Free Printable GRADE 9 MATHS QUIZ

1.

Classify the following:

0.04769165821735......

a)

Irrational

b)

Rational

2.

How would 5/9 be classified?

a)

rational and real

b)

whole and integer

c)

only real

d)

only irrational

3.

All whole numbers are integers.

a)

False

b)

True

4.

Classify the following:

√13?

a)

Rational

b)

Irrational

5.

What is the simplified form of the above?

a)

7/10 + 11/10 i

b)

13/10 +1/10 i

c)

5/4 - 3/2i

d)

7/10 - 11/10 i

6.

What is the simplifies form of (11 - 7i) - (-3 + 12i)

a)

8 - 19i

b)

8 + 5i

c)

13- 19i

d)

14 -19i

7.

$2\sqrt{3}+\ \sqrt{3}$ is equal to

a)

$2\sqrt{6}$

b)

6

c)

$3\sqrt{3}$

d)

$4\sqrt{6}$

8.

$\sqrt{10}\ \times\sqrt{5}$ is equal to

a)

$\sqrt{15}$

b)

$\sqrt{150}$

c)

$\sqrt{50}$

d)

5

9.

The number obtained on rationalizing the denominator of $\frac{1}{\sqrt{7}-2}$ is

a)

$\frac{\sqrt{7}+2}{3}$

b)

$\frac{\sqrt{7}-2}{3}$

c)

$\frac{\sqrt{7}+2}{5}$

d)

$\frac{\sqrt{7}-2}{5}$

10.

$\frac{1}{\sqrt{9}-\sqrt{8}}$ is equal to

a)

$\sqrt{9}-\sqrt{8}$

b)

$\frac{\sqrt{9}-\sqrt{8}}{1}$

c)

$3-\sqrt{8}$

d)

$3+\sqrt{8}$

11.

After rationalize the denominator of $\frac{7}{3\sqrt{3}-2\sqrt{2}}$ , we get the denominator as

a)

13

b)

19

c)

5

d)

37

12.

The number obtained on rationalizing the denominator of $\frac{3}{\sqrt{3}}$ is

a)

3

b)

$\frac{\sqrt{3}}{3}$

c)

$\sqrt{3}$

d)

$3\sqrt{3}$

13.

$64^{\frac{1}{3}}$ is equal to

a)

8

b)

4

c)

12

d)

6

14.

$2^{\frac{1}{3}}\times\ 2^{\frac{1}{6}}$ is equal to

a)

2

b)

$2^{\frac{1}{2}}$

c)

$2^{\frac{1}{3}}$

d)

3

15.

$a^{-1}$ is equal to

a)

a

b)

1

c)

0

d)

$\frac{1}{a}$

16.

$\left(3^{\frac{1}{2}}\right)^{\frac{1}{3}}$ is equal to

a)

$3^{\frac{1}{2}}$

b)

$3^{\frac{1}{3}}$

c)

$3^{\frac{1}{5}}$

d)

$3^{\frac{1}{6}}$

17.

The decimal representation of an irrational number is

a)

always terminating

b)

either terminating or repeating

c)

either terminating or non-terminating

d)

neither terminating nor repeating

18.

Every rational number is

a)

a natural number

b)

a whole number

c)

an integer

d)

a real number

19.

The simplest form of 1. $\overline{6}$

a)

$\frac{833}{500}$

b)

$\frac{8}{5}$

c)

$\frac{5}{3}$

d)

none of these

20.

If $\frac{\sqrt{3}-1}{\sqrt{3}+1}=a-b\sqrt{3\ },\ find\ a\ and\ b$

a)

3,2

b)

2,1

c)

0,1

d)

3,4

21.

An irrational number between 5 and 6 is

a)

$\frac{5+6}{2}$

b)

$\sqrt{5+6}$

c)

$\sqrt{5\times6}$

d)

none of these

22.

The decimal expansion of 7/8 is

a)

3.33...

b)

0.875.....

c)

0.875

d)

0.1428

23.

Simplify $\left(8\right)^{\frac{2}{3}}-\sqrt{9}\times10^0+\left(\frac{1}{144}\right)^{-\frac{1}{2}}$

a)

12

b)

0

c)

13

d)

23

24.

Simplify $\left(3+\sqrt{2}\right)\left(3-\sqrt{2}\right)-\left(5+\sqrt{2}\right)\left(5-\sqrt{2}\right)$

a)

-9

b)

-16

c)

16

d)

13

25.

If a=2 and b=3 then find the value of $\left(a^a+b^b\right)^{-1}$

a)

31

b)

1/31

c)

1/17

d)

17

26.

The name of the quadrant in which the point (-3,-5) lies

a)

first

b)

second

c)

third

d)

fourth

27.

The distance of the point (-1,0) from O is

a)

0

b)

1

c)

-1

d)

none of these

28.

Fill in the blanks:
Point (0 , -7) lies______

a)

on the x-axis

b)

in the second quadrant

c)

on the y-axis

d)

in the fourth quadrant

29.

x-coordinate of a point is also known as _____

a)

Ordinate

b)

Origin

c)

Abscissa

d)

Ordered pair

30.

The point at which the two coordinate axes meet is called ______

a)

abscissa

b)

ordinate

c)

origin

d)

quadrant

31.

If y-coordinate of a point is zero, then this point always lies:

a)

in I quadrant

b)

in II quadrant

c)

on x - axis

d)

on y - axis

32.

What is the coordinates of point A?

a)

(0,6)

b)

(-4,3)

c)

(8,-9)

d)

(-6,-6)

33.

What is the coordinates of point E?

a)

(0,6)

b)

(-4,3)

c)

(8,-9)

d)

(-6,-6)

34.

