Onlinetuition.com SPM Mathematics
Question 5:(a) Determine whether the following arguments are valid or invalid. For valid arguments, determine whether it is sound or not sound: (2 marks)Premise 1: All prime numbers are odd numbers Premise 2: 3 is the prime numberConclusion: 3 is an odd number (b) From an implication ” p if and only if q ” for … Read more
Question 3 (4 marks):Zulaikha is 1326 years old. Zulaikha’s age is twice the age of her daughter, Zahira. The ratio of Zahira’s age to the age of her younger brother, Ahmad is 7:6. Calculate the total age Zulaikha and her children in base 7.Solution:Zulaikha’s age,1326 = (1 × 62) + (3 × 61) + (2 … Read more
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