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Important Formulas · original practice

Class 10 Mathematics Important Formulas

Important Formulas 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

Q1MCQ1 markEasyRevision pick

Choose the correct statement related to Fundamental Theorem of Arithmetic in the chapter Real Numbers.

  • A. A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors
  • B. Fundamental Theorem of Arithmetic (statement)
  • C. Every composite number can be expressed as a product of primes, unique except for the order of factors
  • D. Euclid’s algorithm finds HCF by repeated division: HCF(a,b)=HCF(b,a mod b)
Answer

C. Every composite number can be expressed as a product of primes, unique except for the order of factors

Explanation

Every composite number can be expressed as a product of primes, unique except for the order of factors. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q2MCQ1 markEasy

Choose the correct statement related to HCF and LCM in the chapter Real Numbers.

  • A. HCF × LCM = product of two positive integers
  • B. HCF is the product of smallest powers and LCM the product of greatest powers of common primes
  • C. For two positive integers, HCF × LCM equals the product of the numbers
  • D. If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal
Answer

C. For two positive integers, HCF × LCM equals the product of the numbers

Explanation

For two positive integers, HCF × LCM equals the product of the numbers. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q3MCQ1 markEasy

Choose the correct statement related to Terminating decimal in the chapter Real Numbers.

  • A. Terminating decimals: denominator 2^m 5^n after simplifying
  • B. Real numbers include all rationals and irrationals and fill the number line
  • C. √2, √3 and √5 are irrational; they cannot be written as p/q with integers p, q ≠ 0
  • D. A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors
Answer

D. A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors

Explanation

A rational p/q in lowest terms has a terminating decimal if q has only 2 and/or 5 as prime factors. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q4MCQ1 markEasy

Choose the correct statement related to Non-terminating repeating in the chapter Real Numbers.

  • A. Euclid’s algorithm finds HCF by repeated division: HCF(a,b)=HCF(b,a mod b)
  • B. Fundamental Theorem of Arithmetic (statement)
  • C. √2, √3, √5 are irrational
  • D. If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal
Answer

D. If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal

Explanation

If q has a prime factor other than 2 or 5, p/q has a non-terminating repeating decimal. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Real Numbers · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q1MCQ1 markEasyRevision pick

Choose the correct statement related to Polynomials in the chapter Polynomials.

  • A. CBSE often tests a concept by asking a daily-life example from the same chapter
  • B. Polynomials is an NCERT chapter taught in CBSE Class 10 Mathematics
  • C. A quadratic has at most two zeros
  • D. Product of zeros = c/a
Answer

C. A quadratic has at most two zeros

Explanation

A quadratic has at most two zeros. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q2MCQ1 markEasy

Choose the correct statement related to Polynomials in the chapter Polynomials.

  • A. Sum of zeros = −b/a
  • B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
  • C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
  • D. Division algorithm as retained
Answer

A. Sum of zeros = −b/a

Explanation

Sum of zeros = −b/a. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q3MCQ1 markEasy

Choose the correct statement related to Polynomials in the chapter Polynomials.

  • A. Graph of a quadratic is a parabola
  • B. Every chapter ends with keywords or a summary that is useful for one-mark answers
  • C. Product of zeros = c/a
  • D. Write three points from Polynomials in your own words; that is enough for a short-answer start
Answer

C. Product of zeros = c/a

Explanation

Product of zeros = c/a. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q4MCQ1 markEasy

Choose the correct statement related to Polynomials in the chapter Polynomials.

  • A. Polynomials is an NCERT chapter taught in CBSE Class 10 Mathematics
  • B. Use the terms used in the NCERT book; do not replace them with unofficial names
  • C. CBSE often tests a concept by asking a daily-life example from the same chapter
  • D. Division algorithm as retained
Answer

D. Division algorithm as retained

Explanation

Division algorithm as retained. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q1MCQ1 markEasyRevision pick

Choose the correct statement related to Consistent pair in the chapter Pair of Linear Equations in Two Variables.

  • A. CBSE often tests a concept by asking a daily-life example from the same chapter
  • B. Consistent pair: unique or infinitely many solutions
  • C. a1/a2 = b1/b2 = c1/c2 → infinite
  • D. Pair of Linear Equations in Two Variables is an NCERT chapter taught in CBSE Class 10 Mathematics
Answer

B. Consistent pair: unique or infinitely many solutions

Explanation

Consistent pair: unique or infinitely many solutions. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Pair of Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q2MCQ1 markEasy

Choose the correct statement related to Inconsistent in the chapter Pair of Linear Equations in Two Variables.

