tions and

^ 3?Lr

•marks

d4

a ^r^^rt

i00%0(30)

10(5)

0(10)

0(5)

)(10)

^stions)larksota!

^f questions.

^arried by the concerned que$

f^refff^cT 3fcJ5f c)5t ^^Tf^

I

80(30)

11(4)

10(3)

12(4)

15(6)

6(2)

20(8)

06(3)

G.Total

-

4(2)7(2)6(1)

4(2)6(1)3(1)

3(2)3(1)3(2)9(3)

3(1)

3d)4(2)7(2)

6(2)3(2)

06(3)

Total

30(5)

-1*I*

-I*-

---1

-

--

1*

--

-(6 Marks)

LA

OR questions*(ii) *3rejciT ^^^r

figures within brackets indicate the number <Figures outside brackets indicate the marks (

^? ^^ 3Tcf5 ^T?^ft c fcTT2

30(10)

I--

1*-1

-1*--

1*

11*-

2-

1*(3 Marks)

SA-II

10(5)

---

---

1-11

-

---

-1

1(2 Marks)

SA-I

10(10)

11-

1--

1-11

-

-11

-1

1(1 Mark)

VSAType of Questions

Blue PrintI

5 questions of 3 marks ai

3Tc?5f cTTcrt

(C

05%04

-

I

-

1

(E)Evaluation

^^JTT 3fftT 6

17%14

2

-

1

-

(HOTS)Skills

ThinkingHigh Order

Mathematics (Theory^

Note: (i) dbt^ic^ c^^ st^Marks

80

040706

040603

03030309

03

030407

0603

06

Weightage

Total

ProbabilityStatistics

Surface areas and volumesand segment of a circle)circles. Areas of sector(Perimeter and area of

Areas Related to circlesHei^hts and Distances

Trigonometric IdentitiesTrigonometry

Introduction ofConstructions

CirclesTriangles

Area of triangleSection Formula/

Distance FormulaArithmetic Progressions

Quadratic Equationstwo variables

Pair of Linear Equations inPolynomials

Real Numbers

Content Sub units

(11 Marks)Probability

&Statistics

(10 Marks)Mensuration

(12 Marks)metry

Trigono

(15 Marks)Geometry

(06 Marks)Geometry

Co-ordinate

(20 Marks)Algebra

(06 Marks)SvstemNumber

Units

units

VII

VI

V

IV

III

II

I

N.Unit

Weight of content Units and Sub]

questions of 6 marks.

An internal choice will be provided in^TI

5 ^r^^f ^ ^fercrr' ^

24%19

1

4

-

1

(A)Application

29%23

1

3

3

2

(U)Understanding

Design of Question PaperMathematics (Theory)

CLASS- N

^ f3fejcrf :̂

Note: 3 3fci5t cn^^

25%20

1

2

1

6

(R)(Knowledge)

Remembering

%WeightageTotal Marks

(6 Marks)(L.A)

Long Answer(3 Marks)(S.A-IH)

Short Answer-Ill(2 Marks)(S.A-II)

Short Answer-11(1 Mark)

(VSA)Very Short Answer

Type of Questions

-

06

060606

06

Ex-14.1/14.2/14.3(^TT^^T ^TT cj^dc^^) 3T2JCTT ^TTeZTcf^

Ex-13.1/13.2/13.33T5Tcrr Ex - 13.4

ya^^ 6.1/6.6/6.8/6.9Ex-9.1 3TercTT

Ex-4.3/4.44.2/4.3/4.4 3Tercp arraT ^^^ft

R

UHH

A

30

292827

26Group - D (06 Marks)

03030303030303030303

Ex-12.2 3Tercp 12.3

Ex-15.1

EX- 11.1 3Te^cTT 11.2

Ex-7.2 3TemT 7.3

Ex-7.1

Ex - 8.4

Ex- 5.2 3T^TCIT 5.3

Ex — 3.1/3.2 (3TTe^^^" ^Rju)

Ex-3.3 ^3.6

Ex- 1.1 3TejcTT 1.3

uUERRAAAAU

25242322212019181716

Group - C (03 Marks)0202020202

Ex-10.2(^^^r 10.1/10.2)Ex-8.1/8.2

Ex-6.2 to 6.5

Ex-2.2/2.3

Ex-1.2

RHUUU

1514131211

Group - B (02 Marks)01010101010101010101

Marks

js-X]

