8th Class Linear Equation in one variable

8th Mathematics

Test

 Linear Equation in one variable

1. Two numbers are in the ratio 8:3. If sum of the numbers is 143, find the numbers

2. Four-fifths of a number is 10more than two-thirds of the number. Find the number

3. If 10 be added to four times a certain number, the result is 5less than five times the number. Find the number

4. The width of a rectangle is two-thirds its length. If the perimeter is 180m, find the dimensions of the rectangle

5. Rakhi's mother is four times as old as Rakhi. After 5years, her mother will be three times as she will be then. Find their present ages

6. The length of a rectangle exceeds its breadth by 7cm. If the length is deceased by 4cm and the breadth is increased by 3cm, the area of the new rectangle is the same as the area of original rectangle. Find the length and breadth of the original rectangle

7. The difference between ages of two cousins is 10years. 15years ago, if the elder one was twice as old as the younger one, find their present ages.

8. Find three consecutive even numbers whose sum is 234

9. Twenty four is divided into two parts such that 7times the first part added to 5times the second part makes 146. Find each part

10. Three numbers are in ratio 4:5:6. If the sum of the largest and the smallest equals the sum of the third and 55, find the numbers

11. The altitude of a triangle is five-thirds the length of its corresponding base. If the altitude be increased by 4 cm , and the base decreased by 2cm, the area of the triangle remains the same. Find the base and altitude of the triangle

12. The ages of Sonu and Monu are in the ratio 5:7. If Sonu were 9yearsolder and Monu 9 years younger, the age of Sonu would have been twice the age of Monu. Find their ages

13. Two years ago, Dalip was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. Find their present ages. Check your solution

14. The digit in the tens place of a two-digit number is three times that in the units place. If the digits are reversed, the new number will be 36 less than the original number. Find the original number

15.Three prizes are to be distributed in a quiz contest. The value of the second prize is five sixths the value of the first prize and the value of the third prize is four – fifths that of the second prize. If the total value of three prizes is Rs. 150, find the value of each prize.