SMK RAJA PEREMPUAN, IPOH
ADDITIONAL MATHEMATICS
FIRST SEMESTER BREAK EXERCISES
FORM 4
YEAR 2009
______
EXCEL 1
Instruction : Answer all questions.
Show your working. It may help you to get marks.
1. / Given set A = {–8, –7, –6, 3, 6, 7, 8} and set B = {9, 16, 25, 36, 49, 64}. The relation from set A to set B is f(x) = , state(a) the image of 8.
(b) the objects of 49,
(c) the domain of the relation,
2. / Given the function f(x) = 4x, and the composite function fg(x) = . Find
(a) g(x),
(b) the value of x when g(x) = 8.
3
/ Diagram 1 shows a function .
Find the value of a and of b.
4. / a) Solve the quadratic equation 3x2- 9x + 5 = 0 . Give your answer correct to four significant figures .
b) Form the quadratic equation which has the roots m and 2m. Give your answer in the form ax2 + bx + c = 0, where a, b and c are constants.
[ 4 marks ]
5. / Solve the quadratic equation 2(x + 3)( 2 - x ) = x + 5 . Give your answer correct to three decimal places.
[ 3 marks ]
6. / The quadratic equation 2x2 + px + 2q – 5 = 0 has roots -2 and . Find the value of p and of q .
[ 3 marks ]
7. / Given the quadratic function. State
a) the coordinates of the maximum point
b) the axis of symmetry
[ 2 marks ]
Answer : a) ______
b) ______
8. / Find the range of values of if . [ 3 marks ]
Answer : ______
9. / The straight line does not intersect the curve . Find the range of values of . [ 3 marks ]
10. / Solve the simultaneous equations
and [ 5 marks ]
11. / Solve the simultaneous equations
and [ 5 marks ]
12. / Solve the simultaneous equations
and [ 5 marks ]
Give your answers correct to three decimal places.
Answer
1 / a) Image of 8 is 64 ……………….(1)b) Object of 49 = {7, –7} ……………….(1)
c) Many to one ……………….(1)
2. / (a) g(x) =
(b)
3. / a = – 2 and b = 7
4. / a) 2.263 , 0.7362
b)
5. /
6. / p = 1 ,
7. / a) (-3,9)
b)
8. /
9. /
10. /
11. /
12. /
6
Additional Mathematics 09 Excel 1