Math - Sec2 - SA2 - 2023 - Bedok South Sec

127 BEDOK SOUTH SECONDARY SCHOOL END-OF-YEAR EXAMINATION 2023 CANDIDATE NAME CLASS MATHEMATICS PAPER 1 Candidates answer on the Question Booklet. READ THESE INSTRUCTIONS FIRST INDEX NUMBER Write your class, index number and name on all the work you hand in. Write in dark blue or black ink on both sides of the paper. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all questions. 2EXP 4052/01 9 October 2023 1 hour The number of marks is given in brackets [ ] at the end of each question or part question. If working is needed for any question it must be shown in the space below the question . Omission of essential working will result in loss of marks. The total of the marks for this paper is 40. The use of an approved scientific calculator is NOT ALLOWED. Examiner's Use ... Penaltv Question No. Units Presentation Sub-Total Total . . Mark -1 /-2 ~

2 Answer all the questions. 1 Expand and simplify (3x+ )(2 -x)-3(.x-1). Answer ...... ... .... ..... .... ... .... .... [2] 2 Factorise completely x 2 + 7 x - 7xy- 49y. Answer ............... .... .... ........ .. [2] 3 Factorise completely (p + 3)2 -(2q-l)" using special products of algebraic expressions. Answer ....... .. ..... ............... ... ....... ... .... .. [2] 4 . . . . . ' 2p-1 4p 1 -4p+1 Express as a smgle fract10n m 1ts s1mples··: form--+-----2 2p-4 Answer ...... ... .... ... .... .. ........... [2] 128

5 3 2 5 Express as a single fraction in its simplest form --- --., . a+ 1 4a +., Answer .... .... ..... ...... .. ...... .. .... [2] 6 The diagram shows two right angled triangles , ABD and BCD. 129 AB = 17 cm, AD= 8 cm, BC= 12 cm, BD = 15 cm and CD= 9 cm. A B 12 Find, in fractions in its simplest form, the values of (a) sinL.BDC, (b) tan LABD . D 9 C Answer ............ .... ... ............ .. [I J Answer ... ......... ........ ...... ... .... [1]

'130 4 7 The following table shows some values of a and b. a 6 4 3 b 3 8 15 Detennine whether a is inversely proportional to the square root of b + 1. Ans·wer ..... ... ... .. ..... .... ............ ... ... .. ..... ... ... .... ...... ... ... ....... ........... ...... ....... .... ... [2] 8 pis directly proportional to the square of q. The sum of the values of p when q = 2 and q = 3 is 26. Find p when q = 4. Answer ... .... ....... ..... .. .. .... ... ... [3]

9 131 s rr11itio11 The test marks of a group of students are shown in the stem-anct-le~diagram. 0 2 3 5 7 9 I x 4 5 8 3 8 Key: 1 I 5 means 15 vVit (a) Find the value of x if the median score is 12.5. Answer ... ....... .... .... ...... ..... ... . [1] (b) ~ of the students scored more than v. Find the value ofJ;. s - Answer .... ... ....................... .. . [l] (c) Explain why the mean may not be an appropriate average to use to summarise the scores of the students. Answer ..... .......... ..... ..... ..... .... .. ... ..... .. ..... ... ......... .............