HOTS Questions for Class 10 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 “Euclid’s algorithm finds HCF”, what mistake could they make while solving a question from Real Numbers?
Answer
They would use the wrong term or the reverse relation. Remember: Euclid’s algorithm finds HCF. 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 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Every composite number can be expressed as a product of primes, unique except for the order of factors”, what mistake could they make while solving a question from Real Numbers?
Answer
They would use the wrong term or the reverse relation. Remember: Every composite number can be expressed as a product of primes, unique except for the order of factors. 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 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “For two positive integers, HCF × LCM equals the product of the numbers”, what mistake could they make while solving a question from Real Numbers?
Answer
They would use the wrong term or the reverse relation. Remember: For two positive integers, HCF × LCM equals the product of the numbers. 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 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors”, what mistake could they make while solving a question from Real Numbers?
Answer
They would use the wrong term or the reverse relation. Remember: A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors. 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 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal”, what mistake could they make while solving a question from Real Numbers?
Answer
They would use the wrong term or the reverse relation. Remember: If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal. 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 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “√2, √3 and √5 are irrational; they cannot be written as p/q with integers p, q ≠ 0”, what mistake could they make while solving a question from Real Numbers?
Answer
They would use the wrong term or the reverse relation. Remember: √2, √3 and √5 are irrational; they cannot be written as p/q with integers p, q ≠ 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 10 · Subject: Mathematics · Chapter: Real Numbers · 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 10 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “A quadratic has at most two zeros”, what mistake could they make while solving a question from Polynomials?
Answer
They would use the wrong term or the reverse relation. Remember: A quadratic has at most two zeros. 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 10 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Sum of zeros = −b/a”, what mistake could they make while solving a question from Polynomials?
Answer
They would use the wrong term or the reverse relation. Remember: Sum of zeros = −b/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 10 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Product of zeros = c/a”, what mistake could they make while solving a question from Polynomials?
Answer
They would use the wrong term or the reverse relation. Remember: Product of zeros = c/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 10 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Division algorithm as retained”, what mistake could they make while solving a question from Polynomials?
Answer
They would use the wrong term or the reverse relation. Remember: Division algorithm as retained. 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 10 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Graph of a quadratic is a parabola”, what mistake could they make while solving a question from Polynomials?
Answer
They would use the wrong term or the reverse relation. Remember: Graph of a quadratic is a parabola. 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 10 · 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 Pair of Linear Equations in Two Variables”, what mistake could they make while solving a question from Pair of 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 Pair of 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 10 · Subject: Mathematics · Chapter: Pair of Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Consistent pair: unique or infinitely many solutions”, what mistake could they make while solving a question from Pair of Linear Equations in Two Variables?
Answer
They would use the wrong term or the reverse relation. Remember: Consistent pair: unique or 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 10 · Subject: Mathematics · Chapter: Pair of Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Inconsistent: no solution”, what mistake could they make while solving a question from Pair of Linear Equations in Two Variables?
Answer
They would use the wrong term or the reverse relation. Remember: Inconsistent: no 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 10 · Subject: Mathematics · Chapter: Pair of Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “a1/a2 = b1/b2 = c1/c2 → infinite”, what mistake could they make while solving a question from Pair of Linear Equations in Two Variables?
Answer
They would use the wrong term or the reverse relation. Remember: a1/a2 = b1/b2 = c1/c2 → infinite. 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 10 · Subject: Mathematics · Chapter: Pair of Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Substitution, elimination”, what mistake could they make while solving a question from Pair of Linear Equations in Two Variables?
Answer
They would use the wrong term or the reverse relation. Remember: Substitution, elimination. 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 10 · Subject: Mathematics · Chapter: Pair of Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Cross-multiplication if your school still teaches it — check syllabus”, what mistake could they make while solving a question from Pair of Linear Equations in Two Variables?
Answer
They would use the wrong term or the reverse relation. Remember: Cross-multiplication if your school still teaches it — check syllabus. 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 10 · Subject: Mathematics · Chapter: Pair of 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 Quadratic Equations”, what mistake could they make while solving a question from Quadratic Equations?
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 Quadratic Equations. 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 10 · Subject: Mathematics · Chapter: Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “ax²+bx+c=0, a≠0”, what mistake could they make while solving a question from Quadratic Equations?
Answer
They would use the wrong term or the reverse relation. Remember: ax²+bx+c=0, 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 10 · Subject: Mathematics · Chapter: Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Discriminant D = b²−4ac”, what mistake could they make while solving a question from Quadratic Equations?
Answer
They would use the wrong term or the reverse relation. Remember: Discriminant D = b²−4ac. 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 10 · Subject: Mathematics · Chapter: Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “D>0 two distinct real roots”, what mistake could they make while solving a question from Quadratic Equations?
Answer
They would use the wrong term or the reverse relation. Remember: D>0 two distinct real roots. 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 10 · Subject: Mathematics · Chapter: Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Quadratic formula”, what mistake could they make while solving a question from Quadratic Equations?
Answer
They would use the wrong term or the reverse relation. Remember: Quadratic formula. 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 10 · Subject: Mathematics · Chapter: Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Word problems: speed, area, numbers”, what mistake could they make while solving a question from Quadratic Equations?
