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Geometry & Volume Math Test

The document is a mathematics test consisting of multiple choice questions, short answer questions, and problem-solving questions across various topics including geometry, volume, and surface area. It is divided into four sections with a total of 25 questions, covering concepts such as the surface area of cubes, volumes of different shapes, and practical applications of geometry. The test is designed to assess students' understanding of mathematical principles and their ability to apply them in real-world scenarios.

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20 views2 pages

Geometry & Volume Math Test

The document is a mathematics test consisting of multiple choice questions, short answer questions, and problem-solving questions across various topics including geometry, volume, and surface area. It is divided into four sections with a total of 25 questions, covering concepts such as the surface area of cubes, volumes of different shapes, and practical applications of geometry. The test is designed to assess students' understanding of mathematical principles and their ability to apply them in real-world scenarios.

Uploaded by

zarlenn.store.cc
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Mathematics Test Time: 50 Minutes

Section A: Multiple Choice Questions (5 x 1 = 5 marks)


1. The total surface area of a cube is 726 cm2. The length of its edge is-
a) 14
b) 26
c) 27
d) 11
2. Find the capacity in kilo Liters, if the volume of a box is 888m3:
a) 888
b) 88.8
c) 8.88
d) None of these
3. The volume of a cone of radius r/2 and height ‘2h’ is:
1
a) 3 𝜋𝑟 2 ℎ
b) 𝜋𝑟 2 ℎ
1
c) 6 𝜋𝑟 2 ℎ
1
d) 3
𝜋𝑟 3

4. A semi-circular sheet of metal of radius 14cm is bent to form an open conical cup. The radius of the cup is:
a) 7cm
b) 14cm
c) 10cm
d) 12.12cm
5. If the total surface area of the cardboard used to make some cylindrical hats is 13m2 and the area of one hat is
1.625cm2. The no. of hats is:
a) 8
b) 10
c) 6
d) 13

Section B: (4 x 2 = 8 marks)
1. Calculate the volume of a cuboid with dimensions 4 cm, 5 cm, and 6 cm.
2. What is the height of a cylinder if its volume is 154 cm³ and its radius is 3.5 cm?
3. If a right circular cone has a radius 4 cm and slant height of 5 cm then what is its volume?
4. A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?

Section C: (4 x 3 = 12 marks)
1. A spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57 cm?, find the
volume of the spherical ball. [use π = 3.14]
2. A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm3) is needed to
fill this capsule?
3. Curved surface area of cylindrical reservoir 12 m deep is plastered from inside with concrete mixture at the rate of
Rs 15 per m2. If the total payment made is of Rs 5652, then find the capacity of this reservoir in litres.
4. The diameter of a roller is 42 cm and its length is 120 cm. It takes 500 complete revolutions to move once to land a
playground. Find the playground area in m2. [Hint: area covered in full revolutions of a roller = Total area of the
playground].

Section D: (3 x 5 = 15 marks)
1. A hemispherical tank is emptied by a pipe at the rate of 5 litres per minute. How long will it take to half empty the
1
tank if it is 1 2 metre in diameter.

2. A dome of a building is in the form of a hemisphere. From inside, it was whitewashed at the cost of Rs 498.96. If the
rate of whitewashing is Rs 4 per square meter, find the :
(i) Inside surface area of the dome
(ii) Volume of the air inside the dome
3. Manoj Sweets placed an order to make 30 cm x 20 cm x 6 cm cardboard boxes for packing their sweets. For all
overlaps, 5 % of the total area is required extra. If the cost of the cardboard is Rs 2 for 1000 cm2, find the cost of the
cardboard used for making 500 boxes.

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