kerala SSLC: ICSE Latest Sample Question Papers

Sample Paper – 2010
Class – X
Subject – Mathematics

Section – I [ 40 Marks]

Q.1(a) When the rate of sales tax is increased from 4.5% to 7%, a car dealer sells a car for Rs.3,750 more. Find the quoted price of the car. (3)

(b) Find the mean proportion of x – y and x³ – x²y. (3)

(c) Ram borrowed Rs.2,500 from Shankar at 12% per annum C.I. After 2 years, he gave Rs.2936 and a radio to Shankar to clear the account. Find the cost of the radio. (4)

Q.2(a) Find the value of p and q, if x² – 1 is a factor of x⁴ + px + 2x² – 3x + q. (3)

(b) Find the median of :

19, 25, 59, 48, 35, 31, 30, 32, 51. If 25 is replaced by 52, find the new median . (3)

(c) In a quadrilateral ABCD, AB = AC = AD. Show that :

∟BAD = 2 (∟CBD + ∟CDB). (4)

Q.3(a) Anupam deposits Rs.1,600 per month in a recurring deposit accountfor three years at the rate of 9% p.a. simple interest. Find the amount she will get at the time of maturity.

(3)

(b) In the given fig., ABC is an equilateral triangle inscribed in a circle of radius 4 cm. Find the area of the shaded region. (3)

Fig

(c) (i) Plot A (2,3) and B (4,5) on a graph paper.

(ii) Reflect A, B in the y-axis to A’, B’. Plot these points on the same graph.

(iii) Write down :

(p) the geometrical name of the figure ABB’A’.

(q) the measure of the angle ABB’

(r) the image B” of B when B is reflected in the point (0,0). (4)

Q.4(a) Evaluate :

Sin²(90º – A) + cos²(90º – A) + sec²(90º – A) – tan²(90º – A). (3)

(b) x + 1/2 ≤ 5 – x /2 ≤ 7/2, x є R. (3)

(c) The mean of the following frequency table is 50. But the frequencies f₁ and f₂ in the classes 20 – 40 and 60 – 80 are missing. Find the values of f₁ and f₂.

Class	0 – 20	20 – 40	40 – 60	60 – 80	80 – 100	Total
Frequency	17	f₁	32	f₂	19	120

(4)

Section – II (40 Marks)

Donot panic ,choose ANY FOUR options correctly

Q.5 (a) In the given fig., O is the center of the bigger circle and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, find the area of the shaded region. (3)

Fig

(b) If cosec θ – sin θ = a, sec θ – cos θ = b, show that a²b² (a² + b² + 3) = 1. (3)

(c) Mr. Mohan Chand had a Saving Bank Account in a bank. His passbook had the following entries :

Date 2006	Particulars	Withdrawals (in Rs.)	Deposits (in Rs.)	Balance (in Rs.)
Jan. 07	By cash	−	500.00	500.00
Mar. 18	To cheque	100.00	−	400.00
May 22	By cheque	−	1,500.00	1,900.00
July 28	To cash	200.00	−	1,700.00
Sept. 03	By cash	−	1,300.00	3,000.00

He closes the account on 30^th Oct. 2006 and receive Rs.3,043.75. Find the rate of interest per annum. (4)

Q.6.(a) In the given fig., ABC is an isosceles triangle in which AB = AC. A circle through B touches the side AC at D and it intersects the side AB at P. If D is the mid-point of AC, prove AB = 4AP. (3)

fig

(b) If 2my – 3x = 4 and 3my + 8x = 10 are perpendicular to each other, find m. (3)

(c) Find X and Y, if X + Y = [7 0 5] and X – Y = [3 6 9] (4)

Q.7.(a) find the HCF & LCM of (x³ -8) and (x⁴+4x²+4x²) (3)

(b) A bag contain 4 white balls , 3red balls , 5 green balls. if you select a ball in random Find the probability of

(i) one green ball (ii) not a green ball (iii) neither green nor red (3)

(b) From the top of a church spire 96 m high, the angles of depression of two vehicle on a road, at the same level as the base of the spire and on the same side of it are xº and yº, where tan xº = 3/4 and tan yº = 1/3. Calculate the distance between the vehicles. (4)

Q.8.(a) In given fig. ABC is a right angled triangle, right angle at B, AB = 6 cm and BC = 8 cm. A circle with centre O has been inscribed inside the triangle. Find the value of x.

(3)

fig

(b) A (0, 0), B (6, 0), C (4, 2) and D (2, 2) are the vertices of a trapezium ABCD and E and F are the mid-points of AD and BC respectively. Prove that EF = 1/2(AB + CD). (3)

(c) A company with 10,000 shares of nominal value of Rs.100 declares an annual dividend of 8% to the shareholders.

(i) Calculate the amount of dividend paid by the company.

