West Bengal Board of Secondary Education, Nivedita Bhaban, DJ-8, Sec : II, Karunamoyee,

WBBSE Model Structure of Question Paper, MP (SE) 2017. 1

2017

MATHEMATICS

( First 15 minutes for reading the question papers only )

Full Marks - 90 - (For Regular Candidates) Full Marks - (100 - For External Candidates)

1. 1���� 6 = 6

i) 5

a) 4% b) 5% c) 10% d) 25%

ii) 3 + 2 = x 3 - 2

a) b) c) d) 1

iii) O AB C

OAC = 45 OCB

a) 90 b) 45 c) 30 d) 60

iv) sin 2����� ��

a) 30 b) 60 c) 45 d) 15

v) 36

a) 27 b) 36 c) 9 d) 54

vi) 1-10, 11-20, 21-30, 31-40, 41-50

a) 9 b) 9.5 c) 5.5 d) 10

2. 1���� 5 = 5

i) 2r % 2P 2 ���� ( 1��2

ii) 2A = 3B= 4C A: B:C = 6: 4: ___

iii)

iv) sec2����� tan2�� ___

v) ___

vi) 2, 3, 4, 5 ___

2

x

x

2

1

x

1

2

1.i.a) 4%

1.ii.c)1

x

11 5

[ 16 ) 5 ]

2r

100

Time -- 3 Hours 15 Minutes

1

5

West Bengal Board of Secondary Education, Nivedita Bhaban, DJ-8, Sec : II, Karunamoyee,

Salt Lake, Kolkata : 700091

WBBSE Model Structure of Question Paper, MP (SE) 2017. 2

3. 1���� 5 = 5

i) 100 10% 2

81

ii) x ��y xn ��yn

iii)

iv) sin2 5�����cos2 5� 5

v) V A

vi) 4, 6, 4, 5, 4, 7, 4, 8, 5, 9, 5, 7 4.

4. 2���� 10 = 20

i) 4:7:9 100

ii) 6 %

iii) 3 - 2

iv) 5x2 - 3x + 6 = 0 �� �� +

v) 20 8

vi) O PQ PR Q S

QSR = 70 QPR

vii) ABC BC AB AC P Q

AQ = 2AP PB:QC

viii) 67

ix) sec 3����cosec 2�� 3� �

x)

xi) 4 3

xii) u i = , �f

i u

i = 30 �f

i = 60 x

3V

A

1

4

1

1

�

1

�

x i -35

10

West Bengal Board of Secondary Education, Nivedita Bhaban, DJ-8, Sec : II, Karunamoyee,

Salt Lake, Kolkata : 700091

WBBSE Model Structure of Question Paper, MP (SE) 2017. 3

5. 5

i) 5% 40000 3

ii) 3750 6 15000

6900

6. 3

i) x 0, -1

ii) 200 5

2

7. 3

i) x= y = (x2 - xy +y2)

ii) x � y y � z x2 + y2 +z2 �� xy + yz +zx

8. 3

i) a, b, c, d

b2 + d2 b2 - d2 = ab - cd

ii) a + b + c 0 a = b = c

9. 5

i)

ii)

10. 3

i) O QR Q P

QM QPR = 2 RQM.

i) ABC BAC CD BC2=CD2 +3AD2

11. 5

i) ABC BC = 7 AB=5 AC = 6

21

12

x

x+1� =

x+1

x=

3 + 2

3 - 2

==a+b-c

a+b

b+c-a

b+c=

c+a-b

c+a

3 - 2

3 + 2

West Bengal Board of Secondary Education, Nivedita Bhaban, DJ-8, Sec : II, Karunamoyee,

Salt Lake, Kolkata : 700091

WBBSE Model Structure of Question Paper, MP (SE) 2017. 4

ii) 4 3

12. 3���� 2 = 6

i) tan���� (sin��cos�

ii) 3tan2 45o - sin2 60o - cos2 30o - sec2 45o

iii) sin53o = cot 37o

13. 5

i) 11

30o 60o

ii) 45o 60o 3

14. 4���� 2 = 8

i) 4:3:2 468

ii) 3.2 21

8

iii) 7 147.84

15. 4���� 2 = 8

i)

ii)

iii)

4

3 1

3

1

8x

x2 + y2

10 16 20 30 13 11

2 6 10 16 22 11

30 - 35

8 5

35 - 40

2 3 6 7 5 4

31 - 35

3

West Bengal Board of Secondary Education, Nivedita Bhaban, DJ-8, Sec : II, Karunamoyee,

Salt Lake, Kolkata : 700091

WBBSE Model Structure of Question Paper, MP (SE) 2017. 5

[ ]

11. 5

i)

ii)

[ ]

16.a 2 + 2 + 2

(i) 10% 6000 2

(ii) a b ( a + b ) ( a - b )

(iii) cos 600 + sin 300 + tan 450 + sin 900

(iv) PQRS PQ PRS = 400

QPS

16.b 1+ 1 + 1 +1

(i)

(ii) 2 : 3;

2000

(iii) r

h

(iv) x : yz, y : zx, z : xy

(v) 3, 1, 2, 5, 3

� �

6