CLass 8 MATHS Previous year Question Paper withBluePrint and Scoring Key SEE 80 Marks

 

CLass 8 MATHS Previous Year Question Paper withBluePrint and Scoring Key SEE 80 Marks

BLUE PRINT FOR SESSION ENDING EXAM 

CLASS – VIII          SUB – MATHEMATICS             MAX MARKS: 80          TIME – 2 ½ HRS


CH.NO

CHAPTER

TERM

VSA

1Mark

SA

2 Mark

SA II

3Mark

LA

TOTAL

2

Linear Equations in one variable

TERM I 30%

OF 80 =

24 MARKS


(2)4


#(1)4

(3)8

6

Squares and Square roots

(3)3

(1)2



(4)5

8

Comparing Quantities

(4)4


(1)3

#(1)4*

(6)11

9

Algebraic Expression

TERM II (70%

OF 80 =

56 MARKS)

(1)1*

(1)2*

(1)3*

(1)4

(4)10

10

Visualizing Solid Shapes

(1)1


(1)3


(2)4

11

Mensuration

(1)1


(1)3*

(1)3

#(1)4

(4)11


12

Exponents and Powers


(1)2


(1)4*

(2)6

13

Direct and Inverse variation

(1)1*


(1)3*

(1)3


(3)7

14

Factorization

(1)1


(1)3

(1)4*

(3)8

15

Introduction to Graphs

#(4)4

(1)2*



(5)6

16

Playing with Numbers

(4)4




(4)4



Total

(20)20

(6)12

(8)24

(6)24

(40)80


No, of questions are given inside the brackets and Marks are given outside the brackets.


‘*’ mark shows the chapter from which internal choice is to be given. 

Internal choice is provided in 3 questions in each of 3 marks and 4 marks and 2 questions in each of 1 mark and 2 marks sections.


‘#’ mark shows possible PISA type Qn. ( 20% of 80 = 16 marks for PISA type Qns.)

Note:

Out of 16 chapters the following 5 chapters of Term-I are left completely:

CH 1) Rational Number

CH 3) Understanding Quadrilaterals

CH 4) Practical Geometry

CH 5) Data Handling

CH 7) Cubes and Cube roots


PREVIOUS YEAR QUESTION PAPER- SAMPLE PAPER -SESSION ENDING EXAMINATION

CLASS: VIII                                                     SUBJECT: MATHEMATICS

TIME:  2 ½ HOURS                                           Max Marks 80

General Instructions:

(i) All the questions are compulsory.

(ii) The question paper consists of 40 questions divided into 4 sections A, B, C, and D.

(iii) Section A comprises of 20 questions of 1 mark each. Section B comprises of 6 questions of 2 marks each. Section C comprises of 8 questions of 3 marks each. Section D comprises of 6 questions of 4 marks each.

(iv) There is no overall choice. However, an internal choice has been provided in two questions of 1 mark each, two questions of 2 marks each, three questions of 3 marks each, and three questions of 4 marks each. You have to attempt only one of the alternatives in all such questions.

  Section A       

  1. Square root of 729 is

a.73 b.27 c.30 d.33


  1. 5 and 12 are two of the Pythagorean Triplet, then the third one is

a.7 b.9 c.13 d.17

  1. A toy marked at Rs.40 is available for Rs.32. Then the percent discount given on the marked price is

a.10% b.20% c.25% d.40%

  1. The ratio of 10m to 1 km is

a.1:10 b.10:1 c.1:100 d.100:1


  1. Top view of a right circular cone is

          a. triangle      b. circle c. rectangle   d. square


  1. The Curved Surface Area of a cylinder whose radius of the base and height are equal to 1 unit is

a.1sq.units b.sq.units c.sq.units d.sq.units


  1. Number of factors of is

a.4 b.3 c.2   d.1


  1. Which of the following numbers is not divisible by 9?

a.135 b.531 c.351 d.247

  1. If a three digit number  7Y9 is divisible by 3  then the value of Y is

a.1                b.2                   c.3             d.5


  1. The number 10×7 + 5 in usual form is 

a.57 b.75 c.22 d.45

  1. The value of between the two perfect square numbers…….and …………….


  1. % of 1500 = 300, then the value of x is ……………


  1. If the actual making charge of an article is Rs.80 and the overhead expenses is Rs.10 then the cost price of the article is……….


