Bendemeer Sec 4048 02 QP

Page 1 Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Bendemeer Secondary School Register No. Class Name : DATE : 24 August 2022 DURATION TOTAL : : 2 hours 30 minutes 100 marks READ THESE INSTRUCTIONS FIRST Write your name, class and register number on all the work you hand in. Write in dark blue or black pen on both sides of the paper. You may use a 2B pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid/tape. Answer all questions on the question booklet unless otherwise stated by the question. All the diagrams in this paper are not drawn to scale. 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  . At the end of the examination, fasten all your work securely together. 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 100. This document consists of 26 printed pages including this cover page. BENDEMEER SECONDARY SCHOOL 2022 PRELIMINARY EXAMINATION SECONDARY 4 EXPRESS / 5 NORMAL (ACADEMIC) Elementary Mathematics Paper 2 4048/02 100 FOR EXAMINER’S USE

Bendemeer Secondary School 2022 Preliminary Examination / Sec 4E5N / Elementary Mathematics Paper 2 Page 2 MATHEMATICAL FORMULAE Compound Interest Total amount = P n r      + 1001 Mensuration Curved surface area of cone = rl Surface area of a sphere = 4  r2 Volume of a cone = hr 2 3 1 Volume of sphere = 3 3 4 r Area of triangle ABC = Cabsin2 1 Arc length = radiansin is where, r Sector area = radiansin is where,2 1 2 r Trigonometry C c B b A a sinsinsin == Abccba cos2222 −+= Statistics Mean =   f fx Standard Deviation =        −     22 f fx f fx

Bendemeer Secondary School 2022 Preliminary Examination / Sec 4E5N / Elementary Mathematics Paper 2 Page 3 1. The diagram, which is not drawn accurately, shows points A, B and C with coordinates (−4 , 2), (5 , 5) and (𝑝 , −3) respectively. AB intercepts the y-axis at R. (a) Find the coordinates of R. Answer (a) ……………….…… [3] (b) Given that the length of AC is √50 units, find the value of p. Answer (b) ……………….…… [3]

Bendemeer Secondary School 2022 Preliminary Examination / Sec 4E5N / Elementary Mathematics Paper 2 Page 4 2. During a sale, candy is sold at $x per 100g. (a) Valarie has $5 to spend on candy. Write down, in terms of x, the mass of sweets that she can buy. Answer (a) ………………… g [1] (b) After the sale, the same type of candy is sold at $(x + 0.8) per 100g. If Valarie is to spend $5, write down, in terms of x, the mass of sweets that she can buy. Answer (b) ………………… g [1] (c) Given that she can buy 25g less candy after the sale, form an equation in x and show that it reduces to 5𝑥2 + 4𝑥 − 80 = 0. [3]

Bendemeer Secondary School 2022 Preliminary Examination / Sec 4E5N / Elementary Mathematics Paper 2 Page 5 (d) Solve the equation 5𝑥2 + 4𝑥 − 80 = 0. Answer (d) x = …………………..……… [2] (e) How much does 100g of candy cost after the sale? Answer (e) $..………………………….… [1]

Bendemeer Secondary School 2022 Preliminary Examination / Sec 4E5N / Elementary Mathematics Paper 2 Page 6 3. ABCDEFGH is a regular octagon with centre O and each side is 6 cm. Find (a) ∠GHE, Answer (a) ………………0 [2] (b) ∠ODC, Answer (b) ………………0 [2] 6 cm

Bendemeer Secondary School 2022 Preliminary Examination / Sec 4E5N / Elementary Mathematics Paper 2 Page 7 (c) Area of ABCDEFGH. Answer (c) ………………cm2 [3] (d) If ABCDEFGH is the base area of a prism of height 18 cm, find the volume of the prism. Answer (d) ………..……cm3 [2]

Bendemeer Secondary School 2022 Preliminary Examination / Sec 4E5N / Elementary Mathematics Paper 2 Page 8 4. (a) Without using a calculator, show which number is smaller, 319 or 96 ? [2] (b) Show that the quadratic formula 𝑥 = −𝑏±√𝑏2−4𝑎𝑐 2𝑎 can be written in the form 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0 where a ≠ 0. [3]

Bendemeer Secondary School 2022 Preliminary Examination / Sec 4E5N / Elementary Mathematics Paper 2 Page 9 (c) Simplify 1−9𝑥2 27𝑥2𝑦 × (3𝑥𝑦)2 3𝑥−1 . Answer (c) ……………………..……… [3] (d) Simplify √( 𝑎−1 3 𝑏8 ) 34 , giving you answer in positive indices. Answer (d) …………………..………. [3]

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