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Published on: 04/12/2020
10th Standard Mathematics Mensuration English Medium Free Online Test 1 Mark Questions 2020-2021
Download Tamil Nadu 10th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
When Karuna divided surface area of a sphere by the sphere's volume, he got the answer as \(\frac { 1 }{ 3 } \). What is the radius of the sphere?
24 cm
9cm
54cm
4.5cm
2.
The material of a cone is converted into the shape of a cylinder of equal radius. If the height of the cylinder is 5 cm, then height of the cone is ___________
10 cm
15 cm
18 cm
24 cm
3.
A solid frustum is of height 8 cm. If the radii of its lower and upper ends are 3 cm and 9 cm respectively, then its slant height is ___________
15 cm
12 cm
10 cm
17 cm
4.
The radius of a wire is decreased to one-third of the original. If volume the same, then the length will be increased _______of the original.
3 times
6 times
9 times
27 times
5.
6.
The volume of a frustum if a cone of height L and ends-radio and r1 and r2 is ___________
\(\frac{1}{3}\)πh1(r12+r22+r1r2)
\(\frac{1}{3}\)πh(r12+r22-r1r2)
πh(r12+r22+r1r2)
πh(r12+r22-r1r2)
7.
A cylinder 10 cone and have there are of a equal base and have the same height. what is the ratio of there volumes?
3:1:2
3:2:1
1:2:3
1:3:2
8.
The radius of base of a cone 5 cm and height is 12 cm. The slant height of the cone ___________
13 cm
17 cm
7 cm
60 cm
9.
The height and radius of the cone of which the frustum is a part are h1 units and r1 units respectively. Height of the frustum is h2 units and radius of the smaller base is r2 units. If h2 : h1 = 1:2 then r2 : r1 is
1:3
1:2
2:1
3:1
10.
A spherical ball of radius r1 units is melted to make 8 new identical balls each of radius r2 units. Then r1:r2 is
2:1
1:2
4:1
1:4
11.
A frustum of a right circular cone is of height 16 cm with radii of its ends as 8 cm and 20 cm. Then, the volume of the frustum is
3328\(\pi\) cm3
3228\(\pi\) cm3
3240\(\pi\) cm3
3340\(\pi\) cm3
12.
The total surface area of a hemi-sphere is how much times the square of its radius.
\(\pi\)
4\(\pi\)
3\(\pi\)
2\(\pi\)
13.
In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If its height is 20 cm, the volume of the material in it is
5600\(\pi\) cm3
1120\(\pi\) cm3
56\(\pi\) cm3
3600\(\pi\) cm3
14.
If the radius of the base of a right circular cylinder is halved keeping the same height, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is
1:2
1:4
1:6
1:8
15.
If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is
4\(\pi\)r2 sq.units
6\(\pi\)r2 sq.units
3\(\pi\)r2 sq.units
8\(\pi\)r2 sq.units
1.
(b)
9cm
2.
(b)
15 cm
3.
(c)
10 cm
4.
(c)
9 times
5.
(a)
6.
(a)
\(\frac{1}{3}\)πh1(r12+r22+r1r2)
7.
(a)
3:1:2
8.
(a)
13 cm
9.
(b)
1:2
10.
(a)
2:1
11.
(a)
3328\(\pi\) cm3
12.
(c)
3\(\pi\)
13.
(b)
1120\(\pi\) cm3
14.
(b)
1:4
15.
(a)
4\(\pi\)r2 sq.units
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Tamilnadu Stateboard 10th Standard Subjects
Tamilnadu Stateboard Standards