5 Marks Questions

Question 15 Marks

Find the sum: $(37) + (– 2) + (– 65) + (– 8)$

Answer

The required sum of given numbers is:
$= 37 + (- 2) + (- 65) + (- 8)$
$= 37 – 2 – 65 – 8$
$= 37 – 67 – 8$
$= 37 – 75$
$= - 38$
Therefore, sum is $– 38.$

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Question 25 Marks

Find the sum: $(– 7) + (– 9) + 4 + 16$

Answer

The sum of given numbers is obtained as follows:
$= (- 7) + (- 9) + 4 + 16$
$= - 7 – 9 + 4 + 16$
$= - 16 + 20$
$= 4$
Therefore, sum is $4.$

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Question 35 Marks

Find the sum of :$–50, –200$ and $300$

Answer

$(–50) + (–200) + (300)$
$= (–250) + (300)$
$= (–250) + (250) + (50)$
$= 0 + (50) = 50.$

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Question 45 Marks

Find the sum of :$–312, 39$ and $192$

Answer

$(–312) + (39) + (192)$
$= (–312) + (231)$
$= (–81) + (–231) + (231)$
$= (–81) + 0 = –81$

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Question 55 Marks

Find the sum of :$–52$ and $52$

Answer

$–52 + (52)$
$= 0$

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Question 65 Marks

Use number line and add the integers: $(-2) + 8 + (-4)$

Answer

First, we move $2$ steps to the left of $0$ reaching $-2,$ then from $-2$ we move $8$ steps to the right to reach $+ 6$ and finally from $+ 6$ we move $4$ steps to the left. We reach the point $2.$
Thus, $(-2) + 8 + (-4) = 2.$

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Question 75 Marks

Use number line and add the integers: $(-1) + (-2) + (-3)$

Answer

First, we move $1$ step to the left of 0 reaching $-1,$ then from $-1$ we move $2$ steps to the left to reach $-3$ and finally from $-3$ we move $3$ steps to the left. We reach the point $-6.$
Thus, $(-1) + (-2) + (-3) = -6.$

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Question 85 Marks

Use number line and add the integers: $(-5) + 10$

Answer

First we move $5$ steps to the left of $0$ reaching $-5,$ then from $- 5$ we move 10 steps to the right. We reach the point $+5.$
Thus, $(-5) + 10 = 5.$

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Question 95 Marks

Use number line and add the integers: $(-1) + (-7).$

Answer

On the number line we first move $1$ step to the left of $0$ reaching $-1,$ then we move $7$ steps to the left of $-1$ and reach $-8.$
Thus, $(-1) + (-7) = -8.$

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Question 105 Marks

Use number line and add the integers: $5 + (-11)$

Answer

On the number line we first move $5$ steps to the right from $0$ reaching $5$ and then we move $11$ steps to the left of $5$ to reach $-6.$
Thus, $5 + (-11) = -6.$

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Question 115 Marks

Use number line and add the integers: $9 + (-6).$

Answer

On the number line we first move $9$ steps to the right from $0$ reaching $9$ and then we move $6$ steps to the left of $9$ and reach $3.$
Thus, $9 + (-6) = 3$

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Question 125 Marks

Using number line write the integer which is $3$ less than $-2.$

Answer

We will start from $–2$ and move to the left by $3$ steps to reach $-5$ as shown below :

Therefore, $3$ less than $-2$ is $-5.$

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Question 135 Marks

Using number line write the integer which is $6$ less than $2.$

Answer

Clearly,
$– 8 – (– 10) = – 8 + 10$ as additive inverse of $–10$ is $10.$
On the number line, from – 8 we will move 10 steps towards right,

And we reach at $2.$ Thus, $–8 – (–10) = 2$
Hence, to subtract an integer from another integer it is equivalent to adding the additive inverse of the integer that is being subtracted, to the other integer.

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Question 145 Marks

Using number line write the integer which is $5$ more than $-5.$

Answer

We will start from $-5$ and move to the right by $5$ steps and obtain $0$ as shown below:

Therefore, $5$ more than $-5$ is $0.$

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Question 155 Marks

Using number line write the integer which is $3$ more than $5.$

Answer

We will start from $5$ and proceed $3$ steps to the right of $5$ to reach $8$ as shown below :

Therefore, $3$ more than $5$ is $8.$

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Question 165 Marks

Following is the list of temperatures of five places in India on a particular day of the year.

