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# ICSE 2015 Model Test Paper: Mathematics (with Challenging sums)

5 pages, 41 questions, 36 questions with responses, 94 total responses,    0    0
 (Highly Secretive) St. Xavier's Collegiate School (SXCS), Kolkata
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MATHEMATICS (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 loss of marks. The intended marks for questions or parts of questions are given in brackets [ ]. Please refer to the mathematical tables in your school textbook. SECTION A (40 MARKS) Attempt all questions from this Section. Question 1: 3 + 3 + 4 = 10 marks (a) Find the rate per cent at which a sum of money becomes 125 64 of itself in 3 years. (b) Solve the following inequation: 1 3 1 ( + 4) 3 (x 6) , x R 2 2 (c) In trapezium ABCD, AB||DC and DC=2AB. FE drawn parallel to AB cuts AD in F and BC in E such that 4BE=3EC. Diagonal DB intersects EF at G. Prove that 7FE=10AB. Question 2: 3 + 3 + 4 = 10 marks (a) A man invested Rs.45,000 in 15% Rs.100 shares quoted at Rs.125. When the market value of these shares rose to Rs.140, he sold some shares, just enough to raise Rs.8,400. Calculate: (i) the number of shares he still holds; (ii) the dividend due to him on those remaining shares. (b) Using ruler and compass only, construct a regular hexagon of side 2.5 cm. Draw its all lines of symmetry. (c) (i) Find the third proportion of + and 2 + 2 . (ii) Using the properties of proportion, find the value of Question 3: 3 + 3 + 4 = 10 marks + + + if x = 2 +

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