  • A. Substitution, elimination
  • B. Inconsistent: no solution
  • C. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
  • D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer

B. Inconsistent: no solution

Explanation

Inconsistent: no solution. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Pair of Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q3MCQ1 markEasy

Choose the correct statement related to Pair of Linear Equations in Two Variables in the chapter Pair of Linear Equations in Two Variables.

  • A. Cross-multiplication if your school still teaches it — check syllabus
  • B. Write three points from Pair of Linear Equations in Two Variables in your own words; that is enough for a short-answer start
  • C. Every chapter ends with keywords or a summary that is useful for one-mark answers
  • D. a1/a2 = b1/b2 = c1/c2 → infinite
Answer

D. a1/a2 = b1/b2 = c1/c2 → infinite

Explanation

a1/a2 = b1/b2 = c1/c2 → infinite. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Pair of Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q4MCQ1 markEasy

Choose the correct statement related to Pair of Linear Equations in Two Variables in the chapter Pair of Linear Equations in Two Variables.

  • A. Use the terms used in the NCERT book; do not replace them with unofficial names
  • B. Substitution, elimination
  • C. CBSE often tests a concept by asking a daily-life example from the same chapter
  • D. Pair of Linear Equations in Two Variables is an NCERT chapter taught in CBSE Class 10 Mathematics
Answer

B. Substitution, elimination

Explanation

Substitution, elimination. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Pair of Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q1MCQ1 markEasyRevision pick

Choose the correct statement related to Quadratic Equations in the chapter Quadratic Equations.

  • A. CBSE often tests a concept by asking a daily-life example from the same chapter
  • B. ax²+bx+c=0, a≠0
  • C. D>0 two distinct real roots
  • D. Quadratic Equations is an NCERT chapter taught in CBSE Class 10 Mathematics
Answer

B. ax²+bx+c=0, a≠0

Explanation

ax²+bx+c=0, a≠0. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q2MCQ1 markEasy

Choose the correct statement related to Quadratic Equations in the chapter Quadratic Equations.

  • A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
  • B. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
  • C. Discriminant D = b²−4ac
  • D. Quadratic formula
Answer

C. Discriminant D = b²−4ac

Explanation

Discriminant D = b²−4ac. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q3MCQ1 markEasy

Choose the correct statement related to Quadratic Equations in the chapter Quadratic Equations.

  • A. Every chapter ends with keywords or a summary that is useful for one-mark answers
  • B. Write three points from Quadratic Equations in your own words; that is enough for a short-answer start
  • C. D>0 two distinct real roots
  • D. Word problems: speed, area, numbers
Answer

C. D>0 two distinct real roots

Explanation

D>0 two distinct real roots. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q4MCQ1 markEasy

Choose the correct statement related to Quadratic Equations in the chapter Quadratic Equations.

  • A. Quadratic Equations is an NCERT chapter taught in CBSE Class 10 Mathematics
  • B. Use the terms used in the NCERT book; do not replace them with unofficial names
  • C. Quadratic formula
  • D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer

C. Quadratic formula

Explanation

Quadratic formula. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Quadratic Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q1MCQ1 markEasyRevision pick

Choose the correct statement related to Arithmetic Progressions in the chapter Arithmetic Progressions.

  • A. CBSE often tests a concept by asking a daily-life example from the same chapter
  • B. Arithmetic Progressions is an NCERT chapter taught in CBSE Class 10 Mathematics
  • C. a, a+d, a+2d, …
  • D. Sn = n/2 [2a+(n−1)d]
Answer

C. a, a+d, a+2d, …

Explanation

a, a+d, a+2d, …. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Arithmetic Progressions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q2MCQ1 markEasy

Choose the correct statement related to Arithmetic Progressions in the chapter Arithmetic Progressions.

  • A. an = a+(n−1)d
  • B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
  • C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
  • D. d can be negative
Answer

A. an = a+(n−1)d

Explanation

an = a+(n−1)d. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Arithmetic Progressions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q3MCQ1 markEasy

Choose the correct statement related to Arithmetic Progressions in the chapter Arithmetic Progressions.

  • A. Sn = n/2 [2a+(n−1)d]
  • B. Every chapter ends with keywords or a summary that is useful for one-mark answers
  • C. Write three points from Arithmetic Progressions in your own words; that is enough for a short-answer start
  • D. Apply to real sequences
Answer

A. Sn = n/2 [2a+(n−1)d]

Explanation

Sn = n/2 [2a+(n−1)d]. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Arithmetic Progressions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q4MCQ1 markEasy

Choose the correct statement related to Arithmetic Progressions in the chapter Arithmetic Progressions.

