ATOMIC ENERGY EDUCATION SOCIETYAnushaktinagar, Mumbai

Summative Assessment-2Academic year- 2013-14

Subject - Mathematics Class - VIII

Time - 3 Hours Maximum Marks - 90

Instructions

1. Marks for questions are indicated against each.

2. Answer should be brief and to the point and word limit be adhered to as far aspossible.

3. Use of any electronic gadget (e.g. calculator, Mobile phone etc.) is not permitted.

4. In Case a candidate has not signed the Attendance Sheet or the Answer Sheet is notsigned by the Invigilator it will be dealt as an Unfair means case.

5. On completion of the test, the candidates MUST HANDOVER THE ANSWERSHEETTO THE INVIGlLATORin the room/hall.

6. The candidates should ensure that the answer sheet is not folded or damaged.

To be filled by the student

Nameof the Student: _

Roll Number: Class: ·_Section: _

No of printed pages - 4

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CCE-14-SA-U-CLASS-8-Maths -Question Paper

Q 1) Choose the correct option from the given options and write it in the answer script:i) 3.5, when expressed as % is written as

a) 35 % b) 350 % c) 3.5 %If a + b = 8 & ab = 12 , then a2 + b2 is:a) 16 b) 20 c) 12(2y - 5) ( 3y + 1) is equivalent to :a) 6l-13y-5 b) 6l-5y-5The value of 4x2 (1-:-2x) at x = -1 is:a) -1 2 b) 0 c) -3 d) 12A polyhedron whose base is a polygon with In' number of sides and whose lateralfaces are triangles with a common vertex is :a) Prism b) Pyramid c) Cuboid d) ConeNumber of faces of a dodecodron having 20 vertices and 30 edges is :a) 10 b)8 c)12 d)2

vii) The sum of the parallel sides of a trapezium is 10cm. If its height is 2cm I then thearea of the trapezium is :a) 8 sq.cm b) 16sq.cm c) 32sq.cm d) 10sq.cm

viii) If the edge of a cube is doubled I then its volume is increased by :a) 4 times b) 2times c) 8 times d) 6 timesThe value of (2-1 +3-1)0 is :a) 1 b) 00.0000069 is equal to :

0.0023a) 3 x10-2 b) 3 x10-3 c) 2.3 x10-7 d) 3 x10-7

If x = 3y, then the quantities 'x' and' y' vary with each other.a) Directly b) Inversely c) They are not in proportion d) None

xii) The weight of 5 mangoes is 450g. How many mangoes will weigh 1350g?a) 10 b)12 c)15 d)18

xiii) Greatest common factor of 12x2lz, 24xlz2 and 8x3lz isa) 8x2lz2 b) 4xyz c) 12xyz d) 8xyz

xiv) When (x2 -3x-1 0) is divided by (x + 2) , then the quotient is :a) (x-2) b) (x-5) c)( x +2) d) ( x + 5)

xv) Graph which is used to compare parts of a whole is :a) Bar Graph b) Pie-chart c) Histogram

SECTION·A (1 X 15 = 15 Marks)

d) 0.35 %ii)

d)40iii)

c) 6l-5 d) 6l-17y-5iv)

v)

vi)

ix)d) 5-1c) 5/6

x)

xi)

d) Line graph

SECTION - B (2 X 11 = 22 Marks)

1) Raj requires 40% marks to pass in an examination. If he gets 185 marks and falls shortby 15 marks, then what was the maximum marks of the examination?

2) Subtract 3x-4y-7z from the sum of ( x-3y +2z) and (-4x + 9y -11z)3) Simplify: (5x + 2) (2x-3) -4(x +2).4) Draw a triangular prism and write its number of edqes and faces.5) The floor of a rectangular hall has a perimeter of 250m. Its height is 6m. Find the cost of

painting its four walls at the rate of Rs. 10 per sq.m.

