Mathematics - Paper

MODEL PAPER - 2
1
CONTINUOUS & COMPREHENSIVE EVALUATION
SUMMATIVE ASSESSMENT
MODEL PAPER - 2
MATHEMATICS - PAPER - II
X CLASS
Max Marks : 40]
[Time : 2 : 45 hrs
SECTION - I
Note : 1.
2.
7×1=7M
Answer all the following questions.
Each question carries one mark
.
d
1.
The area of two similar triangles ABC, DEF are 64 cm2 and 81 cm2 respectively. If EF = 9 cm then
find BC.
2.
From a point Q the length of the tangent to a circle is 24 cm, and the distance of Q from the centre is 25
cm, then show that radius of circle is equal to 7 cm.
3.
Two cubes each of volume 27 cm3 are joined and to end together. Find the surface area of the resulting
cuboid.
4.
If sec A =
5.
Draw diagram for the given data. “ A person is flying a kite at an angle of elevation  and the length of
thread from his hand to kite is ‘x’.
6.
Find the probability of getting a number 7, while using a die with sides marked as 1, 2, 3, 4, 5, 6.
7.
What is the most frequently used measure of centrad tendency why?
a
b
a
r
e
d
y
H
5
then find cos A.
4
,
B
E
C
D
SECTION - II
Note : 1.
Answer the following questions.
2.
Each question carries two mark
6 × 2 = 12 M
8.
Can we constant a triangle with length of sides, 5 cm, 3 cm and 11 cm. Explain with reason.
9.
Express sin 80° + tan 80° tan 80° in terms of trigonometric ratios of angles between 0° and 45°.
10.
Two poles of heights 6m and 11 m stand on a plane ground. If the distance between the feet of the poles
is 12 cm. Find the distance between their tops.
11.
Write the formula for mode in a ground data, and explain the retten in it.
12.
Prove that length of the tangents drawn from an external point of a circle are equal.
13.
Find the probability of getting a head when a coin is tossed once. Also find the probability of getting a
tail.
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MATHEMATICS - PAPER - II
2
SECTION - III
Note : 1.
2.
14.
4 × 4 = 16 M
Internal choice is given in each question.
Each question carries four mark
(a) Construct a triangle of 4 cm, 5 cm and 6 cm. Then construct a triangle similar to it, whose sides are
3
of the corresponding sides of the first triangle.
4
(OR)
(b) Draw a circle and two parallel lines to a given line such that one is tangent and the other a secant
to the circle.
15.
(a) Metallic spheres of radius 6 cm, 8 cm, and 10 cm respectively are melted to from a single solid
sphere. Find the radius of the resulting sphere.
(OR)
(b) Show that
16.
1  sin 8
cos8

 2sec8
cos8
1  sin 8
a
b
a
r
e
d
y
H
.
d
(a) Two men on either side of a temple of 30 m height observe its top at the angle of elevation 30° and
60° respectively. Find the distance between the two men.
(OR)
(b) A bag contains 3 red balls and 5 blank balls, A ball is drawn at random from the bag. What is the
probability, that the ball drawn is (i) red? (ii) not red?
17.
(a) (i)
(ii)
What will be taken on x-axis while drawing less than ogive curve.
,
B
E
C
D
What will be taken on y-axis while drawing more than ogive curve
(iii) What will be taken on y-axis while drawing more than ogive curve.
(iv) What show be ensured about class iternals before drawing ogive curve.
(OR)
(b) A cylinder and cone have base of equal radii and are of equal heights. Show that their volume are
in the ratio of 3 : 1.
SECTION - IV
Note : 1.
2.
18.
Each question carries
1
2
2
=5M
mark.
In an issueless triangle PQR, PR = QR and PQ2 = 2PR2 then R =
(b) 30°
(c) 40°
(b) 2
(c) 3
Mid values are used in calculaing
(a) Mode
(b) Median
(c) Mean
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(
)
(
)
(
)
(d) 50°
The number of parallel tangents to a circle with a given tangent is
(a) 1
20.
1
Choose the correct answer.
(a) 90°
19.
10 ×
(d) 4
(d) Both Mean, mode
MODEL PAPER - 2
21.
Medien of 17, 31, 12, 27, 15, 19 and 22 is
(a) 16
22.
(b) 20
(d) 80°
(
(c) 2
(b) 45°
(c) 60°
a
b
a
r
e
d
y
H
1
(c)
6
2
(d)
3
.
d
The horizontal cross section of a cylinder is
(b) Circle
(c) Square
,
B
E
C
D
2 3
d
3
(b)
1 3
d
6
(c)
4 3
d
3
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(
)
(
)
(
)
(d) Triangle
If d is the diameter of a sphere, then its volume is
(a)
)
(d) 90°
In a single throw of a die, the probability of getting a multiple of 2 is
1
(b)
3
)
(d) – 1
The length of the shadow of a lower is equal to its height. Then the angle of election of the sun is
(
(a) Rectangle
27.
(c) 70°
(b) 0
1
(a)
2
26.
)
(d) None
Sec2 8 – tan2 8
(a) 30°
25.
(c) 19
(b) 60°
(a) 1
24.
(
It tangents PA and PB from a point P to a circle with centre 0 are inelined to each other at an angle of
80° then POA is equal to
(
)
(a) 50°
23.
3
(d)
1 3
d
2