Onlinetuition.com SPM Mathematics
Question 17(a):Water rocket competition is getting popular among students in Malaysia.(a) Diagram 12 shows the path of the water rocket recorded using a stroboscope when it is launched on vertical plane that is drawn on a Cartesian plane.(i) The path of the water rocket is represented by the quadratic function, f(x)=ax2 + bx + c. … Read more
Question 16(a):Sirhan is an archery coach.(a) Sirhan is preparing a field for archery. He wants to construct two perpendicular lines using three posts and string. Diagram 10 shows a plan of the archery field with the three posts P, Q and R.Based on Diagram 10,(i) name the shape formed by the three posts, [1 mark](ii) … Read more
Question 15:$$ \text { (a) It is given that }\left[\begin{array}{cc} 7 & -2 \\ x+3 & 4 \end{array}\right]=\left[\begin{array}{cc} 7 & 5 y \\ -1 & 4 \end{array}\right] \text {. } $$Determine the value of x and of y. [2 marks](b) A supermarket sells boxes of sushi and pieces of fried chicken.(i) Lily spent RM55 on … Read more
Question 14:The depth of water in a watershed varies over time. When the height of the water reaches the maximum level, a water gate opens to release water until the water level returns to its minimum. Diagram 8 shows a complete cycle of the depth of water, in m, in the watershed.(a) Based on Diagram … Read more
Question 13:Five friends were asked which activities they like from bowling, badminton and hiking. Table 9.1 shows which of these activities each of the five friends like. Diagram 7.1 shows an incomplete graph to represent the information in Table 9.1.(a) State the label which should be used for:(i) Vertex Q,(ii) Edge k. [2 marks](b) Fahad … Read more
Question 12:(a) Table 8 shows the total expenditure, of customers at a supermarket on two different days. Based on Table 8,(i) State the size of class interval and the range of the data. [2 marks](ii) Find the value of x if the total number of customers on that day is 68. [2 marks](b) For this … Read more
Question 11:(a) State two types of financial goals. [1 mark](b) Table 7 shows Encik Rasheed’s monthly financial plan.(i) Based on Table 7, determine Encik Rasheed’s cash flow and state the type of the cash flow. [3 marks](ii) Encik Rasheed has a financial goal of saving enough money to get married within a year. He needs … Read more
Question 9:Diagram 5 shows an equilateral triangle ABC drawn on a Cartesian plane. Points P,Q and R are the midpoints of lines BC, AC and AB respectively.(a) State whether triangles APB and BQC are congruent. Justify your answer. [1 mark](b) Triangle PQR is the image of triangle ABC under a single transformation. Describe fully, the … Read more
Question 7:Table 4 shows information about Helen’s insurance policy plan in 2022.(a) In 2022, Helen was admitted to hospital and the cost of her treatment was RM1 050. Would the insurance company bear the cost of the treatment? Explain. [1 mark](b) Helen underwent surgery in a hospital in 2022 and the cost of the surgery … Read more
Question 5: Table 3 shows the competitions joined by a group of students.(a) Complete the Venn diagram in the answer space. [2 marks](b) Hence, find(i) the number of students who joined one competition only, [1 mark](ii) the number of students who did not join both the colouring and cooking competitions. [2 marks] Solution:(a)(b)(i)Number of students … Read more