  1. The numerical coefficient of the term   in the algebraic expression   is ………………….

                                                     (OR)

The product of the terms -4p and -7pq is ………..


  1. In a direct proportion when one quantity increases another quantity …………

                                                      (OR)                                                                                                                                                              Number of articles purchased for a fixed amount and the price per article are ……………… proportion.


SOLVE [Q 16 TO Q 19] ON THE BASIS OF GIVEN GRAPH.

 

Mrs.Sheela Kumari is a successful business woman. She runs Goods and Parcel Transporting Company which has branches all over India. She has ensured the use of latest tools and equipment in her company.one such technology is tracking by GPS. on one of the such occasions she was tracking her person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance in km from the town at different times is shown by the following graph. 



  1. What is the scale taken for the time axis? 


  1. How much time did the person take for the travel? 


  1. How far is the place of the merchant from the town? 


  1. During which period did he rest?


  1. Check that if the number 21436587 is divisible by 9.                                       


SECTION B

  1. Solve :-

  2. Find the value of x if

  3. Find the square root of 324 by factorisation.


  1. Find  

                                               (OR)

Find out using a suitable identify


  1. Find the value of


  1. Plot the points A(4, 0), B(4, 2), C(4, 6), D(4, 5) on a graph sheet and draw a line passing through these points. Is it linear? 

                                               (OR)                                                                                                                                                 Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis.

SECTION C


  1. An article was purchased for Rs.5400 including 8% GST. What was the price of the article before the tax was added?


  1. Simplify:-

                                                 (OR)  

        Add   and 


  1. A polyhedron is made by placing a square pyramid exactly on one face of a cube. Verify Euler Formula for this solid.


  1. Find the height of the cylinder whose volume is 1.54 m3 and diameter of the base is 140 cm?  Use. 

  2. The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per m2 is Rs 4.

(OR)                                                                                                                                           The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.


  1. A car travels 14 km in 25 minutes. If the speed remains same, how far can it travel in 5 hours?

                                                                                                                         

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

                                                      (OR)                                                                                                                                      A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?


  1. Factorise                                                                

SECTION D                                         

     35.  Health Benefits of Vegetables 

It is said that the more vegetables we consume, the more health benefits our body gets. You should consume at least 2.5 to 6.5 cups of fresh vegetables every day. Also, make sure you eat 4-5 different types of vegetables. Also, include seasonal vegetables in your diet. They are the most beneficial for human health, as they have higher nutrient value if eaten during proper time of the year. Needless to say, consuming raw vegetables gives you maximum benefits.  Mr.Manish a successful business man who gives much importance to his health and follows the good health practices. He ensures the consumption of 3 kg of vegetables,2 kg of fruits for his family every day. He also maintains his family health chart.

  1. Mr.Manish paid Rs.105 for 2 kilos of vegetables and a cloth bag of Rs.5 Express this as a linear equation using a suitable variable.  

  2. If he consumes 2.5 cups of vegetables out of 5 cups of his meal, what percent of his meal is vegetables?

  3. He paid Rs.84 for a bag and a kilo of vegetable at the rate of Rs.80 per kg. What was the price of one bag? 

  4. How much has he to pay for 2 kg fruit at the rate of Rs.70 per kg and 1 kg of vegetable at the rate of Rs.60 per kg and separate bags for both at Rs.5 each?

        36.                                   DISCOUNT SALE  

Discount is a reduction given on the Marked Price (MP) of the article. This is generally given to attract customers to buy goods or to promote sales of the goods. A garment shop announced discount of 20% on textiles and 30% on readymade dresses. Due to this there was a great boost in the sale. The number of customer increased by 15%in the next week. Mrs. Hasina purchased some textile items for Rs.500 and readymade clothes for Rs.1200 during this discount period.

  1. If there were an average of 300 customers before the discount advertisement. How many customers did visit the shop after the discount advertisement? 

  2. b) How much did Hasina get as discount on readymade dress alone? 

  3. c) If the MRP of a textile item is Rs.1000, find the amount that a customer would pay to buy this.  