  • A. Use the terms used in the NCERT book; do not replace them with unofficial names
  • B. d can be negative
  • C. CBSE often tests a concept by asking a daily-life example from the same chapter
  • D. Arithmetic Progressions is an NCERT chapter taught in CBSE Class 10 Mathematics
Answer

B. d can be negative

Explanation

d can be negative. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Arithmetic Progressions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q1MCQ1 markEasyRevision pick

Choose the correct statement related to Triangles in the chapter Triangles.

  • A. AA, SSS, SAS similarity
  • B. CBSE often tests a concept by asking a daily-life example from the same chapter
  • C. Triangles is an NCERT chapter taught in CBSE Class 10 Mathematics
  • D. Areas of similar triangles ratio = square of sides ratio
Answer

A. AA, SSS, SAS similarity

Explanation

AA, SSS, SAS similarity. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q2MCQ1 markEasy

Choose the correct statement related to Triangles in the chapter Triangles.

  • A. Basic Proportionality Theorem (Thales) — statement and application
  • B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
  • C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
  • D. Pythagoras theorem
Answer

A. Basic Proportionality Theorem (Thales) — statement and application

Explanation

Basic Proportionality Theorem (Thales) — statement and application. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q3MCQ1 markEasy

Choose the correct statement related to Triangles in the chapter Triangles.

  • A. Areas of similar triangles ratio = square of sides ratio
  • B. Every chapter ends with keywords or a summary that is useful for one-mark answers
  • C. Converse of Pythagoras
  • D. Write three points from Triangles in your own words; that is enough for a short-answer start
Answer

A. Areas of similar triangles ratio = square of sides ratio

Explanation

Areas of similar triangles ratio = square of sides ratio. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q4MCQ1 markEasy

Choose the correct statement related to Triangles in the chapter Triangles.

  • A. Use the terms used in the NCERT book; do not replace them with unofficial names
  • B. Pythagoras theorem
  • C. CBSE often tests a concept by asking a daily-life example from the same chapter
  • D. Triangles is an NCERT chapter taught in CBSE Class 10 Mathematics
Answer

B. Pythagoras theorem

Explanation

Pythagoras theorem. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q1MCQ1 markEasyRevision pick

Choose the correct statement related to Coordinate Geometry in the chapter Coordinate Geometry.

  • A. CBSE often tests a concept by asking a daily-life example from the same chapter
  • B. Mid-point is section 1:1
  • C. Distance formula
  • D. Coordinate Geometry is an NCERT chapter taught in CBSE Class 10 Mathematics
Answer

C. Distance formula

Explanation

Distance formula. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q2MCQ1 markEasy

Choose the correct statement related to Coordinate Geometry in the chapter Coordinate Geometry.

  • A. Area of triangle from coordinates
  • B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
  • C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
  • D. Section formula
Answer

D. Section formula

Explanation

Section formula. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q3MCQ1 markEasy

Choose the correct statement related to Mid-point is section 1 in the chapter Coordinate Geometry.

  • A. Every chapter ends with keywords or a summary that is useful for one-mark answers
  • B. Mid-point is section 1:1
  • C. Write three points from Coordinate Geometry in your own words; that is enough for a short-answer start
  • D. Collinear if area 0
Answer

B. Mid-point is section 1:1

Explanation

Mid-point is section 1:1. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q4MCQ1 markEasy

Choose the correct statement related to Coordinate Geometry in the chapter Coordinate Geometry.

  • A. Coordinate Geometry is an NCERT chapter taught in CBSE Class 10 Mathematics
  • B. Use the terms used in the NCERT book; do not replace them with unofficial names
  • C. Area of triangle from coordinates
  • D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer

C. Area of triangle from coordinates

Explanation

Area of triangle from coordinates. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q1MCQ1 markEasyRevision pick

Choose the correct statement related to Introduction to Trigonometry in the chapter Introduction to Trigonometry.

  • A. CBSE often tests a concept by asking a daily-life example from the same chapter
  • B. sin, cos, tan of acute angles
  • C. Introduction to Trigonometry is an NCERT chapter taught in CBSE Class 10 Mathematics
  • D. tanθ = sinθ/cosθ
Answer

B. sin, cos, tan of acute angles

Explanation

sin, cos, tan of acute angles. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Introduction to Trigonometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q2MCQ1 markEasy

Choose the correct statement related to Introduction to Trigonometry in the chapter Introduction to Trigonometry.

