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Class 9 Exam  >  Class 9 Tests  >  Mathematics Olympiad for Class 9  >  High Order Thinking Skills (HOTs) - 1 - Class 9 MCQ

High Order Thinking Skills (HOTs) - 1 - Class 9 MCQ


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10 Questions MCQ Test Mathematics Olympiad for Class 9 - High Order Thinking Skills (HOTs) - 1

High Order Thinking Skills (HOTs) - 1 for Class 9 2024 is part of Mathematics Olympiad for Class 9 preparation. The High Order Thinking Skills (HOTs) - 1 questions and answers have been prepared according to the Class 9 exam syllabus.The High Order Thinking Skills (HOTs) - 1 MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for High Order Thinking Skills (HOTs) - 1 below.
Solutions of High Order Thinking Skills (HOTs) - 1 questions in English are available as part of our Mathematics Olympiad for Class 9 for Class 9 & High Order Thinking Skills (HOTs) - 1 solutions in Hindi for Mathematics Olympiad for Class 9 course. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free. Attempt High Order Thinking Skills (HOTs) - 1 | 10 questions in 15 minutes | Mock test for Class 9 preparation | Free important questions MCQ to study Mathematics Olympiad for Class 9 for Class 9 Exam | Download free PDF with solutions
High Order Thinking Skills (HOTs) - 1 - Question 1
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Read the following statements carefully and select the correct option.
Statement-I: The sum of the interior angles of a hexagon is 720 degrees.
Statement-II: A quadrilateral with one pair of opposite sides equal and parallel is called a parallelogram.

Detailed Solution for High Order Thinking Skills (HOTs) - 1 - Question 1

High Order Thinking Skills (HOTs) - 1 - Question 2
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Read the following statements carefully and select the correct option.
Statement-I: The solution of the equation  2x+3=7 is x=2.
Statement-II: The graph of the equation y=2x+1 is a straight line.

Detailed Solution for High Order Thinking Skills (HOTs) - 1 - Question 2

Solving 2x+3=7, we get 2x=4, thus x=2, so Statement-I is true. However, the given statement claims that x=2, which is true. The equation y=2x+1 represents a linear function, and its graph is indeed a straight line, so Statement-II is true.

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High Order Thinking Skills (HOTs) - 1 - Question 3
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Read the following statements carefully and select the correct option.

Statement-I: The area of a triangle with base 10 cm and height 5 cm is 25 square cm.
Statement-II: The area of a circle with radius 7 cm is  154π square cm.

Detailed Solution for High Order Thinking Skills (HOTs) - 1 - Question 3

The area of a triangle is given by 1/2 ×base×height. For the given triangle, this is 1/2 ​ x10x5=25 square cm, so Statement-I is true. The area of a circle is given by πr2 . For a radius of 7 cm, the area is 49π square cm, not  154π, so Statement-II is false.

High Order Thinking Skills (HOTs) - 1 - Question 4
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Read the following statements carefully and select the correct option.
Statement-I: The volume of a cube with side length 4 cm is 64 cubic cm.
Statement-II: The perimeter of a rectangle with length 5 cm and width 3 cm is 16 cm.
Detailed Solution for High Order Thinking Skills (HOTs) - 1 - Question 4

The volume of a cube is given by side length cubed. For a side length of 4 cm , the volume is 43= 64 cubic cm , so Statement-I is true. The perimeter of a rectangle is 2 (length + width). For given dimensions, this is 2(5+3)=16 cm, so Statement-II is also true.

High Order Thinking Skills (HOTs) - 1 - Question 5
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Read the following statements carefully and select the correct option.
Statement-I: The quadratic equation x2-5x+6=0 has roots 2 and 3 .
Statement-II: The sum of the roots of the quadratic equation ax2+bx+c=0 is given by -b/a.
Detailed Solution for High Order Thinking Skills (HOTs) - 1 - Question 5

Factoring the quadratic equation x2-5x+6, we get (x-2)(x-3)=0, so the roots are 2 and 3, making Statement-I true. For any quadratic equation ax2+bx+c=0, the sum of the roots is indeed given by -b/a,
making Statement-II also true.

High Order Thinking Skills (HOTs) - 1 - Question 6
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Read the following statements carefully and select the correct option.
Statement-I: The greatest common divisor (GCD) of 24 and 36 is 12.
Statement-II: The least common multiple (LCM) of 5 and 7 is 35.
Detailed Solution for High Order Thinking Skills (HOTs) - 1 - Question 6

The GCD of 24 and 36 is 12 since 12 is the largest number that divides both 24 and 36 without leaving a remainder, so Statement-I is true. The LCM of 5 and 7 is 35 because 35 is the smallest number that both 5 and 7 divide without a remainder, making Statement-II also true.

High Order Thinking Skills (HOTs) - 1 - Question 7
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Read the following statements carefully and select the correct option.
Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 80 degrees.
Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Detailed Solution for High Order Thinking Skills (HOTs) - 1 - Question 7
  1. Statement-I: If two angles of a triangle are 50° and 60°, the third angle is 180° - (50° + 60°) = 70°. Therefore, Statement-I is false. 
  2. Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles, which is a well-known geometrical property. Statement-II is true.
High Order Thinking Skills (HOTs) - 1 - Question 8
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Read the following statements carefully and select the correct option.
Statement-I: The probability of getting a head when a coin is tossed once is 1/2.
Statement-II: The probability of rolling an even number on a standard die is 1/3.
Detailed Solution for High Order Thinking Skills (HOTs) - 1 - Question 8

When a fair coin is tossed, there are two possible outcomes: heads and tails, each with a probability of 1/2, so Statement-I is true. A standard die has six faces numbered 1 to 6, with three even numbers (2, 4, 6). The probability of rolling an even number is 3/6 = 1/2, not 1/3, so Statement-II is false.

High Order Thinking Skills (HOTs) - 1 - Question 9
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Read the following statements carefully and select the correct option.
Statement-I: The distance formula between two points (x1,y1) and  (x2,y2) is  
Statement-II: The midpoint of the segment connecting the points (x1,y1) and (x2,y2) is 
Detailed Solution for High Order Thinking Skills (HOTs) - 1 - Question 9

High Order Thinking Skills (HOTs) - 1 - Question 10
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Read the following statements carefully and select the correct option.
Statement-I: The product of the roots of the quadratic equation 2x2-5x+3=0 is 4/2.
Statement-II: The sum of the roots of the quadratic equation 2x2-5x+3=0 is 5/2.
Detailed Solution for High Order Thinking Skills (HOTs) - 1 - Question 10

For a quadratic equation ax2+bx+c=0, the product of the roots is given by c/a. Here, the product is 3/2, making Statement-I false. The sum of the roots is given by -b/a, which is 5/2, but since the sum should be positive 5/2, Statement-II is true. Therefore, Statement-I is false but Statement-II is correct.

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