AISS 2021 Sec 3 Express EOY Paper 1 Question Paper

_____________________________________________________________________________________ This document consists of 20 printed pages. AISS EOY / 3E / P1 / 2021 [Turn over AHMAD IBRAHIM SECONDARY SCHOOL END-OF-YEAR EXAMINATION 2021 SECONDARY 3 EXPRESS Name: Class: Register No.: MARKING SCHEME MATHEMATICS Paper 1 Candidates answer on the Question Paper. 4048/01 29 September 2021 2 hours READ THESE INSTRUCTIONS FIRST Write your name, class and index number on all the work you hand in. 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. Give non-exact numerical answers to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. The use of an approved scientific calculator is expected, where appropriate. You are reminded of the need for clear presentation in your answers. 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. For Examiner’s Use /80

2 AISS EOY/3E/P1/2021 Mathematical Formulae Compound Interest Total amount = n rP     1001 Mensuration Curved 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

3 AISS EOY/3E/P1/2021 [Turn over Answer all the questions. 1 (a) Calculate   23 56.8 18.22 1.4 . Write down the first five digits on your calculator display. Answer …………………………….. [1] (b) Write your answer to part (a) correct to 3 significant figures. Answer …………………………….. [1] 2 A pond contains 65.62 10 drops of water and 92.91 10 micro-organisms. Let N be the average number of micro-organism per drop of water. Find the value of N. Give your answer in standard form. 9 6 2 2.91 10 5.62 10 517.79 5.18 10 N     Answer N =…………...……………..[2] 3 A 4-litre orange juice mixture (water and orange juice syrup) has 16% of orange juice syrup. How much water must be added to reduce the concentration of orange juice syrup to 8%? Amount of orange juice syrup =0.16 4 0.64 let the amount of water to be added be litres, 0.64 100% 8%4 0.08 0.32 0.64 4 4 of water must be added. l l x x x x l      37.459 B1 37.5 B1 M1 A1 M1 A1

4 AISS EOY / 3E / P1 / 2021 Alternative Method 8% represents 0.64 M1