Name the quadrant in which the point (-5 , -4) lie

a)

I QUDRANT

b)

II QUADRANT

c)

III QUADRANT

d)

IV QUADRANT

35.

Which point lies on x-axis

a)

(3,-5)

b)

(3,0)

c)

(0,3)

d)

(3,3)

36.

The angles of a triangle are in the ratio 5 : 3 : 7. The triangle is

a)

(A) an acute angled triangle

b)

(B) an obtuse angled triangle

c)

(C) a right triangle

d)

(D) an isosceles triangle

37.

How many triangles can be drawn having its angles as 53°, 64° and 63°?

a)

one

b)

two

c)

infinite

d)

none

38.

If two lines intersect, are the vertically opposite angles are unequal.

a)

yes

b)

no

39.

Through a given point, how many lines can draw perpendicular to a given line.

a)

0

b)

1

c)

2

d)

3

40.

$\angle1\$ and $\angle2$ are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

41.

$\angle8$ and $\angle6$ are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

42.

$\angle3$ and $\angle7$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

43.

a)

x = 60⁰

b)

x = 80⁰

c)

x = 120⁰

d)

x = 70⁰

44.

a)

∠a = 60°

b)

∠a = 50°

c)

∠a = 10°

d)

∠a = 55°

45.

What is the value of x?

a)

13

b)

6.2

c)

29.8

46.

a)

2x-6=7x+4

b)

2x-6+7x+4=90

c)

2x-6+7x+4=180

d)

2x-6+7x+4=360

47.

Solve for x.

a)

x = 10

b)

x = 9

c)

x = 2

d)

x = 11

48.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

49.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

50.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

51.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

52.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

53.

In ΔABC, AB = AC and ∠B = 50°, then find ∠C.

a)

50°

b)

40°

c)

80°

d)

120°

54.

Simplify

\left(3^2\right)^4\left(a^2\right)^3

a)

$3^8a^6$

b)

$3^6a^8$

c)

$3^6a^6$

d)

$3^8a^8$

55.

Which of the following is true?

a)

$\left(x^2\right)^7\left(y^3\right)^5=y^5x^{14}$

b)

$\left(x^2\right)^7\left(y^3\right)^5=y^{14}x^{15}$

c)

$\left(x^2\right)^7\left(y^3\right)^5=y^{15}x^{14}$

d)

$\left(x^2\right)^7\left(y^3\right)^5=y^{15}x^4$

56.

Give the most precise classification for the quadrilateral.

a)

parallelogram

b)

rhombus

c)

trapezoid

d)

rectangle

57.

Which of the following could represent the missing coordinates of P in rectangle KPWA?

a)

(0, c)

b)

(x, y)

c)

(x, c)

d)

(c, c)

58.

Give the most precise classification for the quadrilateral.

a)

parallelogram

b)

rhombus

c)

square

d)

rectangle

e)

kite

59.

What is the mirror image of (3 , 9) considering x-axis as mirror?

a)

(3 , -9)

b)

(9 , 3)

c)

(-9 , -3)

d)

(-3 , -9)

60.

The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is

a)

5

b)

12

c)

7

d)

11

61.

What in the area of an equilateral triangle with side 2 cm?

a)

$\sqrt{6\ }cm^2$

b)

$\sqrt{8}cm^2$

c)

$\sqrt{3}cm^2$

d)

$4\ cm^2$

62.

3. What is the length of each side of an equilateral triangle having an area of

4\sqrt{3}\ cm^2

a)

4 cm

b)

5 cm

c)

3 cm

d)

6 cm

63.

4. The sides of a triangle are 3 cm, 5 cm and 6 cm. What is its area?

a)

$2\sqrt{3}cm^2$

b)

$4\sqrt{14}cm^2$

c)

$5\sqrt{12}cm^2$

d)

$2\sqrt{5}cm^2$

64.

If the perimeter of an equilateral triangle is 60 cm, then what is its area?

a)

$100\sqrt{2}cm^2$

b)

$200\sqrt{2}cm^2$

c)

$100\sqrt{3}cm^2$

d)

$200\sqrt{3}cm^2$

65.

If the perimeter of an equilateral triangle is 60 cm, then what is its area?

a)

$100\sqrt{2}cm^2$

b)

$200\sqrt{2}cm^2$

c)

$100\sqrt{3}cm^2$

d)

$200\sqrt{3}cm^2$

66.

The sides of a triangle are 15 cm, 17 cm and 8 cm. What is its area?

a)

$20\ cm^2$

b)

$40\ cm^2$

c)

$60\ cm^2$

d)

$80\ cm^2$

67.

The sides of a triangle are in the ratio of 3 : 4 : 5. If its perimeter is 36 cm, then what is its area?

a)

$32\ cm^2$

b)

$54\ cm^2$

c)

$67\ cm^2$

d)

$72\ cm^2$

68.

The area of triangle with given two sides 18 cm and 10 cm respectively and perimeter equal to 42 cm is:

a)

$20\sqrt{11}cm^2$

b)

$19\sqrt{11}cm^2$

c)

$22\sqrt{11}cm^2$

d)

$21\sqrt{11}cm^2$

69.

If the sides of a triangle are 8, 8, and 8, what is the area?

a)

8

b)

15.58

c)

27.71

d)

62.91

70.

Which option is INCORRECT ?

Heron's Formula is used to find the area of triangle when

a)

Three sides are given

b)

Two sides & perimeter is given

c)

Height is given

d)

Two sides & semi perimeter is given

71.

The length of equal sides of an ISOSCELES RIGHT TRIANGLE is √2 cm. Find the length of its hypotenuse

a)

4 cm

b)

8 cm

c)

2 cm

d)

None of the above

GRADE 9 MATHS QUIZ

Total questions: 71

Worksheet time: 36mins

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