Onlinetuition.com SPM Additional Mathematics
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
Question 8:The variables x and y are related by the equation y= p 3 x , where k is a constant. Diagram below shows the straight line graph obtained by plotting log 10 y against x. Express the equation y= p 3 x in its linear form used to obtain the straight line graph … Read more
Question 6:The variables x and y are related by the equation y=p x 3 , where p is a constant. Find the value of p and n. Solution: Question 7:Diagram A shows part of the curve y=a x 2 +bx . Diagram B shows part of the straight line obtained when the equation … Read more
Question 4:The diagram shows part of the straight line graph obtained by plotting y x against x .Given its original non-linear equation is y=px+q x 3 2 . Calculate the values of p and q.Solution: Question 5:The diagram below shows the graph of the straight line that is related by the equation x y … Read more
Question 1:Reduce non-linear relation, y=p x n−1 , where k and n are constants, to linear equation. State the gradient and vertical intercept for the linear equation obtained.[Note : Reduce No-linear function to linear function] Solution: Question 2:The diagram shows a line of best fit by plotting a graph of y 2 against x … Read more
Question 3: An arithmetic progression has 16 terms. The sum of the 16 terms is 188, and the sum of the even terms is 96. Find (a) the first term and the common difference, (b) the last term. Solution: (a) Let the first term = a Common difference = d Given S 16 =188 … Read more
Question 1: Diagram below shows part of an arrangement of bricks of equal size. The number of bricks in the lowest row is 100. For each of the other rows, the number of bricks is 2 less than in the row below. The height of each brick is 7 cm. Rahman builds a wall by … Read more
Question 11: Express the recurring decimal 0.187187187 … as a fraction in its simplest form. Solution: Question 12: Given that 1 p =0.1666666….. =q+a+b+c+….. where p is a positive integer. If q = 0.1 and a + b + c are the first three terms of a geometric progression, state the value of a, b and … Read more
Question 6: The first three terms of a sequence are 2, x, 18. Find the positive value of x so that the sequence is (a) an arithmetic progression, (b) a geometric progression. Solution: Question 7: Given a geometric progression 2 z , 3, 9z 2 , q,…. express q in terms of z. Solution: Question 8: The … Read more