Free Printable class 10 revision (real numbers and polynomials)

1.

Find the greatest number of 5 digits, that will give us remainder of 5, when divided by 8 and 9 respectively.

a)

99921

b)

99931

c)

99941

d)

99951

2.

If a and b are two positive integers such that a = 14b. Find the HCF of a and b.

a)

a

b)

b

c)

14b

d)

14a

3.

The ratio between the LCM and HCF of 5, 15, 20 is:

a)

9:1

b)

4:3

c)

11:1

d)

12:1

4.

Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for the first time?

a)

12:20

b)

12:11

c)

12:12

d)

none of these

5.

What will be the least possible number of the planks, if three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length?

a)

20

b)

21

c)

22

d)

23

6.

Three sets of physics, chemistry and mathematics books have to be stacked in such a way that all the books are stored topic wise and the number of books in each stack is the same. The number of physics books is 192, the number of chemistry books is 240 and the number of mathematics books is 168. Determine the number of stacks of physics, chemistry and mathematics books

a)

8,10,7

b)

8,8,8

c)

7,10,8

d)

10,8,7

7.

Write the HCF of smallest composite number and smallest prime number

a)

1

b)

2

c)

3

d)

4

8.

The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after

a)

one decimal place

b)

two decimal place

c)

three decimal place

d)

four decimal place

9.

Two tanks contain 504 and 735 litres of milk respectively. Find the maximum capacity of a container which can measure the milk of either tank an exact number of times.

(a)

10.

The factors of 800

a)

2^6.5^2

b)

2^5.5^3

c)

2^5.5^2

11.

Rational numbers are written in the form of p/q. How many common factors can they have?

a)

2

b)

1

c)

Infinite

d)

None

12.

Write 0.323232..... in rational form

a)

32/9

b)

32/100

c)

31/99

d)

32/99

13.

22/7 is

a)

Rational number

b)

Irrational numbers

14.

5-2√3

a)

Rational

b)

Irrational

c)

Neither

15.

A rational numbers can't be expressed as

a)

Terminating decimal

b)

Non-terminating repeating decimal

c)

Non terminating non repeating decimal

d)

Recurring decimal

16.

π is

a)

terminating decimal

b)

rational number

c)

irrational number

d)

recurring decimal

17.

Which of the following is not a terminating decimal

a)

23/32

b)

41/75

c)

41/50

d)

23/2³5²

18.

p/q form of the decimal 0.875 is

a)

7/8

b)

25/31

c)

7/12

d)

6/7

19.

HCF of 144 and 420 is 12 then their LCM is

a)

6040

b)

4200

c)

1440

d)

5040

20.

The unit digit in 6¹²⁵ is

a)

1

b)

5

c)

6

d)

0

21.

The Decimal expansion of rational numbers is

a)

Terminating Decimals

b)

Non-terminating recurring decimals

c)

Either terminating or non-terminating recurring decimals

d)

Neither terminating nor non-terminating recurring decimals

22.

The collection of all rational numbers and irrational numbers is known as

a)

Real Numbers

b)

Natural Numbers

c)

Integers

d)

Whole numbers

23.

How many rational numbers will exist in between two rational numbers?

a)

1

b)

0

c)

2

d)

Infinite

24.

An even prime number is

a)

1

b)

2

c)

4

d)

8

25.

A number which is neither prime nor composite

a)

3

b)

2

c)

Not determined

d)

1

26.

Between which two whole numbers is the square root of 277?

a)

15 and 16

b)

16 and 17

c)

18 and 19

d)

14 and 15

27.

Between which two whole numbers is the
√5?

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

4 and 5

28.

Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]

a)

-1, -5, 0, 1, 3, 10, 16

b)

16, 10, 3, 1, 0, -1, -5

c)

-5, -1, 0, 1, 3, 10, 16

d)

0, -1, 1, 3, -5, 10, 16

29.

Which of these values is the LEAST?

a)

0

b)

-3

c)

65%

d)

1/2

30.

What is 37% as a decimal?

a)

37

b)

3.7

c)

.37

d)

.037

31.

