Free Printable roots and rational no.s

1.

All integers are also

a)

natural numbers

b)

whole numbers

c)

Rational numbers

d)

none

2.

-1/2 is a

a)

natural number

b)

whole number

c)

rational number

d)

none

3.

Additive inverse of 2/5 is

a)

-1/2

b)

-2/5

c)

5/2

d)

0

4.

Multiplicative inverse of 2/5 is

a)

2/5

b)

5/2

c)

-2/5

d)

-5/2

5.

which is not define

a)

1/5

b)

0/4

c)

100/0

d)

5/6

6.

2/3 × -6/5

a)

3/2

b)

6/5

c)

-4/5

d)

none

7.

Associative property under addition

a)

a+(b+c) =(a+b)+c

b)

a-(b-c)= (a-b)-c

c)

(a×b)×c =a ×(b×c)

d)

a÷(b÷c)= (a÷b)÷c

8.

1 ×.......... = 11/9

a)

9/11

b)

11/9

c)

1

d)

-11/9

9.

2/3 +.......=0

a)

2/3

b)

-2/3

c)

3/2

d)

-3/2

10.

2/5 + 3/5

a)

1

b)

0

c)

2/3

d)

3/5

11.

A number of the form p/q is said to be a rational number if

a)

p and q are integers

b)

p and q are integers and p is not equal to zero.

c)

p and q are integers and q is not equal to zero.

d)

and q are integers and p and q both are not equal to zero.

12.

-(-x) is same as

a)

-x

b)

x

c)

1/x

d)

-1/x

13.

Addition is associative for

a)

Natural numbers

b)

Whole numbers

c)

Rational numbers

d)

All of these

14.

Between any two rational numbers, there lie

a)

two rational numbers

b)

no rational number

c)

infinite rational numbers

d)

infinite fractions

15.

If x be any rational number, than x+0 is

a)

-x

b)

0

c)

x

d)

1/x

16.

Reciprocal of x is

a)

-x

b)

1/x

c)

x+1

d)

x

17.

If y be the reciprocal of rational number x, then the reciprocal of y will be

a)

x

b)

y

c)

x/y

d)

y/x

18.

Additive identity of rational numbers is

a)

1

b)

-1

c)

x

d)

0

19.

Rational numbers are not closed under

a)

Subtraction

b)

Division

c)

Addition

d)

Multiplication

20.

The additive inverse of a/b is

a)

-b/a

b)

b/a

c)

a/b

d)

-a/b

21.

Reciprocal of 0 is

a)

1

b)

-1

c)

0

d)

Not defined

22.

1 (one) is

a)

the identity for addition of the rational number

b)

the identity for subtraction of the rational number

c)

the identity for multiplication of the rational number

d)

the identity for division of the rational number

23.

Which of the following is not a rational number?

-2/3 , 1/8 , 0 ,18 , 54

a)

18 and 54

b)

-2/3 and 1/8

c)

0

d)

All are rational numbers

24.

The product of two rational numbers is always a

a)

Natural number

b)

Rational number

c)

Whole number

d)

Integer

25.

Rational numbers are commutative for

a)

Subtraction

b)

Division

c)

Addition and Subtraction

d)

Addition and Multiplication

26.

Which of the following number lies between 0 and 1 on a number line?

a)

$\frac{3}{4}$

b)

$\frac{4}{3}$

c)

$\frac{11}{6}$

d)

$\frac{9}{5}$

27.

Which of the following numbers lies between –1 and – 2 on a number line?

a)

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

b)

$-\frac{7}{5}$

c)

$-\frac{8}{9}$

d)

$-\frac{12}{\ 5\ }$

28.

Which of these is a positive rational number?

a)

$-\frac{5}{6}$

b)

$\frac{5}{-6\ }$

c)

$\frac{0}{6}$

d)

$\frac{-5}{-6\ }$

29.

Which of the following is not equal to

$\frac{3}{5}$

a)

$\frac{30}{50}$

b)

$\ \frac{-9}{-15\ }$

c)

$\ \frac{-\ 3}{-5\ }$

d)

$\frac{-\ 3}{\ 5}$

30.

$When\ \ \frac{-\ 3}{5\ }\ is\ written\ as\ a\ rational\ number\ \ with\ numerator\ 9\ \ the\ deno\min ator\ would\ be\$

a)

15

b)

-15

c)

14

d)

12

31.

Which of the following is not a rational number

a)

$-\frac{13}{7\ }$

b)

$\frac{0}{7}$

c)

$\frac{-\ 8}{0}$

d)

$2$

32.

Express in standard form

\frac{84}{-240\ }

a)

$\frac{-\ 84}{240}$

b)

$\frac{-\ 21}{60}$

c)

$\frac{-\ 7}{20\ }$

d)

$\frac{7}{-20}$

33.

What\ is\ the\ rational\ number\ equivalent\ to\ \frac{-5}{7\ }\ with\ numerator\ 25\ .

a)

$\ \frac{-\ 25}{\ 35}$

b)

$\frac{-\ 25}{7}$

c)

$\frac{25}{35}$

d)

$\frac{25}{-35}$

34.

