2 Marks Questions

Question 512 Marks

A shopkeeper sells mangoes in two types of boxes, one small and one large. A large box contains as many as $8$ small boxes plus $4$ loose mangoes. Set up an equation which gives the number of mangoes in each small box. The number of mangoes in a large box is given to be $100.$

Answer

Let a small box contain m mangoes.
According to question,
A large box contains $8$ small boxes i,e, $8m$ mangoes, and $4$ loose mangoes, that is, $8m + 4$ mangoes.
Total mangoes in the large box $= 100.$
Thus, the required equation is, $8m + 4 = 100.$

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Question 522 Marks

Consider the situation: Raju’s father’s age is $5$ years more than three times Raju’s age. Raju’s father is $44$ years old. Set up an equation to find Raju’s age.

Answer

Let Raju’s age be $y$ years.
Three times Raju’s age is $3y$ years.
Raju’s father’s age is $5$ years more than $3y$; that is, Raju’s father is $(3y + 5)$ years old.
It is also given that Raju’s father is $44$ years old.
Therefore, $3y + 5 = 44.$
Which is the required equation and value of $y$ is Raju’s age.

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Question 532 Marks

Write the statement in the form of equation: One third of a number plus $5$ is $8$.

Answer

Let the number be $x.$
Now, one third of $x$ is $\frac{x}{3}$.
This one-third plus $5$ is $\frac{x}{3} + 5.$
This sum is $8.$
Therefore, the required equation is $\frac{x}{3} + 5 = 8.$

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Question 542 Marks

Write the statement in the form of equation: One fourth of m is $3$ more than $7$ in the form of equation.

Answer

Here,
One-fourth of m is $\frac{m}{4}$.
And, It is greater than $7$ by $3.$
This means the difference ($\frac{m}{4} - 7)$ is $3.$
Therefore, the required equation is $\frac{m}{4} - 7 = 3$

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Question 552 Marks

Write the statement in the form of equation: If you subtract $5$ from $6$ times a number, you get $7$ in the form of equation.

Answer

Let us say the number is $p;$
Now, $p$ multiplied by $6$ is $6p.$
Subtracting $5$ from $6p$ is represented as $6z – 5$.
And, the result is $7$.
Thus, the required equation is $6z – 5 = 7$

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Question 562 Marks

Write the statement in the form of equation: The sum of three times $x$ and $11$ is $32$ in the form of equation.

Answer

Here,
Three times $x$ is $3x.$
The sum of $3x$ and $11$ is $3x + 11.$
Thi sum is equal to $32.$
Therefore. the required equation is $3x + 11 = 32.$

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Maths 2 Marks Questions