 ## SPM Additional Mathematics 2017, Paper 1 (Question 23 – 25)

Question 23 (4 marks):A set of data consists of 2, 3, 4, 5 and 6. Each number in the set is multiplied by m and added by n, where m and n are integers. It is given that the new mean is 17 and the new standard deviation is 4.242.Find the value of m and … Read more

## SPM Additional Mathematics 2017, Paper 1 (Question 20 – 22)

Question 20 (4 marks):Table 1 shows the distribution of marks for 40 students in an Additional Mathematics test. The number of students for the class interval 40 – 59 is not stated.Table 1(a) State the modal class.(b) Puan Zainon, the subject teacher, intends to give a reward to the top ten students. Those students who … Read more

## SPM Additional Mathematics 2017, Paper 1 (Question 17 – 19)

Question 17 (3 marks):It is given that ∫ 5 ( 2x+3 ) n dx= p ( 2x+3 ) 5 +c , where c, n and p are constants.Find the value of n and of p.Solution: ∫ 5 ( 2x+3 ) n dx= ∫ 5 ( 2x+3 ) −n dx = 5 ( 2x+3 ) −n+1 … Read more

## SPM Additional Mathematics 2017, Paper 1 (Question 14 – 16)

Question 15 (4 marks):It is given that cos α = t where t is a constant and 0o ≤ α ≤ 90o.Express in terms of t(a) sin (180o + α),(b) sec 2α.Solution: (a) sin( 180 o +α ) =sin180cosα+cos180sinα =0−sinα =−sinα =− 1− t 2 (b) sec2α= 1 cos2α  = 1 2 cos 2 α−1 … Read more

## SPM Additional Mathematics 2017, Paper 1 (Question 11 – 13)

Question 11 (4 marks):The quadratic function f is defined by f(x) = x2 + 4x + h, where h is a constant.(a) Express f(x) in the form (x + m)2 + n, where m and n are constants.(b) Given the minimum value of f(x) is 8, find the value of h.Solution: (a)f(x) = x2 + … Read more

## SPM Additional Mathematics 2017, Paper 1 (Question 8 – 10)

Question 8 (3 marks):It is given that the sum of the first n terms of an arithmetic progression is S n = n 2 [ 13−3n ]  Find the nth term.Solution: S n = n 2 [ 13−3n ] S n−1 = n−1 2 [ 13−3( n−1 ) ]   = 1 2 ( n−1 )( … Read more

## SPM Additional Mathematics 2017, Paper 1 (Question 4 – 7)

Question 4 (3 marks):Diagram 4 shows a trapezium ABCD.Diagram 4 Given  p ˜ =( 3 4 ) and  q ˜ =( k−1   2 ),  where k is a constant, find value of k. Solution: p ˜ =m q ˜ ( 3 4 )=m( k−1   2 ) ( 3 4 )=( mk−m    2m ) mk−m=3 ………. ( 1 ) 2m=4 ……………. ( 2 ) From( 2 ): 2m=4 m=2 … Read more

## SPM Additional Mathematics 2017, Paper 1 (Question 1 – 3)

Question 3 (3 marks):Diagram 3 shows vectors AB → ,  AC →  and  AD → drawn on a square grid with sides of 1 unit.Diagram 3 ( a ) Find | − BA → |. ( b ) Given  AB → = b ˜  and  AC → = c ˜ , express in terms of  b ˜  and  c ˜   … Read more