Mathematics

Q.

Write formula of finding selling and cost price when profit or loss percent is given.

Q.

$\text{A dealer gets Rs. 56 less if instead of selling a chair at again of}15\%,\text{it is sold at a gain of}8\%.\text{Find the cost price of the chair.}$

Q.

A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer? (Hint: Do you need to do both the multiplications?)

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Q.

Why do we use average ? Are there any limitations to their use? Illustrate with your example related to development?

Q.

Prove that the diagonals of a rectangle are of equal length.

Q.

Why $\pi$ is irrational and $\frac{22}{7}$ is rational?

Q.

What is the formula for ${\left(a+b\right)}^3$?

Q.

Middle term break

Q.

The image formed by a plane mirror is always:

1. Real and erect

2. Virtual and erect

3. Real and inverted

4. Virtual and inverted

Q. If $\frac{3}{5}$ of a number exceeds its $\frac{2}{7}$ by 44, find the number. [4 MARKS]

Q.

$A$ and $B$ can do a piece of work in $12$ days, $B$ and $C$ in $15$ days and $C$ and $A$ in $20$ days. How much time will $A$ alone take to finish the job?

Q.

The multiplication of two irrational numbers is always an irrational number.

1. False

2. True

Q.

$A$ and $B$ can together finish a work in $30$ days. They worked together for $20$ days and then $B$ left. After another $20$ days, $A$ finished the remaining work. In how many days $A$ alone can finish the job?

1. $40$

2. $54$

3. $60$

4. $59$

Q.

Divide the sum of $\frac{13}{5}$ and $\frac{-12}{7}$ by the product of $\frac{-31}{7}$ and $\frac{1}{-2}$

Q.

Solve $11x+15y+23=0,7x-2y-20=0$ by elimination method

Q.

Factorize by splitting the middle term:

1. 

2. 

3. 

4. 

Q.

In a school, $\frac{5}{8}$ of the students are boys. If there are 240 girls, find the number of boys in the school.

Q.

Convert $\frac{1}{6}$ to percentage.

Q.

Is pi a rational or irrational number?

Q.

$\text{Insert five ratinal numbers between}\frac{3}{5}and\frac{2}{3}.$

Q.

All the maths formulas for mensuration

Q.

Sum of two irrational numbers is always irrational.

1. a^mn

2. a^m/n

Q.

Every rational number is an integer. Why or why not? Give example

Q.

A two-digit number is 3 more than 4 times the sum of its digits.If 18is added to the number, its digits are reversed.Find the number.

(Answer:35)

Q.

The sum of two numbers is $95$ if one exceeds the other by $15$. Find the numbers.

Q.

Solve the equation:$\frac{2x}{3}+1=\frac{7x}{15}+3$

Q.

Express $140$ as a product of its prime factor.

Q.

After reading 7 by 9 of a book, 40 pages are left.How many pages are there in the book?

Q.

Verify $a–(–b)=a+b$ for the following values of $a$and $b$.

$a=21,b=18$