Which set is in descending order?

a)

15% .45 9/10

b)

.45 15% 9/10

c)

9/10 15% .45

d)

9/10 .45 15%

32.

Which of the following are coprimes

a)

4,6

b)

8,9

c)

5,10

d)

10,12

33.

H.C.F. of any two prime numbers is (a)

34.

Zero is a ___________.

a)

whole number

b)

natural number

c)

whole number, integer, and rational

d)

irrational

35.

The square root of 57 is ...

a)

rational

b)

irrational

36.

Given the following radical, decide if it is rational or irrational:
√121

a)

Rational

b)

Irrational

37.

List all the classifications of numbers that apply to the real number.
436

a)

Irrational

b)

Rational, Integer, Whole

c)

Natural, Whole, Integer, Rational

d)

Rational, Integer

38.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

39.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

40.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

41.

Which number is irrational?

a)

3.14

b)

√2/1

c)

-1/3

d)

√16

42.

Which number is an irrational number?

a)

0.2555...

b)

1/3

c)

√0.64

d)

√18

43.

The value of √35 is between what two numbers?

a)

5 and 6

b)

17 and 18

c)

20 and 21

d)

34 and 36

44.

Which statement is true?

a)

√6 is less than to 2.5

b)

√8 is less than or equal to 2.5

c)

√6 is greater than 2.5

d)

√8 is greater than 3

45.

On a number line, the square root of 50 is located between which two integers?

a)

between 5 and 6

b)

between 7 and 8

c)

between 25 and 26

d)

between 50 and 51

46.

Place the numbers in order from least to greatest

a)

π, 31%, -0.32, 1/3, 3.1

b)

-0.32, 31%, 1/3, 3.1, π

c)

-0.32, 1/3, 31%, 3.1, π

d)

-0.32, 31%, 1/3, π, 3.1

47.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

48.

True or False:
10/4 can be simplified to a whole number.

a)

True

b)

False

49.

Which number has a greater value?

a)

√2

b)

⁵/₄

50.

Classify this number: 6.7

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole

51.

Classify this number: -12

a)

real

b)

real rational

c)

real irrational

d)

real rational integer

52.

Choose the number that applies to these sets: Real, Rational, Integer, Whole

a)

√36

b)

√5

c)

-7

d)

-1

53.

BONUS: Which of these numbers is a whole number?

a)

√25

b)

0

c)

9

d)

All of the above

54.

Rational numbers are denoted by

a)

N

b)

W

c)

Z

d)

Q

55.

The LCM of two numbers is 1200.Which of the the following cannot be their HCF

a)

600

b)

500

c)

400

d)

200

56.

The exponent of 2 in the prime factorisation of 144,is

a)

4

b)

5

c)

6

d)

3

57.

Say 'TRUE' or 'FALSE'
101 is a composite number

a)

TRUE

b)

FALSE

58.

Convert to a decimal

a)

0.19

b)

0.095

c)

0.38

d)

0.57

59.

The decimal representation of √2 is_____

a)

A finite decimal

b)

1.41421

c)

Non-terminating and non-repeating

d)

Non-terminating and recurring

60.

To which category does the number -3 belong?

a)

Whole # Only

b)

Integer Only

c)

Rational # Only

d)

Integer & Rational

61.

The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

a)

10

b)

100

c)

504

d)

2520

62.

The decimal expansion of number

\frac{441}{2^2\times5^3\times7}

has:

a)

a terminating decimal

b)

non terminating but repeating

c)

non terminating non repeating

d)

terminating after two decimal place

63.

If two positive integers a and b are written as a = x³y² and b = xy³; x, y are prime numbers, then HCF (a, b) is

a)

xy

b)

$xy^2$

c)

$x^3y^3$

d)

$x^2y^2$

64.

If two positive integers p and q can be expressed as p = ab² and q = a³b; a, b being prime numbers, then LCM (p, q) is

a)

ab

b)

$ab^2$

c)

$a^3b^2$

d)

$a^3b^3$

65.

If p and q are prime numbers then $\sqrt{p}+\sqrt{q}\$ is

a)

Irrational number

b)

Rational number

c)

Natural number

d)

Integer

66.

