NCERT Solutions for Class 6 Maths: Chapter-Wise Solutions

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Jasmine Grover

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NCERT Solutions for Class 6 Maths cover detailed explanations and step-by-step solutions to enhance the preparation of a student. Class 6 Maths NCERT Solutions are given in this article along with important concepts covered in this article. The NCERT Solutions for Class 6 Mathematics covers important chapters such as practical geometry, whole numbers, knowing our numbers, etc. 

Class 6 Maths NCERT Solutions

Chapter-wise Class 6 Maths NCERT Solutions are provided as below. Students can also download the PDF of NCERT Solutions for their reference. 

Chapter 1: Knowing Our Numbers


Chapter 2: Whole Numbers


Chapter 3: Playing with Numbers

Additional Resource: Playing Numbers MCQ


Chapter 4: Basic Geometrical Ideas


Chapter 5: Understanding Elementary Shapes


Chapter 6: Integers


Chapter 7: Fractions


Chapter 8: Decimals


Chapter 9: Data Handling


Chapter 10: Mensuration


Chapter 11: Algebra


Chapter 12: Ratio and Proportion


Chapter 13: Symmetry


Chapter 14: Practical Geometry

  • Weightage in Board Exam: Chapter 14 Practical Geometry has a weightage of 10 marks in the Class 6 Maths Examination.
  • Important Topics Covered:​
  • The Class 6 NCERT Solutions chapter exercises for Chapter 14 Practical Geometry are – 

CBSE Study Guides:

CBSE X Related Questions

  • 1.
    In an A.P., if $a_{14} - a_8 = 24$, then the common difference of the A.P. is

      • $6$
      • $4$
      • $\pm 4$
      • $3$

    • 2.
      Case Study - 1 : A model of Leafy Ball Fountain is made to be kept on the tabletop. Water gently cascades down the ball into a decorative cylindrical pool where it is recycled. The diameter of spherical ball is 21 cm. Cylindrical pool - Outer diameter is 50 cm and inner diameter is 40 cm. Height of solid base is 14 cm. Height of water filled is 7 cm. Observe the figure and answer the following questions : (i) Determine the total height of the fountain. (ii) Find the volume of the ball. (iii) (a) If one-third of the ball is submerged in the water, find the volume of the water filled in the pool. OR (iii) (b) Find the sum of the outer curved surface area of the cylindrical part and surface area of the ball.


        • 3.
          If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

            • \(4 \text{ cm}\)
            • \(4\sqrt{2} \text{ cm}\)
            • \(8 \text{ cm}\)
            • \(2\sqrt{2} \text{ cm}\)

          • 4.
            Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
            Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

              • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
              • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
              • Assertion (A) is true, but Reason (R) is false.
              • Assertion (A) is false, but Reason (R) is true.

            • 5.
              The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

                • \((x + 2), (x - 5)\)
                • \((x + 5), (x - 2)\)
                • \((x + 1), (x - 5)\)
                • \((x - 1), (x + 2)\)

              • 6.
                If \( \alpha \) and \( \beta \) are two zeroes of a polynomial \( f(x) = px^2 - 2x + 3p \) and \( \alpha + \beta = \alpha\beta \), then value of p is :

                  • \( -\frac{2}{3} \)
                  • \( \frac{2}{3} \)
                  • \( \frac{1}{3} \)
                  • \( -\frac{1}{3} \)

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