2023 Greendale 4NA Prelim P1

Name:_________________________________ ( ) Class:________ This document consists of 19 printed pages. Greendale Secondary School 2023 GREENDALE SECONDARY SCHOOL Preliminary Examination 2023 MATHEMATICS SYLLABUS A 4045/01 Paper 1 14 August 2023 Secondary 4 Normal Academic 2 hours Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your index number and name on all the work you hand in. Write in dark blue or black pen. You may use a soft pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all the questions. 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 may result in loss of marks. The total of the 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. Question Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10a Q10b Q11 Q12 Q13 Strand Marks Question Q14 Q15 Q16a Q16b Q17 Q18 Q19 Q20 Q21 Q22 Q23 Strand Marks 70

Greendale Secondary School 2 Secondary 4 Normal Academic Preliminary Examination 2023 Mathematics Paper 1 For Examiner’s Use Only 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 1 For Examiner’s Use Only Answer all the questions. 1 Solve ( ) ( )3 215 xx+= −− . Answer x = .…………………….. [2] 2 A 12 m string is cut in the ratio of 4:3:5 . The shortest length is x cm. Calculate x. Answer x = .…………………….. [2] 3 Find the least prime value of y which satisfies 1 10y− <− . Answer y = .…………………….. [2]

Greendale Secondary School 4 Secondary 4 Normal Academic Preliminary Examination 2023 Mathematics Paper 1 For Examiner’s Use Only 4 A red box contains three cards bearing the numbers 1, 2 and 3. A blue box contains four cards bearing numbers A, B, C and D. A card is chosen at random from each box. Complete the table to show all