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(HKDSE 2015 Paper 1B Q3b(i))

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(HKDSE 2015 Paper 1B Q3b(i))

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2023-DSE MATH CP PAPER 2 HONG KONG EXAMINATIONS AND ASSESSMENT AUTHORITY HONG KONG DIPLOMA OF SECONDARY EDUCATION EXAMINATION 2023 MATHEMATICS Compulsory Part PAPER 2 11:30 am -12:45 pm (1'Y4 hours) INSTRUCTIONS I. Read carefully the instructions on the Answer Sheet. After the announcement of the start of the examination, you should first stick a barcode label and insert the information required in the spaces provided. No extra time will be given for sticking on the barcode label after the 'Time is up' announcement. 2. When told to open this book, you should check that all the questions are there. Look for the words 'END OF PAPER' after the last question. 3. All questions carry equal marks. 4. ANSWER ALL QUESTIONS. You are advised to use an HB pencil to mark all the answers on the Answer Sheet, so that wrong marks can be completely erased with a clean rubber. You must mark the answers clearly; otherwise you will lose marks if the answers cannot be captured. 5. You should mark only ONE answer for each question. If you mark more than one answer, you will receive NO MARKS for that question. 6. No marks will be deducted for wrong answers. © i!? ~ "% ~ l?<J¥ ;f1< JijJ 15R 'i' JTEHt Hong Kong Examinations and Assessment Authority All Rights Reserved 2023 2023-DSE-MATH-CP 2-1 Not to be taken away before the end of the examination session There are 30 questions in Section A and 15 questions in Section B. The diagrams in this paper are not necessarily drawn to scale. Choose the best answer for each question. Section A 1. If a+5b 1 --,then a= 7a+2b b+3 A. 4-b 5b 2+13b B. 4+b 5b2+13b c. 5b 2+13b 4-b D. 5b2 +13b 4+b 2. 2 -----= 5-4x 5+4x A. 5+4x 25-16x 2 B. 5-4x 25-16x 2 c. 5+12x 25 -16x 2 D. 5-12x 25 -16x 2 3. 4n+2 32n+4 = A. 62n+4 . B. 64n+8 . c. 12 2n+4 . D. 12 3n+6 . 2023-DSE-MATH-CP 2-2 2 4. 2x 2 +xy-/+4x+4y = A. (x+ y)(2x+ y-4) . B. (x+y)(2x-y+4). C. (x- y)(2x+ y-4) . D. (x-y)(2x-y+4). 5. If c and d are constants such that (x + 2)(x +c)+ 12 =x(x +d)+ 6c(x + 1) , then d = 6. 7. A. -13 . B. -3. c. 3. D. 17. 6-x The solution of x- 3 < -5 or --< 2 is 4 A. x<-2 B. x>-2 c. x=-2 D. x:;t:-2 If y = 73.8 (correct to 3 significant figures), fmd the range of values of y. A. 73.7~y<73.9 B. 73.7 < y ~ 73.9 c. 73.75 ~ y < 73.85 D. 73.75 < y ~ 73.85 2023-DSE-MATH-CP 2-3 3 Go on to the next page > 8. Let g(x) = 13- 5x 2 . If a is a constant, find g(l- 3a) . A. 8-45a2 C. 8 -30a +45a2 D. 8+30a-45a 2 9. Let h(x)=ax 6 +16x 3 +b, where a and b are constants. If h(x) is divisible by 2x-3 , fmd the remainder when h(x) is divided by 2x+3 . A. -108 B. -54 c. 54 D. 108 10. Which of the following statements about the graph of y = 5 + (x- 3)2 is true? A. The graph opens downwards. B. The x-intercept of the graph is 3 . C. They-intercept of the graph is 5 . D. The graph passes through the point (3, 5) . 11. The marked price of a jacket is 60% above its cost. A profit of $104 is made by selling the jacket at a discount of 25% on its marked price. Find the cost of the jacket. A. $416

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