class 8 maths question paper

Mathematics-08--AE-/M.S. of 4

149, B. T. Road, Kolkata - 700 058 Annual Examination – 2013

Class: 8 Duration: 2 1

2 hours

Subject: Mathematics Maximum Marks: 80

Instructions to candidates Do not copy the questions. Draw a margin on the left side of your answer script.

Do a proper numbering of your answers. Spend first fifteen minutes in reading the question paper. Answer all the questions.

Section- A (Attempt all questions)

1 a) If a : b = 1 3

4 : 2

2

3 and b : c = 4 : 3

1

4 , find [4]

(i) a : b: c and (ii) a : c

b) Factorise: x3 - x2 – xy + x + y - 1 [3]

c) A car completes a journey of 315 km in 4 3

4 hrs. The first one-third of the journey was performed at 60

km/hr. Calculate the speed for the rest of the journey. [3] 2 a) What percent of 84 is 7? [3]

b) In ABC, A= (x+18)0, B= 2(x - 12)0 and C= ( 3x

2 - 3)0. Find each angle of the triangle and hence

show that it is an equilateral triangle. [4] c) Each side of a Rhombus is 10cm long and one of its diagonals measures 16 cm. Find the length of other

diagonals. [3]

3 i) Solve: 5

x + 2 -

3

x - 2 =

2

x [3+3]

ii) 8

x -

5

y = 34 ,

3

x -

2

y = 13


b) Ramu has three times as much money as Kamal. If Ramu gives `750 to Kamal, then Kamal will have

twice as much as left with Ram. How much they had each originally? [4] 4 a) Simplify: [4-2 ÷ (6-2)2] x 3-4 [3]

b) In the adjoining figure, area of ABC = 27 cm2 and EFBC. Find: [4]

i) Area of the parallelogram ABCF. ii) Area of rectangle BCDE

c) Solve: 21x2 = 8x + 4 [3]

Section- B (Attempt any four questions)

5 a) A T.V. set was sold at a gain of 15%. Had it been sold for `375 more, the gain would have been 20%.

Find the cost price of the set. [5] b) Construct an isosceles right angled triangle ABC such that its hypotenuse BC = 6 cm. [5] [Write the steps of construction] 6 a) After allowing a discount of 12% on the market price, a shopkeeper still gains 21%. By what percent is the

market price above the cost price? [4]

b) In the given figure, O is the centre of the circle. If ABC = 540, find ACB. Also if BCD = 430, find

CBD [3]

c) The base of an isosceles triangle is 12 cm and its perimeter is 32 cm. Find its area. [3]

F

C B

A E D

D 540

B

A

C

430

O


7 a) Find the area of the shaded region. [3]

b) The Simple interest on a certain sum of money for 2 years at 5% is `1600. Find the amount due and the

compound interest at the same rate after 3 years, interest compounded annually. [5] c) Find the third proportional to 4.5 and 6. [2] 8 a) In the adjoining figure ABCD is a square and [4] CEB is an isosceles triangle in which EC = EB.

Show that DCE ABE

b) Find the length of the longest pole that can be placed in a room 12 m long, 8 m broad and 9 m high. [3] c) Apples are bought at 2 for a rupee and sold at 5 for `3. Find the gain percent. [3]

9 a) The speed of a boat in still water is 5 km/hr and the speed of the stream is 1 km/hr. The boat is rowed

upstream for a certain distance and taken back to the starting point. Find the average speed of the whole journey. [4] b) The exterior angles of a pentagon are in the ratio 1:2:3:4:5. Find all the interior angles of the pentagon. [4]

c) Simplify: 3 x18 y-12 z3 [2]

17 cm

17

cm

9 cm

9 c

m

5 c

m

5 cm

B

C D

E

A


10 a) Solve the equation graphically: [5] 2x – 3y = 4 and 3y – x = 1 b) Find the area and perimeter of the shaded region. [5]

----------------------- x ------------------------

21 cm

42 cm

class 8 maths question paper

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