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
Question
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
- 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 -----= 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
- 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
- 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).
- If c and d are constants such that (x + 2)(x +c)+ 12 =x(x +d)+ 6c(x + 1) , then d =
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 416
Solution
B. 624 D. 30 each. The shop offers a discount of 20% for each toy if a customer buys 10 or more toys. A customer buys n toys (n > 10). Which of the following expressions represents the total amount of money the customer has to pay? A. 30n - 0.2n B. 30n - 0.2(30n) C. 30n - 0.2(30n - 10) D. 30n - 0.2(30n - 300) 13. A rectangular garden has a length of 12 m and a width of 8 m. A path of uniform width is built around the garden. The area of the path is equal to the area of the garden. Find the width of the path. A. 2 m B. 3 m C. 4 m D. 5 m 14. A circle with centre O and radius 10 cm is inscribed in a square ABCD. The length of the line segment AO is 5√2 cm. Find the area of the shaded region. A. 50π cm² B. 50(4 - π) cm² C. 100(4 - π) cm² D. 100π cm² 15. The sum of the first n terms of an arithmetic sequence is given by Sₙ = 2n² + 3n. Find the first term of the sequence. A. 2 B. 3 C. 5 D. 7 16. The nth term of a sequence is given by Tₙ = 2n² - 3n + 1. Find the sum of the first 10 terms of the sequence. A. 715 B. 725 C. 735 D. 745 17. The sum of the first n terms of a geometric sequence is given by Sₙ = 3(2ⁿ - 1). Find the common ratio of the sequence. A. 2 B. 3 C. 6 D. 9 18. The nth term of a sequence is given by Tₙ = 3(2ⁿ). Find the sum of the first 10 terms of the sequence. A. 3072 B. 6144 C. 9216 D. 12288 19. A sequence is defined by the recurrence relation Tₙ₊₁ = 2Tₙ + 3, T₁ = 1. Find the 5th term of the sequence. A. 31 B. 61 C. 121 D. 241 20. A sequence is defined by the recurrence relation Tₙ₊₁ = Tₙ² - 1, T₁ = 2. Find the 3rd term of the sequence. A. 2 B. 3 C. 4 D. 5 21. The sum of the first n terms of a sequence is given by Sₙ = n² + n. Find the 10th term of the sequence. A. 19 B. 20 C. 21
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ILBC TIL Secondary III – Mathematics: Paper-2 (YGN) - Semester Two Examination (2023-2024) - MATHEMATICSInternational Language & Business CentreSemester Two Examination (2023-24)Secondary IIIMathematics: Paper – 2Question: 20Marks: 100TimeSaturday, 09 March 2024, 10:15 – 11:45International Language & Business Centre Semester Two Exam (2023 - 2024)9 March 2024 (Saturday)Secondary III (10:15 am-11:45am)Mathematics Paper-II (1 hour 30 minutes)Attempt All 20 Questions . (100 points )Calculators may be used.1(6.0 p)Find the coordinates of the points of intersection of the curve with equationy=3+4x−x2 and the line with equation x+y=7 . Please give 1 answer. (− 4, − 3) , (− 1, − 6) (4, 11) ,( − 1, 8) (4, 3) , (1, 6)( − 4, 3) , (− 1, 6)2(7.0 p)f(x)=2x3−3px2+x+4pwhere p is an integer. Given that (x−4)is afactor off(x) .(a) Calculate the value of p . Using the value of p,(b) find the remainder when f(x) is divided by (x+2)( c ) factorise f(x) completely.Please give 1 answer.(a) − 3 (b) 42 (c) (x−4) ( x−1) ( 2x+3)(a) 3 (b) − 42 (c) ( x−4) ( 2x−3) ( x+1)(a) −4 (b) − 24(c) ( x+4) ( 3x−2) ( x−2)(a) 4 (b) 24 (c) ( x+4) ( 3x−2) ( x−1)3(6.0 p)The points A and B have coordinates (− 2,9) and (6,− 3) respectively. The line l is the perpendicular bisector of AB.Find an equation for l in the form ax+by+c=0 , where a,b and c are integers.Please give 1 answer.2x−3y+5=0 2x+3y+5=0 −2x+3y−5=0 3x−2y+5=0 4(5.0 p)A triangle has sides of length 10 cm, 8 cm and 9 cm.(a) Calculate, in degrees to the nearest 0.1∘ , the size of the largest angle of this triangle.(b) Find, to 3 significant figures, the area of this triangle.
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Dear Luna Thank you for organising the registration form and fee payment so quickly, I confirm safe receipt of both. Dear Tiger Thank you for emailing the completed registration form for Junxi, I confirm safe receipt. The school's bank details are provided here so that you can organise the £150 registration fee payment. The assessments are set up for Junxi to complete, here are the instructions. We’d like pupil Junxi to take a Maths, English, Verbal Reasoning and Non Verbal Reasoning paper. Each is 15-20 minutes long. Please let Junxi sit the actual tests independently, without support, so we can get a true picture of his thinking. Assessments are on this link: https://app.questassessments.com/examinations/lockers-park-school They are live and can be sat at any time that is convenient. You will need the access code to log onto the tests which is: Mengzhe Pan Date of birth 19/10/2013 Access code 8i8uzpv5 Please let me know when the assessments have been completed so that we can organise an online zoom meeting with the Headmaster Mr Taylor to interview Junxi and he can then decide whether to offer a place. I look forward to hearing from you soon. Claire Hampton 请用英文回复一下Claire： 感谢发送Assessments的信息过来，我们已经和Damon约好在8月19日的中国时间14点进行考试，我们Hyde会监考，一旦完成考试，我会让你知道！
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