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Worksheets

Mock-Quiz-Mathematics For STHP-2023

Total questions: 52

Worksheet time: 3hrs 48mins

Name
Class
Date
1.

Which of the following number is in set of irrational?

a)

ee

b)

22\frac{\sqrt{2}}{\sqrt{2}}

c)

0

d)

227\frac{22}{7}

2.

0.39393939...=

a)

39100\frac{39}{100}

b)

1333\frac{13}{33}

c)

9939\frac{99}{39}

d)

3939100\frac{3939}{100}

3.

If x, y and z are rational numbers then which of the followings must be always true?

a)

x(y+z)=xz+yzx\left(y+z\right)=xz+yz

b)

x+y=y+xx+y=y+x

c)

yz=zyyz=zy

d)

All of these

4.

If 12023+x  \frac{1}{2023+x}\ \ is a real number then its multiplicative inverse must be----

a)

x2023-x-2023

b)

x+2023x+2023

c)

x2023x-2023

d)

does not exist

5.

Pick correct relation

a)

25<13\frac{2}{5}<\frac{1}{3}

b)

1013>1114\frac{10}{13}>\frac{11}{14}

c)

29>45-\frac{2}{9}>-\frac{4}{5}

d)

522>0-\frac{5}{22}>0

6.

x25x+6-x^2-5x+6 can be factored as ----

a)

- (x+1)(x+6)\left(x+1\right)\left(x+6\right)

b)

(x5)(x6)\left(x-5\right)\left(x-6\right)

c)

(x1)(x+6)-\left(x-1\right)\left(x+6\right)

d)

Can't be factorized

7.

The product of x24x+4 x^2-4x+4\ and 12x\frac{1}{2-x} is

a)

(2x)-\left(2-x\right)

b)

x2x-2

c)

2x-2-x

d)

2x2-x

8.

When an expression is divided by 2x+3 the result is 2x-3, what is the expression?

a)

4x294x^2-9

b)

(2x3)2x+3\frac{\left(2x-3\right)}{2x+3}

c)

(2x+3)2x3\frac{\left(2x+3\right)}{2x-3}

d)

There is no such expressionThere\ is\ no\ such\ \exp ression

9.

For n=PVRTn=\frac{PV}{RT} , Find n if P=V=8 and R=T=2

a)

2

b)

4

c)

8

d)

16

10.

 (x2+5x+4)x÷(x+4)x+x2=\ \frac{\left(x^2+5x+4\right)}{x}\div\frac{\left(x+4\right)}{x+x^2}=

a)

x+1x+1

b)

(x+1)2\left(x+1\right)^2

c)

(x+1)3\left(x+1\right)^3

d)

(x+1)4\left(x+1\right)^4

11.

Solve for x, 2x+5=3+x+2(x1)x2x+5=3+x+2\left(x-1\right)-x

a)

x=0x=0

b)

x=1x=1

c)

x=9x=9

d)

No solution

12.

For what value(s) of y (y+2023)+y2023=2y\left(y+2023\right)+y-2023=2y ?

a)

y=0y=0

b)

y=1y=-1

c)

y=3y=3

d)

for all real values of yy

13.

Solve (x2)x+3=56\frac{\left(x-2\right)}{x+3}=\frac{5}{6}

a)

{27}

b)

{20}

c)

{2}

d)

{2,3}

14.

Solve  z2+2(π+e) z+π22ez=0\ z^2+2\left(\pi+e\right)\ z+\pi^2-2ez=0

a)

{π }\left\{\pi\ \right\}

b)

{π}\left\{-\pi\right\}

c)

{π ,e }\left\{\pi\ ,e\ \right\}

d)

{e}\left\{e\right\}

15.

For what value(s) of c, the roots of x2+4x+c=0x^2+4x+c=0 are real?

a)

c>4c>4

b)

c4c\le4

c)

c>6c>6

d)

NONENONE

16.