Answer
They would use the wrong term or the reverse relation. Remember: Word problems: speed, area, numbers. 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 10 · Subject: Mathematics · Chapter: Quadratic Equations · 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 Arithmetic Progressions”, what mistake could they make while solving a question from Arithmetic Progressions?
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 Arithmetic Progressions. 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 10 · Subject: Mathematics · Chapter: Arithmetic Progressions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “a, a+d, a+2d, …”, what mistake could they make while solving a question from Arithmetic Progressions?
Answer
They would use the wrong term or the reverse relation. Remember: a, a+d, a+2d, …. 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 10 · Subject: Mathematics · Chapter: Arithmetic Progressions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “an = a+(n−1)d”, what mistake could they make while solving a question from Arithmetic Progressions?
Answer
They would use the wrong term or the reverse relation. Remember: an = a+(n−1)d. 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 10 · Subject: Mathematics · Chapter: Arithmetic Progressions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Sn = n/2 [2a+(n−1)d]”, what mistake could they make while solving a question from Arithmetic Progressions?
Answer
They would use the wrong term or the reverse relation. Remember: Sn = n/2 [2a+(n−1)d]. 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 10 · Subject: Mathematics · Chapter: Arithmetic Progressions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “d can be negative”, what mistake could they make while solving a question from Arithmetic Progressions?
Answer
They would use the wrong term or the reverse relation. Remember: d can be negative. 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 10 · Subject: Mathematics · Chapter: Arithmetic Progressions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Apply to real sequences”, what mistake could they make while solving a question from Arithmetic Progressions?
Answer
They would use the wrong term or the reverse relation. Remember: Apply to real sequences. 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 10 · Subject: Mathematics · Chapter: Arithmetic Progressions · 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 10 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “AA, SSS, SAS similarity”, what mistake could they make while solving a question from Triangles?
Answer
They would use the wrong term or the reverse relation. Remember: AA, SSS, SAS similarity. 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 10 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Basic Proportionality Theorem (Thales) — statement and application”, what mistake could they make while solving a question from Triangles?
Answer
They would use the wrong term or the reverse relation. Remember: Basic Proportionality Theorem (Thales) — statement and application. 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 10 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Areas of similar triangles ratio = square of sides ratio”, what mistake could they make while solving a question from Triangles?
Answer
They would use the wrong term or the reverse relation. Remember: Areas of similar triangles ratio = square of sides ratio. 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 10 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Pythagoras theorem”, what mistake could they make while solving a question from Triangles?
Answer
They would use the wrong term or the reverse relation. Remember: Pythagoras 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 10 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Converse of Pythagoras”, what mistake could they make while solving a question from Triangles?
Answer
They would use the wrong term or the reverse relation. Remember: Converse of Pythagoras. 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 10 · 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 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 10 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Distance formula”, what mistake could they make while solving a question from Coordinate Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: Distance formula. 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 10 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Section formula”, what mistake could they make while solving a question from Coordinate Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: Section formula. 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 10 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Mid-point is section 1:1”, what mistake could they make while solving a question from Coordinate Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: Mid-point is section 1:1. 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 10 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Area of triangle from coordinates”, what mistake could they make while solving a question from Coordinate Geometry?
Answer
They would use the wrong term or the reverse relation. Remember: Area of triangle from coordinates. 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 10 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Collinear if area 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: Collinear if area 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 10 · 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 Introduction to Trigonometry”, what mistake could they make while solving a question from Introduction to Trigonometry?
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 Trigonometry. 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 10 · Subject: Mathematics · Chapter: Introduction to Trigonometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “sin, cos, tan of acute angles”, what mistake could they make while solving a question from Introduction to Trigonometry?
Answer
They would use the wrong term or the reverse relation. Remember: sin, cos, tan of acute 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 10 · Subject: Mathematics · Chapter: Introduction to Trigonometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “sin²θ+cos²θ=1”, what mistake could they make while solving a question from Introduction to Trigonometry?
Answer
They would use the wrong term or the reverse relation. Remember: sin²θ+cos²θ=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 10 · Subject: Mathematics · Chapter: Introduction to Trigonometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “tanθ = sinθ/cosθ”, what mistake could they make while solving a question from Introduction to Trigonometry?
Answer
They would use the wrong term or the reverse relation. Remember: tanθ = sinθ/cosθ. 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 10 · Subject: Mathematics · Chapter: Introduction to Trigonometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Standard angles 0°, 30°, 45°, 60°, 90°”, what mistake could they make while solving a question from Introduction to Trigonometry?
Answer
They would use the wrong term or the reverse relation. Remember: Standard angles 0°, 30°, 45°, 60°, 90°. 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 10 · Subject: Mathematics · Chapter: Introduction to Trigonometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “cot, sec, csc as reciprocals”, what mistake could they make while solving a question from Introduction to Trigonometry?
Answer
They would use the wrong term or the reverse relation. Remember: cot, sec, csc as reciprocals. 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 10 · Subject: Mathematics · Chapter: Introduction to Trigonometry · 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-10/, 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.
