Conversion of Word Statement to Mathematical Statement

Q. In a garden, roses and marigolds are planted in squares plots. The length of the square plot in which marigolds are planted is 6 meters greater than the length of the square plot in which roses are planted. If the perimeter of the square plot of roses is 64 meters then, how much bigger is the area of marigold plot than the rose plot?

1. 200 metres square
2. 225 metres square
3. 228 metres square
4. 235 metres square

Q. Rohan’s mother gave him $₹3x{y}^2$ and his father gave him $₹5(x{y}^2+2)$. Out of this total money he spent $₹(10–3x{y}^2)$ on his birthday party. How much money is left with him?

1. $₹21x{y}^2$
2. $₹31x{y}^2$
3. $₹11x{y}^2$
4. $₹13x{y}^2$

Q.

Twice the difference of a number and $1$is $4$more than that number

Q.

The perimeter of a rectangle is 28x³ + 16x² + 8x + 4. One of its side is 8x²+ 4x. Find the other side.

Answer should be 14x³+2

Q.

I think of a number $x$, subtract $5$ from it , then divide by $3$. The result is greater than $18$ . The correct algebraic statement is

1. $x-5÷3>8$

2. $x-5>\frac{18}{3}$

3. $\frac{x-5}{3}>18$

4. $\frac{x}{3}-5>18$

Q.

When I triple a certain number and add $2$, I get the same answer as I do when I subtract the number from $50$. Find the number.

Q. If two adjacent sides of the rectangle are (7x + 9y) units and (6x - 5y) units long, then the perimeter of the rectangle is_____ units.

1. 4x + 13y
2. 26x + 8y
3. 13x + 8y
4. 26x + 4y

Q. Write a mathematical expression for the given statement.
5 more that 4 times a number is 25

1. 4x = 25
2. 4x + 5 = 25
3. 5x + 5 = 4
4. 5x + 4 = 5

Q. Raghu's father gave him $₹(3xy+x^2)$ and his brother gave him $₹3(2x^2+5xy)$, out of this he spent $₹(x^2+2xy)$ on cricket kits, $₹(x^2+xy)$ on clothes . If x = 2 and y = 3, then find the total amount left with him.

1. ₹210
2. ₹185
3. ₹275
4. ₹268

Q.

Find the equivalent expression of $\left(n+12\right)\times 5+7n$.

Q.

The length of a side of a square is given as 2x+3. write the expression for perimeter of the square

Q. The perimeter of a triangle is $7p^2-2p+6$ units and the length of two of its adjacent sides are $2p^2-2p+3$ units and $3p^2-5p+2$ units. Find the length of the third side of the triangle?

1. ($p^2-5p+1$) units
2. ($2p^2+5p-1$) units
3. ($2p^2+5p+1$) units
4. ($p^2-5p-1$) units

Q.

In an equilateral triangle, length of any side is half the sum of lengths of the other two sides. State true or false.

1. True

2. False

Q. Raj bought 7 mangoes and Aryan bought x mangoes, after sometime Raj ate 2 mangoes, but Aryan bought 2 more mangoes. If both of them bought equal number of mangoes, then the value of x is_____.

1. 5
2. 6
3. 4
4. 3

Q.

Present age of a grandfather is $72$ years, while his grandson's age is $12$ years. After $8$ years, ratio of grandfather's age to grandson's age would be ____.

1. 6:1

2. 5:1

3. 4:1

4. 9:1

Q. Roshan's mother gave him ₹ $(6x^{2}y+6x)$ and his father gave him ₹ $6(x^{2}y+2x+2)$ out of this total money he spent ₹ $3(x^{2}y+x+1)$ on his birthday party. If x = 1 and y = 2, then find the total amount left with him?

1. ₹ 27
2. ₹42
3. ₹33
4. ₹40

Q. The sum of two numbers is 15. It the sum of their reciprocal is $\frac{3}{10}$ then find the difference of the numbers

1. 7
2. 3
3. 5
4. 10

Q.

