Onlinetuition.com SPM Additional Mathematics
Question 13:Solutions by graph sketching are not accepted.A particle moves along a straight line from a fixed point O. Diagram 7 shows the velocity-time graph of the particles motion.[Assume motion to the right is positive](a) State(i) the time, in seconds, when the particle stops instantaneously,(ii) the range of times, in seconds, when the particle moves … Read more
Question 12:Solutions by scale drawing is not accepted.Diagram 6 shows a model. The model consists of a vertical wall ABCD and a horizontal floor CDEF. CDEF is a parallelogram.(a) Calculate(i) the length, in cm , of CF,(ii) the area, in cm2, of Δ ACE.[6 marks](b) A pole has a length of 5 cm . It … Read more
Question 11:Table 2 shows the values of two variables, x and y, obtained from an experiment. The variables x and y are related by the equation xa = by, such that a and b are constants.(a) Based on Table 2, construct a table for the values of log10x and log10y. [2 marks](b) Plot log10y against … Read more
Question 10:Solutions by scale drawing and vector are not accepted.Diagram 5 shows four points A, B, C and D on a Cartesian plane.(a) It is given that points B, C and D are collinear such that BC : CD = 1 : 3.(i) Find the coordinates of D in terms of h.(ii) Hence, calculate the … Read more
Question 9:(a) It is found that 75% of the students in SMK Permai go to school by bus.If 8 students are chosen at random from the school, find the probability that at most 2 of them do not go to school by bus.[3 marks](b) The mass of fish reared in a pond is normally distributed … Read more
Question 8:Diagram 4 shows a curve and the tangent to the curve at point A.Find(a) the value of p, [1 mark](b) the area of the coloured region, [4 marks](c) the volume generated, in terms of π, when the shaded region is revolved through 180o about the y-axis. [4 marks] Answer:(a)$$ \begin{aligned} & y=x^2-9 \ldots (1)\\ … Read more
Question 7:Diagram 3 shows a shape formed by a combination of four sectors and a square ABCD.A, B, C and D are the centres of sectors BAD, PBQ, BCD and PDQ. respectively. It is given that AB = 5 cm and the length of the straight line PQ which passes through points A and C … Read more
Question 6:There are two geometric progressions, A and B . The first term of A is 8 and the first term of B is 4 . Both progressions have the same sum to infinity. The sum of the 3rd terms of A and B is 9/4. The tenth term of A is negative.A student states … Read more
Question 5: It is given that (2x + 3) is one of the factors of f(x) = x (5 – 2x) + m, such that m is a constant. (a) Find the value of m. [3 marks](b) By using the method of completing the square, express f(x) in the form, f(x) = a(x – h)2 + … Read more
Question4:(a) Diagram 2 shows the graph of y = tanx + c for 0 ⩽ x ⩽ p, such that c and p are constants.State the value of c and of p. [2 marks](b) For the following questions, give your answer in the simplest fraction form in terms of π radians.(i) Solve the equation 2 … Read more