HOTS Questions for Class 8 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 A Square and A Cube”, what mistake could they make while solving a question from A Square and A Cube?
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 A Square and A Cube. 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 8 · Subject: Mathematics · Chapter: A Square and A Cube · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “A square number is n × n”, what mistake could they make while solving a question from A Square and A Cube?
Answer
They would use the wrong term or the reverse relation. Remember: A square number is n × 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 8 · Subject: Mathematics · Chapter: A Square and A Cube · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “A cube number is n × n × n”, what mistake could they make while solving a question from A Square and A Cube?
Answer
They would use the wrong term or the reverse relation. Remember: A cube number is n × n × 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 8 · Subject: Mathematics · Chapter: A Square and A Cube · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Square root is the inverse of squaring for perfect squares”, what mistake could they make while solving a question from A Square and A Cube?
Answer
They would use the wrong term or the reverse relation. Remember: Square root is the inverse of squaring for perfect squares. 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 8 · Subject: Mathematics · Chapter: A Square and A Cube · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “13² = 169”, what mistake could they make while solving a question from A Square and A Cube?
Answer
They would use the wrong term or the reverse relation. Remember: 13² = 169. 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 8 · Subject: Mathematics · Chapter: A Square and A Cube · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Estimate roots between two consecutive integers”, what mistake could they make while solving a question from A Square and A Cube?
Answer
They would use the wrong term or the reverse relation. Remember: Estimate roots between two consecutive integers. 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 8 · Subject: Mathematics · Chapter: A Square and A Cube · 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 Power Play”, what mistake could they make while solving a question from Power Play?
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 Power Play. 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 8 · Subject: Mathematics · Chapter: Power Play · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “a^m × a^n = a^(m+n)”, what mistake could they make while solving a question from Power Play?
Answer
They would use the wrong term or the reverse relation. Remember: a^m × a^n = a^(m+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 8 · Subject: Mathematics · Chapter: Power Play · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “a^m / a^n = a^(m−n) (a ≠ 0)”, what mistake could they make while solving a question from Power Play?
Answer
They would use the wrong term or the reverse relation. Remember: a^m / a^n = a^(m−n) (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 8 · Subject: Mathematics · Chapter: Power Play · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Standard form is a × 10^k”, what mistake could they make while solving a question from Power Play?
Answer
They would use the wrong term or the reverse relation. Remember: Standard form is a × 10^k. 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 8 · Subject: Mathematics · Chapter: Power Play · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Any non-zero number to the power 0 is 1”, what mistake could they make while solving a question from Power Play?
Answer
They would use the wrong term or the reverse relation. Remember: Any non-zero number to the power 0 is 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 8 · Subject: Mathematics · Chapter: Power Play · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Very large and small numbers use exponents”, what mistake could they make while solving a question from Power Play?
Answer
They would use the wrong term or the reverse relation. Remember: Very large and small numbers use exponents. 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 8 · Subject: Mathematics · Chapter: Power Play · 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 A Story of Numbers”, what mistake could they make while solving a question from A Story of Numbers?
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 A Story of 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 8 · Subject: Mathematics · Chapter: A Story of Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “A rational number can be p/q with q ≠ 0”, what mistake could they make while solving a question from A Story of Numbers?
Answer
They would use the wrong term or the reverse relation. Remember: A rational number can be p/q with 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 8 · Subject: Mathematics · Chapter: A Story of Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Decimals of rationals terminate or repeat”, what mistake could they make while solving a question from A Story of Numbers?
Answer
They would use the wrong term or the reverse relation. Remember: Decimals of rationals terminate or repeat. 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 8 · Subject: Mathematics · Chapter: A Story of Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Number systems developed in many civilisations”, what mistake could they make while solving a question from A Story of Numbers?
Answer
They would use the wrong term or the reverse relation. Remember: Number systems developed in many civilisations. 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 8 · Subject: Mathematics · Chapter: A Story of Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “The number line holds rationals densely”, what mistake could they make while solving a question from A Story of Numbers?
