# Free Integers 01 Practice Test - 6th grade

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

A.

You are at +16th step.

B.

You are at -16th step.

C.

You are at -4th step.

D.

You are at 4th 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 16th step below ground level then, we can say that you are at -16th step.

Choose the correct option:

Statement 1: Zero is less than every negative integer.

Statement 2: Zero is more than every positive integer.

A.

Statement 1 is true and statement 2 is false.

B.

Statement 1 is false and statement 2 is true.

C.

Both statements are false.

D.

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.

-5 is ___ +5. Fill the gap with appropriate symbol (mention whether greater than or lesser than or equal to)

#### SOLUTION

Solution :

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

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.

A.

True

B. False

#### 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.

On a number line, integers are marked at __________.

A.

Unequal intervals.

B.

Irregular intervals.

C.

Exactly equal intervals

D.

Randomly

#### SOLUTION

Solution : C

On a number line, all integers are marked at equal intervals. The temperature 26C above 0C  and 13C  below 0C can be represented as-

A.

-26C and +13C

B.

+26C and -13C

C.

-26C and -13C

D.

+26C and +13C

#### SOLUTION

Solution : B

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

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?

A.

-Rs.109 and +Rs.901 respectively.

B.

-Rs.109 and -Rs.901 respectively.

C.

+Rs.109 and +Rs.901 respectively.

D.

+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.  A.

Fractions

B.

Any random number

C.

Negative numbers

D.

Non-integers

#### SOLUTION

Solution : C

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

What are integers?

A.

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

B.

Set of all natural numbers and 0.

C.

Set of all natural numbers and their negatives.

D.

Set of all whole numbers only.

#### SOLUTION

Solution : A

Integers include all natural numbers, their negatives and 0.

Integers comprise of

A.

All whole numbers

B.

All natural numbers

C.

All negative numbers

D.

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.