E-Math - Sec 4NA - Prelims Exam Paper - 2024 - Ahmad Ibrahim Sec

1 This document consists of 17 printed pages. [Turn over AISS PRELIM/4045/01/2024 AHMAD IBRAHIM SECONDARY SCHOOL GCE N-LEVEL PRELIMINARY EXAMINATION 2024 SECONDARY 4 NORMAL (ACADEMIC) Name: Class: Register No.: MATHEMATICS SYLLABUS A Paper 1 Candidates answer on the Question Paper. 4045/01 30 July 2024 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. The number of marks is given in brackers [ ] 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 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 , use either your calculator value or 3.142. For Examiner’s Use / 70

2 AISS PRELIM/4045/01/2024 [Turn Over 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 PRELIM/4045/01/2024 [Turn over Answer all the questions. 1 Calculate 0.7 4.9 2 5.8 3 + − , leaving your answer to 4 significant figures. Answer .…………………………. [1] 2 Write these numbers in order of size, starting with the smallest. 21 50 , 2 30.25 , 0.412, 0.16 , 39% Answer ……… , ……… , ……… , ……… , ……… [2] 3 Find the largest integer satisfying 3x < –22.5. Answer ………………………....... [2]

4 AISS PRELIM/4045/01/2024 [Turn Over 4 (a) Steven makes a candy salad. He uses gummy bears, candy corn and jellybeans in the ratio 7 : 3 : 5 respectively. He uses 1.4 kg of jellybeans. How much gummy bears does he use? Answer ……………………….. kg [1] (b) Irene makes a candy salad using fruit pastilles, mints and liquorice. The ratio of fruit pastilles : mints is 2 : 3. The ratio of mints : liquorice is 4 : 9. Find the ratio of fruit pastilles : mints : liquorice. Answer ………. : ………