myhometuition, Author at SPM Additional Mathematics

SPM Practice 2 (Question 8 – 10)

January 21, 2022July 28, 2020 by

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

SPM Practice 2 (Question 6 & 7)

January 21, 2022July 27, 2020 by

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

SPM Practice 2 (Question 4 & 5)

January 21, 2022July 26, 2020 by

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

SPM Practice 2 (Question 1 – 3)

January 21, 2022July 25, 2020 by

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

5.6.2 Progressions, SPM Practice

February 15, 2022July 5, 2020 by

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

5.6.1 Progressions, SPM Practice (Paper 2)

January 21, 2022July 4, 2020 by

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

5.5.3 Geometric Progressions, SPM Practice (Paper 1)

January 21, 2022July 2, 2020 by

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

5.5.2 Geometric Progressions, SPM Practice (Paper 1)

January 21, 2022June 30, 2020 by

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

5.5.1 Geometric Progressions, SPM Practice (Paper 1)

January 21, 2022June 28, 2020 by

Question 1: The fourth term of a geometric progression is –20. The sum of the fourth and the fifth term is –16. Find the first term and the common ratio of the progression. Solution: Question 2: The fourth and the seventh terms of a geometric progression are 18 and 486 respectively. Find the third term. … Read more

5.3.3 Arithmetic Progressions, SPM Practice (Paper 1)

January 21, 2022June 12, 2020 by

Question 11: An arithmetic progression consists of 10 terms. The sum of the last 5 terms is 5 and the fourth term is 9. Find the sum of this progression. Solution: Question 12: The sum of the first 6 terms of an arithmetic progression is 39 and the sum of the next 6 terms is … Read more