Bukit View 2023 Prelim 4N Math P1 Marking Scheme

4NA Mathematics Paper 1 Prelim 2023 (Marking Scheme)Answer all the questions.1.List the following numbers in descending order, starting with the largest.1.82 342 3.14342 1.82  3.14 ------ B1 for 2 correct positions------B2 for all correctAnswer ……..….…, …………... , ……...……, ……...….. [2] (largest) (smallest)-------------------------------------------------------------------------------------------------------------------------2.(a) Solve the inequality 438y.438y9.5y ------ B1Answer …….…..……….……… [1](b) Find the smallest integer satisfying 438y. – 9 ------ B1Answer …….…..……….……… [1]-------------------------------------------------------------------------------------------------------------------------3.Factorise 362xypyxqpq completely. 362xypyxqpq= (3)2(3)yxpqxp= (2)(3)yqxp ------ M1 (first line factorisation)------ A1 Answer ………………………… [2]

24.Draw a reduction of the figure using a scale factor of 23.Answer ----------- B2/1/0[2]-------------------------------------------------------------------------------------------------------------------------5.Solve 15)1(3x.15)1(3x 3315x3153x312x4x------ M1 (expand)------ A1 / B115)1(3x1513x15x4x ------ M1 (÷3)------ A1 / B1Answer x = ………..………………. [2] -------------------------------------------------------------------------------------------------------------------------

36.Quadrilaterals ABCD and PQRS are similar.All the lengths are in centimetres.(a)Calculate x. Since figures are similar:668x 8364.5xxcm ------ M1 (O.E)------ A1 / B2Answer x = …..……………………. [2](b)Find y in terms of z.68yz 34zy ------ B1Answer y = ………..………………. [1] -------------------------------------------------------------------------------------------------------------------------7.2, 9, 16, 23, 30, …(a)Write down the next 2 terms in the sequence. 37 , 44 ----- B1 Answer …………..… , …………..… [1](b)Find an algebraic expression for the nth term in the sequence.7n – 5 ----- B2Answer …………..………………..… [2](c)Find the 154th term of this sequence.7(154) – 5 = 1073 ----- B1 Answer …………..………………..… [1] PQRSx6y72°8ABCD68z72°

48.It is given that y is inversely proportional to the square of x. When x = 6, y = 4.Find the value(s) of x when y =100. 2kyx (where k is a constant)246k436k144k 2144yxwhen y =100, 2144100x2144100x21.44x1.44x 1.2x ----- M1 (finding k correctly to inverse proportion)----- M1 (Substituting 100 correctly ‘their’ equation)----- A1Answer x = ….………………………. [3]-------------------------------------------------------------------------------------------------------------------------9.In the diagram, ABC is straight line, angle BAD = 90, AD = 3 cm and BD = 7 cm.(a)Write sin x as a fraction.sin x = sin (180 – x) = 37 ----- B1 Answer ………………………… [1](b)Find y. cos y = 37 13cos7y = 64.6----- M1 (O.E, students may use sin ratio to find other angle f