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

a)

rational number

b)

irrational number

c)

integer

d)

whole number

67.

$3.\ \overline{27}\ is\$

a)

Irrational number

b)

Rational number

c)

Integer

d)

Whole number

68.

The decimal expansion of $\frac{29}{2^{2\ }\times\ \ 5\ \times\ 7}$ is

a)

terminating

b)

non terminating repeating

c)

non terminating non repeating

d)

none

69.

Compare

\sqrt{9}

and

\pi

a)

$>$

b)

$<$

c)

$=$

d)

$\ge$

70.

The decimal expression of a rational number $\frac{44}{2^2\ \times\ 5}$ terminates after

a)

one decimal

b)

two decimals

c)

three decimals

d)

more than three decimals

71.

If X and Y are prime numbers then HCF of $\ \ X^3Y^2\ \ and\ \ X^2Y\ \$ is

a)

$X^3Y^2$

b)

$X^2Y^2$

c)

$X^2Y$

d)

$XY$

72.

$If\ p=2^3X3,\ q=2X3X5,\ r=3^n\ X\ 5\ and\ LCM\ \left(p,q,r\right)=2^3X3^2X5\ then\ n=$

a)

1

b)

2

c)

3

d)

4

73.

The decimal form of $\frac{1}{800}$ is

a)

0.0125

b)

0.000125

c)

0.0008

d)

0.00125

74.

Which of the following number is a rational number.

a)

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

b)

$\sqrt{24}$

c)

$\sqrt{30}$

d)

$8^{\frac{1}{3}}$

75.

Which of the following is a rational number.

a)

$\frac{\sqrt{28}}{\sqrt{7}}$

b)

$\sqrt{18}$

c)

$\sqrt{15}$

d)

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

76.

$3^n\ \times\ 4^n\ \$ cannot end with digit ............ for any natural number n

a)

$2$

b)

$4$

c)

$5$

d)

$8$

77.

Which of the following is not a irrational number?

a)

$3+\sqrt{7}$

b)

$3-\sqrt{7}$

c)

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

d)

$3\sqrt{7}$

78.

If the HCF(16,Y) = 8 and LCM(16,y)=48 then y=. ......

a)

24

b)

16

c)

8

d)

48

79.

If HCF (16,y)=8,LCM(16,y)=8 then value of y is

a)

16

b)

8

c)

48

d)

24

80.

IF the LCM (77,99)=693 and H CF (77,99) is

(a)

81.

Which of the following is not a terminating decimal

a)

23/32

b)

41/75

c)

41/50

d)

23/2³5²

82.

p/q form of the decimal 0.875 is

a)

7/8

b)

25/31

c)

7/12

d)

6/7

83.

The unit digit in 6¹²⁵ is

a)

1

b)

5

c)

6

d)

0

84.

Which of the following is an example of an irrational number?

a)

-2/3

b)

.75575557654..

c)

23

d)

0

85.

Which of the following is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non terminating and non-recurring decimals.

c)

They are fractions.

d)

They are natural numbers.

86.

Which statement is NOT true?

a)

0.121212… is a rational number.

b)

0.34353637 is an irrational number.

c)

8.14 is a rational number.

d)

5.12345… is an irrational number.

87.

To convert a whole number into a rational number put it over_________

a)

10

b)

0

c)

1

d)

100

88.

Which of the following statements is true?

a)

Every rational number is an integer

b)

Every whole number is a natural number

c)

Every integer is a whole number

d)

Every whole number is a rational number

89.

Out of the given numbers , which number is a natural, whole, integer, rational, and real number ?

a)

-4

b)

5.1

c)

0.7

d)

3

90.

$\frac{3}{5+2\sqrt{3}}$ can be expressed with rational denominator as ________________________ ?

a)

$\frac{15\ -\ 6\ \sqrt{3}}{13}$

b)

$\frac{15\ -6\sqrt{3}}{37}$

c)

$\frac{6\sqrt{3\ }\ -15}{13}$

d)

$\frac{6\sqrt{3}\ -15}{37}$

91.

What is the value of $3^{-3}$ ?

a)

27

b)

$\frac{1}{27}$

c)

-27

d)

$\frac{-1}{27}$

92.

