Onlinetuition.com SPM Additional Mathematics
Question 15:Table 3 shows information related to five cake ingredients J, K, L, M and N used by a baker in his business.Table 3 The composite index for the cost of making the cakes in the year 2020 based on the year 2016 is 136.(a)(i) Find the value of x and of y.(ii) Calculate the … Read more
Question 13:Solution by scale drawing is not accepted.Diagram 6 shows a quadrilateral ABCD such that AC and BD are straight lines.Diagram 6It is given that the area of ∆ABC = 6 cm2 and ∠ABC is obtuse.(a) Find(i) ∠ABC,(ii) the length, in cm, of AC,(iii) ∠BAC [7 marks](b) Given BD = 7.3 cm and ∠BCD … Read more
Question 11:Use a graph paper to answer this question.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 y= a x b , where a and b are constants.Table 2(a) Based on Table 2, construct a table for the values … Read more
Question 10: ( a )(i) Prove tan A 2 = 1−cosA sinA . ( ii ) Hence, without using calculator, find the value of tan15 o . State your answer in the form p− q , where p and q are constants. (b)( i ) Sketch the graph of y=− 3 2 sinA for 0≤A≤2π. ( ii ) Hence, using the same axes, sketch a suitable straight line to find the number of solutions for the equation ( cot A 2 )( 1−cosA )=− A 2π for 0≤A≤2π. State the number solutions. Solution:(a)(i) Right hand side, 1−cosA sinA = 2 sin 2 A 2 2sin A 2 … Read more
Question 9:Solution by scale drawing is not accepted.Diagram 5 shows the path of a moving point P(x, y). P always moves at a constant distance from point A.Diagram 5B(–1, –2) and R(–5, q) lie on path of point P. The straight line BC is a tangent to the path andintersects the x-axis at point C.Find(a) … Read more
Question 8:Diagram 4 shows a dart’s target board at a dart game booth in a funfair.Diagram 4The booth offers 3 darts per game. The customers have to pay RM5 to play a game. A toy bear will be given to customers who are able to hit the bullseye for the three darts’ throws in a … Read more
Quesion 7:A metal solid is formed by combining a cone and a cylinder with common radius, r cm. The totalsurface area of the solid, A cm2, is given by A=2π( 18 r + r 2 3 ). (a)(i) The solid expands when heated. It is given that the surface area of the solid changes at … Read more
Question 6:Solution by scale drawing is not accepted.Diagram 3 shows the positions of jetty O and kelongs K, L, R, S and T in the sea.Diagram 3Kelong L is situated 400 m from jetty O and kelong R is situated 600 m from jetty O in the direction of OL. Kelong S is situated 300 … Read more
Question 5:Table 1 shows the deviation from the mean mark scored by Nora in a monthly test. The deviation from the mean mark for Sejarah has been left out.Table 1It is given that her mean mark for all the 9 subjects is 60.Find(a) the median mark, [4 marks](b) the standard deviation. [3 marks]Solution:(a) Mean mark=60 450+m … Read more
Question 4:Diagram 2 shows the curve y = 4x – x2 and tangent to the curve at point Q passes point P.Diagram 2(a) Show that h = 3. [4 marks](b) Calculate the area of the shaded region. [4 marks]Solution:(a) y=4x− x 2 dy dx =4−2x At point Q( h, 4h− h 2 ) dy dx =4−2h Equation of tangent at Q y− … Read more