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HALF YEARLY EXAMINATION 2020 CLASS IX

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.

The number 0.318564318564318564......... is:

a)

a natural number

b)

an integer

c)

a rational number

d)

an irrational number

2.

Which of the following is irrational?

a)

0.15

b)

0.01516

c)

0.1516‾0.\overline{1516}

d)

0.5015001500015...............

3.

The number

 1.27‾1.\overline{27}  in the form pq\frac{p}{q}  , where p and q are integers and q≠0q\ne0  :

a)

 149\frac{14}{9}  

b)

 1411\frac{14}{11}  

c)

 1413\frac{14}{13}  

d)

 1415\frac{14}{15}  

4.

 If (23)2=4x, then 3x=?If\ \left(2^3\right)^2=4^x,\ then\ 3^x=?  


a)

3

b)

6

c)

9

d)

27

5.

The value of {8−43÷2−2}12\left\{8^{-\frac{4}{3}}\div2^{-2}\right\}^{\frac{1}{2}}  is :

a)

 12\frac{1}{2}  

b)

 22  

c)

 14\frac{1}{4}  

d)

 44  

6.

 If x=5+35−3If\ x=\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}  and y=5−35+3y=\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}  then  x+y+xy=?x+y+xy=?  

a)

9

b)

5

c)

17

d)

7

7.

 If x+1x=5If\ x+\frac{1}{x}=5  , then x2+1x2=?x^2+\frac{1}{x^2}=?  

a)

25

b)

10

c)

23

d)

27

8.

 The value of (2.3)3−0.027(2.3)2+0.69+0.09The\ value\ of\ \frac{\left(2.3\right)^3-0.027}{\left(2.3\right)^2+0.69+0.09}  is:


a)

2

b)

3

c)

2.327

d)

2.273

9.

 If x3+6x2+4x+kIf\ x^3+6x^2+4x+k  is exactly divisible by x + 2, then k = ?

a)

-6

b)

-7

c)

-8

d)

-10

10.

Two straight lines AB and CD cut each other at O. If

 ∠BOD=63°\angle BOD=63\degree  , then ∠BOC=?\angle BOC=?  

a)

 63°63\degree  

b)

 117°117\degree  

c)

 17°17\degree  

d)

 153°153\degree  

11.

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the measure of the larger angle is :

a)

54°54\degree

b)

120°120\degree

c)

108°108\degree

d)

136°136\degree

12.

The side BC of ΔABC\Delta ABC  is produced to a point D. The bisector of ∠A\angle A  meets side BC in L. If ∠ABC=30°\angle ABC=30\degree  and  ∠ACD=115°\angle ACD=115\degree  , then  ∠ALC=?\angle ALC=?  

a)

 85°85\degree  

b)

 721°272\frac{1\degree}{2}  

c)

 145°145\degree  

d)

None of these

13.

The base BC of ΔABC\Delta ABC  is produced both ways and the measure of exterior angles formed are 94° and 126°94\degree\ and\ 126\degree  , then  ∠BAC=?\angle BAC=?  

a)

 94°94\degree  

b)

 54°54\degree  

c)

 40°40\degree  

d)

 44°44\degree  

14.

 If ΔABC≅ΔFDEIf\ \Delta ABC\cong\Delta FDE  and AB = 5 cm,  ∠B=40°\angle B=40\degree  and ∠A=80°\angle A=80\degree  . Then, which of the following is true?

a)

 DF=5cm, ∠F=60°DF=5cm,\ \angle F=60\degree  

b)

 DE=56cm, ∠E=60°DE=56cm,\ \angle E=60\degree  

c)

 DF=5cm, ∠E=60°DF=5cm,\ \angle E=60\degree  

d)

 DE=5cm,∠D=40°DE=5cm,\angle D=40\degree  

15.

The abscissa of a point is positive in the

a)

First and Second quadrant

b)

Second and Third quadrant

c)

Third and Fourth quadrant

d)

Fourth and First quadrant

16.

The distance of the point P(4, 3) from the origin is:

a)

4

b)

3

c)

5

d)

7

17.

If (4, 19) is a solution of the equation y = ax + 3, then a = ?

a)

3

b)

4

c)

5

d)

6

18.

The graph of the linear equation 2x - y = 4 cuts x-axis at:

a)

( 2, 0 )

b)

( -2, 0 )

c)

( 0, -4 )

d)

( 0, 4 )

19.

If one angle of a parallelogram is 24°24\degree  less than twice the smallest angle, then the measure of the largest angle of the parallelogram is :

a)

 176°176\degree  

b)

 68°68\degree  

c)

 112°112\degree  

d)

 102°102\degree  

20.

ABCD is a parallelogram and E is the mid point of BC. DE and AB when produced meet at F. Then, AF = ?

a)

32AB\frac{3}{2}AB

b)

2AB2AB

c)

3AB3AB

d)

54AB\frac{5}{4}AB