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CSBE Sample papers, Question, papers, Notes For Class 6 to 12

940121 - B2

Class - IX

MATHEMATICS

Time : 3 to 3? hours

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Maximum Marks : 80

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Total No. of Pages : 12

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General Instructions :

1.

All questions are compulsory.

2.

The question paper consists of 34 questions divided into four sections A, B, C and D.

Section - A comprises of 10 questions of 1 mark each, Section - B comprises of 8 questions of

2 marks each, Section - C comprises of 10 questions of 3 marks each and Section - D comprises

of 6 questions of 4 marks each.

3.

Question numbers 1 to 10 in Section - A are multiple choice questions where you are to select

one correct option out of the given four.

4.

There is no overall choice. However, internal choice has been provided in 1 question of two

marks, 3 questions of three marks each and 2 questions of four marks each. You have to

attempt only one of the alternatives in all such questions.

5.

Use of calculator is not permitted.

6.

An additional 15 minutes time has been allotted to read this question paper only.

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1

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SECTION - ?A?

Question numbers 1 to 10 carry 1 mark each.

1.

The coefficient of x2 in (3x1x3)

(A)

2.

3.

6.

1

(C)

4

(D)

2

(D)

2

Degree of which of the following polynomial is zero ?

x

(B)

15

(C)

y

(D)

x

(B)

508

(C)

308

(D)

1058

(D)

708

1

x

In figure 1, ? PQR is :

(A)

5.

(B)

1 ??

? is :

x ??

What is remainder when x322x21x11 is divided by (x21) ?

(A) 0

(B) 21

(C) 1

(A)

4.

3

?

?? x 

??

408

A triangle can have :

(A) Two right angles

(C) All angles more than 608

(B)

(D)

Two obtuse angles

Two acute angles

In figure 2, value of x is :

(A)

508

940121 - B2

(B)

408

(C)

608

2

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CSBE Sample papers, Question, papers, Notes For Class 6 to 12

7.

If length of the largest side of a triangle is 12 cm then other two sides of triangle can be :

(A) 4.8 cm, 8.2 cm (B) 3.2 cm, 7.8 cm (C) 6.4 cm, 2.8 cm (D) 7.6 cm, 3.4 cm

8.

In DABC, if AB > BC then :

(A) ? C < ? A

(B) ? C5 ? A

(C)

?C > ?A

(D)

? A5 ? B

9.

An exterior angle of a triangle is 808 and the interior opposite angles are in the ratio 1 : 3.

Measure of each interior opposite angle is :

(A) 308, 908

(B) 408, 1208

(C) 208, 608

(D) 308, 608

10.

Simplified value of 25 3  5 3 is :

(A) 25

(B) 3

1

1

(C)

1

(D)

5

SECTION - ?B?

11.

Question numbers 11 to 18 carry 2 marks each.

In a DABC, if AB5AC, ? A51008 then find ? B and ? C.

12.

In figure 3, find the value of ? QRP when QP??TR.

13.

In figure 4, if DABC and DABD are equilateral then find the co?ordinates of points C and D.

940121 - B2

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14.

Factorize : (12x227x11).

15.

? x b ?c

? ?

Show that b (a  c)  ?? a ??  1 .

x

?? x ??

16.

?

If x  2  3 , then find the value of ???x 

?

x a (b  c)

1 ??3

? .

x ??

OR

Find the simplified value of

1

1



.

52 3

52 3

17.

If the angles of a triangle are in the ratio 1 : 2 : 3 then find the measure of angles.

18.

Prove that each angle of an equilateral angle is 608.

SECTION - ?C?

Question numbers 19 to 28 carry 3 marks each.

19.

Show that

1



1 2

1

 1  3 .

2 3

OR

If

20.

2 1

 a  b 3 then find the value of a and b.

2 1

Using suitable identity evaluate (232)31(18)31(14)3.

OR

Simplify : (a1b1c)21(a2b1c)21(a1b2c)2.

21.

In DABC, ? B5358, ? C5658 and bisector of ? A meets BC at a point D. Find ? ADB and

? ADC.

940121 - B2

4

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22.

In figure 5, prove that l ?? m.

OR

In figure 6, prove that AB??EF.

23.

1

2

If x  5  2 6 then find the value of x  2 .

x

24.

If a21b21c2530 and a1b1c510 then find the value of ab1bc1ca.

25.

Factorize : 64a3227b32144a2b1108ab2.

26.

The sides of a triangle are in the ratio 3 : 5 : 7 and it?s perimeter is 300 m. Find its area.

27.

Plot the points A (6, 6), B (4, 4), C (21, 21) in the cartesian plane and show that the points

are collinear.

28.

Prove that if two lines intersect, the vertically opposite angles are equal.

940121 - B2

5

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