# Term Paper

Topics: Analytic geometry, Curve, Decimal Pages: 4 (872 words) Published: May 22, 2013
FIS Institute
MATHEMATICS

4038
2 hours

Write your Centre number, index number and name on all the work you hand in. Write in dark blue or black pen on both sides of the paper. You may use a soft pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid.

Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. You are expected to use a graphic calculator. Unsupported answers from a graphic calculator are allowed unless a question specifically states otherwise. Where unsupported answers from a graphic calculator are not allowed in a question, you are required to present the mathematical steps using mathematical notations and not calculator commands. You are reminded of the need for clear presentation in your answers.

At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. This question paper consists of 5 printed pages. FIS Education Centre [Turn over]

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O-LEVEL Additional Mathematics Mock Examination Paper
Duration 2 hours Total marks 80

2 5 1. Given that P=   , find P-1 and hence solve the simultaneous equations  57    2x  5 y  6  0 5x  7 y  7  0

[4]

2. If x  3  5 , express x  integers.

6 in the form p 3  q 5 when p and q are x [3]
x 2  5x . 3
[4]

3. (a) Find the least integral value of x for which 1  x 2 

(b) The straight line y=3p+1 intersects the curve y  x  points. Find the values of p.

p2 at two distinct x

[5] x 4. (a) Solve the equation log 2 ( x  8 )  log 4 9  1  log 2 ( ) [5] 4 5 a (b) Given that （ 3 2 x1 )  3( 5 x2...