SPM 2024 Paper 2

Question 15:Table 4 shows information for four ingredients used to produce a type of biscuit.(a) Find the value of x, of y and of z.[3 marks](b) The composite index for the production cost of the biscuit in the year 2023 with 2022 as the base year is 135.(i) Find the ratio of ingredient A to … Read more

Question 14:Solution by graph sketching is not accepted.Particle P moves along a straight line such that fixed points A and B lie on the straight line. Its velocity, in m s-1, is given by v = 3t2 + 4t – 15, such that t is the time, in seconds, after passing through point A towards … Read more

Question 13:Mus wants to sell two types of crisps. Table 3 shows information relating to the two types of crisps.(a) Mus has RM125 to buy the two types of crisps.Write an inequality to represent this constraint.[1 mark](b) The shaded region on the graph on page 150 represents the second constraint.Write an inequality to represent the … Read more

Question 12:Diagram 6.1 shows the triangular cardboard MFH.(a) Based on Diagram 6.1, derive the cosine rule for side MH.(b) The cardboard is placed into a cuboid as shown in Diagram 6.2.[3 marks]It is given that M is the midpoint of side AB.(i) Find ∠MFH.(ii) It is given that ΔM’F’H’ has a different shape from ΔMFH such … Read more

Question 11:Solution by scale drawing and / or vector are not accepted. Diagram 5 shows the triangle PQR on a Cartesian plane.It is given that the gradient of the straight lines PQ, QR and PR is -3m, m and 3m respectively, such that m is a constant.(a) Show that m = ½.[2 marks](b) Find the … Read more

Question 10:Diagram 4 shows the curve y = px3, such that p is a constant. The tangent to the curve at point A intersects the y-axis at B(0, -4).Calculate(a) the value of p, [4 marks](b) the area of the shaded region, [4 marks](c) the volume generated, in terms of π, when the region bounded by … Read more

Question 9:Table 2.1 shows the values of two variables, x and y, obtained from an experiment. The variables x and y are related by the equation y = a/ b–x, such that a and b are constants.(a) Based on Table 2.1, fill in the Table 2.2.[1 mark](b) Plot 1/y against x, using a scale of … Read more

Question 7:Diagram 3 shows a symmetrical tube such that points A and B are on the same level.A marble is released from point A and moves through the tube towards point B until it stops instantaneously for the first time at point C.The marble will move back and forth through the tube until it stops … Read more

Question 6:Table 1 shows the categories for body mass index of a group of male workers in a company. The body mass index is normally distributed.It is given that 44% of the workers are categorised as either underweight or normal weight while 12% were categorised as obese. It is found that, 1 out of n … Read more

Question 4:Diagram 2 shows the triangle ABC, AR is parallel to PQ.$$ \text { It is given that } \overrightarrow{C B}=6 \underline{u}, \overrightarrow{C A}=5 \underline{v} \text { and } \overrightarrow{A R}=\frac{2}{5} \overrightarrow{A B} \text {. } $$$$ \text { (a) Express in terms of } \underline{u} \text { and } \underline{v} \text { : } … Read more