HOTS Questions for Class 9 Mathematics. Try first, then reveal the answer. These are exam-oriented practice items, not copied board papers.
Practice questions aligned to NCERT topics used in CBSE classrooms. These are original exam-oriented questions for revision — not official CBSE board papers and not a guarantee of any exam question. Always match the textbook issued by your school and the latest PDFs on ncert.nic.in and cbseacademic.nic.in.
Answers opened: 0
Practice set
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Number Systems”, what mistake could they make while solving a question from Number Systems?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Number Systems. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Number Systems · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “A real number is rational or irrational”, what mistake could they make while solving a question from Number Systems?
Answer
They would use the wrong term or the reverse relation. Remember: A real number is rational or irrational. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Number Systems · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Terminating or repeating decimals are rational”, what mistake could they make while solving a question from Number Systems?
Answer
They would use the wrong term or the reverse relation. Remember: Terminating or repeating decimals are rational. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Number Systems · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “√2 is irrational”, what mistake could they make while solving a question from Number Systems?
Answer
They would use the wrong term or the reverse relation. Remember: √2 is irrational. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Number Systems · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Every real number corresponds to a point on the number line”, what mistake could they make while solving a question from Number Systems?
Answer
They would use the wrong term or the reverse relation. Remember: Every real number corresponds to a point on the number line. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Number Systems · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Laws of exponents for real numbers as in the chapter”, what mistake could they make while solving a question from Number Systems?
Answer
They would use the wrong term or the reverse relation. Remember: Laws of exponents for real numbers as in the chapter. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Number Systems · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Polynomials”, what mistake could they make while solving a question from Polynomials?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Polynomials. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “A polynomial in x is a0 + a1x + … + anx^n”, what mistake could they make while solving a question from Polynomials?
Answer
They would use the wrong term or the reverse relation. Remember: A polynomial in x is a0 + a1x + … + anx^n. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Degree is the highest power with non-zero coefficient”, what mistake could they make while solving a question from Polynomials?
Answer
They would use the wrong term or the reverse relation. Remember: Degree is the highest power with non-zero coefficient. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “A linear polynomial has degree 1”, what mistake could they make while solving a question from Polynomials?
Answer
They would use the wrong term or the reverse relation. Remember: A linear polynomial has degree 1. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Remainder theorem: remainder is p(a) when divided by x−a”, what mistake could they make while solving a question from Polynomials?
Answer
They would use the wrong term or the reverse relation. Remember: Remainder theorem: remainder is p(a) when divided by x−a. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Zero of p(x) is a value where p(a)=0”, what mistake could they make while solving a question from Polynomials?
Answer
They would use the wrong term or the reverse relation. Remember: Zero of p(x) is a value where p(a)=0. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Coordinate Geometry”, what mistake could they make while solving a question from Coordinate Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Coordinate Geometry. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “A point is (x, y)”, what mistake could they make while solving a question from Coordinate Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: A point is (x, y). Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “The origin is (0,0)”, what mistake could they make while solving a question from Coordinate Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: The origin is (0,0). Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Quadrants I–IV”, what mistake could they make while solving a question from Coordinate Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: Quadrants I–IV. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Abscissa is x; ordinate is y”, what mistake could they make while solving a question from Coordinate Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: Abscissa is x; ordinate is y. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Plotting is the skill”, what mistake could they make while solving a question from Coordinate Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: Plotting is the skill. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Linear Equations in Two Variables”, what mistake could they make while solving a question from Linear Equations in Two Variables?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Linear Equations in Two Variables. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “A linear equation in two variables has infinitely many solutions”, what mistake could they make while solving a question from Linear Equations in Two Variables?
Answer
They would use the wrong term or the reverse relation. Remember: A linear equation in two variables has infinitely many solutions. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “The graph is a straight line”, what mistake could they make while solving a question from Linear Equations in Two Variables?
Answer
They would use the wrong term or the reverse relation. Remember: The graph is a straight line. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “x=0 and y=0 intercepts”, what mistake could they make while solving a question from Linear Equations in Two Variables?
Answer
They would use the wrong term or the reverse relation. Remember: x=0 and y=0 intercepts. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “A pair of values that satisfy is a solution”, what mistake could they make while solving a question from Linear Equations in Two Variables?
Answer
They would use the wrong term or the reverse relation. Remember: A pair of values that satisfy is a solution. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Real-life: cost and quantity”, what mistake could they make while solving a question from Linear Equations in Two Variables?
