assignment class 8th

Holidays Assignment                        Class: - VIII                             Mathematics

1. 196 is the square of

(a) 11 (b) 12 (c) 14 (d) 16

2. Which of the following is a square of an even number?

(a) 144 (b) 169 (c) 441 (d) 625

3. A number ending in 9 will have the units place of its square as

(a) 3 (b) 9 (c) 1 (d) 6

4. Which of the following will have 4 at the units place?

(a)  (b)  (c)  (d)

5. How many natural numbers lie between  and ?

(a) 9 (b) 10 (c) 11 (d) 12

6. Which of the following cannot be a perfect square?

(a) 841 (b) 529 (c) 198

(d) All of the above

7. The one’s digit of the cube of 23 is

(a) 6 (b) 7 (c) 3 (d) 9

8. A square board has an area of 144 square units. How long is each

side of the board?

(a) 11 units (b) 12 units (c) 13 units (d) 14 units

9. The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is

(a) 81 (b) 64 (c) 49 (d) 36

10. The sum of first n odd natural numbers is

(a) 2n+1 (b)  (c)–1 (d) +1

11. Which of the following numbers is a perfect cube?

(a) 243 (b) 216 (c) 392 (d) 8640

12. The next two numbers in the number pattern 1, 4, 9, 16, 25 ... are

(a)35, 48 (b) 36, 49 (c) 36, 48 (d) 35,49

13. Which among , , ,  would end with digit 1?

(a)  (b)  (c)  (d)

14. A perfect square can never have the following digit in its ones place.

(a) 1 (b) 8 (c) 0 (d) 6

15. Which of the following numbers is not a perfect cube?

(a) 216 (b) 567 (c) 125 (d) 343

16.  is equal to

(a) 10 (b) 100 (c) 1

(d) None of these

17. The value of  is

(a) 14 (b) 12 (c) 16 (d) 13

18. Given that 4096 = 64, the value of 4096 40.96 is

(a) 74 (b) 60.4 (c) 64.4 (d) 70.4

19. Write cubes of first three multiples of 3.

20. Show that 500 is not a perfect square.

21. Express 81 as the sum of first nine consecutive odd numbers.

22. Using prime factorisation, find which of the following are perfect

squares.

(a)484 (b) 11250 (c) 841 (d) 729

23. Using prime factorisation, find which of the following are perfect

cubes.

(a)128 (b) 343 (c) 729 (d) 1331

24. Using prime factorisation, find the square roots of

(a)11025 (b) 4761

25. Using prime factorisation, find the cube roots of

(a)512 (b) 2197

26. Is 176 a perfect square? If not, find the smallest number by which it

should be multiplied to get a perfect square.

27. Is 9720 a perfect cube? If not, find the smallest number by which it

should be divided to get a perfect cube.

28. By what smallest number should 216 be divided so that the quotient

is a perfect square. Also find the square root of the quotient.

29. By what smallest number should 3600 be multiplied so that the

quotient is a perfect cube. Also find the cube root of the quotient.

30. Find the square root of the following by long division method.

(a)1369 (b) 5625

31. Find the square root of the following by long division method.

(a)27.04 (b) 1.44

32. What is the least number that should be subtracted from 1385 to get

a perfect square? Also find the square root of the perfect square.

33. What is the least number that should be added to 6200 to make it a

perfect square?

34. Find the least number of four digits that is a perfect square.

35. Find the greatest number of three digits that is a perfect square.

36. A truck needs 54 litres of diesel for covering a distance of 297 km.

The diesel required by the truck to cover a distance of 550 km is

(a) 100 litres (b) 50 litres (c) 25.16 litres (d) 25 litres

37. By travelling at a speed of 48 kilometres per hour, a car can finish a

certain journey in 10 hours. To cover the same distance in 8 hours,

the speed of the car should be

(a)60 km/h (b) 80 km/h (c) 30 km/h (d) 40 km/h

38. Meenakshee cycles to her school at an average speed of 12 km/h

and takes 20 minutes to reach her school. If she wants to reach her

school in 12 minutes, her average speed should be

(a)  km/h (b) 16 km/h

(c) 20 km/h (d) 15 km/h

39. 100 persons had food provision for 24 days. If 20 persons left the

place, the provision will last for

(a) 30 days (b)  days

(c) 120 days (d) 40 days

40. If x varies inversely as y and x = 20 when y = 600, find y when

x = 400.

41. The variable x varies directly as y and x = 80 when y is 160. What is

y when x is 64?

42. l varies directly as m and l is equal to 5, when m =

. Find l when

m =.

43. If x varies inversely as y and y = 60 when x = 1.5. Find x. when

y = 4.5.

44. In a camp, there is enough flour for 300 persons for 42 days. How

long will the flour last if 20 more persons join the camp?

49. A contractor undertook a contract to complete a part of a stadium in

9 months with a team of 560 persons. Later on, it was required to

complete the job in 5 months. How many extra persons should he

employ to complete the work?

50. Sobi types 108 words in 6 minutes. How many words would she

type in half an hour?

51. If a deposit of Rs 2,000 earns an interest of Rs 500 in 3 years, how

much interest would a deposit of Rs 36,000 earn in 3 years with the

same rate of simple interest?

52. State whether True or False. Correct

that are false.

(i) A point whose x coordinate is zero

and y-coordinate is non-zero will

lie on the y-axis.

(ii) A point whose y coordinate is zero

and x-coordinate is 5 will lie on

y-axis.

(iii) The coordinates of the origin

are (0, 0).

53. Draw the graphs, for cost of apples

No. of Apples	1	2	3	4	5
Cost(in Rs.)	5	10	15	20	25

54. Draw the garph for Distance travelled by a car.

Time (in Hours)	6 a.m.	7 a.m.	8 a.m.	9 a.m.	10 a.m.
Distances (in km)	40	80	120	160	200

(i) How much distance did the car cover during the period 7.30 a.m. to 8 a.m?

(ii) What was the time when the car had covered a distance of 100 km since

it’s start?

55.Draw the graph for Interest on deposits for a year.

Deposit (in Rs)	1000	2000	3000	4000	5000
Simple Interest (in Rs)	80	160	240	320	400

 (i) Does the graph pass through the origin?

(ii) Use the graph to find the interest on ` 2500 for a year.

(iii) To get an interest of ` 280 per year, how much money should be deposited?

56. Plot the following points on a graph sheet. Verify if they lie on a line

(a) A(4, 0), B(4, 2), C(4, 6), D(4, 2.5)

(b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4)

(c) K(2, 3), L(5, 3), M(5, 5), N(2, 5)