What is the value of (3 - √3) (2 - √2) ?

a)

6 - √6

b)

6 -2√3 - 3√2 + √6

c)

6 + √6

d)

6 -2√3 - 3√2 - √6

93.

What is the value of 5√3 × √12 ?

a)

30

b)

6

c)

√180

d)

15√12

94.

√5 is an irrational number. Which of the following operations on it will give a rational number?

a)

Multiplying by $\sqrt{5}$ and then adding $\sqrt{5}$ .

b)

adding $\sqrt{5}$ and then multiplying by $\sqrt{5}$ .

c)

adding $\frac{1}{\sqrt{5}}$ to it.

d)

multiplying it by $\sqrt{9}$

95.

Which of the following is the symbol used to denote the collection of rational numbers ?

a)

N

b)

Z

c)

W

d)

Q

96.

What is the product of 6 $\sqrt{5}$ and 2 $\sqrt{5}$ ?

a)

12 $\sqrt{5}$

b)

60

c)

4 $\sqrt{5}$

d)

3

97.

Which of the following gives a rational number ?

a)

$\pi\ +2$

b)

$\pi\times\pi$

c)

$\pi-\ 2$

d)

$\pi\times0$

98.

Bar Notation is...

a)

a way to show repeating numbers after a decimal point and is easier than writing the same repeating number and over again.

b)

a bar used for terminating decimals to show where the decimal ends or terminates.

99.

-4/9

a)

Terminating

b)

Repeating

100.

-5/6

a)

Terminating

b)

Repeating

101.

9/10

a)

Terminating

b)

Repeating

102.

7/11

a)

Terminating

b)

Repeating

103.

Express 0.0636363... using bar notation.

a)

b)

c)

d)

104.

Express 10.127777... using bar notation.

a)

b)

c)

d)

105.

Which decimal shown below is equivalent to the fraction/mixed number shown above? Use bar notation if necessary. Watch for negatives!

a)

b)

c)

d)

e)

106.

Which fraction/mixed number shown below is equivalent to the decimal shown above? Make sure your answer is in simplest form. Watch for negatives! Say it, write it, simplify it!

a)

b)

c)

d)

e)

107.

Which fraction/mixed number shown below is equivalent to the decimal shown above? Make sure your answer is in simplest form. Watch for negatives! Say it, write it, simplify it!

a)

b)

c)

d)

e)

108.

Which decimal shown below is equivalent to the fraction/mixed number shown above? Use bar notation if necessary. Watch for negatives!

a)

b)

c)

d)

e)

109.

What is .8 in fraction form?

a)

4/3

b)

4/5

c)

8/100

d)

8/1000

110.

Complete the statement using >, <, or =
$5\frac{3}{11}$ ___________ $5.\overline{27}$

a)

>

b)

<

c)

=

111.

Complete the statement using >, <, or =.
-2.2 ________ $-2.\overline{2}$

a)

>

b)

<

c)

=

112.

Write $-12\frac{7}{9}$ as a decimal. Determine if the decimal terminates or repeats.

a)

$-12.7$ ; terminates

b)

$-12.\overline{7}$ ; terminates

c)

$-12.7$ ; repeats

d)

$-12.\overline{7}$ ; repeats

113.

The product of two irrational number is always_____

a)

An irrational number

b)

A rational number

c)

Sometimes rational, sometimes irrational

d)

An integer

114.

Classify the polynomial:

4x² + 2x - 1

a)

Polynomial

b)

Binomial

c)

Trinomial

d)

Monomial

115.

Classify the polynomial:

5x³y²

a)

Binomial

b)

Trinomial

c)

Uninomial

d)

Monomial

116.

(3x² + 4x - 2) - (5x + 7)

a)

3x² - x - 9

b)

2x² - 9

c)

3x² + 9x - 5

d)

3x² - x + 5

117.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

118.

Find the product.

5x(2x + 3)

a)

10x²+ 15x

b)

7x + 15x

c)

7x² + 8x

d)

25x²

119.

Find the product
(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

120.

