Bendemeer Sec 4048 01 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 : 23 August 2022 DURATION TOTAL : : 2 hours 80 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 80. This document consists of 19 printed pages including this cover page. BENDEMEER SECONDARY SCHOOL 2022 PRELIMINARY EXAMINATION SECONDARY 4 EXPRESS / 5 NORMAL (ACADEMIC) Elementary Mathematics Paper 1 4048/01 80 FOR EXAMINER’S USE

Bendemeer Secondary School 2022 Preliminary Examination / Sec 4E5N / Elementary Mathematics Paper 1 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 1 Page 3 1. The mass of tracing paper is 45 grams per square metre. What is the mass of an A4-size tracing paper in kg. Give your answer in standard from. [Dimension of A4-size paper is 210 mm by 297 mm] Answer …………………… kg [3] 2. Two geometrically similar containers have volume 250 ml and 54 ml respectively. Find the ratio of the base area of the bigger container to the base area of the smaller container. Answer ……………….. [2]

Bendemeer Secondary School 2022 Preliminary Examination / Sec 4E5N / Elementary Mathematics Paper 1 Page 4 3. (a) In the Venn diagram below, shade the region(s) represented by the set notation 𝐴 ∪ (𝐵′ ∩ 𝐴). [1] (b) Given that 𝜀 = {𝑥: 𝑥 𝑖𝑠 𝑎𝑛 𝑖𝑛𝑡𝑒𝑔𝑒𝑟 𝑠𝑢𝑐ℎ 𝑡ℎ𝑎𝑡 1 ≤ 𝑥 < 20 }, 𝐺 = {𝑥: 𝑥 is an odd number} and 𝑇 = {𝑥: 𝑥 is a square number}. List the elements of (𝐺 ∪ 𝑇)′. Answer (b) ………………………………..… [1] 𝜀 A B

Bendemeer Secondary School 2022 Preliminary Examination / Sec 4E5N / Elementary Mathematics Paper 1 Page 5 4. A bag contains 8 white balls and 12 black balls. Two balls are drawn from the bag with replacement. Find the probability of drawing (a) 2 white balls, Answer (a)…….……….. [1] (b) 2 balls of different colours, Answer (b)…….……….. [1] (c) at least one black ball. Answer (c)…….……….. [1] 5. A bag of sweets is shared among a group of children. If each child gets 7 sweets, there will be 3 sweets left. If each child gets 8 sweets, there is a shortage of 4 sweets. How many sweets are in the bag and how many children are there in the group? Answer …………… sweets ; ….……….. children [3]

Bendemeer Secondary School 2022 Preliminary Examination / Sec 4E5N / Elementary Mathematics Paper 1 Page 6 6. In the diagram below, O is the centre of the circle. Stating the properties of circles, write down the values of angles A, B and C in terms of x. Answer ∠𝐴 = ………… 0 Property: ………………………………………………..………………………………….…. [1] Answer ∠𝐵 = ………… 0 Property: ………………………………………………..………………………………….…. [1] Answer ∠𝐶 = ………… 0 Property: ………………………………………………..………………………………….…. [1]

Bendemeer Secondary School 2022 Preliminary Examination / Sec 4E5N / Elementary Mathematics Paper 1 Page 7 7. A firm is offering a 10-year investment plan. For the first seven years, investors are offered a simple interst of 2.5% per annum of their principal amount. At the end of the seventh year, the total amount is invested for 3 years at 1.8% per annum, compounded half-yearly. If an investor invested $200 000, how much would he receive at the end of 10 years? Give your answer to the nearest dollar. Answer $……….……….. [3]

Bendemeer Secondary School 2022 Preliminary Examination / Sec