Answer
They would use the wrong term or the reverse relation. Remember: The number line holds rationals densely. 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 8 · Subject: Mathematics · Chapter: A Story of Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Equivalent rationals”, what mistake could they make while solving a question from A Story of Numbers?
Answer
They would use the wrong term or the reverse relation. Remember: Equivalent rationals. 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 8 · Subject: Mathematics · Chapter: A Story of 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 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 8 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Sum of interior angles of a quadrilateral is 360°”, what mistake could they make while solving a question from Quadrilaterals?
Answer
They would use the wrong term or the reverse relation. Remember: Sum of interior angles of a quadrilateral is 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 8 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “A parallelogram has both pairs of opposite sides 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 parallelogram has both pairs of opposite sides 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 8 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “A rectangle has four right angles”, what mistake could they make while solving a question from Quadrilaterals?
Answer
They would use the wrong term or the reverse relation. Remember: A rectangle has four right 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 8 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “A rhombus has all sides equal”, what mistake could they make while solving a question from Quadrilaterals?
Answer
They would use the wrong term or the reverse relation. Remember: A rhombus has all sides 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 8 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “A square is a rectangle and a rhombus”, what mistake could they make while solving a question from Quadrilaterals?
Answer
They would use the wrong term or the reverse relation. Remember: A square is a rectangle and a rhombus. 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 8 · Subject: Mathematics · Chapter: Quadrilaterals · 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 Number Play”, what mistake could they make while solving a question from Number Play?
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 Play. 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 8 · Subject: Mathematics · Chapter: Number Play · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Divisibility rules save time”, what mistake could they make while solving a question from Number Play?
Answer
They would use the wrong term or the reverse relation. Remember: Divisibility rules save time. 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 8 · Subject: Mathematics · Chapter: Number Play · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Odd and even patterns”, what mistake could they make while solving a question from Number Play?
Answer
They would use the wrong term or the reverse relation. Remember: Odd and even patterns. 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 8 · Subject: Mathematics · Chapter: Number Play · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Digital roots as a play idea if the book uses them”, what mistake could they make while solving a question from Number Play?
Answer
They would use the wrong term or the reverse relation. Remember: Digital roots as a play idea if the book uses them. 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 8 · Subject: Mathematics · Chapter: Number Play · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Counter-examples disprove a guess”, what mistake could they make while solving a question from Number Play?
Answer
They would use the wrong term or the reverse relation. Remember: Counter-examples disprove a guess. 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 8 · Subject: Mathematics · Chapter: Number Play · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Work systematically”, what mistake could they make while solving a question from Number Play?
Answer
They would use the wrong term or the reverse relation. Remember: Work systematically. 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 8 · Subject: Mathematics · Chapter: Number Play · 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 We Distribute, Yet Things Multiply”, what mistake could they make while solving a question from We Distribute, Yet Things Multiply?
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 We Distribute, Yet Things Multiply. 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 8 · Subject: Mathematics · Chapter: We Distribute, Yet Things Multiply · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “a(b+c) = ab + ac”, what mistake could they make while solving a question from We Distribute, Yet Things Multiply?
Answer
They would use the wrong term or the reverse relation. Remember: a(b+c) = ab + ac. 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 8 · Subject: Mathematics · Chapter: We Distribute, Yet Things Multiply · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Factorisation is the reverse of expansion”, what mistake could they make while solving a question from We Distribute, Yet Things Multiply?
Answer
They would use the wrong term or the reverse relation. Remember: Factorisation is the reverse of expansion. 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 8 · Subject: Mathematics · Chapter: We Distribute, Yet Things Multiply · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Like terms can be added”, what mistake could they make while solving a question from We Distribute, Yet Things Multiply?