  • A. sin²θ+cos²θ=1
  • B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
  • C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
  • D. Standard angles 0°, 30°, 45°, 60°, 90°
Answer

A. sin²θ+cos²θ=1

Explanation

sin²θ+cos²θ=1. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Introduction to Trigonometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q3MCQ1 markEasy

Choose the correct statement related to Introduction to Trigonometry in the chapter Introduction to Trigonometry.

  • A. cot, sec, csc as reciprocals
  • B. Every chapter ends with keywords or a summary that is useful for one-mark answers
  • C. Write three points from Introduction to Trigonometry in your own words; that is enough for a short-answer start
  • D. tanθ = sinθ/cosθ
Answer

D. tanθ = sinθ/cosθ

Explanation

tanθ = sinθ/cosθ. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Introduction to Trigonometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q4MCQ1 markEasy

Choose the correct statement related to Introduction to Trigonometry in the chapter Introduction to Trigonometry.

  • A. Introduction to Trigonometry is an NCERT chapter taught in CBSE Class 10 Mathematics
  • B. Standard angles 0°, 30°, 45°, 60°, 90°
  • C. Use the terms used in the NCERT book; do not replace them with unofficial names
  • D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer

B. Standard angles 0°, 30°, 45°, 60°, 90°

Explanation

Standard angles 0°, 30°, 45°, 60°, 90°. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Introduction to Trigonometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q1MCQ1 markEasyRevision pick

Choose the correct statement related to Some Applications of Trigonometry in the chapter Some Applications of Trigonometry.

  • A. CBSE often tests a concept by asking a daily-life example from the same chapter
  • B. Some Applications of Trigonometry is an NCERT chapter taught in CBSE Class 10 Mathematics
  • C. Line of sight
  • D. A right triangle model
Answer

C. Line of sight

Explanation

Line of sight. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Some Applications of Trigonometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q2MCQ1 markEasy

Choose the correct statement related to Some Applications of Trigonometry in the chapter Some Applications of Trigonometry.

  • A. Angle of elevation and depression
  • B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
  • C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
  • D. Draw a figure first
Answer

A. Angle of elevation and depression

Explanation

Angle of elevation and depression. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Some Applications of Trigonometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q3MCQ1 markEasy

Choose the correct statement related to Some Applications of Trigonometry in the chapter Some Applications of Trigonometry.

  • A. Every chapter ends with keywords or a summary that is useful for one-mark answers
  • B. A right triangle model
  • C. Write three points from Some Applications of Trigonometry in your own words; that is enough for a short-answer start
  • D. Use tan more often than sin/cos in tower problems
Answer

B. A right triangle model

Explanation

A right triangle model. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Some Applications of Trigonometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q4MCQ1 markEasy

Choose the correct statement related to Some Applications of Trigonometry in the chapter Some Applications of Trigonometry.

  • A. Use the terms used in the NCERT book; do not replace them with unofficial names
  • B. CBSE often tests a concept by asking a daily-life example from the same chapter
  • C. Draw a figure first
  • D. Some Applications of Trigonometry is an NCERT chapter taught in CBSE Class 10 Mathematics
Answer

C. Draw a figure first

Explanation

Draw a figure first. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Some Applications of Trigonometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q1MCQ1 markEasyRevision pick

Choose the correct statement related to Circles in the chapter Circles.

  • A. CBSE often tests a concept by asking a daily-life example from the same chapter
  • B. Circles is an NCERT chapter taught in CBSE Class 10 Mathematics
  • C. Number of tangents from a point
  • D. Tangent ⊥ radius at point of contact
Answer

D. Tangent ⊥ radius at point of contact

Explanation

Tangent ⊥ radius at point of contact. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Circles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q2MCQ1 markEasy

Choose the correct statement related to Circles in the chapter Circles.

  • A. Two tangents from an external point are equal
  • B. Alternate segment if in your book
  • C. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
  • D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer

A. Two tangents from an external point are equal

Explanation

Two tangents from an external point are equal. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Circles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q3MCQ1 markEasy

Choose the correct statement related to Circles in the chapter Circles.

  • A. Write three points from Circles in your own words; that is enough for a short-answer start
  • B. Every chapter ends with keywords or a summary that is useful for one-mark answers
  • C. Number of tangents from a point
  • D. Contact point
Answer

C. Number of tangents from a point

Explanation

Number of tangents from a point. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Circles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q4MCQ1 markEasy

Choose the correct statement related to Circles in the chapter Circles.

