10th Standard CBSE Syllabus & Materials
10th Standard CBSE
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Published on: 04/11/2019
Second quarter exam 2019
Download CBSE Class 10th Standard CBSE Maths question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 10th Standard CBSE Maths
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1.
park is in the form of a rectangle 120m by 90 m. At the centre of the park there is a circular lawn as shown in the figure. If the area of the park excluding the lawn is 2950 m2, then the radius of the circular lawn will be
50 m
60 m
35 m
40 m
2.
If O is the centre of the circle, and OA and OB are two radii, find the ratio of the area of the sector AOB to the area of the circle, if ㄥAOB = 60o
1:4
4:1
1:6
6:1
3.
If the ratio of the arc AB to the circumference of a circle is 1:3,then measure of the angle subtended by the arc at the centre is
120°
172°
72°
65°
4.
If the diameter of semicircular protractor is 14 cm, then its perimeter is:
30 cm
44 cm
36 cm
40 cm
5.
The outer and inner diameters of a circular ring are 34 cm and 32 cm respectively. The area of the ring is:
33π cm2
60π cm2
66π cm2
29π cm2
6.
A wire in the shape of square of perimeter 88 cm is bent so as to form a circular ring. Find the radius of the ring.
28 cm
7 cm
14 cm
22 cm
7.
The area of a circular plot is 9856 sq. m. The cost of fencing the plot at the rate of Rs. 6 per meter will be
Rs. 3456
Rs. 2211
Rs. 2112
Rs. 2000
8.
If the side of an equilateral triangle and the radius of a circle are equal, find the ratio of their areas.
\(\pi :\sqrt { 2 } \)
\(\sqrt { 2 } :\pi \)
\(\sqrt { 3 } :4\pi \)
\(\sqrt { 3\pi } :4\)
9.
In fig, area of shaded region is
\(\pi \left( { r }_{ 1 }^{ 2 }+{ r }_{ 2 }^{ 2 } \right) \)
\(\pi \left( { r }_{ 1 }+{ r }_{ 2 } \right) \)
\(\pi \left( { r }_{ 1 }-{ r }_{ 2 } \right) \)
\(\pi \left( { r }_{ 2 }^{ 2 }+{ r }_{ 1 }^{ 2 } \right) \)
10.
The radii of two circles are 19 cm and 9 cm respectively. The radius of the circle which has its circumference equal to the sum of the circumferences of the two circles is:
30 cm
26 cm
32 cm
28 cm
11.
In given figure, a circle of radius 7.5cm is inscribed in a square, the remaining area of the square is
46 cm sq.
48.91 cm sq
52.32 cm sq
48.375 cm sq
12.
To warn ships of underwater rocks, a light house spreads a red colored light over a sector of angle 80o to a distance of 16.5 km. The area of the sea over which the ships are warned is
135.7 km2
200 km2
180.5 km2
190.14 km2
13.
The value of π is
4.13
11/7
33/6
3.14
14.
The area of a circle with diameter 6 m exceeds the combined areas of circles with diameters 4m and 2 m by
0 m2
4π m2
π m2
5π m2
15.
If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then
\({ R }_{ 1 }^{ 2 }+{ R }_{ 2 }^{ 2 }={ R }^{ 2 }\)
R1 + R2 < R
R1 + R2 = R
\({ R }_{ 1 }^{ 2 }+{ R }_{ 2 }^{ 2 }={ <R }^{ 2 }\)
16.
If the difference between the circumference and the radius of a circle is 37 cm,If the difference between the circumference and the radius of a circle is 37 cm, then using \(\pi =\frac { 22 }{ 7 } \)the circumference (in cm) of the circle is:
44
154
14
7
17.
In the figure, OACB represents a Quadrant of a circle of radius 3.5 cm with centre O. The area of the shaded region is
9.625 sq. cm
8.675 sq. cm
5.5 sq. cm
6.125 sq. cm
18.
The shaded part of the circle in the given figure represents a
Segment
semi-circle
Sector
Chord
19.
The minute hand of a clock is 10 cm long. The area of the face of the clock described by the minute hand between 8 A.M and 8.25 A.M is
100 cm2
125.5 cm2
120 cm2
130.95 cm2
20.
The length of a minute hand of a wall clock is 7 cm. What is the area swept by it is 30 minutes?
2.308
3.608
-3.208
3.208
21.
The angle of the major sector and the corresponding minor sector of a circle are
supplementary angles
complementary angles
conjugate angles
Reflex angles
22.
The perimeter (in cm) of a square circumscribing a circle of radius a cm, is
4 a
8 a
16 a
2 a
23.
If C is the circumference of a circle of radius r, then perimeter of one of the quadrants will be
\(\frac { C }{ 2 } \)
\(\frac { C }{ 4 } +r\)
\(\frac { C }{ 4 } \)
\(\frac { C }{ 4 } +2r\)
24.
A momento is made as shown in the figure. Its base shade is to be silver plated from the front at the rate of 20 per cm2. what is the total coast of silver plating?
230
260
240
250
25.
If the circumference of a circle increases from 2π to 4π then its area is
Tripled
Doubled
Four times
Halved
26.
A circular disc of radius 6 cm is divided into three sectors with central angles 90o, 120o and 150o. The ratio of the areas of the three sectors is
4: 5: 6
1: 5: 6
3: 4: 5
2: 3: 4
27.
The diameter of a cycle wheel is 28 cm. The number of revolutions it makes in moving 13.2 km is
1500
15000
500
8000
28.
The area and circumference of a circle are numerically equal. What is the diameter of the circle?
