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

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