Download Model question papers & previous years question papers

Posted Date: 07 Mar 2009      Posted By:: Prasanta Borah    Member Level: Gold  Points: 5 (Rs. 1)

2008 ICSE ICSE Sample Papers : Mathematics : Class:IX Question paper



Course: SSLC   University/board: ICSE





Sample Paper – 2008
Class – IX
Subject – Mathematics

SECTION – I (40 marks)
[Time – Two hours and a half]

Note :- This section is compulsory. Answer all the questions from this section.
Question – 1. [2 + 2 + 2 + 2 + 2]
(a) Insert one rational number between 5/7 and 4/9 and arrange them in descending order.
(b) Round the number correct to 4 significant figures : 546.86.
(c) Express as decimal : 35%.
(d) A watch is sold for Rs.405 at a loss of 10%. Find the cost price of the watch.
(e) Expand using standard formula : (x + 3)2.
Question – 2. [2 + 2 + 2+ 2 + 2]
(a) Factorize : 8x3 + y3.
(b) v = u + at. Make ‘a’ as a subject and write the formula.
(c) Solve : x/2 = 3 + x/3.
(d) Solve the simultaneous linear equation : 3/x + 4y = 7
5/x + 6y = 13
(e) Simplify the following :
(xm/xn)l(xn/xl)m(xl/xm)n.
Question – 3. [2 + 2 + 2 + 2 + 2]
(a) In the given figure, AOB is a straight line. Find L AOC and L BOD.
Fig.
(b) In the given figure, find the value of x, y, z and p.
Fig.
(c) In the figure given below, X and Y are mid-points of AB and AC respectively. If BC = 6 cm, AB = 5.4 cm and AC = 5 cm, calculate the perimeter of trapezium XYCB.
Fig.
(d)In the figure given below, DE is parallel to BC, AD = 3 cm, BD = 4 cm and BC = 5 cm, find AE : EC.
Fig.
(e) Find the number of sides of a regular polygon if each of its interior angles is 108º.
Question – 4. [3 + 4 + 3]
(a) Calculate the area of a triangle whose sides are 13 cm, 5 cm and 12 cm.
(b) The volume of a rectangular solid is 3600 cm3. If it is 20 cm long and 9 cm high, find its total surface area.
(c) If 5 tan? = 4, find the value of (5 sin? – 3 cos?)/(5 sin? + 2 cos?).
SECTION – II (40 Marks)
Answer ANY FOUR questions from this section.
Question – 5. [2 + 2 + 3 + 3]
(a) Prove that v2 is an irrational number. Hence show that 3 – v2 is an irrational number.
(b) Three candidates in a school election got 108, 132 and 260 votes each. What percentage of the votes did the winner receive ?
(c) A trader buys goods at 19% off the list price. He wants to get a profit of 20% after allowing a discount of 10%. At what percent above the list price should he mark the goods ?
(d) Two equal sums of money were lent at 10% and 13% p.a. on simple interest. At the end of 3 years the total interest received is Rs6900. Find the total sum lent.
Question – 6. [ 3 + 2 + 2 + 3]
(a) If (x + 1/x)2 = 3, find the value of x3 + 1/x3.
(b) Factorize : x2 + 1/x2 – 11.
(c) If A = P (1 + rt/100), find t. If A = 460, P = 400 and r = 5, find t.
(d) If x = p + 1, find the value of p from the equation
1/2(5x – 30) – 1/3(1 + 7p) = 1/4.
Question – 7. [ 3 + 2 + 2 + 3]
(a) Solve the following simultaneous equation graphically :
4x – y = 5, 5y – 4x = 7.
(b) Six years hence a man’s age will be three times his son’s age, and three years ago he was nine times as old as his son. Find their present ages.
(c) If 2x = 3y = 6–z, prove that 1/x + 1/y + 1/z = 0.
(d) Use log table to evaluate the following :
(7.09×0.2531)/(23.46×0.57).
Question – 8. [ 4 + 3 + 3]
(a) Draw a straight line AB = 4.4 cm. Mark a point P outside AB and draw a perpendicular from P to AB.
(b) In a triangle ABC, 6LA = 4LB = 3LC. Find the angles of triangle ABC.
(c) In the figure given below, ABC is an equilateral triangle. Base BC is produced to E, such that BC = CE. Calculate LACE and LAEC.
Q.7(a)/page 229
Question – 9. [ 3 + 3 + 4]
(a) O is any point in the interior of a triangle ABC. Prove that OB + OC < AB + AC.
(b) In a rhombus ABCD, prove that AC2 + BD2 = 4AB2.
(c) Construct a quadrilateral ABCD in which, AB = 2.7 cm, BC = 1.9 cm, AD = 3.6 cm, AC = 3.5 cm and BD = 5.3 cm.
Question – 10. [ 2 + 4 + 4]
(a) Prove that a median divides a triangle into two triangles of equal area.
(b) Calculate the area of quadrilateral ABCD in which, LA = 90º, AB = 32 cm, AD = 24 cm and BC = CD = 25 cm.
(c) Find the value of :
(cos 0º + sin 45º + sin 30º)(sin 90º – cos 45º + cos 60º).
Question – 11. [4 + 2 + 4]
(a) Three cubes each of side 6 cm are joined together side-by-side to form a cuboid . Find the volume and the surface area of the cuboid.
(b) Find the slope and y-intercept of the line 3x – 4y + 2 = 0
(c) Draw a histogram to represent the following data and then draw frequency polygon on the same graph paper :
Class interval 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70
Frequency 3 5 12 9 4







Return to question paper search

Next Question Paper: ICSE Sample Papers : Chemistry : Class-IX

Previous Question Paper: ICSE Sample Papers : Mathematics : Class : IX

Related Question Papers:


  • Question Bank - Biology


  • Question Bank - History


  • Question Bank _ Commercial Applications


  • Question Bank _ Computer Applications


  • Question Bank - Geography


  • Categories


    Submit Previous Years University Question Papers and make money from adsense revenue sharing program

    Are you preparing for a university examination? Download model question papers and practise before you write the exam.


    Complete the action items below to enter to win an iPad Mini from India Study Channel! in India Study Channel - Locker on LockerDome
    Awards & Gifts
    Active Members
    TodayLast 7 Daysmore...

     
    ISC Technologies, Kochi - India. © All Rights Reserved.