SPM 2017

Question 15 (12 marks):You are not allowed to use graph paper to answer this question.(a) Diagram 9.1 shows two solid right prisms joined at the vertical plane EGLK. The planes JKL and MNP are the uniform cross sections of the prism HEGLJK and prism EFGMNP respectively. The base EFGH is a rectangle which lies on a horizontal plane. Edges HJ and EK are vertical.Diagram 9.1Draw, to full scale, the plan of the … Read more

Question 13 (12 marks):(a) Diagram 7.1 shows K (5, 1) drawn on a Cartesian plane.Diagram  7.1Transformation T is a translation  ( −3  4 ) Transformation P is a reflection in the line y = 2.State the coordinates of the images of point K under each of the following transformations:(i) T2,(ii) TP.(b) Diagram 7.2 shows two pentagons KLMNP and QRSTU, drawn on a Cartesian plane.Diagram  7.2(i) … Read more

Question 11 (6 marks):Diagram 6 shows the distance-time graph of Ursula, Janet and Maria in a 100 m race.Diagram 6(a) Who won the race?(b) During the race, Ursula slipped and fell over. After that, she continued her run.State the duration, in seconds, before Ursula continued her run.(c) During the race, Janet was injured and she stopped running.State Janet’s … Read more

Question 9 (6 marks):A bag contains five cards, labelled with the letters I, J, K, M and U.One card is picked at random from the bag and the letter is recorded. Without replacement, another card is picked at random from the bag and the letter is also recorded.(a) Complete the sample space in the answer space.(b) By listing all … Read more

Question 7 (5 marks):During the sport day, students used coupons to buy food and drink. Ali and Larry spent RM31 and RM27 respectively. Ali bought 2 food coupons and 5 drinks coupons while Larry bought 3 coupons and 1 drinks coupon.Using the matrix method, calculate the price, in RM, of a food coupon and of … Read more

Question 5 (5 marks):(a) State whether the following compound statement is true or false.2 > 3 and (–2)3 = –8(b) Write down two implications based on the following statement:a > b if and only if a – b > 0(c) Table 1 shows the number of sides and the number of axes of symmetry for … Read more

Question 3 (4 marks):Diagram 2 shows a composite formed by joining a quarter cylinder and a right prism at the rectangular plane EFGH. The trapezium ABGF and the quarter circle FGK are the uniform cross sections of the solid.Diagram 2Using   π= 22 7 , calculate the volume, in  cm3, of the composite solid.Solution: Volume of FGK = 1 4 ( … Read more

Question 1 (3 marks):The Venn diagram in the answer space shows set P, set Q and set R such that the universal set ξ = P U Q U R.On the diagram in the answer space, shade the set(a) P’,(b) (P ∩ Q) U RAnswer:Solution: (a) (b) Question 2 (3 marks):Diagram 1 shows a right prism with … Read more