Surface Areas and Volumes CBSE Class 10 PYQ Chapter Wise

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Answer first

Surface Areas and Volumes PYQs (previous year questions) for CBSE Class 10: Surface Areas and Volumes (Mathematics) had 27 questions across the 40 official CBSE Class 10 papers we tagged (2016–2026), and appeared in 10 of them. Asked in 10 of 10 years. The concepts asked in the most papers: Combination of Solids, Frustum, Conversion of Solids.

Year-wise question count

Asked in 10 of 10 years.

Most-asked concepts

Sorted by the number of papers a concept appeared in.

How to practise Surface Areas and Volumes PYQs

1. Start with the concepts at the top of the table. They have come back the most.
2. Solve one year’s Surface Areas and Volumes questions from the official PDF against the clock, then check the answer listed below.
3. Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
4. Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.

Questions by year

Each line gives the question number and paper, type, concept, our one-line summary, with a link to the official PDF.

CBSE Class 102026

• Q.16 (Mathematics Standard (30/1/1)) · MCQ · Surface Area of Hemisphere: Total surface area of a solid hemisphere of diameter 2d PDF
• Q.30 (Mathematics Standard (30/1/1)) · Short answer · Combination of Solids: Volume of cylinder with hemispherical ends PDF

CBSE Class 102025

• Q.20 (Mathematics Standard (30/1/1)) · Assertion-Reason · Surface Area of Sphere: Assertion-reason on joining hemispheres and sphere's surface area PDF
• Q.30 (Mathematics Standard (30/1/1)) · Short answer · Combination of Solids: Cylinder height of room with hemispherical dome from air volume PDF

CBSE Class 102024

• Q.13 (Mathematics Standard (30/1/1)) · MCQ · Surface Area of Sphere: Ratio of sphere's surface to two hemispheres' total surface PDF
• Q.15 (Mathematics Standard (30/1/1)) · MCQ · Volume of Cone: Largest cone carved from a cube of edge 2 cm PDF
• Q.31 (Mathematics Standard (30/1/1)) · Short answer · Volume of Cylinder: Outer and inner radii of hollow cylinder from metal volume PDF

CBSE Class 102023

• Q.10 (Mathematics Standard (30/1/1)) · MCQ · Surface Area of Cylinder: Radius of cylinder from curved surface area and height PDF
• Q.12 (Mathematics Standard (30/1/1)) · MCQ · Surface Area of Cone: Curved surface area of a cone from height and radius PDF
• Q.31 (Mathematics Standard (30/1/1)) · Short answer · Combination of Solids: Total height of room with hemispherical dome from air volume PDF

CBSE Class 102022

• Q.2 (Mathematics Standard (30/1/1)) · Short answer · Conversion of Solids: Number of small cones recast from a melted sphere PDF
• Q.11 (Mathematics Standard (30/1/1)) · Long answer · Combination of Solids: Total surface area of cylinder with conical cavity PDF

CBSE Class 102020

• Q.17 (Mathematics Standard (30/1/1)) · Very short answer · Volume of Cone: Ratio of volumes of two cones from height and radius ratios PDF
• Q.34 (Mathematics Standard (30/1/1)) · Short answer · Frustum: Compare volumes of cone parts cut at mid-height PDF
• Q.39 (Mathematics Standard (30/1/1)) · Long answer · Frustum: Capacity of frustum bucket and cost of milk to fill it PDF

CBSE Class 102019

• Q.21 (Mathematics (30/1/1)) · Short answer · Flow of Water: Area irrigated by canal water in 30 minutes PDF
• Q.28 (Mathematics (30/1/1)) · Long answer · Frustum: Height and metal sheet area of a frustum-shaped bucket PDF

CBSE Class 102018

• Q.21 (Mathematics (30/1)) · Short answer · Combination of Solids: Total surface area of cylinder with hemispheres scooped out PDF
• Q.28 (Mathematics (30/1)) · Long answer · Frustum: Metal sheet area for a frustum-shaped bucket, with value PDF

CBSE Class 102017

• Q.18 (Mathematics (30/1)) · Short answer · Flow of Water: Area irrigated by canal water flowing for 40 minutes PDF
• Q.19 (Mathematics (30/1)) · Short answer · Frustum: Curved surface area of frustum from end perimeters and slant height PDF
• Q.20 (Mathematics (30/1)) · Short answer · Conversion of Solids: Length of hollow pipe recast from a melted iron cuboid PDF
• Q.31 (Mathematics (30/1)) · Long answer · Volume of Cylinder: Rainfall from roof water filling a cylindrical tank, with value PDF

CBSE Class 102016

• Q.12 (Mathematics (30/1)) · Short answer · Combination of Solids: Canvas cost for tent of cylinder topped by cone PDF
• Q.17 (Mathematics (30/1)) · Short answer · Conversion of Solids: Water height when cone's water is poured into a cylinder PDF
• Q.18 (Mathematics (30/1)) · Short answer · Conversion of Solids: Diameter of cylinder given rise in water level from submerged sphere PDF
• Q.21 (Mathematics (30/1)) · Long answer · Combination of Solids: Cost per school for canvas of 1500 cylinder-cone tents, with value PDF

Other Mathematics chapters

• Real Numbers PYQs
• Polynomials PYQs
• Pair of Linear Equations in Two Variables PYQs
• Quadratic Equations PYQs
• Arithmetic Progressions PYQs
• Triangles PYQs
• Coordinate Geometry PYQs
• Introduction to Trigonometry PYQs
• Some Applications of Trigonometry PYQs
• Circles PYQs
• Constructions PYQs
• Areas Related to Circles PYQs
• Statistics PYQs
• Probability PYQs

FAQ

How many Surface Areas and Volumes questions come in CBSE Class 10?

In the official papers we tagged: 2 in 2026, 2 in 2025, 3 in 2024, 3 in 2023, 2 in 2022, 3 in 2020, 2 in 2019, 2 in 2018, 4 in 2017 and 4 in 2016. That is 27 questions in all, about 8% of Mathematics.

Which Surface Areas and Volumes topics repeat in CBSE Class 10?

Asked in the most papers: Combination of Solids, Frustum, Conversion of Solids. The concept table lists every one with its count.

Are these official CBSE Class 10 questions?

Yes. Every question is from an official CBSE Class 10 paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.