2023 SNGS MA IP EOY P2 QP

This document consists of 21 printed pages and 1 blank page. . [Turn over Name: _________________________ ( ) Class :_____________ YEAR FOUR INTEGRATED PROGRAMME END OF YEAR EXAMINATION MATHEMATICS Paper 2 Wednesday 27 September 2023 2 hours 15 minutes Candidates answer on the Question Paper. ______________________________________________________________________________ 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 on both sides of the paper. You may use a pencil for any diagrams or graphs. Do not use paper clips, highlighters, glue, or correction fluid. Answer all 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. 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, unless the question requires the answer in terms of π. At the end of the examination, staple all your work securely together with this cover sheet. 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. Paper 1 / 90 Q1 Q4 Q7 Paper 2 / 90 Q2 Q5 Q8 Q3 Q6 Q9 Total /180

2 CHIJ SNGS Year 4 Integrated Programme End of Year Examination 2023 – Mathematics Paper 2 Mathematical Formulae Compound interest Total amount n rP      + =1001 Mensuration Curved surface area of a cone = π rl Surface area of a sphere = 24π r Volume of a cone 21 π3 rh= Volume of a sphere 34 π3 r= Area of a triangle ABC 1 sin2 ab C= Arc length θr= , whereθ is in radians Sector area 21 2 r θ= , whereθ is in radians Trigonometry sin sin sin abc ABC= = 222 2 cosa b c bc A=+− Statistics Mean fx f= ∑ ∑ Standard deviation 2 2 fx fx ff  = −  ∑∑ ∑∑

3 CHIJ SNGS Year 4 Integrated Programme End of Year Examination 2023 – Mathematics Paper 2 [Turn over [Turn over for Question 1]

4 CHIJ SNGS Year 4 Integrated Programme End of Year Examination 2023 – Mathematics Paper 2 1 (a) Simplify 269 5 pq p q÷ . Answer ………….……….….…………. [1] (b) Solve 63 022 1yy −=−+ . Answer y = …….………….…………. [2] (c) (i) Express 2 3 12xx−+ in the form 2()xa b++ , where a and