# Worksheet on Framing a Formula

Practice the questions given in the worksheet on framing a formula.

I. Frame a formula for each of the following statements:

1. The side ‛s’ of a square is equal to the square root of its area A.

2. The selling price ‛x’ of a article is (1 – 1/10) times its marked price ‛y’ after a discount of 10%.

3. The sum ‛s’ of the first ‛n’ natural numbers is half of the product of ‛n’ and the next natural number.

4. The reciprocal of the focal length ‛f’ equals the sum of the reciprocals of the object distance ‛u’ and the image distance ‛v’.

5. The length ‛l’ of the diagonal of a cube is √3 times the length of an edge measuring ‛p’.

6. The temperature of a body in Fahrenheit ‛F’ is 32 more than nine-fifths of the temperature in centigrade ‛C’.

II. Establish an equation for each of the following statements.

1. One-fifth of a number ‛a’ exceeds one-seventh of the number by 2.

2. The fraction obtained by adding ‛m’ to the numerator and also to the denominator of ¾ equals the fraction obtained by subtracting ‛m’ from both the numerator and denominator of 5/6.

3. A father is 30 year older than his son. After 5 years from now, the age of the father will become four times his son’s age. The present age of the son is ‛y’ years.

4. A two-digit number is 7 more than three times the sum of the digits. If ‛a’ is the digit at the tens place and ‛b’ is the digit at the units place, write an equation in a and b.

5. The sum of a number of two digits and the number obtained by reversing the digits, is 99. Write an equation if the digit at the one’s place is ‛a’ and that at the ten’s place is ‛b’.

Answers for the worksheet on framing a formula are given below:

I. 1. s = √A

2.  x = (1 – 1/10)y

3. s = n(n + 1)/2

4. 1/f = 1/u + 1/v

5. l = √3p

6. F = 9/5C + 32

II. 1. a/5 – a/7 = 2

2. 3 + m/4 + m = 5 – m/6 - m

3. 30 + y + 5 = 4(y + 5)

4. 10a + b = 7 + 3(a + b)

5. (10b + a) + (10a + b) = 99

From Worksheet on Framing a Formula to HOME PAGE

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Roman Numerals | System of Numbers | Symbol of Roman Numerals |Numbers

Feb 22, 24 04:21 PM

How to read and write roman numerals? Hundreds of year ago, the Romans had a system of numbers which had only seven symbols. Each symbol had a different value and there was no symbol for 0. The symbol…

2. ### Worksheet on Roman Numerals |Roman Numerals|Symbols for Roman Numerals

Feb 22, 24 04:15 PM

Practice the worksheet on roman numerals or numbers. This sheet will encourage the students to practice about the symbols for roman numerals and their values. Write the number for the following: (a) V…

3. ### Roman Symbols | What are Roman Numbers? | Roman Numeration System

Feb 22, 24 02:30 PM

Do we know from where Roman symbols came? In Rome, people wanted to use their own symbols to express various numbers. These symbols, used by Romans, are known as Roman symbols, Romans used only seven…

4. ### Place Value | Place, Place Value and Face Value | Grouping the Digits

Feb 19, 24 11:57 PM

The place value of a digit in a number is the value it holds to be at the place in the number. We know about the place value and face value of a digit and we will learn about it in details. We know th…