Free Printable 9 Maths full course 2.0

1.

Which one of the following is a correct statement?

a)

Decimal expansion of a rational number is terminating

b)

Decimal expansion of a rational number is non-terminating

c)

Decimal expansion of a irrational number is terminating

d)

Decimal expansion of a irrational number is non-terminating and non-repeating

2.

The number 0.318564318564318564...... is:

a)

a natural number

b)

an integer

c)

a rational number

d)

an irrational number

3.

If n is a natural number, then

\sqrt{n}

is

a)

always a natural number

b)

always an irrational number

c)

always an irrational number

d)

sometimes a natural number and sometimes an irrational number

4.

a)

b)

c)

d)

5.

If $x=\frac{2}{3+\sqrt{7}}$ , then $\left(x-3\right)^2$

a)

1

b)

3

c)

6

d)

7

6.

if $x^2+\frac{1}{x^2}=\ 102,\$ then $x\ -\ \frac{1}{x}=\ ?$

a)

8

b)

10

c)

12

d)

13

7.

If a + b + c = 9 and ab+bc +ca = 23, then

a^2+b^2+c^2

a)

35

b)

58

c)

127

d)

none of these

8.

The 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.

The point Q(4, -6) lies in

a)

quadrant I

b)

quadrant II

c)

quadrant III

d)

quadrant IV

10.

If x>0 and y<0, then the point (x, y) lies in

a)

quadrant I

b)

quadrant II

c)

quadrant III

d)

quadrant IV

11.

If (a, 4) lies on the graph of 3x + y = 10, then the value of a is

a)

3

b)

1

c)

3

d)

4

12.

The graph of the linear equation 4x + 3y = 12 cuts the x-axis at the point

a)

(4, 0)

b)

(0, 4)

c)

(0, 3)

d)

(3, 0)

13.

If $3\angle A=4\angle B=6\angle C$ , then $A\ :\ B\ :\ C=\ ?$

a)

$3\ :\ 4\ :\ 6$

b)

$4\ :\ 3\ :\ 2$

c)

$2\ :\ 3\ :\ 4$

d)

$6\ :\ 4\ :\ 3$

14.

In the given figure, BO and CO are the bisectors of $\angle B$ and $\angle C$ respectively. If $\angle A=50^o$ , then $\angle BOC=\ ?$

a)

$130^o$

b)

$100^o$

c)

$115^o$

d)

$120^o$

15.

In Fig., the value of x is

a)

12

b)

15

c)

20

d)

30

16.

In Fig., $PQ\parallel RS,\ \angle AEF=95\degree,\ \angle BHS=110\degree$ and $\angle ABC=x\degree$ . Then the value of x is

a)

$15\degree$

b)

$25\degree$

c)

$70\degree$

d)

$35\degree$

17.

It is given that $\Delta ABC\cong\Delta FDE$ in which AB = 5 cm, $\angle B=40\degree$ , $\angle A=80\degree$ and FD = 5 cm. Then, which of the following is true?

a)

$\angle D=60\degree$

b)

$\angle E=60\degree$

c)

$\angle F=60\degree$

d)

$\angle D=80\degree$

18.

It is given that $\Delta ABC\cong\Delta FDE$ in which AB = 5 cm, $\angle B=40\degree$ , $\angle A=80\degree$ and FD = 5 cm. Then, which of the following is true?

a)

$\angle D=60\degree$

b)

$\angle E=60\degree$

c)

$\angle F=60\degree$

d)

$\angle D=80\degree$

19.

It is given that $\Delta ABC\cong\Delta FDE$ in which AB = 5 cm, $\angle B=40\degree$ , $\angle A=80\degree$ and FD = 5 cm. Then, which of the following is true?

a)

$\angle D=60\degree$

b)

$\angle E=60\degree$

c)

$\angle F=60\degree$

d)

$\angle D=80\degree$

20.

In the given figure, AB = AC and OB = OC. Then, $\angle ABO\ :\ \angle ACO=?$

a)

1 : 1

b)

2 : 1

c)

1 : 2

d)

None of these

21.

In the given figure, D is the midpoint of BC, $DE\perp AB$ and $DF\perp AC$ such that DE = DF. Then, which of the following is true?

a)

AB = AC

b)

AC = BC

c)

AB = BC

d)

None of these

22.

The radius of a circle is 6 cm. The perpendicular distance from the centre of the circle to the chord which is 8 cm in length, is

a)

\sqrt{5}cm

b)

$2\sqrt{5}cm$

c)

$2\sqrt{7}cm$

d)

$\sqrt{7}cm$

23.

