MODEL PAPER - 2
1
CONTINUOUS & COMPREHENSIVE EVALUATION
SUMMATIVE ASSESSMENT
MODEL PAPER - 2
MATHEMATICS - PAPER - I
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.
Which numbers are used to finding the length of diagonal of a square whose sides are given?
2.
Write the set-builder form of A  B
3.
Rama says that
4.
If the equations 2x + py = – 5 and 3x + 3y = – 6 have require solutions then find the value of P.
a
b
a
r
e
d
y
H
1
is not a polynomial. Do you agree with Rama’s argument state the reason?
x 1
Explain nature of roots of fifteens.
5.
,
B
E
C
D
6.
Which term in the A.P 5, 2, – 1 , ... is –22?
7.
Draw the graph of equation 3x + 2y – 5 = 0 - by using this graph. Find the value of x, when y = 7
Note : 1.
2.
SECTION - II
6 × 2 = 12 M
Answer the following questions.
Each question carries two mark
8.
The different of two irrational numbers may or may not be irrational. Explain
9.
If Kn(x – 2) + 6 = 0 has equal roots, find K.
10.
If the numerator of a traction is decreased by 1 its value becomes
by 5 its value becomes
2
, but if the denominator is increase
3
1
. What is the fraction.
2
11.
It is possible to design a rectangular mango grove whose length is twice its breadth, and the area is 200
m2? If so find its length and breadth.
12.
Find the value of is, So that  , y, 
13.
A (3,6), B(3, 2) and C(8, 2) are the vertices of a rectangle. Plot these points on graph paper and then
use it to find the coordinates of the vertex D.
2
7
7
are three consecutive terms of a G.P?
2
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MATHEMATICS - PAPER - I
2
SECTION - III
Note : 1.
Internal choice is given in each question.
2.
14.
4 × 4 = 16 M
Each question carries four mark
(a) (i)
(ii)
If log10(x+5) = 1 then find the value of x
A = {all composite numbers less than 20}
B = {all whole numbers less than 10}
Diagram of (i) A  B (ii) A  B (iii) A – B (iv) B – A
(OR)
(b) Prove that
15.
1
5

is a irrational number..
2 3
(a) Draw the graph of y = x2 – x – 12 and find its zeroes justify the answer.
a
b
a
r
e
d
y
H
(OR)
.
d
(b) Find the zero of the quadratic polynomial x2 – 4x + 3, and verify the relationship between the
zeroes and the coefficients.
16.
(a) Verify that 1, – 1 and –3 are then zeroes of cubic polynomial x3 + 3x2 – x – 3 and cheek the
relationship between zeroes and coefficient.
(OR)
(b) Solve the following pair of equations.
,
B
E
C
D
a 2 b2
a 2 b b2a

0,

 a  b , x  0, y  0
x
y
x
y
17.
(a) The points (P, 2), (–3, 4) and (–7, 1) are collinear then find the value of P.
(OR)
(b) The length of a hall exceeds its breadth by 8 m and its area is 180 m2. Find the dimensions of the
hall.
SECTION - IV
10 × 1 2 = 5 M
Note : 1.
Choose the correct answer.
2.
18.
If
3
Each question carries
mark.
1
(b) 21/6
(c) 21/2
(d) 21/5
The pair of linear equations 3x + 2y = 5, 4x – 3y = 7 have
(a) are solution
20.
2
2  (x) 2 , what is the value of x
(a) 22/3
19.
1
(b) Two solutions
(c) many solutions
(b) 4
(c) 6
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)
(
)
(d) No solution
How many prime factor are there in prime fraction of 5005?
(a) 2
(
(d) 7
MODEL PAPER - 2
3
A
21.
In the adjacent figure x = __________
(a) 9
22.
23.
25.
(a) empty
(c) singletor
(b) infinite
B
(5, – 4)
(c) –3
(a) x-axis
(d) None
(c) (0, 0)
(c) Real not equal
(a) 3
(b) 4
,
B
E
C
D
)
a
b
a
r
e
d
y
H
(c) Cayley
(
)
(
)
(d) None
3 4
x + 8x3y2 is _________
4
(c) 2
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.
d
(d) None
Co-ordinate geometry was introduced in _________
The degree of the polynomial 10xy3 + y4 +
(
)
The natures of roots of 2x2 – 2x + 3 = 0 is
(b) Johnen
)
(d) 2
(
(b) Real and equal
(
(d) none
(3, 0), (8, 0), (1/2, 0) ........ points lies on _________
(b) y-axis
)
)
The common ratio of series 3, – 6, 12, – 24, 48 is _________
(b) – 1/2
(
(d) 3
(
(a) Rene-desecrate
27.
(c) –5
{x/x  x} is a ________ set
(a) Complex
26.
(x, y)
(b) 1
(a) – 2
24.
(0,0)
(d) 5