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Class 9 Maths Test Paper: Surface Areas and Volumes

byMentorsPath •January 29, 2026

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Class 9 Maths Test Paper: Surface Areas and Volumes (पृष्ठीय क्षेत्रफल एवं आयतन)

This Class 9 Mathematics: Surface Areas and Volumes Test Paper is prepared strictly as per the CBSE & NCERT exam pattern. The paper is of 20 marks and includes a balanced mix of 1-mark, 2-mark and 4-mark questions, covering all important and frequently asked concepts such as cube, cuboid, cylinder, cone, sphere, hemisphere and conversion-based word problems.

Time: 40 Minutes Maximum Marks: 20

Section A: Very Short Answer / अति लघु उत्तरीय

(1 × 4 = 4 marks)

Q1. (1 mark) Write the formula for the curved surface area (CSA) of a cylinder.

बेलन के वक्र पृष्ठीय क्षेत्रफल (CSA) का सूत्र लिखिए।

Q2. (1 mark) Write the formula for the volume of a sphere.

गोले के आयतन का सूत्र लिखिए।

Q3. (1 mark) How many faces does a cube have?

घन के कितने फलक होते हैं?

Q4. (1 mark) If the radius of a sphere is doubled, how many times does its volume increase?

यदि गोले की त्रिज्या दोगुनी कर दी जाए, तो उसका आयतन कितनी गुना हो जाएगा?

Section B: Short Answer / लघु उत्तरीय

(2 × 4 = 8 marks)

Q5. (2 marks) Find the volume of a cube whose edge is 7 cm.

7 सेमी भुजा वाले घन का आयतन ज्ञात कीजिए।

Q6. (2 marks) Find the curved surface area of a cylinder of radius 7 cm and height 10 cm.

7 सेमी त्रिज्या और 10 सेमी ऊँचाई वाले बेलन का वक्र पृष्ठीय क्षेत्रफल ज्ञात कीजिए।

Q7. (2 marks) Find the volume of a sphere of radius 3.5 cm.

3.5 सेमी त्रिज्या वाले गोले का आयतन ज्ञात कीजिए।

Q8. (2 marks) Find the total surface area of a cuboid whose dimensions are 5 cm, 4 cm and 3 cm.

5 सेमी, 4 सेमी और 3 सेमी आयाम वाले घनाभ का कुल पृष्ठीय क्षेत्रफल ज्ञात कीजिए।

Section C: Long Answer / दीर्घ उत्तरीय

(4 × 2 = 8 marks)

Q9. (4 marks) A right circular cylinder has radius 7 cm and height 14 cm.

(i) Find its curved surface area
(ii) Find its volume

एक समवृत्तीय बेलन की त्रिज्या 7 सेमी और ऊँचाई 14 सेमी है。
(i) उसका वक्र पृष्ठीय क्षेत्रफल ज्ञात कीजिए
(ii) उसका आयतन ज्ञात कीजिए

Q10. (4 marks) The diameter of a sphere is 14 cm.

(i) Find the volume of the sphere
(ii) Find the curved surface area of the sphere

एक गोले का व्यास 14 सेमी है。
(i) गोले का आयतन ज्ञात कीजिए
(ii) गोले का वक्र पृष्ठीय क्षेत्रफल ज्ञात कीजिए

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