Ex-14.4

Ex-15.1

Ex-10.1/10.2

Ex-6.1/6.2/6.3/6.4/6.5Ex-12.1

Ex-5.1

Ex-8.3

Ex-4.1

Ex-2.1

Ex-1.2/1.4

Group-A (01 marks)

RRRRAURUER

Objective

mwise AnalysisMATHEMATICS [Clas

10090807060504030201

QuestionNumber

Ouestic

the Graph

r booklet

iven

is A, B, C

mtains 5ks each

P(x) ^

For some polynomials P(x), find the number of zeroes of P(x) froofY=P(x).

, P(x)^ Y=P(x)

Express 120 as a product of its Prime factors.3f12 0

Question Numbers 1 to 10 carry 01 mark each.SECTION- A

O 1 3Tcf5 cm

-A

1 ^X 1 0 cT35

Do all rough work only on the last pages of the question-cum ans\and nowhere else.

Answers of the questions must be in the context of the instructionstherein.

"^c^ 3XcT ^

Only sketches are to be given in the answers of construction.

m&

General Instructions :

^aft y^cT 3if^iai^l ^ i

All questions are compulsory.•^^T y^1M^H ^^ 3 0 y?oT ^TF^ -^J^I A, B, C

A af 10 y^cf y<r^lcf> 1 3X35 35T, ^1US B af 5

35x, ^sm^ C ^ 10 y?^r yc^t35 3 3X35f 35r cx^xryc^35 6 3T35f 35T % I

This question paper consists of 30 questions divided into four sectand D. Section A contains 10 questions of 1 mark each, Section Bquestions of 2 marks each, Section C contains 10 questions of 3and Section D contains 5 questions of 6 marks each.

1.

1.

2-

: 80Full Marks : 80Time : 3 Hrs.

Total No. of Page:IT^ off c|f xHx5pi|| : 3 0

Total No. of Questions : 30

are 4 and 1

dent "E

Find a quadratic polynomial, the sum and product of whose zero<respectively.

1 2.

Find HCF of 26 and 91 by the prime factorization method.HCFfcrfer11. 2 6 3f^^ 91 cm 3Tano^r

SECTION- BQuestion Numbers 11 to 15 carry 02 marks each.

cm % I0 21 1 ^t 1 5

(Lower limits)U

What type of ogive is ?Y- 3f^r(axis)

What will be the addition of the probability of incident "E" and innot" ?

O.

. How many Parallel tangents can a circle have ?

Ucidl "E9.

*?cff8. T?cJ5

All Squares are - Similar/Congruent

Write the Perimeter of a semicircle of radius r.cf5T

7.

6.

5. AP : 4,10,16,22,<Write the common difference of an AP : 4,10,16,22,

Sin 18Cos 72

(Evaluate) :

x2 + 3x+l=(x-2)2Check whether x2 4- 3x + 1 = (x - 2)2 is a quadratic equation or no

4.

3.

HCF ^TRT

3D

Caft^

(Solve by Graphical Method)x-2y =0

3x + 4y = 20

1 8.

3x + 2y " 6

2x

(Solve) :

Prove that 6 +V2 is irrational.

1 7.

Use Euclid's division algorithm to find the HCF of 135 and 225.3TejcIT (OR)

Question Numbers 16 to 25 carry 03 marks each.

cf>^ i 3 5 3ft? 2251 6.

SECTION- C

0 3 3Tcf5f cJ5T % I16 ^ 25 eTc?5

^ld XJc|5 ^cT^a|v5T ABCD ^Tl^l ^T^TT %l

AB + CD = AD + BCA quadrilateral ABCD is drawn to circumscribe a circle. Prove th

1 5. cjtT cf^

3If Sin A = - then find the value of tanA.4

hmeft tanAS'mA=—4

14.

BA

OA OBOC ~ OD

ABCD is a trapezium in which AB 11 CD and its diagonals AC anintersect each other at the point o. Show that

DC

o

OA OBOC~ OD

BDA3 -

cRT T?cR

cm%n.

Oneat the

tre,

similar

, 5)^ifdd

ning the

o)^

en

ence and

r 1 6cTT

s73.

