2022 STC Math Prelims P1

CANDIDATE NAME CLASS INDEX NUMBER MATHEMATICS 4048/1 Paper 1 (PART A) 29 August 2022 2 hours Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, class and index number in the spaces at the top of this page. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use paper clips, highlighters, 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. Calculators should be used 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 answers in terms of . The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 80. This document consists of 21 printed pages. CHIJ ST. THERESA’S CONVENT PRELIMINARY EXAMINATION 2022 SECONDARY 4 EXPRESS / 5 NORMAL (ACADEMIC)

CHIJ ST. THERESA’S CONVENT SECONDARY FOUR EXPRESS / FIVE NORMAL(ACADEMIC) 2022 PRELIMINARY EXAMINATION MATHEMATICS PAPER 1 2 Compound interest Total amount = P 1 100 n r+ Mensuration Curved surface area of a cone = rlπ Surface area of a sphere = 2π4 r Volume of a cone = hr 2π3 1 Volume of a sphere = 3π3 4 r Area of triangle ABC = 1 sin2 ab C Arc length = r , where  is in radians Sector area = 21 2 r  , where  is in radians Trigonometry sin sin sin a b c A B C== a2 = b2 + c2 − 2bc cos A Statistics Mean = fx f   Standard deviation = 22fx fx ff  −  

CHIJ ST. THERESA’S CONVENT SECONDARY FOUR EXPRESS / FIVE NORMAL(ACADEMIC) 2022 PRELIMINARY EXAMINATION MATHEMATICS PAPER 1 3 Answer all the questions. 1 Simplify ( ) ( )2 5 3 3 2a b a b+ − − . Answer …………………………… [2] 2 Factorise completely (a) 22 5 3xx+− , Answer …………………………… [1] (b) 3 6 2ax ay x y+ − − . Answer …………………………… [2]

CHIJ ST. THERESA’S CONVENT SECONDARY FOUR EXPRESS / FIVE NORMAL(ACADEMIC) 2022 PRELIMINARY EXAMINATION MATHEMATICS PAPER 1 4 3 If Abigail sells a bicycle for $270, she would make a loss of 25%. How much must she sell the bicycle for to make a profit of 40%? Answer $ …………………………… [2] 4 Cerra changed S$500 to US dollars in January at a rate of S$1 = USD 0.753. In October, she changed the US dollars back to Singapore dollars at a rate of S$1 = USD 0.722. Find the difference in the amount of Singapore dollars she received. Give your answer correct to the nearest