# Free Integers 01 Practice Test - 6th grade

### Question 1

A building has 20 stairs above ground level and 20 stairs below ground level. If you are standing at the 16^{th} step below ground level, then how will you represent it mathematically?

You are at +16^{th} step.

You are at -16^{th} step.

You are at -4^{th} step.

You are at 4^{th} step.

#### SOLUTION

Solution :B

When we compare the stairs to a vertical number line, the ground level can be taken as zero,the stairs above the ground level are considered as positive integers and the stairs below the ground level are considered as negative inetgers. So, if you are standing at the 16

^{th}step below ground level then, we can say that you are at -16^{th}step.

### Question 2

Choose the correct option:

Statement 1: Zero is less than every negative integer.

Statement 2: Zero is more than every positive integer.

Statement 1 is true and statement 2 is false.

Statement 1 is false and statement 2 is true.

Both statements are false.

Both statements are true.

#### SOLUTION

Solution :C

On any number line, integers that are on the left side of a number are less than that integer.

All negative integers are on the left of 0 on a number line. So zero should be greater than all negative integers.

So, Statement 1 is false.

Positive integers lie on the right of 0 on a number line. So zero should be less than all positive integers.

So, Statement 2 is also false.

### Question 3

-5 is

#### SOLUTION

Solution :All positive integers are greater than negative integers. So -5 is lesser than +5

### Question 4

If we want to mark +3 on a number line, we will move 3 units to the right side of zero on the number line.

True

#### SOLUTION

Solution :A

For positive values, we move towards the right side of the zero and for negative values, we move towards the left side of the zero, on the number line. So for marking +3, which is a positive integer, we have to move 3 steps towards the right side of zero.

### Question 5

On a number line, integers are marked at __________.

Unequal intervals.

Irregular intervals.

Exactly equal intervals

Randomly

#### SOLUTION

Solution :C

On a number line, all integers are marked at equal intervals.

### Question 6

The temperature 26∘C above 0∘C and 13∘C below 0∘C can be represented as-

-26∘C and +13∘C

+26∘C and -13∘C

-26∘C and -13∘C

+26∘C and +13∘C

#### SOLUTION

Solution :B

The temperature 26∘C above 0∘C can be represented as +26∘C and the temperature 13∘C below 0∘C can be represented as -13∘C.

### Question 7

If profit is represented by '+' sign and loss is represented by '-' sign (as both are opposite situations) then, how will you represent a profit of Rs.109 and a loss of Rs.901?

-Rs.109 and +Rs.901 respectively.

-Rs.109 and -Rs.901 respectively.

+Rs.109 and +Rs.901 respectively.

+Rs.109 and -Rs.901 respectively.

#### SOLUTION

Solution :D

A profit of Rs. 109 is represented as +Rs.109.

A loss of Rs. 901 is represented as -Rs.901.

### Question 8

Fractions

Any random number

Negative numbers

Non-integers

#### SOLUTION

Solution :C

The only thing left was negative numbers, which is a part of Integers.

### Question 9

What are integers?

Set of all natural numbers and their negatives, including 0.

Set of all natural numbers and 0.

Set of all natural numbers and their negatives.

Set of all whole numbers only.

#### SOLUTION

Solution :A

Integers include all natural numbers, their negatives and 0.

### Question 10

Integers comprise of

All whole numbers

All natural numbers

All negative numbers

All Fractions

#### SOLUTION

Solution :A, B, and C

Integers comprise of all natural numbers and their negatives, including 0. All natural numbers, whole numbers and negative numbers are subsets of integers.