                                                OR                                                                           An LED TV uses less power, provides a brighter display with better contrast, a thinner panel, and lesser heat dissipation than a conventional LCD TV. This is because an LED TV uses light-emitting diodes for backlighting as opposed to the CCFLs of conventional LCD TVs Mr.Sonu has been thinking of exchanging his CRT TV with a new LED TV.  He saw an advertisement in the channel and decided to change his TV. His old CRT TV was offered with Rs.2000 on exchange which he had purchased for Rs.30,000.Now for the new LED 55’’ TV, he had to give Rs.39,600 more which included 4% GST, in addition to the exchange amount.                                                                                                          

                    i). What was the exchange amount given for the CRT TV? 

                    ii)   How much did Sonu pay for the LED TV? 

                    iii) What was the marked Price of the LED TV? 

                     iv) Find the amount charged on LED TV as GST.

        37. Show that:  i) (a – b) (a + b) + (b – c) (b + c) + (c – a) (c + a) = 0 

                  ii) Using (x + a) (x + b) = x2 + (a + b) x + ab, find 103 × 104

 38. Nazma owns a field near a main road adjoining to her village. Unlike some other rectangular plots in her neighbourhood, the plot has only one pair of parallel opposite sides. So, it is nearly a trapezium in shape. She wanted to find out its area so that she can cultivate required number of rose plants. There is always a great demand for good quality roses throughout the year. She measured the pair of parallel opposite sides to be 20m and 30m.and the distance between them to be 12m.Then she purchased some rose saplings and planted them 

  1. What was the area of the field? 

  2. Find the number of rose saplings that can be planted in the field if one plant needs 4 sq.m area. 

  3.  If she wants to have a small pit of area 24 sq. m. in the field and the remaining area be available for roses, find how many rose saplings she will be able to plant. 

  4. Find the cost of developing the whole land at the rate of Rs.25 per sq. m.

39. Simplify:                           (OR)    

      40. Divide:             

                                           (OR)

                                                                                 




SESSION ENDING EXAMINATION                              

CLASS:- VIII                                                                      TIME:- 2.30 Hours

SUBJECT: Mathematics Max. Marks: 80

Scoring Key


Question No

Scoring key

marks

SECTION A

1

B

1

2

C

1

3

B

1

4

C

1

5

B

1

6

B

1

7

C

1

8

D

1

9

B

1

10

B

1

11

8 and 9

1

12

20

1

13

Rs.90

1

14

-4 or 28p2q

1

15

Increases or In inverse

1

16

1 unit = 1 hour

PISA  1

17

6 hrs

1

18

350 km

1

19

11 am to 12 noon

1

20

36=9X4,divisible by 9

1

SECTION B

21

X=5


22

X=3


23

2x3x3=18


24

Identity 

36x2-84x+49

OR

Identity

100×2=200

1

1


1

1




25

A0=1

(1+1) ×1=2

1

26

Graph

OR

Graph

2


2

SECTION C

27

x+8%of x =5400

x =5000

2

1

28

Simplify to get

3x2+4xy-y2

2

1

OR

Add and  to get p2+q2+r2+pq-qr-pr


1

1

1

29

F+V-E=2

E,F,V

Verification 18=18

1

1

1

30

Formula

h=100 cm=1 m

1

1

31

Area of rhombus

Area of 1 tile=675 cm2

Area of 3000 tiles

Cost of polishing=Rs.810

1

1


1

OR

Area=1/2d(h1+h2)

Calculation 252m2

2

1

32

Identify direct proportion

Apply x/y=k

Distance=168 km

1

1

1

33

Identify indirect proportion

Apply x×y=k

4days

1

1

1

OR

Identify indirect proportion

Apply x×y=k

49 days

1

1

1

34

Apply identity

7(9x2-16y2)

7x(3x+4y)(3x-4y)

1

1

1

SECTION D

35

i.2x+5=105

ii. 50%

iii.4

iv.140+60+10=210

PISA         1

1

1

1

36

a.345

b.360

c.1000-200=Rs.800

1

1

2

OR

  1. Rs.2000

  2. Rs.41600

  3. Rs.40000

  4. Rs.1600

1

1

1

1


37

  1. Simplifying to get 0

ii.(100+3)(100+4)=10712

2

2

38

Area=300 sq.m

75 saplings

69 saplings

Rs.7500

1

1

1

1

39

Simplification

To get 6252t4

OR

Simplification

To get 55.


4




4



40

Apply identity

1


2

1

OR

3


1







No comments:

Post a Comment

Subscribe to: Post Comments (Atom)