Free Printable Number System and Polynomials

1.

Simplify

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

a)

12

b)

0

c)

13

d)

2

2.

P/q form of

0.2\overline{52}

a)

25/999

b)

252/999

c)

25/90

d)

25/99

3.

The degree of a zero polynomial is

a)

0

b)

not defined

c)

1

d)

2

4.

For what value of a, is the polynomial

x^3+2x^2-3ax-8

divisible by x - 4

a)

22/3

b)

11/3

c)

11

d)

3

5.

The value of 216^1/3 - 125^1/3 is ..............

a)

1

b)

0

c)

2

d)

None of these

6.

If

x=3+2\sqrt{2},\ check\ whether\ \ x\ \ +\ \frac{1}{\ x\ }\ \ is\ \ rational\ \ \ or\ \ \ irrational.

a)

Rational

b)

Irrational

7.

What are the possible dimensions of the cuboid 3x²-12x

a)

3,x,x-4

b)

x,3,x-4

c)

x-4,x,3

d)

All of these

8.

$2^x=3^y=6^{-z},\ then\ find\ \frac{1}{x}+\frac{1}{y}+\frac{1}{z}$ if

a)

0

b)

1

c)

2

d)

3

9.

An irrational number between $\sqrt{3}$ and $\sqrt{5}$

a)

1.656556555........

b)

2,1010101...................

c)

2.10100100010000..............

d)

2.656556555.............

10.

which of the following is an irrational number

a)

$\sqrt{\frac{9}{4}}$

b)

$\sqrt{\frac{12}{3}}$

c)

$\sqrt{7}$

d)

$\sqrt{81}$

11.

sum of rational and and irrational number is always ___________

a)

irrational

b)

rational

12.

If a = $\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$ ,b = $\frac{\sqrt{3}-\sqrt{2}}{\sqrt{ }3+\sqrt{2}}$ find $a^2+b^2$

a)

89

b)

96

c)

98

d)

69

13.

$81^{\frac{5}{x}}=243$ then x =-----------

a)

1

b)

2

c)

3

d)

4

14.

Find the perimeter of a rectangle with length (x-5) and width (3x+1).

a)

8x-8

b)

4x-4

c)

8x+8

d)

4x+12

15.

A repeating decimal or decimal that terminates is called a

a)

Natural Number

b)

Irrational Number

c)

Rational Number

d)

Whole Number

16.

Which is the result of dividing $4x^3-13x^2+x+6$ by $x-3$ ?

a)

$4x^2-x-2$

b)

$4x^2-x-2+\frac{3}{x-3}$

c)

$4x^2+49x+228$

d)

$4x^2-25x+\frac{302}{x-3}$

17.

The length of a canvas in centimeters is given by the function $I\left(x\right)=\left(x+10\right)$ . The width is given by the function $w\left(x\right)=x^2-3$ . Find a function A(x) for the area of the canvas in cubic centimeters.

a)

$A\left(x\right)=x^3+7x^2-30$

b)

$A\left(x\right)=x^3+10x^2-3x-30$

c)

$A\left(x\right)=x^3-3x^2+10x-30$

d)

$A\left(x\right)=x^3+13x^2+30$

18.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

a)

Yes, (x-2) is a factor. There is a remainder.

b)

No, (x-2) is not a factor. The remainder is zero.

c)

Yes, (x-2) is a factor. The remainder is zero.

d)

No, (x-2) is not a factor. There is a remainder.

19.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

20.

Which one of these Real Numbers is equal to a Rational Number?

a)

$\sqrt{16}$

b)

$\sqrt{15}$

c)

$\sqrt{17}$

d)

$\sqrt{18}$

Number System and Polynomials

Total questions: 20

Worksheet time: 31mins

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