Podcast
Questions and Answers
If the area of a curved surface of a cone is 154 square centimeters and its slant height is 14 centimeters, what is the base diameter of the cone?
If the area of a curved surface of a cone is 154 square centimeters and its slant height is 14 centimeters, what is the base diameter of the cone?
If the sides of a triangle are in the ratio 2:5:6 and the perimeter is 78 cm, what is the length of the longest side?
If the sides of a triangle are in the ratio 2:5:6 and the perimeter is 78 cm, what is the length of the longest side?
The value of $2^{10} ÷ 2^5$ is:
The value of $2^{10} ÷ 2^5$ is:
What is the value of $√3(√3+1)^2$ ?
What is the value of $√3(√3+1)^2$ ?
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If $a+b=7$ and $a^2+b^2=29$, what is the value of $ab$?
If $a+b=7$ and $a^2+b^2=29$, what is the value of $ab$?
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If the ratio of the radius of two spheres is 1:4, then the ratio of their volumes will be:
If the ratio of the radius of two spheres is 1:4, then the ratio of their volumes will be:
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Which of the following represents a common student misconception about statistical data representation?
Which of the following represents a common student misconception about statistical data representation?
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The rational numbers between √2 and √3 is:
The rational numbers between √2 and √3 is:
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If (𝑥 + 2) is a factor of the polynomial 𝑥 − 𝑘𝑥 + 14, then the value of 𝑘 is:
If (𝑥 + 2) is a factor of the polynomial 𝑥 − 𝑘𝑥 + 14, then the value of 𝑘 is:
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'All right angles are equal to one another'. Which Euclid’s postulate is this?
'All right angles are equal to one another'. Which Euclid’s postulate is this?
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Study Notes
Geometry and Measurement
- The formula to find the base diameter of a cone can be used when given the area of the curved surface and the slant height.
- Sides of a triangle with a ratio of 2:5:6 and a perimeter of 78 cm can be used to find the length of the longest side.
Exponents and Indices
- The value of $2^{10} ÷ 2^5$ is a simple exponentiation problem.
- The value of $√3(√3+1)^2$ involves rationalizing the numerator.
Algebra
- If $a+b=7$ and $a^2+b^2=29$, the value of $ab$ can be found by solving the system of equations.
- Factors of a polynomial, such as 𝑥 − 𝑘𝑥 + 14, can be used to find the value of 𝑘.
Geometry and Proof
- The concept of 'All right angles are equal to one another' relates to one of Euclid's postulates.
Statistics and Data Representation
- There is a common student misconception about statistical data representation that needs to be understood.
Real Numbers
- The rational numbers between √2 and √3 can be found by understanding the properties of irrational numbers.
Ratio and Proportion
- If the ratio of the radius of two spheres is 1:4, then the ratio of their volumes will be a fixed value.
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Description
Practice for your Mathematics exam with this sample question paper for Class 9 from G. D. Goenka Public School, Dwarka. The paper includes 5 sections with varying types of questions and marks, providing thorough preparation for the exam.
