SPM Mathematics 2018, Paper 2 (Questions 15 & 16)

Question 15 (12 marks):You are not allowed to use graph paper to answer this question.(a) Diagram 11.1 shows a solid prism with a rectangular base JKLM on a horizontal plane. The surface MQRSTL is the uniform cross section of the prism. Triangle STU and PQR are horizontal planes. Edges PJ, RS and UK are vertical. PQ = TU = 3 cm.Diagram 11.1Draw to full scale, the elevation … Read more

SPM Mathematics 2018, Paper 2 (Questions 13 & 14)

Question 13 (12 marks):(a) Diagram 9.1 shows point P (5, 1) on a Cartesian plane.Diagram 9.1Transformation T is a translation  (  4 −3 ) Transformation S is an enlargement about the centre (–5, 2) with a scale factor 2.State the coordinates of the image of point P under the following transformations:(i) T2,(ii) TS.(b) Diagram  9.2 shows geometrical shapes KLMNP, KSRQP and KTUVW drawn on … Read more

SPM Mathematics 2018, Paper 2 (Questions 11 & 12)

Question 11 (6 marks):Diagram 8 shows sectors OABC and ODE with the common centre O respectively.Diagram 8Calculate(a) the perimeter, in cm, of the whole diagram,(b) the area, in cm2, of the shaded region.Solution:(a) Perimeter of the whole diagram =OP+PE+Arc DE+DC +Arc CBA+AO =10+5+( 50 o 360 o ×2× 22 7 ×15 )+5 +( 230 o 360 o ×2× 22 7 ×10 )+10 =30+ 275 21 + 2530 … Read more

SPM Mathematics 2018, Paper 2 (Questions 7 & 8)

Question 7 (6 marks):Diagram 6 shows two parallel straight lines, JK and LM, drawn on a Cartesian plane.The straight line KM is parallel to the x-axis.Diagram 6Find(a) the equation of the straight line KM,(b) the equation of the straight line LM,(c) the value of k.Solution:(a)The equation of the straight line KM is y = 3(b) Given, equation of JK: 2y=4x+3 y=2x+ 3 2 Thus,  m JK =2 m … Read more