HOTS for Maths Olympiad - 6 - Free MCQ Test with solutions Class 10
MCQ Practice Test & Solutions: HOTS for Maths Olympiad - 6 (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 - 6". 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
Read the given statements and select the incorrect option.
Detailed Solution: Question 2
Read the following statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The slope of the line passing through the points (2, 3) and (4, 7) is 2.
(ii) The equation of the line with slope m and y-intercept c is y = mx + c
(iii) Parallel lines have equal slopes.
(ii) The equation of the line with slope m and y-intercept c is y = mx + c
(iii) Parallel lines have equal slopes.
Detailed Solution: Question 3
TrueRead the following statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The probability of getting a head in a single toss of a fair coin is 0.5.
(ii) The probability of rolling a sum of 7 with two fair six-sided dice is 1/6.
(iii) The probability of drawing an ace from a standard deck of 52 cards is 1/13.
(ii) The probability of rolling a sum of 7 with two fair six-sided dice is 1/6.
(iii) The probability of drawing an ace from a standard deck of 52 cards is 1/13.
Detailed Solution: Question 4
Fill in the blanks and select the correct option.
(i) If the system of equations 2x + 3y = 7 and 4x + ky = 14 has no solution, then the value of k is P.
(ii) If the system of equations 5x + 4y = 3 and 10x + 8y = k has infinitely many solutions, then the value of k is Q.
Detailed Solution: Question 5
Fill in the blanks and select the correct option.
(i) The roots of the equation x2 + px + q = 0 are in the ratio 2:3. If the roots are 2/3 and 2, then the value of p is P.
(ii) The value of q is Q
(ii) The value of q is Q
Detailed Solution: Question 6
Read the following statements and select the correct option.
Statement-I: The sum of the interior angles of a triangle is always 180 degrees.
Statement-II: The sum of the exterior angles of a triangle is always 360 degrees.
Statement-II: The sum of the exterior angles of a triangle is always 360 degrees.
Detailed Solution: Question 7
Read the following statements and select the correct option.
Statement-I: The sum of the interior angles of a polygon with n sides is (n -2) x 180°.
Statement-Il: The sum of the exterior angles of any polygon is always 360°.
Detailed Solution: Question 8
Solve the following and select the correct option.
(i) Find the value of k for which the system of equations 3x + 4y = 5 and 6x + ky = 10 has no solution.
(ii) The base of a triangle is 5 cm more than its height. If the area of the triangle is 30 cm2, find its base and height.
(ii) The base of a triangle is 5 cm more than its height. If the area of the triangle is 30 cm2, find its base and height.
Detailed Solution: Question 9
Solve the following and select the correct option.
(i) Find the area of a parallelogram with base 10 cm and height 5 cm.
(ii) If the area of a circle is 154 cm2, find its radius. Use π = 22/7.
(ii) If the area of a circle is 154 cm2, find its radius. Use π = 22/7.
Detailed Solution: Question 10
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