  • A. Use the terms used in the NCERT book; do not replace them with unofficial names
  • B. Circles is an NCERT chapter taught in CBSE Class 10 Mathematics
  • C. Alternate segment if in your book
  • D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer

C. Alternate segment if in your book

Explanation

Alternate segment if in your book. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Circles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q1MCQ1 markEasyRevision pick

Choose the correct statement related to Areas Related to Circles in the chapter Areas Related to Circles.

  • A. CBSE often tests a concept by asking a daily-life example from the same chapter
  • B. Sector area = (θ/360)×πr²
  • C. Area of circle = πr²
  • D. Areas Related to Circles is an NCERT chapter taught in CBSE Class 10 Mathematics
Answer

C. Area of circle = πr²

Explanation

Area of circle = πr². The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Areas Related to Circles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q2MCQ1 markEasy

Choose the correct statement related to Areas Related to Circles in the chapter Areas Related to Circles.

  • A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
  • B. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
  • C. Segment = sector − triangle
  • D. Circumference = 2πr
Answer

D. Circumference = 2πr

Explanation

Circumference = 2πr. The other options mix ideas from nearby topics or reverse the textbook fact.

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Class: Class 10 · Subject: Mathematics · Chapter: Areas Related to Circles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q3MCQ1 markEasy

Choose the correct statement related to Areas Related to Circles in the chapter Areas Related to Circles.

  • A. Length of arc = (θ/360)×2πr
  • B. Every chapter ends with keywords or a summary that is useful for one-mark answers
  • C. Sector area = (θ/360)×πr²
  • D. Write three points from Areas Related to Circles in your own words; that is enough for a short-answer start
Answer

C. Sector area = (θ/360)×πr²

Explanation

Sector area = (θ/360)×πr². The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Areas Related to Circles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q4MCQ1 markEasy

Choose the correct statement related to Areas Related to Circles in the chapter Areas Related to Circles.

  • A. Use the terms used in the NCERT book; do not replace them with unofficial names
  • B. Areas Related to Circles is an NCERT chapter taught in CBSE Class 10 Mathematics
  • C. CBSE often tests a concept by asking a daily-life example from the same chapter
  • D. Segment = sector − triangle
Answer

D. Segment = sector − triangle

Explanation

Segment = sector − triangle. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Areas Related to Circles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q1MCQ1 markEasyRevision pick

Choose the correct statement related to Surface Areas and Volumes in the chapter Surface Areas and Volumes.

  • A. CSA, TSA, volume of cone, sphere, cylinder, frustum if included
  • B. CBSE often tests a concept by asking a daily-life example from the same chapter
  • C. Surface Areas and Volumes is an NCERT chapter taught in CBSE Class 10 Mathematics
  • D. Cone V = ⅓ πr²h
Answer

A. CSA, TSA, volume of cone, sphere, cylinder, frustum if included

Explanation

CSA, TSA, volume of cone, sphere, cylinder, frustum if included. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q2MCQ1 markEasy

Choose the correct statement related to Surface Areas and Volumes in the chapter Surface Areas and Volumes.

  • A. Melted and recast problems keep volume constant
  • B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
  • C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
  • D. Volume of sphere = 4/3 πr³
Answer

D. Volume of sphere = 4/3 πr³

Explanation

Volume of sphere = 4/3 πr³. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q3MCQ1 markEasy

Choose the correct statement related to Surface Areas and Volumes in the chapter Surface Areas and Volumes.

  • A. Cone V = ⅓ πr²h
  • B. Every chapter ends with keywords or a summary that is useful for one-mark answers
  • C. Write three points from Surface Areas and Volumes in your own words; that is enough for a short-answer start
  • D. Use the same π throughout
Answer

A. Cone V = ⅓ πr²h

Explanation

Cone V = ⅓ πr²h. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q4MCQ1 markEasy

Choose the correct statement related to Surface Areas and Volumes in the chapter Surface Areas and Volumes.

  • A. Use the terms used in the NCERT book; do not replace them with unofficial names
  • B. Melted and recast problems keep volume constant
  • C. Surface Areas and Volumes is an NCERT chapter taught in CBSE Class 10 Mathematics
  • D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer

B. Melted and recast problems keep volume constant

Explanation

Melted and recast problems keep volume constant. The other options mix ideas from nearby topics or reverse the textbook fact.

Meta

Class: Class 10 · Subject: Mathematics · Chapter: Surface Areas and Volumes · 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 “Important Formulas” 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.

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Next step

After this page, use these three links — do not open a random page.

24/7 Test Series

Timed papers with a scorecard — start any time, then return to a related quiz above.