The radius of a circle is 6 cm. The perpendicular distance from the centre of the circle to the chord which is 8 cm in length, is

a)

\sqrt{5}cm

b)

$2\sqrt{5}cm$

c)

$2\sqrt{7}cm$

d)

$\sqrt{7}cm$

24.

In a circle, the major arc is 3 times the minor arc. The corresponding central angles and the degree measures of two arcs are

a)

90\degree\ and\ 270\degree

b)

$90\degree\ and\ 90\degree$

c)

$270\degree\ and\ 90\degree$

d)

$60\degree\ and\ 210\degree$

25.

Two equal circles of radius r intersect such that each passes through the centre of the other. The length of the common chord of the circles is

a)

\sqrt{r}

b)

$\sqrt{2}rAB$

c)

$\sqrt{3}r$

d)

$\frac{\sqrt{3}}{2}r$

26.

PQRS is a cyclic quadrilateral such that PR is a diameter of the circle. If $\angle QPR=67\degree$ and $\angle SPR=72\degree$ , then $\angle QRS=$

a)

$41\degree$

b)

$23\degree$

c)

$67\degree$

d)

$18\degree$

27.

PQRS is a cyclic quadrilateral such that PR is a diameter of the circle. If $\angle QPR=67\degree$ and $\angle SPR=72\degree$ , then $\angle QRS=$

a)

$41\degree$

b)

$23\degree$

c)

$67\degree$

d)

$18\degree$

28.

PQRS is a cyclic quadrilateral such that PR is a diameter of the circle. If $\angle QPR=67\degree$ and $\angle SPR=72\degree$ , then $\angle QRS=$

a)

$41\degree$

b)

$23\degree$

c)

$67\degree$

d)

$18\degree$

29.

Which of the following angles can be constructed using ruler and compass only?

a)

65\degree

b)

$72\degree$

c)

$80\degree$

d)

$67.5\degree$

30.

The sides of a triangle are 50 cm, 78 cm and 112 cm. The smallest altitude is

a)

20 cm

b)

30 cm

c)

40 cm

d)

50 cm

31.

If the area of an isosceles right triangle is 8 cm, what is the perimeter of the triangle?

a)

8+\sqrt{2}cm^2

b)

$8+4\sqrt{2}cm^2$

c)

$4+8\sqrt{2}cm^2$

d)

$12\sqrt{2}cm^2$

32.

How much cloth 2.5 m wide will be required to make a conical tent having base radius 7 m and height 24 m?

a)

120 m

b)

180 m

c)

220 m

d)

550 m

33.

A river 1.5 m deep and 30 m wide is flowing at the rate of 3 km per hour. The volume of water that runs into the sea per minute is

a)

$2000\ m^3$

b)

$2250\ m^3$

c)

$2500\ m^3$

d)

$2750\ m^3$

34.

The range of the data 12, 25, 15, 18, 17, 20, 22, 6, 16, 11, 8, 19, 10, 30, 20, 32

a)

10

b)

15

c)

18

d)

26

35.

Let m be the midpoint and u be the upper class limit of a class, in a

continuous frequency distribution. The lower class limit of the class is

a)

2m - u

b)

2m + u

c)

m - u

d)

m + u

36.

The mean weight of six boys in a group is 48 kg. The individual weights of five of them are 51 kg, 45 kg, 49 kg, 46 kg and 44 kg. The weight of the 6th boy is

a)

52 kg

b)

52.8 kg

c)

53 kg

d)

47 kg

37.

The mean weight of six boys in a group is 48 kg. The individual weights of five of them are 51 kg, 45 kg, 49 kg, 46 kg and 44 kg. The weight of the 6th boy is

a)

52 kg

b)

52.8 kg

c)

53 kg

d)

47 kg

38.

The weight of 10 students (in kgs) are

55,40,35,52,60,38,36,45,31,44

The median weight is

a)

40 kg

b)

41 kg

c)

42 kg

d)

44 kg

39.

In a sample study 642 people , it was found that 514 people have high school certificate. If a person is selected at random, then the probability that the person has a high school certificate is

a)

0.5

b)

0.6

c)

0.7

d)

0.8

40.

On a particular day, 30 students are present in a class and another 10 are absent. The teacher calls out attendance of a particular roll number. What is the probability that the student is absent ?

a)

$\frac{1}{3}$

b)

$\frac{1}{2}$

c)

$\frac{3}{4}$

d)

$\frac{1}{24}$

41.

In 65 throws of a die , the outcomes were noted as given:

A die is thrown at random. What is the probability of getting a prime number ?

a)

$\frac{3}{35}$

b)

$\frac{3}{5}$

c)

$\frac{31}{65}$

d)

$\frac{36}{65}$

9 Maths full course 2.0 - 1

Total questions: 41

Worksheet time: 21mins

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