4 units
20 units
2 units
40 units
29.
The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 40 cm and 9 cm is:
62 cm
49 cm
41 cm
82 cm
30.
The perimeter of the given figure is
132 cm
42 cm
45 cm
150 cm
31.
A square ABCD is inscribed in a circle of 10 units. The area of the circle not included in the square is
100 sq. units
250 sq. units
114 sq. units
112 sq. units
32.
The area of a quadrant of a circle whose circumference is 22 cm is:
71/8 cm2
77/8 cm2
75/8 cm2
73/8 cm2
33.
What is the area of the square inscribed in a circle with a circumference of 18.84 cm?
20 cm2
15 cm2
16 cm2
18 cm2
34.
A garden roller has a circumference of 4 m. The number of revolutions it makes in moving 40 metres are:
10
12
8
16
35.
The area swept by the minute hand of a circular clock in 5 minutes forms a
Circle
Segment
Cone
Sector
36.
A wire is bent in the form of a circle of radius 28 cm. It is rebent to form a square. The length of the side of the square will be
30 cm
88 cm
44 cm
40 cm
37.
We have a circle with centre O and two radii OA and OB. If the perimeter of minor sector OAB is 55 cm, and the radius of the circle is 7cm, the value of ∠AOB is
450o
45o
180o
110o
38.
In the given figure, ABCPA is a quadrant of a circle of radius 14cm. With AC as diameter, a semi-circle is drawn. Then the area of the shaded region will be
72 cm2
98 cm2
102 cm2
35 cm2
39.
The radius of a circle if its perimeter and area are numerically equal is
2 units
8 units
5 units
4 units
40.
ABCD is a square of side 10 cm. The area of the shaded region will be
80 cm2
57 cm2
75 cm2
60 cm2
41.
The sum of the diameters of two circles is 280 cm and the difference of their circumferences is 88 cm. Then the larger of the two radii is
63 cm
44 cm
77 cm
cannot be determined
42.
What is the area of a regular hexagon inscribed in a circle of radius r units?
\(\frac { 2 }{ \sqrt { 3 } } { r }^{ 2 }\)sq. units
\(\frac { 3\sqrt { 3 } }{ 2 } { r }^{ 2 }\)sq. units
\(2\sqrt { 3 } \quad { r }^{ 2 }\)sq. units
\(\frac { \sqrt { 3 } }{ 2 } { r }^{ 2 }\)sq. units
43.
From a circular sheet of paper with a radius 20 cm, four circles of radius 5 cm each are cut out. What is the ratio of the uncut to the cut portion?
4:3
3:1
1:3
4:1
44.
A pendulum swings through an angle of 300 and describes an arc 8.8cm in length. The length of the pendulum is
17 cm
8.8 cm
15.8 cm
16.8 cm
45.
Find the circumference of the circle, whose area is 144 cm2
46 πcm
24 πcm
72 πcm
12 πcm
46.
The inner circumference of a circular track is 440m, and the track is 14m wide. The cost of levelling the track at 25 paise/m2 will be
Rs. 1250
Rs. 1694
Rs. 1684
Rs. 1400
47.
The area of a sector of a circle of radius 5 cm is 5 cm2. The angle contained by the sector will be
90°
45°
72°
60°
48.
The ratio of radii of two circles is in the ratio of 1:5. Calculate the ratio of their perimeters
1:8
1:2
1:6
1:5
49.
If the area of a circle is equal to sum of the areas of two circles of diameters 10 cm and 24 cm, then the diameter of the larger circle (in cm) is
34
17
26
14
50.
If the perimeter and area of a circle are numerically equal, then the radius of the circle is
2 units
7 units
4 units
π units
1.
(a)
50 m
2.
(c)
1:6
3.
(a)
120°
4.
(c)
36 cm
5.
(a)
33π cm2
6.
(c)
14 cm
7.
(c)
Rs. 2112
8.
(c)
\(\sqrt { 3 } :4\pi \)
9.
(d)
\(\pi \left( { r }_{ 2 }^{ 2 }+{ r }_{ 1 }^{ 2 } \right) \)
10.
(d)
28 cm
11.
(d)
48.375 cm sq
12.
(d)
190.14 km2
13.
(d)
3.14
14.
(b)
4π m2
15.
(a)
\({ R }_{ 1 }^{ 2 }+{ R }_{ 2 }^{ 2 }={ R }^{ 2 }\)
16.
(a)
44
17.
(d)
6.125 sq. cm
18.
(a)
Segment
19.
(d)
130.95 cm2
20.
(d)
3.208
21.
(c)
conjugate angles
22.
(b)
8 a
23.
(d)
\(\frac { C }{ 4 } +2r\)
24.
(a)
230
25.
(c)
Four times
26.
(c)
3: 4: 5
27.
(b)
15000
28.
(a)
4 units
29.
(d)
82 cm
30.
(a)
132 cm
31.
(c)
114 sq. units
32.
(b)
77/8 cm2
33.
(d)
18 cm2
34.
(a)
10
35.
(d)
Sector
36.
(c)
44 cm
37.
(a)
450o
38.
39.
(a)
2 units
40.
(b)
57 cm2
41.
(c)
77 cm
42.
(b)
\(\frac { 3\sqrt { 3 } }{ 2 } { r }^{ 2 }\)sq. units
43.
(b)
3:1
44.
(d)
16.8 cm
45.
(b)
24 πcm
46.
(b)
Rs. 1694
47.
(c)
72°
48.
(d)
1:5
49.
(c)
26
50.
(b)
7 units
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