OPSS_MYE_2018_2E_Math_QP

1 ORCHID PARK SECONDARY SCHOOL Mid-Year Examination 2018 CANDIDATE NAME CLASS INDEX NUMBER MATHEMATICS Papers 1 & 2 Secondary 2 Express Setter: Mr Benny Leong & Mr Wong Yiu Hang 4048 4 May 2018 2 hours 30 minutes 100 Marks Additional Materials: Writing Papers, Graph Paper and Answer Cover Page 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. Use a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid/tape. Section A Answer all questions in the spaces provided in the question paper. Section B Answer all questions in the writing papers provided. If working is needed for any question it must be shown with the answer. Omission of essential working will result in loss of marks. 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. This document consists of 16 printed pages For Examiner’s Use Total Calculator Model:

2 Mathematical Formulae Compound interest Total amount = n rP      + 1001 Mensuration Curved surface area of a cone = rlπ Surface area of a sphere = 24 rπ Volume of a cone = h r2 3 1π Volume of a sphere = 3 3 4 rπ Area of triangle ABC = C absin2 1 Arc length = θr , where θ is in radians Sector area = θ2 2 1 r , where θ is in radians Trigonometry C c B b A a sin sin sin= = A bc c b acos22 2 2− + = Statistics Mean = ∑ ∑ f fx Standard deviation = 22       − ∑ ∑ ∑ ∑ f fx f fx

3 1 (a) Calculate 62.332+38.2 0.3141+√579. Write down all the figures on your calculator display. Answer ……….……………………………. [1] (b) Write your answer to part (a) correct to 3 significant figures. Answer ……….……………………………. [1] ___________________________________________________________________________ 2 (a) Alvin’s age is 6 years less than 1 2 times the present age of Ben. If Ben is x years old now, express, in terms of x, Alvin’s present age. Answer ……….……………………………. [1] (b) John made a statement that a bicycle travelling at 20 km/h is as fast as a motorcycle travelling at 20 m/s. Is the statement made by John correct? Justify your answer. Answer ………………………………………………………………………… ……………………………………….……….……………………………. [2] ___________________________________________________________________________ Section A (50 marks) Answer all the questions. [Turn o