SHSS_2022_MA_S4E5N_Prelim_QP_P1

This question paper consists of 20 printed pages including the cover page. [Turn Over Name: Class: Index Number: ST. HILDA’S SECONDARY SCHOOL 2, TAMPINES STREET 82, SINGAPORE 528986, TEL: 6305 5277 FAX: 6786 5011 ST. HILDA’S SECONDARY SCHOOL ST. HILDA’S SECONDARY SCHOOL ST. HILDA’S SECONDARY SCHOOL ST. HILDA’S SECONDARY SCHOOL ST. HILDA’S SECONDARY SCHOOL ST. HILDA’S SECONDARY SCHOOL ST. HILDA’S SECONDARY SCHOOL ST. HILDA’S SECONDARY SCHOOL ST. HILDA’S SECONDARY SCHOOL ST. HILDA’S SECONDARY SCHOOL ST. HILDA’S SECONDARY SCHOOL ST. HILDA’S SECONDARY SCHOOL ST. HILDA’S SECONDARY SCHOOL ST. HILDA’S SECONDARY SCHOOL ST. HILDA’S SECONDARY SCHOOL PRELIMINARY EXAMINATION 2022 Mathematics 4048/01 Paper 1 Date of Exam: 24 August 2022 Level: Secondary 4 Express & 5 Normal Academic Duration: 2 hours Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, class register number and class on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. Answer all questions. If working is needed for any question, it must be shown with the answer. Omission of essential working will result in loss of marks. The use of an approved scientific calculator is expected, where appropriate. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For , use either your calculator value or 3.142, unless the question requires the answer in terms of . The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 80. Set by: Mrs Diane Ang Checked by: Mr Clarence Lim For Examiner’s Use Total 80

2 2022/Prelim/4Exp5NA/Mathematics/4048/01 Mathematical Formulae Compound interest Total amount = P 1+ r 100 æ èç ö ø÷ n Mensuration Curved surface area of a cone = p rl Surface area of a sphere = 4pr 2 Volume of a cone = 1 3p r 2h Volume of a sphere = 4 3 p r 3 Area of triangle ABC = 1 2 absinC Arc length = rq , where q is in radians Sector area = 1 2 r 2q , where q is in radians Trigonometry a sin A = b sin B = c sinC a2 = b2 + c2 - 2bccos A Statistics Mean = å fx å f Standard deviation = å fx 2 å f - å fx å f æ èç ö ø÷ 2

3 2022/Prelim/4Exp5NA/Mathematics/4048/01 Answer all the questions. 1 Write down a possible equation for each of the following graphs. (a) Answer ..……………………… [1] (b) Answer ..……………………… [1] 2 Simplify 2 6 3 9 p r −   . Answer ..……………………… [2] y x O −2

4 2022/Prelim/4Exp5NA/Mathematics/4048/01 3 (a) On the Venn diagram, shade the region which represents AÇ B' .