Cross multiplication method worksheet contains some practice questions. You can try each questions on your own if you find it difficult to do any problems you can just click the solution link to get clear solution with detailed explanation.

Solve the following system of equations using cross multiplication method

(i)   3 x + 4 y = 24, 20 x - 11 y = 47  Solution

(ii)  0.5 x + 0.8 y = 0.44 , 0.8 x + 0.6 y = 0.5   Solution

(iii) (3x/2) - (5y/3) = -2 , (x/3) + (y/2) = 13/6   Solution

(iv) (5/x) - (4/y) = -2 , (2/x) + (3/y) = 13   Solution

Formulate the following problems as a pair of equations,and hence find their solutions:

(i) One number is greater than thrice the other number by 2. If 4times the smaller number exceeds the greater by 5, find the numbers. Solution

(ii) The ratio of income of two persons is 9:7 and the ratio of their expenditure is 4:3.If each of them manages to save $2000 per month, find their monthly income.  Solution

(iii) A two digit number is seven times the sum of its digits. The number formed by reversing the digits is 18 less than the given number. Find the given number.  Solution

(iv) Three chairs and two tables cost $700 and five chairs and three tables cost $1100.What is the total cost of 2 chairs and 3 tables.  Solution

(v) In a rectangle,if the length is increased and breadth is reduced each by 2 cm then the area is reduced by 28 cm ². If the length is reduced by 1 cm and the breadth is increased by 2 cm,then the area increases by 33cm². Find the area of the rectangle.   Solution

(vi) A train traveled a certain distance at a uniform speed. If the train had been 6 km/hr faster,it would have taken 4 hours less than the scheduled time. If the train were slower by 6km/hr, then it would have taken 6 hours more than the scheduled time. Find the distance covered by the train. Solution

Sets and Functions

Exercise 1.1

Exercise 1.2

Exercise 1.3

Exercise 1.4


Exercise 4.1

Exercise 4.2

Exercise 4.3

Coordinate Geometry



Exercise 11.1

cross multiplication method worksheet  cross multiplication method worksheet

Quote on Mathematics

“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life.  They are: 

It subtracts sadness and adds happiness in our life.    

It divides sorrow and multiplies forgiveness and love.

Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?

Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”