Onlinetuition.com SPM Mathematics
Soalan 15:Club staff SMK Sri Pinang wants to organise a Family Day. They plan to order same type of t-shirt for adults and children. They order x pieces of adult t-shirts and y pieces of children’s t-shirts. The order of t-shirts is based on the following constraints:I The total number of both t-shirts is at … Read more
Question 14:(a) Complete Table 4 in the answer space for the equation y = 14 + 2x – x2 by writing down the values of y when x = -2 and x = 1. [2 marks](b) For this part of question, use the graph paper provided on page 27. You may use a flexible curve … Read more
Question 13:A Selangor state-level STEM quiz competition was conducted to select a representative to the national level. Two participants were involved in the final selection, namely Faris and Danesh. The stem-andleaf plot in Diagram 8 shows the scores obtained by the two participants after several rounds.(a) Based on the scores obtained by both participants,(i) state … Read more
Question 12:(a) $$ \text { It is given that matrix } H=\left(\begin{array}{cc} 2 & 6 \\ 1 & k \end{array}\right) \text {. } $$(a) Find the value of k, if the inverse matrix of H does not exist. [2 marks](b)(i) In this year, sum of Puan Mariam’s age and her son’s age is 34 . … Read more
Question 11:Puan Lim invited 150 guests for an open house in conjunction with Chinese New Year celebration. Diagram 7 showed a cylindrical water container that has been fully filled with drinks and hexagonal glass prepared by Puan Lim.(a) Puan Lim orders her daughter to fill the glass with drinks three quarter full to serve their … Read more
Question 9:SMK Ria Idaman will hold a retirement ceremony for a teacher by decorating a stage. Diagram 6 shows the floor plan of the stage and the area to be decorated. The stage is in rectangular shape. Two quarter circles each centered at C and F respectively will be placed with ornamental grass.Given that the … Read more
Question 7:(a) Diagram 4 shows the incomplete steps in financial management process.State the step labelled R. [1 mark](b) Table 2 shows the income and expenses of Amelia and Julia in month of January.Between Amelia and Julia, who has the best financial position? Justify your answer. [3 marks]Solution:(a) R = Reviewing and revising the progress(b)Income = … Read more
Question 5:(a) Given the cos θ∘ = -0.5150 and 90∘ ≤ θ ≤ 270∘, calculate the value of θ. [2 marks](b)(i) On diagram 2 in the answer space, sketch the graph y = 1.5 cos 2x – 1 with the condition 0∘ ≤ θ ≤ 360∘. [2 marks](b)(ii) Based on the graph that has been … Read more
Question 3:Malware Internet company has 5 Internet channels labelled P, Q, R and S to send messages.Table 1 shows the number of messages that can be sent by each channel.Draw a graph with multiple edges and loops based on the given information. Hence, determine the sum of degrees.[3 marks]Solution:$$ \begin{aligned} \text { Sum of degrees } … Read more
Question 1:The time taken, t in hour, to mow a lawn varies directly as the area of a field, L in m2, and inversely as the number of workers, w. Given that 5 workers need 3 hours to mow the grasses of the field with area of 4 × 104 m2.(a) Find the equation that relate … Read more