2022 GMSS Sec 2 EOY Math

Candidate Name Class Index Number ___________________________________________________________ MATHEMATICS Paper 1 Sec 2 Express Candidates answer on the Question Paper. 1 hour 15 minutes Setter : Mr Wong Han Ming Mr Kenneth Soh 06 Oct 2022 READ THESE INSTRUCTIONS FIRST Write your name, index number and class on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all questions The number of marks is given in brackets [ ] at the end of each question or part question. If working is needed for any question, it must be shown in the space below the question. Omission of essential working will result in the loss of marks. The total number of marks for this paper is 50. You are expected to use a scientific calculator to evaluate explicit numerical expressions. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to 3 significant figures. Give answers in degrees to one decimal place. For π, use either your calculator value or 3.142. For Examiner’s Use This document consists of 13 printed pages and 3 blank pages. [Turn over Geylang Methodist School (Secondary) End-of-Year Examination 2022 50

GMS(S)/EM/P1/EOY2022/2EXP 2 Mathematical Formulae Compound interest Total amount = n rP      + 1001 Geometry and Measurement Curved Surface Area of a cone = rl Surface Area of a sphere = 24 r Volume of a cone = hr 2 3 1  Volume of a sphere = 3 3 4 r

GMS(S)/EM/P1/EOY2022/2EXP 3 Answer all the questions. 1 (a) Express 26.5% as a fraction in its simplest form. Answer [1] 2 5 cm on a map represents 8 km on the ground. (a) Calculate the distance between two houses, in km, which is represented by 5.5 cm on the map. Answer km [2] (b) Express the ratio of 6 kg to 350 g in its simplest form. Answer : [1] (b) Calculate the area of a park on the map, in cm2, if the actual area is 7.168 km2. Answer cm2 [2]

GMS(S)/EM/P1/EOY2022/2EXP 4 3 Simplify the following expressions. (a) 3 2 38 49 ab ba Answer [1] (b) 2 3 1 2 5 6 6 x x x x − −− − − Answer [3] (c) 2 3 2 8 6 12 5 10 xx yy −−  Answer [3]

GMS(S)/EM/P1/EOY2022/2EXP 5 4 (a) A polygon has n sides. Three of its exterior angles are 20°, 21° and 22°. The remaining exterior angles are 27° each. Find the value of n. Answer n = [2] (b) Find the sum of all its interior angles of the polygon in part (a). Answer ° [2]

GMS(S)/EM/P1/EOY2022/2EXP 6 5 Expand and simplify the following completely. (a) x – 3(x + 2) Answer [1] (b) (2a + 5)(a – 2) – (3a + 2)(2a – 5) Answer [3] 6 Given that (x – y)2 = 30, and xy = 3, find the value of 22xy + . Answer [3]

GMS(S)/EM/P1/EOY2022/2EXP 7 7 A handbag, originally priced at $1599 was sold at a discount of x%. If Janet bought the handbag for $1327.17, find the value of x. Answer x = [2]

GMS(S)/EM/P1/EOY2022/2EXP 8 8 A solid triangular prism, with an equilateral triangle cross-sectional area, is shown below. (a) Find the volume of the prism. Answer cm3 [4] 20 cm 5 cm

GMS(S)/EM/P1/EOY2022/2EXP 9 (b) The prism is painted on all surfaces and the cost of painting 10 cm2 of the prism is $2.80. Calculate the total cost of painting the prism. Answer $ [3]

GMS(S)/EM/P1/EOY2022/2EXP 10 9 A triangular field ACD is shown below. AB = 12 m, BC = 3 m and angle DBC = 90°. Triangle ABD is similar to triangle DBC. (a) Find the length of BD. Answer m [3] (b) A pole, TA, is erected at point A. The top of the pole, T, makes an angle of 20° with the horizontal at point C. Find the height of TA. Answer m [2] A C D 12 3 B