2023 Greendale 4NA Prelim P2

Name: ___________________________________ ( ) Class: __________. This document consists of 19 printed pages. Greendale Secondary School 2023 GREENDALE SECONDARY SCHOOL Preliminary Examination 2023 Mathematics Syllabus A 4045/02 Paper 2 15 August 2023 Secondary 4 Normal Academic 2 hours Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your index number and name 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 staples, paper clips, glue or correction fluid. Section A Answer all the questions. Section B Answer one question. 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 with the answer. Omission of essential working will result in loss of marks. The total number of marks for this paper is 70. 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 π , use either your calculator value or 3.142. Qn Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9a,b Q9c Q10 Q11 a Q11 b Q12 Strand Marks 70

Greendale Secondary School 2 Secondary 4 Normal Academic Preliminary Examination 2023 Mathematics Paper 2 Mathematical Formulae Compound interest Total amount = n rP      + 1001 Mensuration Curve surface area of a cone = πrl Surface area of a sphere = 4πr2 Volume of a cone = 3 1 πr2h Volume of a sphere = 3 4 πr3 Area of triangle ABC = 2 1 ab sin C Arc length = rθ, where θ is in radians Sector area = 2 1 r2θ, where θ is in radians Trigonometry C c B b A a sinsinsin == a2 = b2 + c2 – 2bc cos A Statistics Mean = ∑ ∑ f fx Standard deviation = 22       − ∑ ∑ ∑ ∑ f fx f fx

Greendale Secondary School 3 Secondary 4 Normal Academic Preliminary Examination 2023 Mathematics Paper 2 Section A (62 marks) Answer all questions in this section. 1 The diagram shows part of a n-sided regular polygon A. B is a regular hexagon and C is a square. Find n. Answer n = ..………………………… [4] B C C A

Greendale Secondary School 4 Secondary 4 Normal Academic Preliminary Examination 2023 Mathematics Paper 2 2 The heights of a group of 14 students were measured. The results are shown in the stem-and-leaf diagram. 15 6 16 0 2 4 7 8 17 1 2 2 4 8 18 1 3 19 0 Key 16|2 means 162 cm (a) Find the (i) range of the heights, Answer ……………………………cm [1] (ii) median height. Answer ……………………………cm [1] (b) A new student, John, joined the group and his height was measured and added to the data. As a result,