Cbse Class 8 Mathematics Sample Paper 2018 (1).pdf

Downloaded from www.studiestoday.com

SUBJECT-MATHEMATICS CLASS-VIII

Sr. No.

Name Of Chapter/ Topic

VSA

SA-I

MAX. MARKS- 60

SA-II

LA

(1 Mark) (2Marks) (3Marks) (4Marks)

Total Marks

1

Algebraic Expressions

1(1)

4(2)

3(1)

8(4)

2

Visualising Solid Shapes

1(1)

2(1)

3(1)

6(3)

3

Mensuration

1(1)

2(1)

3(1)

4

Direct And Inverse Proportions

2(2)

6(2)

5

Factorisation

1(1)

3(1)

6

Introduction To Graphs

7

Playing With Numbers

1(1)

8

Exponents And Powers TOTAL

1(1)

2(1)

8(8)

2(1)

12(6)

4(1)

10(4) 8(4)

4(1)

8(3)

4(1)

6(2)

3(1)

6(3)

3(1)

4(1)

8(3)

24(8)

16(4)

60(26)

Downloaded from www.studiestoday.com

Downloaded from www.studiestoday.com

KENDRIYA VIDYALAYA SANGATHAN (CHANDIGARH REGION) Class: VIII Subject: Mathematics 1 2

TIME: 2 HOURS

M.M : 60

General Instructions:•

All questions are compulsory.

•

The question paper consists of 26 questions divided into four sections A, B, C and D.Section A contains 8 questions of 1 mark each. Section B contains 6 questions of 2 marks each. Section C contains 8 questions of 3 marks each, Section D contains 4 questions of 4 marks each.Use of calculator is not permitted.

•

An additional 15 minutes time has been allotted to read this question paper only.

Section- A 1. 2. 3. 4.

Find the product of 4p and 0. Evaluate (-4)-2 What is the total surface area of a cuboid ? Observe the table and find the value of P . x

2

6

5

y

6

18

P

5. Factorise: 7x- 42. 6. State if direct or inverse proportion ? The time taken for a fixed journey and the speed of the vehicle. 7. Find the value of A 1 A

x A

9 A

8. How many faces does a cube have ?

Section- B 9. Using identities, evaluate 102 2 . 10. Add p(p-q) , q(q-r) and r(r-p). 11. Using Euler’s formula, find the unknown: Faces =? , Vertices = 6, Edges = 12 12. The diagonals of a rhombus are 7.5cm and 12cm.Find its area.

Downloaded from www.studiestoday.com

Downloaded from www.studiestoday.com 13. Plot the following points on a graph sheet. P(1,1), Q (2, 2), R(3,3),S(4,4) 14. Find the values of the letters in the following and give reasons for the steps involved. 3A +25 B2 _________

Section- C 15. Simplify (4m+ 5n)2 + ( 5m + 4n)2 16. Can a polyhedron have for its faces (i) 3 triangles? (ii) 4 triangles? (iii) a square and four triangles? 17. A closed cylindrical tank of radius 7m and height 3 m is made from a sheet of metal. How much sheet of metal is required? 18. A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours ? 19. 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? The farmer feeds and keeps his cattle in good condition. What quality of farmer is depicted here? 20. Factorise a4– b4. 21. If 21y5 is a multiple of 9, where y is a digit, What is the value of y? 22. Find the value of m for which 5m÷ 5-3 = 55.

Section- D 23. A cuboid is of dimensions 60 cm× 54cm × 30 cm, How many small cubes with side 6 cm can be placed in the given cuboid ? 24. Factorise the expressions and divide as directed. (y2 + 7y +10 ) ÷ (y +5) 25. The following table represents the distance travelled by a car. Draw the graph for the following table of values, with suitable scale on the axes. Time (in hours)

6 a.m.

7 a.m.

8 a.m.

9 a.m.

10 a.m.

Distance (in km)

40

80

120

160

200

(i)

How much distance did the car cover during the period 8a.m. to 8.30a.m.?

Downloaded from www.studiestoday.com

Downloaded from www.studiestoday.com (ii) 26. Simplify

What was the time when the car had covered a distance of 100km since it’s start? 25 × t-4 (t ǂ 0) 5-3 × 10× t-8 ------------------------------

Downloaded from www.studiestoday.com

Downloaded from www.studiestoday.com

MARKING SCHEME CLASS- VIII SUBJECT – MATHEMATICS Section- A Q.1

0

(1)

Q.2.

1/16

(1)

Q3.

2(lb+bh+hl)

(1)

Q.4.

15

(1)

Q.5. (1)

7(x-6)

Q.6. Inverse proportion (1) Q.7. (1)

6

Q.8. (1)

6

Section-B Q.9. (a+b)2 = a2+2ab+b2

(1/2)

(102)2= (100+2)2

(1/2)

=10404

(1)

Q.10. p2-pq+q2-qr+r2-rp (11/2) (1/2)

p2+q2+r2-pq-qr-rp

Q.11.Euler’s Formula F+V-E = 2

(1)

F=8 (1)

Downloaded from www.studiestoday.com

Downloaded from www.studiestoday.com Q.12. Area of rhombus =1/2 d1xd2 (1/2) Area =45 cm2 (11/2)

Q.13.Plotting each point on graph sheet ½ mark. (2) Q.14 (1)

A=7 B=6

(1)

. Section- C Q.15. .

= 16 m2 +40 mn + 25n2+ 25m2 + 40 mn+ 16 n2

(2)

= 41 m2 + 80 mn + 41n2 Q.16. .

(1)

(i) No

(1)

(ii) Yes

(1)

(iii) Yes

(1)

Q.17. . TSA = 2Π r( r + h) = 2 × 22 × 7 (7+3) 7 = 440 m2 Q.18.. Direct Proportion 6

(1) (1) (1) (1/2)

5 =

840

x

(1) (11/2)

x = 700 bottles Q.19. . Inverse Proportion

(1/2)

20 × 6 = 30 × x

(1)

x = 4 days

(1/2)

value Q.20. . = (a2) 2 – (b2)2

(1) (1)

Downloaded from www.studiestoday.com

Downloaded from www.studiestoday.com

(1)

= (a2+b2)(a2-b2) = (a2 + b2) (a+b) (a-b)

Q.21..

(1)

2 + 1+ y+ 5 = 9

(1)

y+8=9

(1)

y =1

(1)

Q.22. m – (-3) =5 (11/2) m = 2

(11/2)

Section- D Q.23. . Volume of cuboid = lbh

(1)

= 60 × 54× 30 cm3

(1)

Volume of cube = l3

(1)

= 6 × 6× 6 cm3 No. of cubes = 60 × 54 × 30

(1)

6×6×6 = 450 Q.24. = [ y2 + 5y +2y + 10] ÷ (y + 5)

(1)

= [ (y + 5) (y+2) ] ÷ (y + 5)

(2)

= (y+2)

(1)

25. draw the graph (i) 20km (ii) 7.30 a.m.

2 marks 1 mark 1mark

Q.26. . = 52 × t-4

(1)

5-3× 5× 2× t-8 = 54 t4

2

(2) = 625 t4

(1)

Downloaded from www.studiestoday.com

Downloaded from www.studiestoday.com 2

Downloaded from www.studiestoday.com