Class 10 Cbse Maths Question Paper Term 1 2011

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Class 10 Cbse Maths Question Paper Term 1 2011

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Cbse Class 10 Maths Question Paper Term 1 2011 http://cbse.edurite.com/cbse-maths/maths-cbse-class10.html

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Class 10 Cbse Science Sample

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Mathematics Question Bank

Maths Previous Years Question

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SUMMATIVE ASSESSMENT –I (2011)

560

I MATHEMATICS / Class – X /

X

Time allowed : 3 hours

Maximum Ma

fu/kkZfjr le; % 3 ?k.Vs General Instructions: (i) (ii)

(iii) (iv)

(v)

All questions are compulsory. The question paper consists of 34 questions divided into four sections A,B Section A comprises of 10 questions of 1 mark each, section B comp questions of 2 marks each, section C comprises of 10 questions of 3 mark section D comprises 6 questions of 4 marks each. Question numbers 1 to 10 in section A are multiple choice questions whe to select one correct option out of the given four. There is no overall choice. However, internal choice have been prov question of two marks, 3 questions of three marks each and 2 questio marks each. You have to attempt only one of the alternatives in all such qu Use of calculator is not permitted.

Master your semester with Scribd & The(i)New Times lHkhYork iz”u ”u vfuok;Z gS gSAa Special offer for students: Only $4.99/month.

(ii)

Read Free Foron 30this Days Sign up to vote title

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Useful

 

bl iz”u i= es a 34 34 iz”u gS a, ftUgs a pkj pkj [k.Mksa v, c, l rFkk n esa ckaVk Vk x;k gSA [k.M & v

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Master your semester with Scribd & The New York Times Special offer for students: Only $4.99/month.

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The decimal expansion of  is : (A) terminating (B)

non-terminating and non-recurring

(C)

non-terminating and recurring

(D) doesn’t exist

 (A) (B) (C) (D)

2.

If (x1) is a factor of 2x 2x3ax22bx 2bx1, then find the values of a and b given t 2a3b4. (x1)

3.

2x3ax22bx 2bx1

a

b

In the given figure, value of x (in cm) is :

(A) 4 Master your semester(B)with5 Scribd & The New York Times Special offer for students: Only $4.99/month.

(C)

6

(D)

8


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If sin   cos , then value of  is : 0

(A)

sin   cos  0

(A)

5.


(B)

45

(C)

30

(D)

90

45

(C)

30

(D)

90

 (B)

If 3 cos2sin, then the value of

(A)

1 8

3 cos2 sin

(A)

1 8

(B)

1 3

4 sin 3 cos  2 sin   6cos 

(C)

is : 1 2

(D)

1 4

4 sin 3 cos  2 sin   6cos 

(B)

1 3

(C)

Master your semester with Scribd 6. If cos (40A)sin 30, the value of A is : & The New York Times Special offer for students: (A) 30Only  $4.99/month.(B)

40

1 2

(D)

1 4


(C)

 60


Useful

(D)

20

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(A)

8.

125 441

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(B)

77 210



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(C)

15 1600

(D)

129 2

2

2

5

The pair of linear equations 2x 2 x3y1 and 3x 3x2y4 have : (A) One solution

(B)

Two solutions

(C)

(D)

Many solutions

No solution 2x3y1

9.


3x2y4

(A)

(B)

(C)

(D)

If coseccot (A)

1

1 3

(B)

coseccot (A)

, the value of (coseccot) is :

1

2 1 3

(C)

3

(D)

4

3

(D)

4

(coseccot) (B)

2

(C)

10. The mean of the following data is :

45, 35, 20, 30, 15, 25, 40 (A)

15

(B)

25

(C)

Master your semester with Scribd & The New York Times 45, 35, 20, 30, 15, 25, 40

35

15

(B)

25

30


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(A)

(D)

(C)

35


Useful

(D)

30

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and b. 2

3

x2(a1) xb,

a

b

13. Solve : 99x 99x101 101yy499

101xx99y 101 99y501 99x 99x101 101yy499 101xx99y 101 99y501

14.