(ii) Raju had bought 90 shares of the company at Rs.150 per share. Calculate the dividend he receives and the percentage return on his investment. (4)

Q.9.(a) A man takes a loan of Rs 50000 from a bank at 5% p.a.in CI. He repays Rs 20000 at the end of first year, Rs 24125 at the end of second year. Find how much money he has to pay at the end of second year in order to clear the loan. (4)

(b) Check whether x = 4 and x = 5 are solutions of the given equation :

√(x² – 16) – (x – 4) = √(x² – 5x + 4). (3)

(c) A cone of height 15 cm and diameter 7 cm is mounted on a hemisphere of same diameter. Determine the volume of the solid thus formed. (3)

10.(a) Draw an Ogive for the following frequency distribution by “Less than” method :

Marks	0 – 10	10 – 20	20 – 30	30 – 40	40 – 50	50 – 60
Number of students	7	10	23	51	6	3

(6)

(b) If O is the centre of the circle

Prove that

< x + < y = < z

11. (a) The midpoint of the line joining (2a, 4) and (-2, 3b) is (1, 2a + 1). Find the values of ‘a’ and ‘b’.

(b) Find the range of values of ‘x’ which satisfies

< x +

< 3

, x E R

represent your solution on a number line (3)

+ 3cos²30 = 3k . Find k.

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Sample Paper – 2011
Class – X
Subject – Computer Applications

This Paper is divided into two Sections.

Attempt all questions from Section A and any four questions from Section B.

The intended marks for questions or parts of questions are given in brackets [ ].

SECTION A (40 Marks)

Attempt all questions

Question 1

(a) Name any two tokens of Java. \[2]

(b) Give the difference between call vbyvalue parameter and call by reference [2]

(d) Write an expression in Java for sin x +2ab + b . [2]

(e) What is the result produced by 2 – 10*3 + 100/11? Show the steps. [2]

Question 2

(a) What is the difference between local variable and instance variable? [2]

(b) int x =22, y = 19, z;

What is the value of z in

z = ++x * (y – –) – y ?

Show the steps. [2]

(d) Give the difference between linear search and binary search. [2]

(e) What will be the output of the following code?

float x = 7.87;

System.out.println(Math.ceil(x);

System.out.println(Math.floor(x); [2]

Question 3

(a) State the difference between if-else if ladder and switch...case. [2]

(b) Explain the concept of constructor overloading with an example. [2]

(i) String s = “application”;

int p = s.indexOf(‘a’);

System.out.println(p);

System.out.println(p+s); [2]

(ii) String st = “PROGRAM”;

System.out.println(st.indexOf(st.charAt(4))); [2]

(iii) int a = 0;

if(a>0 && a<20)

a++;

else a-- ;

System.out.println(a); [2]

(iv) int a= 5, b = 2,c;

if (a>b || a ! = b)

c = ++a+--b;

System.out.print(c+ “ ”+a+ “ ”+b); [2]

(v) int i = 1;

while(i++<=1)

{

i++;

System.out.print(i + “ ” );

}

System.out.print(i); [2]

(d) Differentiate between isUpperCase(char) and toUpperCase(char). [2]

(e) What is the difference between a constructor function and a member

function of a class? [2]

(f) What is the difference between a static member function and a member

function which is not static? [2]

SECTION B (60 Marks)

Attempt any four questions from this Section.

The answers in this Section should consist of the Programs in either Blue J environment

or any program environment with Java as the base. Each program should be written

using Variable descriptions/Mnemonic Codes such that the logic of the program is

clearly depicted.

Question 4

Write a Menu driven Program to do the following

a) Write a class to print the following series :

S=a/x¹+a/x²+a/x³+a/x⁴…….. a/xⁿ (8)

b) Write a class to display prime numbers between 1 to 100 (7)

Question 5

Write a menu driven program to find the sum of the following series depending on the

user choosing 1 or 2

1. S=1/4+1/8+1/12.........upto n terms

2. S=1/1!-2/2!+3/3!.......upto n terms

where ! stands for factorial of the number and the factorial value of a number is the

product of all integers from 1 to that number, e.g. 5! = 1 *2 * 3 * 4 * 5.

(use switch-case). [15]

Question 6

Write a program to accept a sentence and print only the first letter of each word of the

sentence in capital letters separated by a full stop.

Example :

INPUT SENTENCE : “Kapil Kumar Thakur”

OUTPUT : K.P.T [15]

Question 7

Write a program to create an array to store 10 integers and print the second largest number

Question 8

Write a program to calculate the sum of all the twin prime numbers between the range of 1 and 100. [15]

Question 9

Write a program to store 10 names in an array. Arrange these in alphabetical order by sorting. Print the sorted list. [15]

Saturday, December 4, 2010

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