Tina buys 5 TitTat chocolates which cost ₹x each, 3 Crunch chocolates which cost ₹y each and 10 Marymilk chocolates which cost ₹z each. Later she returns 4 Marymilk but buys 3 more Crunch.

What is the expression that represents the final amount (in ₹)?

1. 5x+6y+6z

2. 5x+3y+10z

3. 3y-4z

4. 5x+3y-4z

Q.

One day Krishnayya and his $10years$ old granddaughter Subbu are having the following conversation:

Subbu : Grandpa, When were you born?
Krishnayya then gave a Mathematical puzzle to his granddaughter to solve.

Grandfather: Kid, I am $8$ more than $6times$ your age by now($2015$).
Subbu started thinking. Being good at Mathematics, Subbu screamed her grandpa's year of birth in less than a minute.
Which year do you think he was born?

___

Q. A car moved at a constant rate along a straight line. Deepak recorded in the chart below the car's distance $\left(x\right)$, in feet, from a reference point at the start of the experiment and for each of $5$ times $\left(t\right)$ , in seconds.

t	0	1	2	3	4	5
x	10	14	18	22	26	30

Which of the following equations represents this data?

1. $x=t+10$
2. $x=4t+6$
3. $x=4t+10$
4. $x=10t+4$
5. $x=14t$

Q.

Alex went for shopping with $5x^2+3xy-y^3$ rupees. He bought a toy for $2x^2+xy$ rupees and spent $2xy-y^3$ rupees on a meal. How much money is he left with?

1. $3x^2$
2. $7x^2+6xy-2y^3$
3. $7x^2+2xy$
4. $3x^2+4xy-2y^3$

Q.

Alex went for shopping with $5x^2+3xy-y^3$ rupees. He bought a toy for $2x^2+xy$ rupees and spent $2xy-y^3$ rupees on a meal. How much money is he left with?

1. $3x^2$
2. $7x^2+6xy-2y^3$
3. $7x^2+2xy$
4. $3x^2+4xy-2y^3$

Q.

The cost of 2 Red balls and 5 Blue balls was found to be ₹ 160. Assume the cost of one red ball be r and cost of one blue ball be b.The correct expression for this situation is

1. 2r + 5 b = 160

2. 3r + 5b = 160

3. 160(r + b) = 2 + 5

4. None of these

Q. Area of a rectangle is $12x^2$ square units. What is the length of the rectangle if the breadth is $3x$ units?

1. $3x$ units
2. $4x$ units
3. $(x+4)$ units
4. 4 units

Q.

Take Sarita’s present age to be $\mathrm{y}\mathrm{years}$. Sarita’s grandfather is $6$ times her age. Her grandmother is two years younger than her grandfather. What is grandmother’s age?

Q. The two adjacent sides of a rectangle are (4x + 2) and (6x - 7), then perimeter of the rectangle is .

1. 10x - 5
2. 5x - 10
3. 20x - 10
4. 10x - 10

Q. The following expressions in statement is given as:
$3m+11$

1. True
2. False

Q. Danny has some apples. Rajesh has 9 apples more than Danny. Manoj says that he has 11 more apples than the number of apples Danny and Rajesh have together. How many apples does Manoj have?

1. $x+20$
2. $2x+20$
3. $x+11$
4. $x+11$

Q. Rohan’s mother gave him ₹ $3x{y}^2$ and his father gave him ₹5($x{y}^2$ + 2). Out of the total amount, he spent $₹(10-3x{y}^2)$ on his birthday party. How much money is left with him?

1. $x{y}^2$
2. $-x^{2}y$
3. $11x{y}^2$
4. $xy$

Q.

Rina’s brother came running to the shop and he asked for 2 more chocolates for him (which costs Rs. y each). What would be the total amount (in Rs.) spent in the market if Rs. (6x + 2y) was spent earlier?

1. (6x + 2y + 2y)

2. (6x + 2y - 2y)

3. (4x + 2y)

4. (6x + 4y)