Onlinetuition.com SPM Additional Mathematics
Question 5: Given ∫ ( 6 x 2 +1 )dx=m x 3 +x +c, where m and c are constants, find (a) the value of m. (b) the value of c if ∫ ( 6 x 2 +1 )dx=13 when x=1. Solution: (a) ∫ ( 6 x 2 +1 )dx=m x 3 +x +c 6 x 3 3 +x+c=m x 3 +x+c 2 x 3 +x+c=m x 3 +x+c Compare the both sides, ∴ m=2 (b) … Read more
3.4c Integration as the Inverse of DifferentiationExample: Shows that d dx [ 2x+5 x 2 −3 ]= −2( x 2 +5x+3 ) ( x 2 −3 ) 2 Hence, find the value of ∫ 0 2 ( x 2 +5x+3 ) ( x 2 −3 ) 2 dx Solution: d dx [ 2x+5 x 2 −3 ]= ( x 2 … Read more
Download our free App. SPM Add. Maths (Model Test Paper) Paper 2 Section A (Question only) Paper 2 Section B & C (Question only) Paper 2 Section A (Question and Answer) Question 1 & 2 Question 3 & 4 Question 5 & 6 Paper 2 Section B (Question and Answer) Question 7, Question 8, Question 9 Question … Read more
Question 5: Table below shows the prices, the price indices and the proportion of four materials, A, B, C and D used in the production of a type of bag. Material Price (RM) for the year Price index in the year 2014 based on the year 2011 Proportion 2011 2014 A x 7.20 120 7 B 8.00 9.20 115 3 … Read more
Question 4: Table below shows the prices and the price indices for the four ingredients P, Q, R and S, used in making biscuits of a particular kind. Diagram below is a pie chart which represents the relative amount of the ingredients P, Q, R and S, used in making biscuits. (a) Find the value of x, y and z. … Read more
Question 3: Diagram below is a bar chart indicating the weekly cost of the items A, B, C, D and E for the year 2000. Table below shows the prices and the price indices for the items. (a) Find the value of (i) x (ii) y (iii) z (b) Calculate the composite index for items in … Read more
Question 7:Diagram below shows a quadrilateral ABCD where the sides AB and CD are parallel. ∠BAC is an obtuse angle.Given that AB = 14 cm, BC = 27 cm, ∠ACB = 30o and AB : DC = 7 : 3.Calculate(a) ∠BAC.(b) the length, in cm, of diagonal BD.(c) the area, in cm2, of quadrilateral ABCD.Solution: … Read more
Question 7:Diagram below shows quadrilateral OPBC. The straight line AC intersects the straight line PQ at point B. It is given that OP → = a ˜ , OQ → = b ˜ , OA → =4 AP → , OC → =3 OQ → , PB → =h PQ → and AB → =k AC → . … Read more
Question 5: Diagram below shows a triangle KLM. It is given that KP:PL=1:2, LR:RM=2:1, KP → =2 x ˜ , KM → =3 y ˜ . (a) Express in terms of x ˜ and y ˜ , (i) MP → (ii) MR → (b) Given x ˜ =2 i ˜ and y ˜ =− i ˜ +4 j ˜ , find | MR | → . … Read more
Question 9: Solution by scale drawing is not accepted. Diagram 3 shows three points, A, B and D in a Cartesian plane. The straight line AB is perpendicular to straight line BD which intersect the y-axis at D. The equation of the line BD is y = 2x – 5. (a) Find the equation of the … Read more