Answer
They would use the wrong term or the reverse relation. Remember: Like terms can be added. 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 8 · Subject: Mathematics · Chapter: We Distribute, Yet Things Multiply · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “A product of sums”, what mistake could they make while solving a question from We Distribute, Yet Things Multiply?
Answer
They would use the wrong term or the reverse relation. Remember: A product of sums. 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 8 · Subject: Mathematics · Chapter: We Distribute, Yet Things Multiply · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Keep the sign of each term”, what mistake could they make while solving a question from We Distribute, Yet Things Multiply?
Answer
They would use the wrong term or the reverse relation. Remember: Keep the sign of each term. 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 8 · Subject: Mathematics · Chapter: We Distribute, Yet Things Multiply · 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 Proportional Reasoning-1”, what mistake could they make while solving a question from Proportional Reasoning-1?
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 Proportional Reasoning-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 8 · Subject: Mathematics · Chapter: Proportional Reasoning-1 · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “A ratio compares two quantities of the same kind”, what mistake could they make while solving a question from Proportional Reasoning-1?
Answer
They would use the wrong term or the reverse relation. Remember: A ratio compares two quantities of the same kind. 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 8 · Subject: Mathematics · Chapter: Proportional Reasoning-1 · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “a:b = c:d means a/b = c/d”, what mistake could they make while solving a question from Proportional Reasoning-1?
Answer
They would use the wrong term or the reverse relation. Remember: a:b = c:d means a/b = c/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 8 · Subject: Mathematics · Chapter: Proportional Reasoning-1 · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Unitary method”, what mistake could they make while solving a question from Proportional Reasoning-1?
Answer
They would use the wrong term or the reverse relation. Remember: Unitary method. 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 8 · Subject: Mathematics · Chapter: Proportional Reasoning-1 · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Map scale is a ratio”, what mistake could they make while solving a question from Proportional Reasoning-1?
Answer
They would use the wrong term or the reverse relation. Remember: Map scale is a 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 8 · Subject: Mathematics · Chapter: Proportional Reasoning-1 · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Keep units consistent”, what mistake could they make while solving a question from Proportional Reasoning-1?
Answer
They would use the wrong term or the reverse relation. Remember: Keep units consistent. 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 8 · Subject: Mathematics · Chapter: Proportional Reasoning-1 · 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 Fractions in Disguise”, what mistake could they make while solving a question from Fractions in Disguise?
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 Fractions in Disguise. 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 8 · Subject: Mathematics · Chapter: Fractions in Disguise · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “A mixed number is a disguised improper fraction”, what mistake could they make while solving a question from Fractions in Disguise?
Answer
They would use the wrong term or the reverse relation. Remember: A mixed number is a disguised improper fraction. 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 8 · Subject: Mathematics · Chapter: Fractions in Disguise · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Decimal is a fraction with denominator 10, 100…”, what mistake could they make while solving a question from Fractions in Disguise?
Answer
They would use the wrong term or the reverse relation. Remember: Decimal is a fraction with denominator 10, 100…. 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 8 · Subject: Mathematics · Chapter: Fractions in Disguise · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Simplify before multiplying if you can”, what mistake could they make while solving a question from Fractions in Disguise?
Answer
They would use the wrong term or the reverse relation. Remember: Simplify before multiplying if you can. 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 8 · Subject: Mathematics · Chapter: Fractions in Disguise · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Reciprocal of a/b is b/a (a ≠ 0)”, what mistake could they make while solving a question from Fractions in Disguise?
Answer
They would use the wrong term or the reverse relation. Remember: Reciprocal of a/b is b/a (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 8 · Subject: Mathematics · Chapter: Fractions in Disguise · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Operations follow fraction rules”, what mistake could they make while solving a question from Fractions in Disguise?
Answer
They would use the wrong term or the reverse relation. Remember: Operations follow fraction rules. 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 8 · Subject: Mathematics · Chapter: Fractions in Disguise · 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-8/, 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.
