Canberra EM 2024 Prelims Paper 2 QP

CANBERRA SECONDARY SCHOOL 2024 Preliminary Examination Secondary Four Express/Five Normal Academic MATHEMATICS 21 Aug 2024 4052/02 2 hours 15 minutes 0800h – 1015h Name: ______________________________________ ( ) Class: ________ READ THESE INSTRUCTIONS FIRST Write your full name, class and index number on all work you hand in. Write in dark blue or black pen on both sides of the paper. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all the 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. Calculators should be used 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, unless the question requires the answer in terms of  . 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 90. This question paper consists of 21 printed pages including the cover page. Setter: Ms Sim Yi Lian FOR MARKER’S USE Marks Awarded Max Marks Total 90 O

2 Canberra Secondary School Mathematics 4052/02 2024 Preliminary Examination Secondary 4 Express / 5 Normal Academic Mathematical Formulae Compound interest Total amount = 1 100 n rP+ Mensuration Curved Surface area of a cone = rl Curved surface area of a sphere = 24 r Volume of a sphere = 34 3 r Area of triangle ABC = 1 sin2 ab C Arc length = r , where  is in radians Sector Area = 21 2 r  , where  is in radians Trigonometry sin sin sin a b c A B C== 2 2 2 2 cosa b c bc A= + − Statistics Mean fx f =  Standard deviation = 22fx fx ff  − 

3 Canberra Secondary School Mathematics 4052/02 2024 Preliminary Examination Secondary 4 Express / 5 Normal Academic Answer all the questions. 1 (a) Solve the simultaneous equations. 4 6 58 3 5 46 mn mn += += Answer m = n = [3] [Turn Over

4 Canberra Secondary School Mathematics 4052/02 2024 Preliminary Examination Secondary 4 Express / 5 Normal Academic (b) Write as a single fraction in the simplest form 2 31 2 50 5 x xx −−− . Answer [3]