# Free Integers 02 Practice Test - 6th grade

### Question 1

The temperature of different cities are as follows:

Delhi36∘CKolkata24∘CBangalore20∘CPatna2∘CShillong−2∘CSrinagar0∘C

Which city is the coolest?

#### 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.,−2∘C.

### Question 2

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

#### 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 .

### Question 3

Arrange in ascending order:

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

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

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

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

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.

### Question 4

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

+1 and -1

-1 and +1

-1 and -1

+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.

### Question 5

Which of the following integers are less than -9?

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

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

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

-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.

### Question 6

Five negative integers greater than -10 are:

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

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

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

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.

### Question 7

The figure below represents a vertical number line. Which number does the point 'F' represent ?

#### 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.

### Question 8

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

#### 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.

### Question 9

Statement 1: Zero is a positive number

Statement 2: Zero is a negative number

Statement 1 is true and Statement 2 is false

Statement 1 is false and Statement 2 is true

Both the statements are false

Both the statements are true

#### SOLUTION

Solution :C

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

### Question 10

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.

larger, smaller

smaller, larger

no change, smaller

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.