Grade 8 CBSE math Linear equations – test 1

Directions: Fill in the blanks
1. Don buys Three types of fruits in the market . The cost of the second fruit is five sixths the cost of the first fruit and the cost of the third fruit is four – fifths that of the second fruit. If the total cost of three fruits is Rs. 150, then
Cost of fruit A Rs.
Cost of fruit B Rs.
Cost of fruit C Rs.

2. Each side of a square is increased by 10 cm. If the ratio of the perimeters of the new square and the given square is 5 : 4,  the perimeter of the given  square cm

3.The difference between two positive integers is 16. The quotient, when one integer is divided by the other is 9. The bigger integer . The smaller integer

4. Think of a number. Reduce the number by 5/6 times itself. Multiply the result by 8. The final result is 10 less than 3 times the original number. The number is

5. A positive number is 5 times another number. If 21 is added to both the numbers then one of the new numbers becomes twice  the other new number. Bigger number = . Smaller number =

6. Product of the digits of a two digit number is 18. When we interchange the digits the new number is 27 greater than the earlier number. Find the smaller number

7. Two years ago, David 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. Davids age Son's Age

Case study

The distance between two stations A and B is 325km. Two trains(X and Y) start simultaneously from these stations on parallel tracks to cross each other. The speed of train X is greater than that of the other  by 5 km/h. The meet each other in 5hrs , . (use speed = distance/ time)

7. Speed of train X kmph
8. Distance travelled by train Y till it reaches the meeting point km
9. Time taken by train X to travel from A to B( Write answer with 1 decimal place) hrs

10. The length of a rectangle exceeds its breadth by 9cm. If the length and breadth are each increased by 3cm, the area of the new rectangle will be 84cm²more than that of the given rectangle. Enter the length cms  and breadth cms of the given rectangle.