Free Printable 9th prakash 1,2,6,12

1.

A rational number equivalent to

\frac{5}{7}

is

a)

$\frac{15}{17}$

b)

$\frac{25}{27}$

c)

$\frac{10}{14}$

d)

$\frac{10}{27}$

2.

If the decimal representation of a number is non-terminating, non-repeating then the number is

a)

a natural number

b)

a rational number

c)

a whole number

d)

an irrational number

3.

$\left(-7\ +\ 4\sqrt{7}\ -\ 3\sqrt{7}\right)\ is\$

a)

a positive rational number

b)

an irrational number

c)

a negative rational number

d)

equal to zero

4.

on simplifying

8^3\times2^4

, we get

a)

$16^7$

b)

$2^{13}$

c)

$2^{10}$

d)

$8^4$

5.

Simplified value of

\sqrt{\frac{\left(\sqrt{12}-\sqrt{8}\right)\left(\sqrt{3}+\sqrt{2}\right)}{5+\sqrt{24}}}

is

a)

$\sqrt{6}-2$

b)

$2\ -\ \sqrt{6}$

c)

0

d)

1

6.

If

x\ -\ \frac{1}{x}

= -1 , find value of

x^2\ +\ \frac{1}{x^2}

a)

1

b)

2

c)

3

d)

4

7.

Value of a, if (y - a) is factor of the polynomial p(y) = y³ -ay² + a - 1

a)

1

b)

2

c)

a

d)

2a

8.

If x¹⁴⁰ + 2x¹⁵¹ + k is divisible by x + 1, then value of k is

a)

1

b)

-3

c)

2

d)

-2

9.

Which of the polynomial has (x -1) as factor ?

\left(i\right)\ x^3+x^2+x\ -3

\left(ii\right)\ x^4\ +\ x^3\ +\ x^2\ +\ x\ +\ 1

\left(iii\right)\ x^4\ +\ 3x^3\ +\ 3x^2\ +\ x\ -\ 8

\left(iv\right)\ x^3\ -\ x^2\ -\left(2+\sqrt{2}\right)x\ +\ \sqrt{2}

a)

(i)

b)

(iii)

c)

(ii) and (iv)

d)

(i) and (iii)

10.

Factorise : $3x^3\ +\ 2x^2\ +\ 3x\ +\ 2$

a)

$\left(3x\ -2\right)\left(x^2-1\right)$

b)

$\left(3x\ -\ 2\right)\left(x^2+1\right)$

c)

$\left(3x+2\right)\left(x^2-1\right)$

d)

$\left(3x+2\right)\left(x^2+1\right)$

11.

In given figure, $AB\ \parallel\ CD$ and EF $\parallel$ BD. If $\angle CDB\ =\ 100\degree$ , find $\angle AEF$

a)

$80\degree$

b)

$60\degree$

c)

$100\degree$

d)

$105\degree$

12.

In the given figure,

AB\ \parallel\ CD\

and

BC\ \parallel\ ED

. Find value of x

a)

$105\degree$

b)

$75\degree$

c)

$95\degree$

d)

$85\degree$

13.

in given figure, $AB\parallel CD,\ \angle BAD\ =\ 90\degree$ , $\angle CBD\ =\ 28\degree$ and $\angle BCE\ =\ 65\degree$ , then $\angle ABD\ =\ ?$

a)

$32\degree$

b)

$37\degree$

c)

$43\degree$

d)

$53\degree$

14.

In the given figure, sides CB and BA of $\Delta$ ABC have been produced to D and E respectively such that $\angle ABD\ =\ 110\degree$ and $\angle CAE\ =\ 135\degree$ , Then $\angle ACB\ =\ ?$

a)

$35\degree$

b)

$45\degree$

c)

$55\degree$

d)

$65\degree$

15.

In given figure, $AB\ \parallel\ CD,\ CD\ \parallel\ EF$ and y:z = 3:7, then x = ?

a)

$108\degree$

b)

$126\degree$

c)

$162\degree$

d)

$63\degree$

16.

The length of each side of equilateral triangle having an area of $9\sqrt{3}cm^2$ , is

a)

8 cm

b)

36 cm

c)

4 cm

d)

6 cm

17.

In $\Delta\ ABC,\$ if AB = 7 cm, BC = 8 cm and CA = 5 cm, then find area of $\Delta\ ABC$

a)

$14\ cm^2$

b)

$13\ cm^2$

c)

$10\sqrt{3}cm^2$

d)

$12\sqrt{3}cm^2$

18.

Find s, if (s -a) = 5 cm, (s - b) = 10 cm and (s-c) = 1 cm, where s is the semiperimeter of triangle having sides a, b and c.

a)

16 cm

b)

12 cm

c)

14 cm

d)

18 cm

19.

Two sides of triangle are 26 cm and 30 cm. If perimeter of the triangle is 84 cm, then find the area of triangle

a)

336 cm²

b)

338 cm²

c)

334 cm²

d)

340 cm²

20.

Longest side of the right angled triangle is 125 m and one of the remaining two sides is 100 m. Find its area

a)

3750 m²

b)

3850 m²

c)

3550 m²

d)

3570 m²

9th prakash 1,2,6,12

Total questions: 20

Worksheet time: 32mins

Similar Resources on Wayground