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.

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.

Having successfully concluded your second-year school practice, you have been approached by your Head of Department in the subject you major to construct/ set an end-of-term Two examination paper (activity of integration) that was meant to be held on 24th July 2023 on the basis of what you taught during school practice.  Prepare for your Head of Department the following documents as proof of setting the examination in your respective major subject (Those of ELS/LIT, consider ELS as your major subject as well as teacher trainees offering other languages besides English Language as your teaching subject consider the other subject as your major).a) Table of Specification that will guide you in setting the requested end-of-term Two examination paper

To judge the preparation of students of class IX on topic (Number system) Mathematics teachers write two numbers on blackboard and ask some questions about the two numbers, which are following, the answer the questions.Write the   form of

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

21)You may want to take an extra science, math, or language arts class, ___________________ technically the only official requirement for graduation. Which choice completes the text so that it conforms to the conventions of Standard English?SECAGREN-046but it isbut math isbut they areand they are