Tkgs 2026 Sec 4 T2 WA Question Paper_v3

TANJONG KATONG GIRLS’ SCHOOL WEIGHTED ASSESSMENT TWO SECONDARY FOUR CANDIDATE NAME CLASS INDEX NUMBER MATHEMATICS 4052 Term 2 Week 5 2026 Candidates answer on the Question Paper. 40 minutes READ THESE INSTRUCTIONS FIRST Write your index number and name 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. 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. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 30. This document consists of 10 printed pages. For Examiner’s use

Tanjong Katong Girls’ School 2 4052/S4WA2/2026 Mathematical Formulae Compound interest Total amount = nrP      + 1001 Mensuration Curved surface area of a cone = rl Surface area of a sphere = 24 r Volume of a cone = 21 3 rh Volume of a sphere = 34 3 r Area of triangle ABC = Cabsin2 1 Arc length = r , where  is in radians Sector area = 21 2 r  , where  is in radians Trigonometry C c B b A a sin sin sin == Acbcba cos 2 222 −+= Statistics Mean = f fx   Standard deviation = 22fx fx ff  − 

Tanjong Katong Girls’ School [Turn over 3 4052/S4WA2/2026 1 (a) Show that   3 4 8 3 6433 x y x y   . [1] (b) Hence, simplify   1 63 2484 8 813 xxy y             and leave your answer in positive index form. Answer ……………………………… [2] 2 Mandy deposited $150 000 in a 5-year investment plan. For the first two years, it offers a simple interest rate of 4% per annum. After two years, the accumulated sum will enjoy a compound interest of 5% per annum, compounded quarterly for 3 years. Show that the amount of interest she will receive at the end of 5 years is about $38 000 (rounded to the nearest thousand). [4]

Tanjong Katong Girls’ School 4 4052/S4WA2/2026 3 The diagram shows the positions of the points X, P and Q where 4 2PQ =  is represented in the grid below.