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6) Simplify: ( Xa-b) x( Xb-c ) x( xc-a)7) 60 cows can graze a field in 12 days. How many cows will graze the field in 18 days?8) Find the constant of the variation from the table given below. Also write how do the

quantities' x' & ' Y , vary:t ~ [ 250 B8 j :c-J :~9) Find and correct the error in the following mathematical statement:

(2x - 7y)2 = 2X2-5xy + 49l10) The marked price of a refrigerator is {14,000. If the shopkeeper offers a discount of

15 % then find the selling price of the refrigerator.11) Fill in the blanks:

a) The co-ordinate axes divide the Cartesian plane into quadrants.b) The co-ordinates of origin are _c) The point A (-3,-7) lies in quadrant.d) The point 8(x, 0) lies on _

SECTION: C (3 X 11 = 33 Marks)

1. A fruit seller purchases oranges at the rate of 3 for Rs.5 and sells them at 2 for RsA. Findhis profit %.

2. A rectangular piece of paper 22cm long and 12cm broad is rolled along its length to forma cylinder. Find the volume of the cylinder so formed.

3. Simplify: (i) (a - b + ab) + (b - c + bc) + (c - a + ca)(ii) a2 x (2a22) x (4a26)

4. Using Euler's formula, find the unknown:

§;~!;s d~2 f------i-:~:-~-------5. The perimeter of the base of a cuboid is 154 cm and its height is 15 cm. Find the lateralsurface area of the cuboid.

6. Express the following numbers in standard form:(i) 60200000000000(ii) 0.0000000000000942(iii) 0.000000000837

7. Brahmi has a road map with a scale of 1 cm representing 18 Km. She drives on a roadfor 72 Km. What would be her distance covered in map.

8. Factorize: (i)k2 - 26k + 133 (ii) ab + ac - b2_ bc.3

9. The difference between two selling prices of a shirt at profits of 4% and 5% is Rs6. Find.the cost price of the shirt.

10. Simplify: (i) (~ a2_ b2) (~a2+ b2) (ii) (- ~ pq") X (~ p3q)3 3 3 5

11. The graph shows the number of visitors (in thousands) to an exhibition during a period of 7days. :. ..- - -.--.- -_.- --- - -_ - -..--.- - ..- ----.-.--.- -.- - -.- .- - ..-- ..-..- -- ---.- ''''-'-'--'--1

i

data for no. of visitors on different days II60 ,--- .-------.-----.-- ----.- ...---.------. --- -.--- -.-------. ---I I

I-::=:=:-:=:=::-=:===--=~-::==-::=-~=-:L:=::=-I .~!

1-·_···_·_··_·_-----_·_··_·_----_·_·_--------------_·_-------------I .

~...--.------- ..-.--..--.------.----------- ...--..-----.------------_._ ...._-----I. 0 L . . ._. . _

! I; 0 1 2 3 4 5 6 7 811..•• __ . ..••.. _ ••.•. _. ._._. __ ..• . • . __ •...... _.'" .... __ .. __ .. ,,_ .•.. __ ._ .. _ •. _ ....• __ -1

(i)How many visitors came on 4th day?(ii)How many visitors came on last day?(iii) How many people visited the exhibition altogether in 7 days?

50

40'"•..0 30•..

'Vi's.•.. 2000e 10

SECTION: 0 (4 X 5 = 20 Marks)1. The area of a rhombus is equal to the area of a triangle whose base and the

corresponding altitude are 24.8 cm and 16.5 cm respectively. If one of the diagonals ofthe rhombus is 22cm, find the length of the other diagonal.

2. Draw the graph of the following data:Side of 2 3 4 5 6square(in cm)Area of 4 9 16 25 36square(in crrr)

Is It a linear graph?

3. Water is pouring into a tank at the rate of 60 liters per minute. If the volume of the tank is108 m3, find the number of hours it will take to fill the tank.

4. Divide as directed: (i) (5p2_25p + 20) .;. (p-1)(ii) 96 a b c ( 3 a - 12 ) (5 b - 30 ) +144 ( a - 4 ) ( b - 6 ).

5. Simplify: (i) ( a - b ) ( c - d) + ( a - b ) ( c + d ) + 2 ( ac + bd )(ii) (xyz - 4 ) ( xyz - 2 ).

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