Find the value of  |5-x| if x=2023\ \text{|5-x| if x=2023}

a)

20182018

b)

20192019

c)

2018-2018

d)

20212021

17.

For what value(s) of z, |3z-2| is equal to 1?

a)

z=3 or z=1z=3\ or\ z=1

b)

z=13 or z=1z=\frac{1}{3}\ or\ z=-1

c)

z=13 or z=1z=\frac{1}{3}\ or\ z=1

d)

No solutionNo\ solution

18.

Solve 5x12=5\frac{\left|5x-1\right|}{2}=5

a)

{135,3}\left\{-\frac{13}{5},-3\right\}

b)

{135,3}\left\{-\frac{13}{5},3\right\}

c)

{135,3}\left\{\frac{13}{5},-3\right\}

d)

{135,3}\left\{\frac{13}{5},3\right\}

19.

which of the following values of x satisfies 3x+1<4-3x+1<4 ?

a)

x=0

b)

x=-0.5

c)

x=1

d)

All values of these

20.

The solution to 4x+5214x+5\ge21 can be represented as

a)
b)
c)
d)

None of these

21.

If f(x)=ax+b then f(ba)=If\ f\left(x\right)=ax+b\ then\ f\left(-\frac{b}{a}\right)=---

a)

1

b)

0

c)

a

d)

b

22.

Choose correct statement

a)

Every relation is function

b)

Every function is a relation

c)

Every function is one to one

d)

Every function is onto

23.

Which of the following graphs is not a function?

a)

b)

c)

d)

24.

Find f(-2) if f(x)=x+2+1f\left(x\right)=-\left|-x+2\right|+1

a)

3

b)

5

c)

-2

d)

-3

25.

x-coordinate of solution of the system yx=4  , y+x=2y-x=4\ \ ,\ y+x=2 is----

a)

3

b)

2

c)

1

d)

-1

26.

Which of the following points is not solution to x+2y=3, 6y3x=9 ?x+2y=3,\ -6y-3x=-9\ ?

a)

(3,0)\left(3,0\right)

b)

(1,2)\left(-1,2\right)

c)

(9,3)\left(9,-3\right)

d)

(0,3)\left(0,3\right)

27.

Which of the following points satisfy both the equations; x+2y=3, 4x8y=10-x+2y=3,\ 4x-8y=-10 ?

a)

(0,32)\left(0,\frac{3}{2}\right)

b)

(52,0)\left(-\frac{5}{2},0\right)

c)

(0,0)\left(0,0\right)

d)

None of these is satisfying both the equations

28.

(1,2) is solution of \left(1,2\right)\ is\ solution\ of\

a)

3y+2x=8,   3yx=53y+2x=8,\ \ \ 3y-x=5

b)

3y2x=8, 3y+2x=53y-2x=8,\ 3y+2x=5

c)

3y+2x=8,   3y+x=5-3y+2x=8,\ \ \ -3y+x=5

d)

None of these

29.

Solve 2x+y=1, x2y=12x+y=1,\ x-2y=1

a)

(35,15)\left(\frac{3}{5},\frac{1}{5}\right)

b)

(3,1)\left(3,-1\right)

c)

(35,15)\left(\frac{3}{5},-\frac{1}{5}\right)

d)

(35,15)\left(-\frac{3}{5},\frac{1}{5}\right)

30.

The point of intersection of x-axis and y-axis is

a)

(0,0)

b)

(x,y)

c)

(1,1)

d)

There is No intersection point

31.

Charles' law is given by v1T1=v2T2\frac{v_1}{T_1}=\frac{v_2}{T_2} . If T1=2T2 then v1=T_1=2T_2\ then\ v_1=-----

a)

v2v_2

b)

2v22v_2

c)

12v2\frac{1}{2}v_2

d)

1

32.

Salma has 2 less notes of 10 rupees than those of 5 rupees. If total amount she has is 60 rupees. How many 10 rupees notes does she have?

a)

4

b)

3

c)

2

d)

1

33.

