Onlinetuition.com SPM Mathematics
Question 16:P(25o U, 70o T). Q(25o U, 50o T). R and F are four points which lie on the surface of the earth. The point R is due south from P. PV is the diameter of the earth.(a) State the latitude of V. [2 marks](b) Given that the distance of P to R measured along … Read more
Question 15:You are not allowed to use graph paper to answer this question.(a) Diagram 9.1 shows a solid prism with a rectangular base PQRS on a horizontal plane. The right-angled triangle PQU is the uniform cross section of the prism. The rectangle PUTS is an inclined plane. Edges QU and RT are vertical.Diagram 9.1Draw to … Read more
Question 14:Diagram 8 is an ogive showing the amount of money, in RM, spent on petrol in a month by a group of motorcycle riders.(a) Based on Diagram 8, complete Table 3 in the answer space. [4 marks](b) Based on Table 3, calculate the estimated mean amount of money, in RM, spent by a motorcycle … Read more
Question 13:(a) Diagram 7.1 shows point K on a Cartesian plane.Diagram 7.1 Diagram 7.1 shows point K on a Cartesian plane.Transformation P is a reflection in the line y = 1.Transformation R is a clockwise rotation of 90° about the centre (-1,0)State the coordinates of the image of point K under each of the following … Read more
Question 12:(a) Complete Table 2 in the answer space, for the equation y = –3×2 – 2x + 7. [2 marks](b)For this part of the question, use the graph paper. You may use a flexible curve rule.Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5 units on … Read more
Question 11:Diagram 6 shows a semicircle landscape garden built by Kamal at his house. The garden consists of a herbal garden and a quadrant fish pound. He plans to fence the herbal garden. Diagram 6POKQ is a straight line and K is the midpoint of OQ. It is given that PQ = 14 m and … Read more
Question 9:Table 1 shows the name of four boys and a girl in SMK Pelangi who are assigned to raise the flag during the school assembly.Table 1Two pupils are chosen at random to raise the flag.(a) List all the possible outcomes of the event for this sample space.You may use the capital letter such as … Read more
Question 7:Diagram 3 shows the straight lines PR, SQ, QT and ST drawn on a Cartesian plane. It is given that PR and ST are parallel and SQ = QT – 10 units.Diagram 3Find the equation of the straight line PR. [4 marks]Solution: Q=( x, 8 ) SQ=10 [ x−( −2 ) ] 2 + 8 … Read more
Question 6:(a) State whether the following sentence is a statement or not a statement. [1 mark] 2 x 2 +3y (b) Write down two implications based on the following statement: [2 marks] Matrix ( a b c d ) does not have the inverse if and only if ad−bc=0. (c) Make a general conclusion by induction for the sequence of the numbers 3, 38, 133, 318 which follows … Read more
Question 4:Diagram 2 in the answer space shows a rectangle door with the height of 2.5 m and the width of 1 m. The distance between P and Q is 1.2 m.(a) On Diagram 2 in the answer space, mark the angle between the door and the wall. [1 mark](b) Hence, calculate the angle of … Read more