Which one is the greatest :

a)

$\frac{\left(-8\right)}{9}$

b)

$\frac{\left(-7\right)}{9}$

c)

$\frac{\left(-10\right)}{9}$

d)

$\frac{\left(-3\right)}{9}$

35.

8²

a)

16

b)

8

c)

64²

d)

64

36.

√169

a)

13

b)

14

c)

13²

d)

14²

37.

Is 12 a perfect square?

a)

Yes

b)

No

38.

What is the square root of 169/225

a)

13/15

b)

-13/15

c)

13/15, -(13/15)

39.

√200 is between

a)

13 and 14

b)

15 and 16

c)

14 and 15

d)

11 and 12

40.

Evaluate:
√25 + √81

a)

86

b)

15

c)

17

d)

14

41.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

9 cm

d)

9 cm

42.

If you have 196 chairs and you need to arrange them in an equal amount of row and columns, how many chairs will be in each row?

a)

12

b)

13

c)

14

d)

15

43.

Which statement is NOT true?

a)

√169 = 13

b)

15² = 225

c)

4² = √16

d)

√164 = 18

44.

The value of √155 is between what two consecutive whole numbers?

a)

11 and 12

b)

144 and 169

c)

121 and 169

d)

12 and 13

45.

What is the square root of 169/225

a)

13/15

b)

-13/15

c)

13/15,

46.

√200 is between

a)

13 and 14

b)

15 and 16

c)

14 and 15

d)

11 and 12

47.

Evaluate:
√25 + √81

a)

86

b)

15

c)

17

d)

14

48.

If you have 196 chairs and you need to arrange them in an equal amount of row and columns, how many chairs will be in each row?

a)

12

b)

13

c)

14

d)

15

49.

The value of √155 is between what two consecutive whole numbers?

a)

11 and 12

b)

144 and 169

c)

121 and 169

d)

12 and 13

50.

All the following are Perfect Squares except for which one?

a)

81

b)

121

c)

361

d)

198

51.

What is the perimeter of a square with a side of 3?

a)

9

b)

12

c)

6

d)

24

52.

Evaluate √72. Round your answer to the nearest Whole Number.

a)

7.2

b)

7

c)

8

d)

9

53.

−11²

a)

121

b)

-121

c)

22

d)

-22

54.

√-9

a)

3

b)

-3

c)

81

d)

Not possible

55.

A perfect square is when a whole number is multiplied by itself?

a)

FALSE

b)

TRUE

56.

Which is the greatest 4-digit perfect square?

a)

(a) 9999

b)

(b) 9990

c)

(c) 9800

d)

(d) 9801

57.

Which would be the next number in the pattern?
36, 49, 64, 81 __

a)

82

b)

18

c)

64

d)

100

58.

Evaluate.

a)

-12

b)

12

c)

±12

d)

1/12

59.

Evaluate.

a)

5

b)

7

c)

25

d)

49

60.

What would be the side length if you used 49 tiles to create a perfect square?

a)

7 tiles

b)

14 tiles

c)

4 tiles wide and 9 tiles long

d)

3.5 tiles

61.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

62.

Evaluate ∛1

a)

1

b)

2

c)

3

d)

4

63.

Evaluate. 7³

a)

313

b)

323

c)

333

d)

343

64.

$\left(1\frac{2}{3}\right)^3=$

a)

$1\frac{8}{27}$

b)

$\frac{125}{27}$

c)

$\frac{25}{9}$

65.

(a)

66.

$\left(0.05\right)^3=$

a)

0.000125

b)

0.0125

c)

0.125

67.

$\sqrt{1+\frac{15}{49}}=$

a)

2

b)

21

c)

$\frac{5}{2}$

d)

$\frac{8}{7}$

68.

CHALLENGE.

a)

3

b)

62

c)

6

d)

2

69.

Find the cube root of each number: 343

a)

7

b)

9

c)

3

d)

13

70.

Find the value of the following: 7² + 6³ ÷ 2³

a)

216/8

b)

33

c)

74

d)

none of those

71.

List the perfect cubes that are between 100 and 600

a)

64, 125, 216, 343, 512, 729

b)

125, 216, 343, 512

c)

125, 343, 512

d)

125, 216, 512

72.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

73.

What is -9 cubed?

(-9)³

a)

-729

b)

729

c)

27

d)

-27

74.

cube root of 13824

a)

22

b)

24

c)

26

d)

23

75.

find the smallest number which must be divided to obtai the perfect cobe of 704

a)

5

b)

2

c)

3

d)

11

76.

Numbers ending with digits 4,5,6 and 9,their cubes also end with ___digit

a)

Same

b)

Different

77.

If a number ending with digits 2 and their cubes end with ___

a)

2

b)

5

c)

8

d)

7

78.

A perfect cube does not end with two zeroes

a)

True

b)

False

79.

What must be multiplied to 243 so that it becomes a perfect cube?

a)

9

b)

3

c)

6

d)

5

80.

By which number 8192 must be divided so that it becomes a perfect cube?

a)

1

b)

2

c)

3

d)

4

roots and rational no.s

Total questions: 80

Worksheet time: 1hrs 2mins

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