Free Printable Number System

1.

Find three rational numbers between $\frac{8}{11}$ and $\frac{10}{11}$ .

a)

$\frac{17}{22}$ , $\frac{9}{11}$ , $\frac{19}{22}$

b)

$\frac{8.5}{11}$ , $\frac{10}{11}$ , $\frac{9.5}{11}$

c)

$\frac{51}{176}$ , $\frac{19}{44}$ , $\frac{59}{176}$

d)

$\frac{9}{22}$ , $\frac{17}{22}$ , $\frac{19}{22}$

2.

Which of the following is not a rational number.

a)

-100

b)

1

c)

100

d)

0

3.

Which of the following is true.

a)

All rational numbers are whole number

b)

All whole numbers are rational

c)

All rational numbers are integers

d)

All rational numbers are natural numbers

4.

In which of the following cases, remainder never becomes zero.

a)

$\frac{121}{11}$

b)

$\frac{256}{12}$

c)

$\frac{345}{25}$

d)

$\frac{256}{16}$

5.

1.6666 expressed in $\frac{p}{q}$ form is.

a)

$\frac{100}{15}$

b)

$\frac{100}{30}$

c)

$\frac{100}{60}$

d)

$\frac{100}{90}$

6.

Multiply $5\ \sqrt[]{10\ }$ by $7\ \sqrt[]{10\ }$

a)

3500

b)

$35\ \sqrt[]{10}$

c)

3.5

d)

350

7.

Simplify $\left(4+\ \sqrt[]{8}\right)\left(7+\ \sqrt[]{11}\right)$

a)

$28+4\ \sqrt[\ ]{11}\ +\ 7\ \sqrt[]{8}\ +\ \sqrt[]{88}$

b)

$28\ +\left(\sqrt[]{8}\ \ \sqrt[]{11}\right)$

c)

$4\ \sqrt[]{11}\ \ +\ 7\ \sqrt[]{8}$

d)

$28\ +\ \ \sqrt[]{88}$

8.

Identify the wrong identity among the following Law of Exponents for real numbers.

a)

$a^m\ .\ a^n\ =\ a^{m+n}$

b)

$\left(a^m\right)^{n\ }\ =\ a^{mn}$

c)

$\frac{a^m}{a^n}\ =\ \left(a\right)^{\frac{m}{n}}$

d)

$a^mb^m\ =\ \left(ab\right)^m$

9.

What is the solution of $\frac{9^{\frac{3}{4}}}{9^{\frac{1}{4}}}$

a)

$\frac{3}{16}$

b)

$9^{\frac{3}{16}}$

c)

9

d)

3

10.

If one-third of one-fourth of a number is 15 , then three-tenth of that number is :

a)

35

b)

36

c)

45

d)

54

11.

Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

a)

9

b)

11

c)

13

d)

15

12.

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

a)

3

b)

4

c)

9

d)

Cannot be determined

13.

A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

a)

18

b)

24

c)

42

d)

81

14.

When a number is subtracted from the number 8,12 and 20, the remainders are in continued proportion, Find the number ?

a)

4

b)

3

c)

2

d)

8

15.

1) If the fractions 1/2, 2/3, 5/9, 6/13, and 7/9 are arranged in ascending order of their values, which one will be the fourth?

a)

2/3

b)

6/13

c)

5/9

d)

7/9

16.

The product of two natural numbers is 9222. If they differ by 19 then find out the sum of the number.

a)

205

b)

197

c)

199

d)

193

17.

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is _________.

a)

220030

b)

22030

c)

1220

d)

1250

18.

The number −12/68 lies on which side on a number line?

a)

Right side

b)

Left side

c)

On the center

d)

Can be on either of the sides

19.

The number line for natural numbers is

a)

the line that extends indefinitely on both sides

b)

the line that extends indefinitely to the right, but from 0

c)

the line that extends indefinitely only to the right side of 1

d)

the line that extends indefinitely on both sides, but you can see numbers only between –1, 0 and 0, 1 etc

20.

When the numbers 5/2,12/11,5/4,7/6 are placed on the number line, which of the following will be nearest to 0?

a)

5/4

b)

12/11

c)

7/6

d)

5/2

21.

A number line which consists only integers will consider all the numbers like 1, -61, 8.5, etc.

a)

True

b)

False

22.

-8 is ____ than 99 and -192 is ____ than -9.

a)

greater and smaller

b)

smaller and greater

c)

greater and greater

d)

smaller and smaller

23.

A rational number equivalent to 5/7 is

a)

10/17

b)

21/27

c)

10/14

d)

17/5

24.

A rational number between 1/7 and 2/7 is

a)

1/14

b)

2/21

c)

5/14

d)

5/21

25.

The number 1.7777999... is

a)

a natural number

b)

a whole number

c)

a rational number

d)

an irrational number

Number System

Total questions: 25

Worksheet time: 25mins

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