PM SHRI KENDRIYA VIDYALAYA GACHIBOWLI,GPRA
DELHI PUBLIC SCHOOL BATHINDACAMPUS,HYD–32
REVISIONPAPER
PRACTICE ASSIGNMENT
13 (2024-25)
CHAPTER-11 SURFACE AREAS AND VOLUMES
SUBJECT: MATHEMATICS MAX. MARKS : 40
CLASS : IX DURATION : 1½ hrs
General Instructions:
(i). All questions are compulsory.
(ii). This question paper contains 20 questions divided into five Sections A, B, C, D and E.
(iii). Section A comprises of 10 MCQs of 1 mark each. Section B comprises of 4 questions of 2 marks
each. Section C comprises of 3 questions of 3 marks each. Section D comprises of 1 question of 5
marks each and Section E comprises of 2 Case Study Based Questions of 4 marks each.
(iv). There is no overall choice.
(v). Use of Calculators is not permitted
SECTION – A
Questions 1 to 10 carry 1 mark each.
1. If volume and surface area of a sphere is numerically equal, then its radius is
(a) 2 units (b) 3 units (c) 4 units (d) 5 units
2. Ratio of the volume of a cone and a cylinder of same radius of base and same height is
(a) 1 : 1 (b) 1 : 2 (c) 1 : 3 (d) 1 : 4
3. A conical tent is to accommodate 11 persons. Each person requires 4 square metres of the space on
the ground and 20 cubic metres of air to breath, then the height of the cone is
(a) 10 m (b) 12 m (c) 15 m (d) 18 m
4. If surface area of a sphere is 676 π cm2, then its radius is equal to
(a) 12 cm (b) 13 cm (c) 9 cm (d) 8 cm
5. The diameter of a sphere is decreased by 25%, by what percentage its volume decreases?
(a) 25% (b) 57.81% (c) 53.50% (d) 50%
6. 100 jugs full of water are emptied in a conical flask. The height of the water level is 75 cm, the
diameter of the water level, when each jug contains 3850 cm3 of water is
(a) 70 cm (b) 35 cm (c) 140 cm (d) 210 cm
7. The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into
it. The ratios of the surface areas of the balloon in the two cases is
(a) 1 : 4 (b) 1 : 3 (c) 2 : 3 (d) 2 : 1
8. A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere.
The diameter of sphere is
(a) 4.2 cm (b) 2.1 cm (c) 2.4 cm (d) 1.6 cm
In the following questions 9 and 10, a statement of assertion (A) is followed by a statement of
Reason (R). Choose the correct answer out of the following choices.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 1 -
DELHI PUBLIC SCHOOL BATHINDACAMPUS,HYD–32
REVISIONPAPER
PRACTICE ASSIGNMENT
13 (2024-25)
CHAPTER-11 SURFACE AREAS AND VOLUMES
SUBJECT: MATHEMATICS MAX. MARKS : 40
CLASS : IX DURATION : 1½ hrs
General Instructions:
(i). All questions are compulsory.
(ii). This question paper contains 20 questions divided into five Sections A, B, C, D and E.
(iii). Section A comprises of 10 MCQs of 1 mark each. Section B comprises of 4 questions of 2 marks
each. Section C comprises of 3 questions of 3 marks each. Section D comprises of 1 question of 5
marks each and Section E comprises of 2 Case Study Based Questions of 4 marks each.
(iv). There is no overall choice.
(v). Use of Calculators is not permitted
SECTION – A
Questions 1 to 10 carry 1 mark each.
1. If volume and surface area of a sphere is numerically equal, then its radius is
(a) 2 units (b) 3 units (c) 4 units (d) 5 units
2. Ratio of the volume of a cone and a cylinder of same radius of base and same height is
(a) 1 : 1 (b) 1 : 2 (c) 1 : 3 (d) 1 : 4
3. A conical tent is to accommodate 11 persons. Each person requires 4 square metres of the space on
the ground and 20 cubic metres of air to breath, then the height of the cone is
(a) 10 m (b) 12 m (c) 15 m (d) 18 m
4. If surface area of a sphere is 676 π cm2, then its radius is equal to
(a) 12 cm (b) 13 cm (c) 9 cm (d) 8 cm
5. The diameter of a sphere is decreased by 25%, by what percentage its volume decreases?
(a) 25% (b) 57.81% (c) 53.50% (d) 50%
6. 100 jugs full of water are emptied in a conical flask. The height of the water level is 75 cm, the
diameter of the water level, when each jug contains 3850 cm3 of water is
(a) 70 cm (b) 35 cm (c) 140 cm (d) 210 cm
7. The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into
it. The ratios of the surface areas of the balloon in the two cases is
(a) 1 : 4 (b) 1 : 3 (c) 2 : 3 (d) 2 : 1
8. A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere.
The diameter of sphere is
(a) 4.2 cm (b) 2.1 cm (c) 2.4 cm (d) 1.6 cm
In the following questions 9 and 10, a statement of assertion (A) is followed by a statement of
Reason (R). Choose the correct answer out of the following choices.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 1 -
