Question 1
Diagram 1 shows the graph of the function f(x)= 2x - !, for the domain 0 <= x <= 5.
State a) the value of t, b) the range of (fx) corresponding to the given domain. [3m]

Question 2
Given the functions g:x-> 5x + 2 and h : x – x2 –4x + 3, find g-1(6) b) hg(x) [ 4m]

Question 3
Given the funtions f(x) = x-1 and g(x) = kx +2, find a) f(5), b) the value of k such that gf(5) = 14 [ 3m]

SPM Add Math 2006

Question 1
In diagram 1, set B shows the images of certain elements of set A


a) State the type of relation between set A and set B
b) Using the functon notation, write a relation between set A and set B [2m]


Question 2
Diagram 2 shows the functon h : x--> ( m-x)/x, x != 0 , where m is a constant. Find the value of m [2m]

SPM Question Function 2005

Question 1

In diagram 1 the function h map x to y and the function g maps y to z
Determine a) h-1(5) b) gh(2) [2m]

Question 2
The function w is defined as w(x) = 5/(2-x) , x!= 2.
a) w-1 (x) b) w-1(4) [ 3m]

Question 3
The following iformation refers to the functions h and g
h:x --> 2x-3
g:x -->4x -1
Find gh-1(x)

SPM 2007

Question 9
a) Determine whether the following sequence is an arithmetic progression or a geometic progression. 16x, 8x, 4x, …
b) Give a reason for the answers in 9(a) [m]
Question 10
Three consective terms of an arithmetic are 5-x, 8, 2x. Find the common difference of the progression. [3m]
Question 11
The first three term of a geometric progression are 27, 18, 12. Find the sum to infinity of the geometric progression. [ 3m]

SPM Question 2008

Question 9
It is given that the first foru term of a geometric progression are 3, -6, 12 and x. Find the value of x [2m]

Question 10
The first 3 term of an arithermetic progression are 46, 43 and 40. The nth term of this progression is negative. Find the least value of n [3m]

Question 11
In a geometic progression, the first term is 4 and the common ratio is r. Given that the sum to infinity of this progress I 16, find the value of r [2m]

SPM Question 2006 Progression

Question 9
The 9 th term of an arithmetic progression is 4+5p and the sum of the first foru term of the progression is 7p -10, where p is a constant. Give that the common difference of the progression is 5, find the value of p

Question 10
The third term of a geometric progression is 16, the sum of the third and fourth term is 8. Find
a) The first term and the common ration of the progression
b) The sum to infinity of the progression.

SPM Question Progression 2005

Question 10
The first three terms of a sequence are 2, x, 8. Find the postive value of x so that the sequence is
a) An arithmetic progression
b) A geometric progression
Question 11
The first three terms of an arithmetic progression are 5, 9, 12. Find
a) The common difference of the progression
b) The sum of the first 20 terms after the 3rd term
Question 12
The sum of the first n term of the geometric progression 8, 24, 72 … is 8744. Find
a) The common ration of the progression
b) The value of n

Chapter 1 Function

SPM Question 2006 Paper 2

Given that f(x) = 3x-2 and g(x) = x/5 + 1 find
A) f-1 (x) [1m]
B) f-1g(x) [2m]
C) h(x) such that hg(x) = 2x+ 6 [3m]

Question normally appear in Paper 1 ( first 2 or 3 questions yearly)