Sidra's mother is 26 years older than her. In 10 years, the sum of their ages will be 80. What her mother's present ages?

a)

53

b)

43

c)

33

d)

17

34.

Find three consecutive even integers such that the largest is three times the smallest.

a)

12,14,16

b)

2020,2022,2024

c)

2,4,6

d)

100,102,104

35.

   Perveen alone can finish a work in  5 days, Part of work done by her in 3 days will be -----

a)

53\frac{5}{3}

b)

38\frac{3}{8}

c)

35\frac{3}{5}

d)

33

36.

  Komal can finish a job in 15 days,  while Sania can finish the same job in 1 month. In how many days can they finish the same job if they work together ?

a)

15 days

b)

10 days

c)

45 days

d)

5 days

37.

Two sides of an isosceles triangle are 3 and 7. what must be the third side?

a)

3

b)

7

c)

1

d)

Not possible

38.

227 is\frac{22}{7}\ is--- number

a)

rational

b)

irrational

c)

integer

d)

natural

39.

Find the area of the shaded region

a)

410 sq.cm

b)

420 sq.cm

c)

430 sq.cm

d)

None of these

40.

In a circle the radius is increased by twice in length. The area of the circle will be increased by

a)

Twice

b)

Thrice

c)

Four times

d)

None of these

41.

Surface area of cylinder is

a)

π r2\pi\ r^2

b)

2π r2+2π rh2\pi\ r^2+2\pi\ rh

c)

2π rh2\pi\ rh

d)

None of these

42.

The volume and surface area of Sphere with radius r is given by

a)

Vol=43π r3, Area=4π r2Vol=\frac{4}{3}\pi\ r^3,\ Area=4\pi\ r^2

b)

Area=π r2,Vol=43π r2hArea=\pi\ r^2,Vol=\frac{4}{3}\pi\ r^2h

c)

Area=r2, vol=r3Area=r^2,\ vol=r^3

d)

None of these

43.

   There are 110 boys and 45% girls in the STHP-2023 respectively. How many total students are there?

a)

220

b)

210

c)

200

d)

190

44.

In the captaincy of Inzmam Ul Haq Pakistan won 30% of the total test matches, if Inzmam won 9 test matches as a Captain, then in how many matches did he captained Pakistan?

a)

10

b)

20

c)

60

d)

30

45.

1.     In an election, Imran Khan receives 186 votes while Shahbaz Shareef receives 179 votes. What % of total voters didn't vote if total voters were 365?,

a)

0

b)

1%

c)

100%

d)

1.62%

46.

    By selling an apple device for 22600usd, Unsa gains 20%. What was her gain in usd?

a)

$4020

b)

$5020

c)

$5520

d)

$4520

47.

On a test consisting of 80 questions, Ali answered 75% of the first 60 questions correctly. What percent of the other 20 questions does he need to answer correctly for his grade on the entire exam to be 80%?

a)

85%

b)

95%

c)

100%

d)

110%

48.

In a factory, each employee can make 40 chicken pies in one hour. How long will it take 10 people to make 600 pies?

a)

10 minutes

b)

1.5hours

c)

2hours

d)

6hours

49.

In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

a)

6.25

b)

6.5

c)

6

d)

7

50.

Choose correct statementChoose\ correct\ statement

a)

log(x+y)=log(x)+log(y)\log\left(x+y\right)=\log\left(x\right)+\log\left(y\right)

b)

sin(a+b)=sin(a)+sin(b)\sin\left(a+b\right)=\sin\left(a\right)+\sin\left(b\right)

c)

ln(e)=1 and log(10)=1\ln\left(e\right)=1\ and\ \log\left(10\right)=1

d)

0x2+bx=00x^2+bx=0 is a quadratic equation

51.

Did you enjoy the quiz?

a)

Yes

b)

No

52.

Did you visit our youtube channel for more updates if not then please visit : https://youtube.com/playlist?list=PLWglnu22G9yYyGI3M0HSRhopxVgqYVBYH

a)

Yes

b)

No