Find the product
(x - 3)(x +10)

a)

x² - 7x + 13

b)

x² - 6x - 30

c)

x² + 7x - 30

d)

x² + 13x + 30

121.

What is the degree classification of this polynomial?
x²+4x-8

a)

binomial

b)

trinomial

c)

quadratic

d)

cubic

122.

Which is an example of a linear polynomial?

a)

x²-5

b)

6x+4

c)

5x⁵

d)

2x³-9x²

123.

The number in front of the variable is called the....

a)

exponent

b)

base

c)

coefficient

d)

fronter

124.

If x-2 is a factor of x²+5x+7, then that means.....

a)

f(0) = 2

b)

f(0) = -2

c)

f(2) = 0

d)

f(-2) = 0

125.

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.

126.

Which one is written in Standard form

a)

4 + 5b³

b)

4n³ - n + 6n²

c)

2a² + 9

d)

2h⁵ - 5h³ - 8 + 3h

127.

The following polynomial is written in standard form:
7x³ - 11x² + 8x - 5

a)

True

b)

False

128.

Give the correct name for
2x³

a)

Binomial

b)

Trinomial

c)

Polynomial

d)

Monomial

129.

What is the degree of the polynomial 5x³ + 7x + 5

a)

0

b)

1

c)

2

d)

3

130.

What is the CONSTANT of this polynomial?

2x³- 8x²+ 3x - 7

a)

2

b)

-8

c)

3

d)

-7

131.

Solve n⁴-49n²=0

a)

0, 7

b)

0, -7, 7

c)

0, -7

d)

7, -7

132.

Factor
81m² - 1

a)

not factorable

b)

(m-9)(m+9)

c)

9m(9m-1)

d)

(9m-1)(9m+1)

133.

What is the name for this polynomial? 3z

a)

Constant Monomial

b)

Linear Binomial

c)

Linear Monomial

d)

Bionic Monomial

134.

What is the name for this polynomial? 2x² + 3x - 1

a)

Quadratic Trinomial

b)

Linear Binomial

c)

Quartic Trinomial

d)

Quintic Trinomial

135.

What is the name of this polynomial? 4x³ - 2x² + 7x - 3

a)

Septic Polynomial with Four Terms

b)

Quadratic Polynomial with Four Terms

c)

Quintic Polynomial with Four Terms

d)

Cubic Polynomial with Four Terms

136.

What is the name of this polynomial? 3

a)

Constant Monomial

b)

Linear Monomial

c)

Quartic Monomial

d)

Cubic Monomial

137.

If a polynomial is considered linear, its degree is...

a)

2

b)

3

c)

1

d)

98

138.

If a polynomial is a constant, its degree is...

a)

1

b)

0

c)

-1

d)

98

139.

Consider the polynomial p(x) = 5x³ – 2x² + 3 x – 2.

p(1)=

a)

-4

b)

4

c)

3

d)

none of these

140.

Find a zero of the polynomial p(x) = 2x + 1.

a)

1/2

b)

0

c)

-1/2

d)

none of these

141.

Find the remainder obtained on dividing p(x) = x³ + 1 by x + 1.

a)

0

b)

1

c)

2

d)

3

142.

Check whether the polynomial

q(t) = 4t³ + 4t ² – t – 1 is a multiple of

2t + 1.

a)

no

b)

cannot be determined

c)

yes

d)

none of these

143.

1.

Find the remainder when

x³ – ax² + 6 x – a is divided by x – a.

a)

a

b)

2a

c)

-5a

d)

5a

144.

Find the value of k, if x – 1 is a factor of 4x³ + 3x² – 4x + k.

a)

3

b)

0

c)

-3

d)

none of these

145.

Divide the polynomial 3x⁴ – 4x³ – 3x –1 by x – 1.

remainder is?

a)

5

b)

3

c)

-5

d)

2

146.

What are the factors of
25x² - 81?

a)

(5x - 9)(5x + 9)

b)

(5x - 9)(5x - 9)

c)

(5x + 9)(5x + 9)

d)

Cannot be factored

147.

For the term x² the x is called the

a)

base

b)

exponent

c)

degree

d)

term

148.