% crejT APD 3?l^: BPC eft 3ref^cT

A box contains 5 red marbles, 8 white marbles and 4 green marblmarble is taken out of the box at random. What is the probabilitymarble taken out will be (i) red ? (ii) white ? (iii) not green ?

Find the area of a quadrant of a circle whose circumference is 22* 3T2TcTT (OR)

ABCDaj^rTT 14

? (iii)(i) crier ^ ? (ii)% ii?ci5 ct>xa\

824.

Draw a circles of radius 6 cm from a point 10 cm away from its CConstruct the pair of tangents of the circle.

Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a trianto it whose sides are 2/3 of the corresponding sides of the first tri

3T2TcTT (OR)6 cmBi^xiu cj5T X3ci5 crer ^TlRiy 1 ~^^^^ ^k 10 cm

2/3

2 3. 4 cm, 5 cm 3ft^ 6 cm

(2, -4)Find the Area of the triangle whose vertices are (2, 3), (-1, 0), (2,

Find the co-ordinates of the point which divides the line segment jpoints (4, -3) and (8, 5) in the ratio 3:1 internally.

3TeTcTT (OR)

fch|3Tf (4, -3) 3ft^^3:1 ^ 31^,^ld ^Rt 3lidf>cR

f (-5, 7) cTeTT (-1 , 3) c^ cfhET cft

Find the distance between two points (-5, 7) and (-1, 3).

2 2.

21.

Cos A^ Sin= 2Sec4

(Prove that):

Find the 31st term of an A.P whose 11th term is. 38 and the 16th ten

3TercTT (OR)TJcR A.P ^ M^cll ^[^ 7 3ft^: 1 3 cff V^ 3 5 ^t eft1 3 ^^f cRT ^fpJT ^TTcr c)f3uj |

In an A.P. first term is 7 and 13th term is 35. Find the common diffsum of first 13th term.

20.

381 1cjf1 9. 3^T A.P. cRT 3 1 cff73 tl

intersect thein the same

3m longer>f the tower.

6 0 tl

id the top45 and

c^f 737*^

smaller

I1 roots

n and

oURT 1 4Cm % 33Te.^l 17lf^^d t

cb^i^ 1 3 cm tcftt

eft2 9. cftf

Prove that if a line is drawn parallel to one side of a triangle tcother two sides in distinct points, the other two sides are divide

ratio.

From a point on the ground, the angles of elevation of the bottomof a transmission towers fixed at the top of a 20m high building a60 respectively. Find the height of the tower.

3fejcTT (OR)3TcTcT oldftd tr 7*1 \ ^ftcil7 cftt ^5RTT 373 fTSjfoT

The Shadow of a tower standing on a level ground is found to bewhen the Sun's altitude is 30 than when it is 60. Find the height

cTcT

20 m

The difference of squares of two numbers is 180. The square of tlnumber is 8 time the larger number. Find the two numbers.

eft eft3TT3

3fejcrr (OR)3TcT^ 18 0 % Il3ft eft

Find the nature of roots of quadratic equation 2x2-7x+3=0. If theexists then find roots using quadratic formula.

cftt yc^feT, eftc?5T

2x2-7x+3=0 eft

Question Numbers 26 to 30 carry 06 marks each.SECTION- D

0 6 3Tcftf cJ5T26 ^t 30 cTcJ5

- D

D

2 8.

Find the area of the shaded region. If ABCD is a square of side 1APD and BPC are semicircles.A

27.

26.

185-205165-185145-165125-145

1 3

105-12585-10565-85Class

Interval

Frequency

65

al during a

55

14cm. The

of the

m

ONv cylinder,he vessel is

Find the median of the following data.

Find the mode of the data given above.3TeTcn" (OR)

1 4

45-55

23

35-45

2 1

25-35

1 1

1 5-255-1 5

Numberof patients

Age(in years)

The following table shows the ages of the patients admitted in a hos

year:

5 I

1 4

45-55

23

35-45

2 1

25-35

1 1

1 5-255-1 5

3 0.

A drinking glass is in the shape of a frustum of a cone of heigdiameters of its two circular ends are 4cm and 2cm. Find the a

22glass. (^=y)

22cjt

4cm

A vessel is in the form of a hollow hemisphere mounted by a hoiThe diameter of the hemisphere is 14cm and the total height of13cm. Find the inner surface area of the vessel.

3TercTT (OR)