Class 8Term 2 Practice 50 Questions

 

Class 8 Term 2 Practice Questions 

1. In an auditorium, the number of rows is equal to the number of chairs in each row. If  the capacity of the auditorium is to accommodate 1764 chairs, find the number of  chairs in each row.

2. Find the square of the number 82 using the property (a + b)2 = a2 + b2 + 2ab 

3. Find the square root of a number whose prime factorisation is 2 × 2 × 3 × 3 × 3 × 3 × 5 ×  5 .

4.  Find the smallest square number that is divisible by each of the numbers 4, 9 and 10. 

5. Find the Pythagorean triplet whose smallest member is 10. 

6. Find the square root by division method 1024. 

7. Simplify :2x²(x + 2) – 3x (x² – 3) – 5x(x + 5)

8.   Add : 2x²y²– 3xy + 4, 5 + 7xy – 3x²y², and 4x²y² + 10xy 

9. Subtract  3xy + 5yz – 7xz + 1 from -4xy + 2yz – 2xz + 5xyz + 1

10. Simplify 7x²(3x – 9) + 3 and find its values for x = 4 and x = 6 

11. Simplify: (i) (5x – 6) (2 x – 3) + (3 x + 5)2   (ii) (2x + 5y) (2 x + 3y)  

12. show that

13. 

14. Evaluate 

15.  Simplify

16. Write the following numbers in usual form:  i) 100 × 7 + 10 × 9 + 1 × 8 ii) 1000 × 3 + 100 × 1 + 10 × 5 + 1 × 9

17. Find m so that (–3)m + 1 × (–3)5 = (–3)7 

18. Simplify

19. In a two-digit number, the unit's digit is 7 more than the ten’s digit. Sum of the digits is  half of the whole number. Find the digits and number. 

20. The denominator of a fraction is 1 more than twice its numerator. If the numerator and the denominator are both decreased by 1 then the number obtained is 1/3 Find the fraction.

21. In a two-digit number, unit's digit is 3 more than the ten's digit. The number formed  by interchanging the digits and the original number are in the ratio 7 : 4. Find the  number. 

22. 

23. Divide 64 into two parts such that three times the greater part will be equal to five  times the smaller one. 

24.  Solve for x,

25.  If ‘x’ is subtracted from thrice the rational number 36to obtain the value of 25, then find the value  of x.

26. Find x in the adjoining figure: 

27.  If the longer side of a trapezium is 12 cm and the distance between the parallel sides is 6  cm. Find the smallest parallel side if the area of figure is 72 cm2. 

28. Find the length of the altitude of a rhombus if lengths of its two diagonals are 12cm  and 16cm respectively.

29. Find the angles of x, y  in the figure given below

30. Find the value of x and y

31.  How many sides does a regular polygon have if the measure of an exterior angle is 450. 

32. If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours? 

33. A train is moving at a uniform speed of 75 km/hour. (i) How far will it travel in 20 minutes? (ii) Find the time required to cover a distance of 250 km. 

34.  A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?

35.  If 6x pens cost Rs 12x²-36x, find the cost of one pen. 

36. The cost of 6 balls is Rs. 42. What would be the cost of 10 balls, 15 balls and 20 balls?  Write them in the form of a table. 

37. Quantities u and v vary directly and when u = 12 and v = 16. Which of the following  is not a possible pair of corresponding values of u and v?  (i) 6 and 8  (ii) 15 and 20 (iii) 18 and 22. 

38.  Factorise  (x2 + y2) (x2– y2) 

39. What values of (x, y) satisfy the given equation x3 − 2x2y + 2xy2 − y2 = 0  

A. (1, 1) B. (1, 2) C. (2, 1) D. (3, 1) 

40. Factorise: 5y2 – 20y – 8z + 2yz 

41. Verify that (5x + 8)2 – 160x = (5x – 8)2  

42. Factorise:25x3y – 81xy  

43. Divide using factor method

44. Factorise the expressions and divide them as directed.  (y2 + 7y + 10) ÷ (y + 5)

45. The edge of a cube is 2 cm. Find the total surface area of the cuboid formed by three  such cubes joined edge to edge. 

46. The perimeter of the floor of a room is 50 m and its height is 2.5 m. Find the area of  four walls of the room. 

47. A village has a population of 5000. It requires 120 liters of water per head per day. It  has a tank measuring 20 m by 20 m by 3 m. For how many days the water of this tank will last? 

48.  A cubical box with lid has a length 45cm find the cost of painting inside and outside of the box at Rs.150 per sq. m. 

49. An aquarium is in the form of a cuboid whose external measures are 80 cm x 30 cm x 40 cm. The base, side faces and back face are to be covered with the coloured paper.  Find the area of paper needed.

50. What will be the labor charges for digging a cubical pit of 8 m at the rate of Rs.15 per m3.