For the term x² the 2 is known as the ?

a)

base

b)

cube

c)

exponent

d)

coefficient

149.

how do you say x²?

a)

x cubed

b)

x squared

c)

x two

d)

x men

150.

How do you say x³ ?

a)

x squared

b)

x cubed

c)

x three

d)

x wife

151.

x⁰=

a)

0

b)

x

c)

1

d)

xoxo

152.

If 1 is a zero of the polynomial p(x) = ax²– 3(a – 1) x – 1, then find the value of a.

a)

1

b)

0

c)

2

d)

3

153.

Graph of a quadratic polynomial is a

a)

straight line

b)

circle

c)

parabola

d)

ellipse

154.

If α and β are zeroes of the quadratic polynomial x² – 6x + a; find the value of ‘a’ if 3α + 2β = 20.

a)

8

b)

-2

c)

-16

d)

16

155.

If one zero of the polynomial (a² + 9) x² + 13x + 6a is reciprocal of the other, find the value of ‘a’.

a)

3

b)

-3

c)

2

d)

0

156.

The degree of the polynomial (x + 1)(x² – x – x⁴ +1) is:

a)

2

b)

3

c)

4

d)

5

157.

If the zeroes of the quadratic polynomial x² + (a + 1)x + b are 2 and –3, then

a)

a = –7, b = –1

b)

a = 5, b = –1

c)

a = 2, b = – 6

d)

a = 0, b = – 6

158.

If sum of the squares of zeroes of the quadratic polynomial 6x² + x + k is 25/36, the value of k is:

a)

4

b)

-4

c)

2

d)

-2

159.

If (x + 1) is a factor of x²− 3ax +3a − 7, then the value of a is:

a)

1

b)

-1

c)

0

d)

-2

160.

√3 is a polynomial of degree:

a)

2

b)

0

c)

1

d)

1/2

161.

If y⁹⁷ + 97 is divided by y + 1, the remainder is:

a)

0

b)

1

c)

95

d)

96

162.

The value of 99² - 98² is:

a)

1

b)

197

c)

200

d)

207

163.

if p(x)=x+3 then p(x) + p(-x)

a)

0

b)

6

c)

10

d)

13

164.

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10

a)

0

b)

2x-10

c)

-2x-10

d)

2x+10

165.

Is (x-4) a factor of (x³ +x² -16x-16)?

a)

YES

b)

NO

166.

What is the remainder when a³ - 4 is divided by a+2?

a)

-2

b)

-6

c)

-12

d)

0

167.

if f(x) = 3x² -9x -20, find the value of f(5).

a)

0

b)

10

c)

15

d)

-7

168.

find the value of k when x³-2kx²+3x-1 is divided by x-1 and the remainder is -3

a)

3

b)

-3

c)

2

d)

6

169.

If α,β be the zeros of the quadratic polynomial 2 - 3x - x², then α + β = _____

a)

2

b)

- 3

c)

1

d)

None of the above

170.

find the sum and the product of zeroes of 3x² - 5x+ 6

a)

5/3 , 2

b)

2/9 , 6

c)

3/8 , 10

d)

6/12 , 5

171.

find a quadratic polynomial whose zeroes are 〈2 + √5〉 / 2 and 〈2- √5〉/2

a)

x^²- 3x -4/5

b)

x² - 2x - 1/4

c)

x³- 4x - 8/10

d)

x³- 8x - 5/7

172.

2(2x + 1) + 8x - 3

a)

12x -1

b)

12x - 5

c)

12x + 1

d)

12x + 6

173.

2(2x + 1) + 8x - 3

a)

12x -1

b)

12x - 5

c)

12x + 1

d)

12x + 6

174.

The degree of the product of a quadratic and a cubic polynomial is equal to

a)

2

b)

3

c)

6

d)

7

175.

A quadratic polynomial whose one zero is 6 and sum of the zeroes is 0, is

a)

x² – 6x + 2

b)

x² – 36

c)

x² – 6

d)

x² – 3

176.

find the zeroes of the polynomial f (x) = 2-x²

a)

√2 and -√2

b)

√5 and √-8

c)

√9 and √12

d)

√6 and √21

177.

if the product of zeroes of the polynomial ax² - 6x - 6 is 4 , find the value of a

a)

-3/2

b)

8/10

c)

-1/2

d)

2/3

178.