Answer
They would use the wrong term or the reverse relation. Remember: Real-life: cost and quantity. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Introduction to Euclid’s Geometry”, what mistake could they make while solving a question from Introduction to Euclid’s Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Introduction to Euclid’s Geometry. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Introduction to Euclid’s Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Axioms are assumed true”, what mistake could they make while solving a question from Introduction to Euclid’s Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: Axioms are assumed true. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Introduction to Euclid’s Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Euclid’s postulates include a unique line through two points”, what mistake could they make while solving a question from Introduction to Euclid’s Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: Euclid’s postulates include a unique line through two points. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Introduction to Euclid’s Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Definitions, axioms, theorems”, what mistake could they make while solving a question from Introduction to Euclid’s Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: Definitions, axioms, theorems. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Introduction to Euclid’s Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “A theorem is proved”, what mistake could they make while solving a question from Introduction to Euclid’s Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: A theorem is proved. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Introduction to Euclid’s Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Playfair’s version of the parallel postulate is often discussed”, what mistake could they make while solving a question from Introduction to Euclid’s Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: Playfair’s version of the parallel postulate is often discussed. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Introduction to Euclid’s Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Lines and Angles”, what mistake could they make while solving a question from Lines and Angles?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Lines and Angles. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Lines and Angles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Adjacent, vertically opposite, linear pair”, what mistake could they make while solving a question from Lines and Angles?
Answer
They would use the wrong term or the reverse relation. Remember: Adjacent, vertically opposite, linear pair. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Lines and Angles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Vertically opposite angles are equal”, what mistake could they make while solving a question from Lines and Angles?
Answer
They would use the wrong term or the reverse relation. Remember: Vertically opposite angles are equal. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Lines and Angles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Corresponding angles are equal if lines are parallel”, what mistake could they make while solving a question from Lines and Angles?
Answer
They would use the wrong term or the reverse relation. Remember: Corresponding angles are equal if lines are parallel. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Lines and Angles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Alternate interior angles”, what mistake could they make while solving a question from Lines and Angles?
Answer
They would use the wrong term or the reverse relation. Remember: Alternate interior angles. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Lines and Angles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Sum of angles on a straight line is 180°”, what mistake could they make while solving a question from Lines and Angles?
Answer
They would use the wrong term or the reverse relation. Remember: Sum of angles on a straight line is 180°. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Lines and Angles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Triangles”, what mistake could they make while solving a question from Triangles?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Triangles. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “SSS, SAS, ASA, RHS congruence”, what mistake could they make while solving a question from Triangles?
Answer
They would use the wrong term or the reverse relation. Remember: SSS, SAS, ASA, RHS congruence. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Angles opposite equal sides are equal”, what mistake could they make while solving a question from Triangles?
Answer
They would use the wrong term or the reverse relation. Remember: Angles opposite equal sides are equal. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Triangle inequality: sum of two sides > third”, what mistake could they make while solving a question from Triangles?
Answer
They would use the wrong term or the reverse relation. Remember: Triangle inequality: sum of two sides > third. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Exterior angle equals sum of remote interiors”, what mistake could they make while solving a question from Triangles?
Answer
They would use the wrong term or the reverse relation. Remember: Exterior angle equals sum of remote interiors. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “CPCT after congruence”, what mistake could they make while solving a question from Triangles?
Answer
They would use the wrong term or the reverse relation. Remember: CPCT after congruence. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Quadrilaterals”, what mistake could they make while solving a question from Quadrilaterals?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Quadrilaterals. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Opposite sides of a parallelogram are equal and parallel”, what mistake could they make while solving a question from Quadrilaterals?
Answer
They would use the wrong term or the reverse relation. Remember: Opposite sides of a parallelogram are equal and parallel. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Diagonals bisect each other”, what mistake could they make while solving a question from Quadrilaterals?
Answer
They would use the wrong term or the reverse relation. Remember: Diagonals bisect each other. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “A quadrilateral is a parallelogram if one pair of opposite sides is equal and parallel”, what mistake could they make while solving a question from Quadrilaterals?
Answer
They would use the wrong term or the reverse relation. Remember: A quadrilateral is a parallelogram if one pair of opposite sides is equal and parallel. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Mid-point theorem”, what mistake could they make while solving a question from Quadrilaterals?
Answer
They would use the wrong term or the reverse relation. Remember: Mid-point theorem. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Angle sum 360°”, what mistake could they make while solving a question from Quadrilaterals?
Answer
They would use the wrong term or the reverse relation. Remember: Angle sum 360°. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 9 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
FAQs
Are these official CBSE board questions?
No. They are original practice questions aligned to NCERT topics used in CBSE classrooms. Official sample papers are published on cbseacademic.nic.in.
Will these questions appear in the board exam?
Nobody can promise a question. Use them for revision of frequently tested concepts and exam-style practice.
Is the chapter list the latest NCERT list?
Yes, the catalog follows current NCERT textbooks used in CBSE schools (including new middle-stage books such as Ganita Prakash and Curiosity). Always match the book issued by your school.
Where are NCERT solutions?
Open the NCERT-style practice link on this subject or chapter. For word-for-word textbook exercise answers, use the NCERT book itself; we do not copy solution keys from other websites.
What is the suggested URL pattern?
Hub /cbse/, then /cbse/class-9/, then subject and chapter slugs.
Why is this a separate URL?
So students searching for “HOTS Questions” land on a filtered set, while the chapter page remains the full 100-question bank. Same facts, different search intent.
Today's 3-step path
Follow this loop every day: mixed test, current affairs, then today's subject. A new set arrives tomorrow.
