1 霹雳怡保培南独立中学 SEKOLAH MENENGAH POI LAM (SUWA) FINAL EXAMINATION 2022 ADVANCED MATHEMATICS (I) PAPER 1 MULTIPLE-CHOICE QUESTIONS ___________________________________________ DATE : 18.10.2022 (TUESDAY) TIME : 1130 – 1230 (1 HOUR) ____________________________________________ NAME : _____________________ REGISTRATION NUMBER: _____________ CLASS : S3LI INSTRUCTIONS TO CANDIDATES 1. This subject comprises two papers: Paper 1: Multiple-choice questions (40%), Paper 2: Subjective questions (60%). 2. Complete Paper 1 within the 1 hour allocated. After a 15-minute interval, proceed to complete Paper 2 within the 2 hours allocated. 3. Attempt all the 20 questions in Paper 1. For each question, select the correct answer and blacken the square corresponding to the same letter of the alphabet as the answer you have selected. Mark the answers with a 5B pencil on answer sheet “O” (computer card). 4. The prescribed electronic calculators may be used. 5. Mathematics Formula Sheet is on pages 2 – 4. Do Not Turn Over This Page Until You Are Told To Do So _________________________________________________________________________________ This document consists of 7 printed pages (including this page) Prepared by : Ms Chai Siew Yin Checked by : Mr Yeow Ghee Ruey Signature : _________________ Signature : __________________
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5 1. A. – 1 B. C. 1 D. 2. Given that = , then A. B. C. D. 3. Given that find the value of . A. 6 B. 9 C. 18 D. 24 4. = ? A. B. C. D. 1 5. Given that the range of values of x for which is x –3 or 2 x 4. Find the value of a + b. A. – 3 B. C. D. 3 6. The area of a triangle ABC is 6 cm2 . Given that AB = 3 cm and AC = 5 cm, find the possible lengths of BC. A. 4 cm, 5 cm B. 3 cm, 5 cm C. cm, 5 cm D. 4 cm, cm 7. What is the coefficient of the term x 7 in the expression ………. ? A. 165 B. 164 C. 120 D. 45 8. What is the longest distance from a fixed point A(6, 6) to the circle ? A. 2 B. 4 C. 8 D. 16
6 9. In how many ways can 4 boys and 3 girls sit at a round table if no two girls can sit together? A. 3! 2! B. 3! 3! C. 3! D. 4! 10. The circumradius of ABC is 1 cm, and a = 1 cm. If A is acute, find A. A. 30º B. 60º C. 90º D. 120º 11. Find the shortest distance between A(72°20E, 23°15S) and B(107°40W, 17°50N) on the surface of the earth in nautical mile. A. 2465 B. 5075 C. 10475 D. 10 800 12. If and are two real roots of the equation in x , and , then what is the value of A. B. C. D. 13. Solve the equation for 0 . A. B. C. D. 14. Given two points A (–1, 2) and B (–9, 14) . Find the coordinates of the points C which divides AB internally in the ratio of 1 : 3. A. (–3, –5) B. (–3, 5) C. (3, –5) D. (3, 5) 15. Find the equation of the curve which passes through the point (2, 3) and for which d d A. y = 4x – 5 B. C. D. 2 16. If is a continuous function such that , find A. – 11 B. – 5 C. 7 D. 11
7 17. Given that and , where 90° 180° and 270° 360°, find . A. a + b B. C. D. 18. Given that , where x , y 0. Find y in terms of x. A. B. C. 4 D. x – 2 19. Find the interval where the function is decreasing. A. B. C. D. 20. Find the indefinite integral A. B. C. D.