Greendale Sec 4048_02 QP

Name:_________________________________ ( ) Class:________ This document consists of 25 printed pages, including this cover page and 1 blank page. Greendale Secondary School 2022 GREENDALE SECONDARY SCHOOL Preliminary Examination 2022 MATHEMATICS 4048/02 Paper 2 23 August 2022 Secondary 4 EXP/ 5 NA 2 hours 30 minutes 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. 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. 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, unless the question requires the answer in terms of π . 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. No of additional booklets/ writing paper used No of additional graph paper used Question Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Strand Marks 100

Greendale Secondary School 2 Secondary 4E / 5NA Preliminary Examination 2022 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 4E / 5NA Preliminary Examination 2022 Mathematics Paper 2 Blank Page [Turn over for Question 1]

Greendale Secondary School 4 Secondary 4E / 5NA Preliminary Examination 2022 Mathematics Paper 2 Answer all questions. 1 (a) Solve the inequality 3 12 1 34 xx−+< . Answer _____________________ [2] (b) Express as a single fraction in its simplest form ( ) 2 72 4343 x xx − −− . Answer _____________________ [2] (c) Simplify 1 10 2 649 m n −   . Answer _____________________ [2]

Greendale Secondary School 5 Secondary 4E / 5NA Preliminary Examination 2022 Mathematics Paper 2 (d) Simplify 2 2 50 32 5 11 12 x xx − −− . Answer _____________________ [3] (e) Solve th