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Grade 9 Mathematics

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsRiya says that both \(5p^2-3p+7\) and \(4p^{-1}+2\) are polynomials in \(p\). Which is the correct evaluation of her statement?Class 9Introduction to PolynomialsAlgebraic expressionsLevel 25Easy MathematicsWhat is the simplified form of (x+x+x)?Class 9Introduction to PolynomialsAlgebraic expressionsLevel 25Easy MathematicsWhich expression represents three times (y)?Class 9Introduction to PolynomialsAlgebraic expressionsLevel 25Easy MathematicsWhich expression is a monomial?Class 9Introduction to PolynomialsAlgebraic expressionsLevel 25Easy MathematicsIn the expression (5y-9), which is the constant term?Class 9Introduction to PolynomialsAlgebraic expressionsLevel 25Easy MathematicsIf \(OP=\sqrt{x}\) and the next hypotenuse is \(\sqrt{57}\), what is the value of (x)?Class 9Number SystemsSquare root spiralLevel 21Expert MathematicsA student says that a base of length 10 units must first be drawn to represent \(\sqrt{10}\) on the square root spiral. Which option correctly explains the student's error?Class 9Number SystemsSquare root spiralLevel 19Hard MathematicsWhile constructing a square root spiral, what length is assigned to the new side drawn perpendicular to the previous hypotenuse in each right triangle?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsWhile constructing a square root spiral, Reena makes each new right triangle with one leg of 1 unit and the other leg equal to the previous hypotenuse. If the previous hypotenuse is \(\sqrt{7}\) units, what is the length of the new hypotenuse?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsIn a square root spiral, the point representing which number will lie between 3 and 4 on the number line?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsWhile constructing a square root spiral, with which feature is each new right triangle constructed?Class 9Number SystemsSquare root spiralLevel 22Easy MathematicsWhile constructing a square root spiral, Riya draws each new 1-unit segment parallel to the previous hypotenuse. How should the new segment be drawn to correct her mistake?Class 9Number SystemsSquare root spiralLevel 22Easy MathematicsIf assuming \(\sqrt{3}=\frac{p}{q}\) in lowest terms leads to \(p^2=3q^2\), which conclusion proves a contradiction in this assumption?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Hard MathematicsA student assumes that \(\sqrt{2}=\frac{p}{q}\), where \(p\) and \(q\) are coprime integers. On squaring, the student gets \(p^2=2q^2\). Which conclusion proves that this assumption is invalid?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIt is known that \(\sqrt{3}\) is irrational. Which argument correctly completes a proof that \(\sqrt{12}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsSuppose \(\sqrt{2}=\frac{m}{n}\), where \(m\) and \(n\) are integers. Which condition on \(m\) and \(n\) is necessary at the start of a proof by contradiction that \(\sqrt{2}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsSuppose \(x\) is an irrational number and \(q\) is a non-zero rational number. Which statement about \(qx\) is always true?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsLet \(a\) and \(b\) be rational numbers, \(b\ne0\), and let \(m\) be a natural number that is not a perfect square. What type of number is \(a+b\sqrt{m}\)?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsA student says, “The product of two irrational numbers is always irrational.” Which example disproves this statement?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsWhich of the following options contains only irrational numbers?Class 9Number SystemsIrrational numbersLevel 15Hard