If α,β are the zeros of the polynomial, x²-px +36 and α² + β² = 9, then what is the value of p?

a)

6

b)

3

c)

9

d)

8

179.

$2k\left(-3k+4\right)\ +\ 6\left(k^2\ +\ 10\ \right)\ =\ k\left(4k+8\right)-\ 2k\left(2k+5\right)$

a)

k=9/2

b)

k= - 6

c)

k = 6

d)

k = 10

180.

What is the degree?

a)

Positive

b)

Negative

c)

Odd

d)

Even

181.

Find the zeroes .

a)

x = 3

b)

x = {-3, -1, 2}

c)

x = {-3, 2}

d)

x = -1

182.

Which of the following is not the graph of a quadratic polynomial ?

a)

b)

c)

d)

183.

A quadratic polynomial, whose zeroes are – 3 and 4, is

a)

$x^2\ -\ x\ +\ 12$

b)

$x^2\ +\ x\ +\ 12$

c)

$\frac{x^2}{2}\ -\ \frac{x}{2}\ -\ 6$

d)

$2x^2\ +\ 2x\ -\ 24$

184.

If the zeroes of the quadratic polynomial x²+ (a + 1) x + b are 2 and –3, then (a, b) is

a)

(-7, -1)

b)

(5, -1)

c)

(2, -6)

d)

(0, -6)

185.

The zeros of the quadratic polynomial x² + 88x + 125 are

a)

both positive

b)

both negative

c)

one positive and one negative

d)

both equal

186.

If the sum of the zeros of the quadratic polynomial $kx^2+2x+3k$ is equal to the product of its zeros then $k$ = ?

a)

$\frac{1}{3}$

b)

$\frac{-1}{3}$

c)

$\frac{2}{3}$

d)

$\frac{-2}{3}$

187.

If the sum of the zeros of the quadratic polynomial $kx^2+2x+3k$ is equal to the product of its zeros then $k$ = ?

a)

$\frac{1}{3}$

b)

$\frac{-1}{3}$

c)

$\frac{2}{3}$

d)

$\frac{-2}{3}$

188.

If $\alpha,\beta$ are the zeroes of the polynomial $2x^2+5x+k$ such that $\alpha^2+\beta^2+\alpha\beta=\frac{21}{4}$ then $k$ = ?

a)

3

b)

- 3

c)

- 2

d)

2

189.

Is this division problem worked correctly?

a)

This is correct!

b)

This is incorrect!

190.

Find the Quotient

(2x³ - 5x² - 3x + 7) / (x - 2)

a)

2x²- 9x +15 - 3/(x -2)

b)

2x² - x - 5 - 3/(x - 2)

c)

2x² - 9x - 21 + 3/(x - 2)

d)

2x² + x + 5 - 3/(x - 2)

191.

Which of the following is a polynomial?

a)

$x^2-5x+4\sqrt{x}$

b)

$2+\sqrt{x+\frac{1}{x}}$

c)

$\sqrt{2}x^2+\sqrt{64x}\ -x^{100}$

d)

$1\ and\ 3$

e)

None of these

192.

In the polynomials 5x² + 6x + 2, a =?

a)

5

b)

6

c)

2

d)

30

193.

In the polynomials 4x² + 6x - 2, c =?

a)

2

b)

-2

c)

6

d)

4

194.

Factor: x³+ 1

a)

(x + 1)³

b)

(x+1)(x²- x + 1)

c)

(x - 1) (x² + x - 1)

d)

(x + 1)(x² - 2x + 1)

195.

Solve for the values of x:

(2x - 1)(x + 4) = 0

a)

x = 1/2, -4

b)

x = 1/2, 4

c)

x = 2, -4

d)

x = -2 4

196.

What is the greatest common factor(HCF)_ of 30x and 56x²

a)

4x

b)

6x

c)

2x

d)

x

class 10 revision (real numbers and polynomials)

Total questions: 196

Worksheet time: 2hrs 44mins

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