Worksheet on Direct Variation using Unitary Method

Practice the questions given in the worksheet on direct variation using unitary method.

We know, in direct variation if one increases, other also increases and if one decreases, the other also decreases.

In direct variation: \(\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}}\)

                     or, \(\frac{a_{1}}{b_{1}} = \frac{a_{2}}{b_{2}}\)

For examples of direct variation:

● More working hours, more work will be done.

 Less working hours, less work will be done.

● More goods, more money required to purchase.

Less goods, less money required to purchase.

Read the questions carefully to solve different types of problems based on direct variation using unitary method. Click here to know or learn more about these problems.

1. Shelly bought a dozen pens for $ 144. Find the cost of 15 such pens. How many pens can be bought for $ 84?

2. The cost of 2 kg of onions is $24. What will the cost of 12 kg of onions be?

3. 12 tailors can stitch 15 shirts in a day. How many shirts will be stitched by 28 tailors in a day?

4. A train is moving at a uniform speed of 68 km per hour. How far will it go in 15 minutes?

5. A man is paid $770 for 7 days. If he works for 21 days, how much will he get?

6. In 8 hours, workers fill 960 bottles of cold drinks. How many bottles will be filled in 6 hours.

7. The weight of 56 books is 7 kg.

(a) What is the weight of 90 such books?

(b) How many such books weigh 7.5 Kg?

Answers for the worksheet on direct variation using unitary method are given below to check the exact answers of the above problems.


1. $180, 7 pens

2. $144

3. 35 shirts

4. 17 km

5. $2310

6. 720 bottles

7. (a) 11.25 kg

(b) 60 books

Worksheet on Direct Variation using Unitary Method

Worksheet on Direct variation using Method of Proportion

Worksheet on Word Problems on Unitary Method

Worksheet on Inverse Variation Using Unitary Method

Worksheet on Inverse Variation Using Method of Proportion

7th Grade Math Problems

Math Homework Sheets

From Worksheet on Direct Variation using Unitary Method to HOME PAGE

New! Comments

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.

Share this page: What’s this?

Recent Articles

  1. Fraction as a Part of Collection | Pictures of Fraction | Fractional

    Feb 24, 24 04:33 PM

    Pictures of Fraction
    How to find fraction as a part of collection? Let there be 14 rectangles forming a box or rectangle. Thus, it can be said that there is a collection of 14 rectangles, 2 rectangles in each row. If it i…

    Read More

  2. Fraction of a Whole Numbers | Fractional Number |Examples with Picture

    Feb 24, 24 04:11 PM

    A Collection of Apples
    Fraction of a whole numbers are explained here with 4 following examples. There are three shapes: (a) circle-shape (b) rectangle-shape and (c) square-shape. Each one is divided into 4 equal parts. One…

    Read More

  3. Identification of the Parts of a Fraction | Fractional Numbers | Parts

    Feb 24, 24 04:10 PM

    Fractional Parts
    We will discuss here about the identification of the parts of a fraction. We know fraction means part of something. Fraction tells us, into how many parts a whole has been

    Read More

  4. Numerator and Denominator of a Fraction | Numerator of the Fraction

    Feb 24, 24 04:09 PM

    What are the numerator and denominator of a fraction? We have already learnt that a fraction is written with two numbers arranged one over the other and separated by a line.

    Read More

  5. Roman Numerals | System of Numbers | Symbol of Roman Numerals |Numbers

    Feb 24, 24 10:59 AM

    List of Roman Numerals Chart
    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…

    Read More

Problems Using Unitary Method

Situations of Direct Variation

Situations of Inverse Variation

Direct Variations Using Unitary Method

Direct Variations Using Method of Proportion

Inverse Variation Using Unitary Method

Inverse Variation Using Method of Proportion

Problems on Unitary Method using Direct Variation

Problems on Unitary Method Using Inverse Variation

Mixed Problems Using Unitary Method