Maths 2011 Solved Question Paper Previous Year ICSE
Maths 2011 Solved Question Paper Previous Year ICSE
Maths 2011 Solved Question Paper Previous Year ICSE with Sample Paper for 2020 and Other Previous Year Solved Question for practice so that student of Class 10th ICSE can achieve their goals in next exam of council. Sample paper for Maths for 2020 exam also given . Hence by better practice and Solved Question Paper of Previous Year including 2011 is very helpful for ICSE student. By the practice of Maths 2011 Solved Question Paper ICSE Previous Year you can get the idea of solving. Try Also other year except Maths 2011 Solved Question Paper ICSE Previous Year for practice. Because only Maths 2011 Solved Question Paper ICSE Previous Year is not enough for preparation of council exam
Maths 2011 Solved Question Paper Previous Year ICSE
(Two hours and a half)
Answers to this Paper must be written on the paper provided separately.
You will not be allowed to write during the first 15 minutes.
This time is to be spent in reading the question paper.
The time given at the head of this Paper is the time allowed for writing the answers.
Attempt all questions from Section A and any four questions from Section B.
All working, including rough work, must be clearly shown and must be done on the same sheet as the rest of the answer. Omission of essential working will result in the loss of marks.
The intended marks for questions or parts of questions are given in brackets [ ].
Mathematical tables are provided.
ICSE Maths 2011 Solved Question Paper Previous Year
SECTION-A (40 Marks)
(Attempt all questions from this Section)
(a) Find the value of ‘k’ if (x – 2) is a factor of x3 + 2x – kx + 10? [3]
(c) Mr. Kumar borrowed Rs. 25,000 for two years. The rate of interest for the two successive years are 8% and 10% respectively. If he repays Rs. 6,200 at the end of the first year, find the outstanding amount at the end of the second year. [4]
(a)
(b)
(c)
Question 2
(a) From a pack of 52 playing cards all cards whose numbers are multiples of 3 are removed. A card is now drawn at random.
What is the probability that the card drawn is:
(i) a face card (King, Jack or Queen)
(ii) an even numbered red card? [3]
(b) Solve the following equation:
x – 18/x = 6. Give your answer correct to two significant figures. [3]
(c) In the given figure O is the centre of the circle. Tangents at A and B meet at C. If ∠AOC = 30°, find
(i) ∠BCO
(ii) ∠AOB
(iii) ∠APB [4]
(a) Number of cards which are multiples of 3 = 12
Cards left in the pack = 40
Number of face cards = 12
(b)
(c)
(a) Ahmed has a recurring deposit account in a bank. He deposits Rs. 2,500 per month for 2 years. If he gets Rs. 66,250 at the time of maturity, find
(i) The interest paid by the bank.
(ii) The rate of interest. [3]
(b) Calculate the area of the shaded region, if the diameter of the semi circle is equal to 14 cm. Take π = 22/7 [3]
(c) ABC is a triangle and G(4, 3) is the centroid of the triangle. If A = (1, 3), B = (4, b) and C = (a, 1), find ‘a’ and ‘b’. Find the length of side BC. [4]
Answer 3
(a)
(b)
(c)
(a) Solve the following inequation and represent the solution set on the number line 2x – 5 ≤ 5x + 4 < 11, where x ∈ 1. [3]
(b) Evaluate without using trigonometric tables:
(c) A Mathematics aptitude test of 50 students was recorded as follows:
Marks | 50-60 | 60-70 | 70-80 | 80-90 | 90-100 |
No. of students | 4 | 8 | 14 | 19 | 5 |
Draw a histogram for the above data using a graph paper and locate the mode. [4]
Answer 4
(a)
(b)
(c)
ICSE Maths 2011 Solved Question Paper Previous Year
(Attempt any four questions from this Section)
Question 5
(a) A manufacturer sells a washing machine to a wholesaler for Rs. 15,000. The wholesaler sells it to a trader at a profit of Rs. 1,200 and the trader in turn sells it to a consumer at a profit of Rs. 1,800. If the rate of VAT is 8% find:
(i) The amount of VAT received by the State Government on the sale of this machine from the manufacturer and the wholesaler.
(ii) The amount that the consumer pays for the machine. [3]
(b) A solid cone of radius 5 cm and height 8 cm is melted and made into small spheres of radius 0.5 cm. Find the number of spheres formed. [3]
(c) ABCD is a parallelogram where A(x, y), B(5, 8), C(4, 7) and D(2, -4). Find
(i) Coordinates of A
(ii) Equation of diagonal BD. [4]
Answer 5
(a)
(b)
(c)
(a) Use a graph paper to answer the following questions. (Take 1 cm = 1 unit on both axes).
(i) Plot A (4, 4), B (4, -6) and C (8, 0), the vertices of a triangle ABC.
(ii) Reflect ABC on the y-axis and name it as A’B’C’.
(iii) Write the coordinates of the image A’, B’ and C’.
(iv) Give a geometrical name for the figure AA’C’B’BC.
(v) Identify the line of symmetry ofAA’C’B’BC. [5]
(b) Mr. Choudhury opened a Saving’s-Bank Account at State Bank of India on 1st April 2007. The entries of one year as shown in his pass book are given below:
Date | Particulars | Withdrawals(in Rs.) | Deposits(in Rs.) | Balance
(in Rs.) |
1st April 2007 | By Cash | — | 8550.00 | 8550.00 |
12th April 2007 | To Self | 1200.00 | — | 7350.00 |
24th April 2007 | By Cash | — | 4550.00 | 11900.00 |
8th July 2007 | By Cheque | — | 1500.00 | 13400.00 |
10th Sept. 2007 | By Cheque | — | 3500.00 | 16900.00 |
17th Sept. 2007 | To Cheque | 2500.00 | — | 14400.00 |
11th Oct. 2007 | By Cash | — | 800.00 | 15200.00 |
6th Jan. 2008 | To Self | 2000.00 | — | 13200.00 |
9th March 2008 | By Cheque | — | 950.00 | 14150.00 |
If the bank pays interest at the rate of 5% per annum, find the interest paid on 1st April, 2008. Give your answer correct to the nearest rupee. [5]
Answer 6
(a)
(b)
Question 7
(a) Using componendo and dividendo, find the value of x. [3]
Answer 7
(a)
(b)
(c)
Question 8
(a) (i) Using step-deviation method, calculate the mean marks of the following distribution.
(ii) State the modal class: [5]
Class Interval | 50-55 | 55-60 | 60-65 | 65-70 | 70-75 | 75-80 | 80-85 | 85-90 |
Frequency | 5 | 20 | 10 | 10 | 9 | 6 | 12 | 8 |
(b) Marks obtained by 200 students in an examination are given below:
Maries | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 | 90-100 |
No. of Students | 5 | 11 | 10 | 20 | 28 | 37 | 40 | 29 | 14 | 6 |
Draw an ogive for the given distribution taking 2 cm = 10 marks on one axis and 2 cm = 20 students on the other axis. Using the graph, determine
(i) The median marks.
(ii) The number of students who failed if minimum marks required to pass is 40.
(iii) If scoring 85 and more marks is considered as grade one, find the number of students who secured grade on in the examination. [5]
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