2

Evaluate : 2

2

2

2

tan 60  4sin 45  3sec 30  5cos 90  2

cosec30  sec60  cot 30  2

2

2

tan 60  4sin 45  3sec 30   5cos 90  2

cosec30  sec60  cot 30

OR /

Without using trigonometric tables prove that : tan 1 tan 11 tan 21 tan 69 tan 79 tan 891

tan 1 tan 11 tan 21 tan 69 tan 79 tan 891

Master your semester with Scribd  Read Free For 30this 15. If one diagonal of a trapezium trapezium divides the other diagonal diagon al up in the ratio 1Days : title 3. Provethat o Sign to vote on & The New York parallel sidesTimes is three times the other.  Useful  Not useful Cancel anytime.

Special offer for students: Only $4.99/month.

1:3

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Daily income (in Rs.)

1

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100120

120140

140160

160180

13

15

9

7

No. of workers

180

1

55

18.

100 - 120

120 – 140

140 - 160

160 - 180

13

15

9

7

Find the mode of the following data Class

5060

6070

7080

8090

9

12

20

11

5060

6070

7080

8090

9

12

20

11

Frequency

Section-C Master your semester with Scribd Read Free Foron 30this Days Sign up to vote title Questions & The New Yorknumbers Times19 to 28 carry three marks each.  Useful  Not useful Special offer for students: Only $4.99/month.

19.

180

90

90

1

 

Cancel anytime.

Show that any positive odd integer is of the form 4q1 or 4q3 where q is a positive

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Prove that

2 3 5

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is irrational.

2

3 5

21.

The sum of the numerator numerator and denominator denominator of a fraction is 12. If 1 is added to both the numerator and the denominator the fraction becomes

3 4

. Find the fraction. fraction.

12

1

OR /

4 men and 6 boys can finish a piece of work in 5 days while 3 men and 4 boys can fini days. Find the time taken by 1 man man alone or that by 1 boy alone. alone. 4

6

5

7

3

1

4

1

22. Find the zeroes of the quadratic polynomial

25 x 6

x

and verify the relationship between t

and the coefficients. 25 x 6

x

Master your semester with Scribd & The23.New York Times 1 1 If sin (AB)

and cos (AB)

Special offer for students: Only $4.99/month. 2

2


 Useful anytime.  Not useful , 0<(AB)90, A>B,Cancel find A and B.

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25.

In figure ABPQCD, ABx units, CDy units and PQz units, prove that, 1



1



y

x

1

z

ABPQCD , ABx 1

x



1

y



,CDy

PQz

:

1

z

26. your Equilateral triangles APB, BQC and ASC are described on each side of a right-angled Master semester with Scribd  Read Free Foron 30this Days Sign up to vote title  triangle ABC, right angled angled at B. Then prove that ar( ar(APB)ar(BQC)ar(ASC). & The New York Times  Useful  Not useful Special offer for students: Only $4.99/month. ABC

Cancel anytime.

B

APB, BQC

ASC

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31

p

5 – 15

15 – 25

25 – 35

35 – 45

45 – 55

3

p

15

11

6

f

OR /

Calculate the mean marks of the following data using the step deviation method : Marks

2535

3545

4555

5565

6

10

8

12

2535

3545

4555

5565

6

10

8

12

No. of students

65

65

28. The median of the distribution given below is 14.4. Find the values of x and y, If th frequency is 20.

14.4

x

y


20 Read Free Foron 30this Days Sign up to vote title

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30. If two scalene triangles are equiangular, prove that the ratio of the corresponding sides same as the ratio of the corresponding angle bisector segments.

OR /

In an equilateral triangle ABC, D is a point on side BC such that 4BDBC. Prove that 16AD213BC2. ABC

BC

4BDBC.

D

16AD213BC2.

31.

If tansinm and tansinn, show that m2n24 tansinm

tansinn,

mn

m2n24

mn

OR /

Prove that

1cos 



1cos 

1cos 

1cos 

 2cosec 

1cos 



1cos 

1cos 

 2cosec 

1cos 

Master semester Scribd 32. your Determine the value ofwith x such that & The New York Times 3 2 2 2 2 cosec Only 30 x sin 60  Special offer for students: $4.99/month.

4

tan 30  10


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

(i) (ii)

34.

y

Draw a less than type ogive of the following distribution : Marks No. of students

010

1020

2030

3040

4050

5060

5

4

8

10

15

18

010

1020

2030

3040

4050

5060

5

4

8

10

15

18

Find median from graph.



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Class 10 Cbse Maths Question Paper Term 1 2011

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