with the current Class 10 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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If you found this HOTS for Maths Olympiad - 7 MCQ Test helpful, you can further enhance your Class 10 preparation with in-depth courses on EduRev, for all the subjects and topics available in Olympiad Preparation for Class 10 course. The course offers:
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