Practice Work Sheet Viii Maths

8/11/2019 Practice Work Sheet Viii Maths

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Subject: Mathematics PRACTICE QUESTIONS FOR SA-1 CLASS : VIII

1.The product of two rational numbers is16

9

. If one of the numbers is4

15

then

find the other number.

2. Simplify:13 15 7 8 2 1

9 2 3 5 5 2

3. The sum of 4 times of a number and 12 is 40 find the number.

4.A Survey was made to find the type of music that a certain group of young people liked in a

city. Adjoining pie chart shows the findings of

the survey.

(i) If 20 people liked classical music , how many

young people were surveyed?

(ii) If a cassette company were to make 1000

CDs , how many of each type would they

make?

5. The marks obtained by Rahul in weekly test-1and weekly test-2 in different subjects are given

below.

SUBJECT MATHS ENGLISH SCIENCE HINDI S.SCIENCE

Weekly Test-1

(M.M. 100)76 80 65 80 70

Weekly Test-2

(M.M. 100)65 82 66 82 72

(i) Draw a double bar graph choosing appropriate scale.

(ii) In which subject is improvement the least?

(iii) Has the performance gone down in any subject?(iv) In how many subjects has the performance gone up?

6.Find the least natural number by which 1152 shall be multiplied to make it a perfect square?

7. If x2= 784 then find the positive value of x?

8. A house site is in the shape of a square. Its area is 1225 sq.mts. What is its perimeter?

Light

40%

Folk

30%

Semi

Classical

20%

Classical

10%


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9. The area of a square field is 7396 sq.mts. Find the perimeter?

10. The length and breadth of a rectangular field are in the ratio of 4:3. The area of the field is

1hectare 2288 sq.mts. Find the length and breadth of the field.

11. A field is rectangular in shape and its length is 3/2 times its breadth. If its area is 2.4576hectares. What is its perimeter?

12. A sum of Rs.1728 is distributed equally among some persons and each got 4/3 times as many

rupees as there are persons. Find the number of persons.

13.Find the square root of 2304 by using prime factorization method.

14. Find any five rational numbers 2/3 and 4/5.

15. Represent -2/11 , -5/11 , -9/11 on the number line.

16. A student said that as 9-5=4 and 355=7 the set of natural numbers is closed under

subtraction and division. Is it true? Why?

17. The area of a square is 4 hectares. Find the length of the side.

18. . Using distributive law simplify:

12

5

5

7

5

3

5

7XX

19. Using appropriate properties find 5

2

14

1

2

3

6

1

5

3

5

2XXX

20.Write the multiplicative inverse of the following

i)19

13 ii)

8

5X

7

3

21.Write any four laws of exponents with examples

22. Find i) 4 23

ii)

343

27 3

2

iii) 216 32

23. Write any five rational numbers between5

2and

2

1

24. Express in standard form of the following

i) 0.000729 ii) 60230006023


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25. Observe the following double bar graph and answer the questions given below:

(i) What is the information given by the double bar graph?

(ii) In which subject has the performance improved the most?

(iii) In which subject has the performance deteriorated?

(iv) In which subject is the performance at par?

26. What is the sum of (a) interior angles (b) exterior angles of a pentagon.

27. Find the square root of 27225 by prime factorization.

28. Find the cube root of 571787 by using prime factorization method

29. Simplify :

-2

+

-2

+

-2

30 .Verify the property xy= yx by takingx =, y =

31. Name the quadrilaterals whose diagonals (i) bisect each other

(ii) are perpendicular bisectors of each other (iii) are equal


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32. Find the number of sides of a regular polygon if each of its interior angle

measures 1080.

33. Find three rational numbers between and.

34. Represent

on the number line.

35. Find the Pythagorean triplet in which one member is 18.

36. The volume of a cube is 9261000 m3.Find the side of the cube.

37. (i) The charge on an electron is

coulombs.

Express it in the standard form. (ii) Express 5.4 103

in the usual form.

(iii) Express 9-3

as a power with base 3.

38. The following table shows the weekly wages ( in Qrs ) of 100 workers.Draw a

histogram.

39. (i) Without adding find the sum of 1+3+5+7+9+11+13+15+17+19+21+23

(ii) How many natural numbers lie between 1012 and 1022.

(iii) What will be the units digit of the square of 1234.

40. Find7

2

5

3

10

1

5

3

7

3by using appropriate properties.

41. . (i) Find the greatest number of four digits which is a perfect square.

(ii) A number ending in 2 , 3 , 7 or 8 is never a perfect square.(True / False )

(iii) The square of an odd number is always ____________ ( Odd / Even ).

42. What is the least number must be added to 5607 to make the sum a perfect

square. Find this perfect square and its square root.

Class

interval

1200-1500 1500-1800 1800-2100 2100-2400 2400-2700

frequency 18 22 28 22 10


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43. (i) Show that 189 is not a perfect cube.

(ii) What is the smallest number by which 3087 must be multiplied so that

the product is a perfect cube.

44. Simplify by using appropriate properties:

45. Evaluate :

46. Simplify :

47.Two adjacent angles of a parallelogram are in the ratio of 2 : 3 . Find the

measure of all angles.

48. The number of hours , spent by a school boy on different activities in a

working day , is given below : Draw a pie chart.

Activities Sleep School Home Play Others Total

Number

of hours

8 7 4 2 3 24

49.Find the smallest square number divisible by each one of the numbers 8,9 and 10.

50. A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn

at random from the bag. What is the probability that the ball drawn is:

(i) white. (ii) red. (iii) black. (iv) not red.

51. Find the number of sides of a regular polygon whose each exterior angle has a

measure of 450

52. Find a Pythagoras triplet in which one member is 12.

53. Find the cube root of 46656 by using the prime factorization method.

54. Find the measure of exterior angle of a regular polygon of 15 sides.

55. Verify that xx )( for31

21x

56. Find the five rational numbers between5

3and

4

3


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57. Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be

multiplied to get a perfect cube

58. Akash makes a cuboid of plastiscine of sides 5cm , 2cm , 5cm. how many cuboids will

be need to form a cube?

59. Find the value of m , so that 751 333 m

60. Find the smallest number by which 7776 must be multiplied to obtain a perfect cube?

61. Find the value of m, so that (-x)m+1 (-x)6= (-2)9

62. Find the number of sides of a regular polygon whose each exterior angle has a

measure of 15.

63. Given that 2x

= 8y+1

and 9y

= 3x-9

, then find the value of (x + y).

64.Rahuls fathers age is 10 years more than three times Rahuls age. Find Rahuls age ifhis father age is 40 years.

65. By what number should3

4

be multiplied in order to produce2

3?

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Practice Work Sheet Viii Maths

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