Onlinetuition.com SPM Mathematics
Question 15:(a) Table 4.1 show/s the tax exemption and tax relief of Encik Ali in the year 2023.Calculate the total tax relief that can be claimed by Encik Ali for that year.[2 marks](b) In the year 2023, Encik Ali’s chargeable income was RM73 000. His wife’s chargeable income is RM5 000 less than his. Table … Read more
Question 14:A factory produces premium handbags and exclusive handbags. The weekly production targets are as follows:– The maximum number of premium handbags produced is 42 .– The number of exclusive handbags produced is at most two times the number of premium handbags produced.(a) Using x to represent the number of premium handbags and y to … Read more
Question 13:(a) Diagram 10.1 is a Venn diagram that shows the favourite activities of three students. It is given thatuniversal set, ξ = A ∪ B ∪ C,set A = {Azmil’s favourite activities},set B = {Beng’s favourite activity},set C = {Canny’s favourite activities}.(i) Using the set notation, list the activities that are(a) Azmil’s favourite activities … Read more
Question 12:Diagram 9 shows the marks obtained by 15 students in a Mathematics test.(a)(i) On the graph in the answer space, draw a box plot for these marks.[3 marks](ii) Calculate the mean mark.[2 marks](iii) State the distribution shape of the data.[1 mark](b) The marks are adjusted by subtracting 2 marks from the current mark of … Read more
Question 11:(a) Diagram 8.1 shows two quadrilaterals, PQRS and TUVW.Quadrilateral TUVW is the image of quadrilateral PQRS under a rotation.State the corresponding side of QR and the corresponding angle of ∠TWV.[2 marks]Answer:(a) Corresponding side: …………………………corresponding angle: …………………………..(b) Diagram 8.2 in the answer space shows two pentagons. Pentagon XWVUT is the image of pentagon PQRST under … Read more
Question 9:Diagram 6 shows graph OABCD and graph OPQRS. Graph OABCD represents the motion of particle X and graph OPQRS represents the motion of particle Y.(a) State the uniform speed, in m s-1, of particle X.[1 mark](b)(i) find the rate of change of speed, in m s-2, of particle Y for the first 5 seconds.[1 … Read more
Question 7:Razi has a monthly net salary of RM3 800. Table 2 shows his expenses in May.(a) Based on Table 2, state one of Razi’s fixed expenses.[1 mark](b) Razi plans to save 80% of his excess cash flow for a car down payment.Calculate the amount he would save in May.[3 marks]Answer:(a)House rent / Insurance premium(b)$$ … Read more
Question 5:Diagram 4 shows a cuboid with a volume of 120 000 cm3.The length of the cuboid is 10 cm more than its width, w cm.(a) Show that w2 + 10 w – 2000 = 0.[2 marks](b) Hence, find the width of the cuboid.[2 marks]Answer:(a)$$ \begin{aligned} \text { Volume } & =(w+10)(w)(60) \\ 120000 & … Read more
Question 3:Diagram 2 shows a pyramid with a square base, PQRT.It is given that S is the midpoint of RT and V is 3.5 m vertically above point W.(a) Name the angle of elevation of V from S.[1 mark](b) Hence, calculate the value of the angle of elevation.[2 marks]Answer:(a)$$ \angle V S W \text { … Read more
Question 1:(a) State whether each of the following sentences is a statement or not a statement.(i) 4 is a multiple of 2.(ii) y = 2x + 5[2 marks](b) Diagram 1 shows an implication.(i) Write down the inverse of the implication.(ii) Hence, determine the truth value of the inverse.[2 marks]Answer:(a)(i) Statement(a)(ii) Not a statement(b)(i)$$ \text { … Read more