Onlinetuition.com SPM Additional Mathematics
Question 13 (10 marks):Table 2 shows the prices and the price indices of three types of ingredients P, Q and R, used in the production of a type of instant noodle.(a) The price of ingredient Q increased by 20% from the year 2014 to the year 2016.(i) State the value of x.(ii) Find the value … Read more
Question 10 (10 marks):(a) Prove that 2 tan x cos2 x = sin 2x.(b) Hence, solve the equation 4 tan x cos2 x = 1 for 0 ≤ x ≤ 2π.(c)(i) Sketch the graph of y = sin 2x for 0 ≤ x ≤ 2π.(c)(ii) Hence, using the same axes, sketch a suitable straight line … Read more
Question 8 (10 marks):Diagram 5 shows a triangle ABC. The straight line AE intersects with the straight line BC at point D. Point V lies on the straight line AE. It is given that BD → = 1 3 BC → , AC → =6 x ˜ and AB → =9 y ˜ . ( a ) Express in terms of x ˜ … Read more
Question 6 (6 marks):Diagram 4 shows a cylindrical container with the length of 20 cm placed on the floor against the wall. W is the point on the edge of the base of the container. It is given that the distance of point W is 2 cm from the wall and 1 cm from the … Read more
Question 4 (7 marks):Diagram 2 shows part of a rectangular wall painted with green, G, blue, B and purple, P subsequently.The height of the wall is 2 m. The side length of the first coloured rectangle is 5 cm and the side length of each subsequent coloured rectangle increases by 3 cm.It is given that … Read more
Question 1 (5 marks):Solve the following simultaneous equations:x – 3y = 1,x2 + 3xy + 9y2 = 7Solution: x−3y=1……………….( 1 ) x 2 +3xy+9 y 2 =7……………….( 2 ) From ( 1 ):x=3y+1……………….( 3 ) Substitute ( 3 ) into ( 2 ): ( 3y+1 ) 2 +3( 3y+1 )y+9 y 2 =7 9 y 2 +6y+1+9 y 2 … Read more