# Free Integers 02 Practice Test - 6th grade

The temperature of different cities are as follows:
Delhi36CKolkata24CBangalore20CPatna2CShillong2CSrinagar0C
Which city is the coolest?

A. Srinagar
B. Bangalore
C. Kolkata
D. Shillong

#### SOLUTION

Solution : D

The city with the least temperature is the coolest city. Among the given numbers 36 > 24 > 20 > 2 > 0 > -2 .
Hence, the city with least temperature is Shillong i.e.,2C.

If we are at (-7) on the number line and go 9 units to the right, we would reach _____ number on the number line.

A. 2
B. 0
C. (-16)
D. (-1)

#### SOLUTION

Solution : A

In the number line when we move towards right, the value increases.

Consider that we are at (-7) on the number line. If we go 9 units to the right then, we will reach 2 i.e. (-7) + 9 = 2 . Arrange in ascending order:

-1, -11 , 111 , -111 , 11 , 0 , 1

A.

-1 , -11 , 111 , -111 , 11 , 0 , 1

B.

-111 , -11 , -1 , 0 , 1 , 11 , 111

C.

-1 , 11 , 111 , -111 , -11 , 0 , 1

D.

1, -11 , -111 , 111 , 11 , 0 , -1

#### SOLUTION

Solution : B

When considering negative numbers, the bigger the number, smaller is its value.
So, -111 is less than -11.
Similarly, -11 is less than -1.
Hence, among the given numbers, -111 is the smallest and 111 is the biggest number.
Ascending order of numbers is the arranging of numbers from smallest to largest.
So, the given numbers in ascending order is -111, -11, -1, 0, 1, 11, 111.

The greatest negative integer is ____ and the smallest positive integer is _____.

A.

+1 and -1

B.

-1 and +1

C.

-1 and -1

D.

+1 and +1

#### SOLUTION

Solution : B

Observe a number line. In negative numbers, as magnitude increases, value decreases.
Therefore, the largest negative integer is -1.

Similarly, in positive numbers, as magnitude increases, value increases.
Therefore, the smallest positive integer is 1.

Which of the following integers are less than -9?

A.

0, -1 ,-11 ,9 ,-9 ,99 ,-99 ,999 ,-999

B.

-8, -7, -6, -5, -4, -11, -12, -13, -14

C.

100, 1010,11, 1, 12, 122, 1222, 121212, 3

D.

-11, -12, -151, -121, -11111, -12121212, -1345, -1111123

#### SOLUTION

Solution : D

-10,-11,-12,-13,-14,,-15,-16,-17,-18,-19,-20.......and so on are less than -9.
Hence, from the given options

-11, -12, -151, -121, -11111, -12121212, -1345, -1111123 are all less than -9.

Five negative integers greater than -10 are:

A.

-11, -12, -13, -14, -15

B.

-9, -8, -7, -11, -12

C.

-6, -5, -4, -3, -2

D.

0, 1, 2, 3, -14, -13

#### SOLUTION

Solution : C

-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6............ and so on, are greater than -10.

The figure below  represents a vertical number line. Which number does the point 'F' represent ? A. +8
B. -7
C. -8
D. -9

#### SOLUTION

Solution : C

In a vertical number line, the numbers above 0 are positive and the numbers below zero are negative.
Given, point D = +8. We can conclude that each division is 1 unit.
Point F is also 8 units away from '0' and below zero.
Hence the number represented by the point F is -8.

Which of the following integer does not lie between -8 and +6 ?

A. -7
B. +7
C. -5
D. +3

#### SOLUTION

Solution : B

The integers that lie between -8 and +6 are  -7, -6, -5, -4, -3, -2 , -1, 0, 1, 2, 3, 4.

Hence from the given options, we can see that +7 does not lie between -8 and +6.

Statement 1: Zero is a positive number
Statement 2: Zero is a negative number

A.

Statement 1 is true and Statement 2 is false

B.

Statement 1 is false and Statement 2 is true

C.

Both the statements are false

D.

Both the statements are true

#### SOLUTION

Solution : C

Zero is the only number which is neither positive nor negative.

Fill in the blanks:

Farther a number is from 0 on the right, _____ is its value.

Farther a number is from 0 on the left, _____ is its value.

A.

larger, smaller

B.

smaller, larger

C.

no change, smaller

D.

larger, no change

#### SOLUTION

Solution : A

As you move towards the right on the number line, the value increases and as you move towards the left on the numberline, the value decreases.

Hence,

farther a number is from 0 on the right, larger is its value.
Farther a number is from 0 on the left, smaller is its value.