Place	Temperature
Siachin	$10^\circ C$ below $0^\circ C$	_________
Shimla	$2^\circ C$ below $0^\circ C$	_________
Ahmedabad	$30^\circ C$ above $0^\circ C$	_________
Delhi	$20^\circ C$ above $0^\circ C$	_________
Srinagar	$5^\circ C$ below $0^\circ C$	_________

Write the names of the places where temperatures are above $10^\circ C.$

Answer

We can see that,
There are two places that have recorded the temperatures more than $10^\circ C$.
These places are as follows:
Ahmedabad and Delhi.

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Question 175 Marks

Following is the list of temperatures of five places in India on a particular day of the year.

Place	Temperature
Siachin	$10^\circ C$ below $0^\circ C$	_________
Shimla	$2^\circ C$ below $0^\circ C$	_________
Ahmedabad	$30^\circ C$ above $0^\circ C$	_________
Delhi	$20^\circ C$ above $0^\circ C$	_________
Srinagar	$5^\circ C$ below $0^\circ C$	_________

Which is the coolest place$?$

Answer

We can see that,
The temperature recorded in Siachin is $-10^\circ C,$ which is the lowest.
Hence,
It is the coolest place.

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Question 185 Marks

Following is the list of temperatures of five places in India on a particular day of the year.

Place	Temperature
Siachin	$10^\circ C$ below $0^\circ C$	_________
Shimla	$2^\circ C$ below $0^\circ C$	_________
Ahmedabad	$30^\circ C$ above $0^\circ C$	_________
Delhi	$20^\circ C$ above $0^\circ C$	_________
Srinagar	$5^\circ C$ below $0^\circ C$	_________

Following is the number line representing the temperature in degree Celsius. Plot the name of the city against its temperature.

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Question 195 Marks

Following is the list of temperatures of five places in India on a particular day of the year.

Places	Temperature recorded
Siachin	$10^\circ C$ below $0^\circ C$	_________
Shimla	$2^\circ C$ below $0^\circ C$	_________
Ahmedabad	$30^\circ C$ above $0^\circ C$	_________
Delhi	$20^\circ C$ above $0^\circ C$	_________
Srinagar	$5^\circ C$ below $0^\circ C$	_________

Write the temperatures of these places in the form of integers in the blank column.

Answer

Places	Temperature Recorded
Siachin	$-10^\circ C$
Shimla	$ -2^\circ C$
Ahmedabad	$+30^\circ C$
Delhi	$+20^\circ C$
Srinagar	$-5^\circ C$

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Question 205 Marks

Draw a number line and answer the given statement:
If we are at $– 6$ on the number line, in which direction should we move to reach $– 1?$

Answer

Here from the figure above, we can observe that,
$-1$ is to the right of $-6$
Hence, we should move towards the right direction.

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Question 215 Marks

Draw a number line and answer the given statement:
If we are at $– 8$ on the number line, in which direction should we move to reach $– 13?$

Answer

From the figure we can observe that,
$-13$ is to the left of $-8$
Hence, we should move towards the left direction.

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Question 225 Marks

Draw a number line and answer the given statement:
Which number will we reach if we move $5$ numbers to the left of $1.$

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Question 235 Marks

Draw a number line and answer the given statement:
Which number will we reach if we move $4$ numbers to the right of $– 2.$

Answer

If we move $4$ numbers to the right of $-2,$ then we will reach number $2.$

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Question 245 Marks

Find the value of $– 8 – (–10)$ using number line

Answer

Clearly,
$– 8 – (– 10) = – 8 + 10$ as additive inverse of $–10$ is $10.$
On the number line, from $– 8$ we will move $10$ steps towards right,

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Question 255 Marks

Using the number line, write the integer which is $5$ less than $3.$

Answer

We want to know an integer which is $5$ less than $3: $
We start from $3$ and move to the left by $5$ steps and obtain $–2$ as shown in the figure below:

Therefore, $5$ units less than $3$ is $–2.$

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Question 265 Marks

Using the number line, write the integer which is $4$ more than $–1.$

Answer

We want to know that the integer which is $4$ more than $–1.$
So, we start from $–1$ and proceed $4$ steps to the right of $–1$ to reach $3$ as is shown below:

Hence, $4$ units more than $–1$ is $3$

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MATHS 5 Marks Questions

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