S.4 Mathematics Quiz 2011 12
Ch. 6 (More about Polynomials)
1.
x2
5.
( a) x 1 i s a factor of f ( x ) .
3x 2 0 x 1 ) 3x3 6x 2 x 4
3 x 0x x
3
2
f ( 1) 0
( 1) 3 k ( 1) 2 ( 1) 6 0
6x 0x 4
6 x2 0x 2
2
1 k 1 6 0
k 4
6
T he quotient is x 2
( b) f ( x ) x 3 kx
S.4 Mathematics Test 2012 13
Ch. 5 (Quadratic Functions)
1.
C
4.
The coordinates of the vertex are (2, 8).
A
y x2 2x k 2
The function can be expressed as y a( x 2) 2 8.
The graph passes through the origin (0, 0).
( x 2 2 x 1) k 2 1
( x 1)2 k 1
0 a (
Marymount Secondary School
S.4 Mathematics Quiz 2011 12
Ch. 6 (More about Polynomials)
Name
Class
No.
Time Allowed: 50 min.
Max. Mark:
40
S4M2
Attempt ALL questions
1.
Use long division to find the quotient and the remainder when 3x 3 x 4 6 x 2 is
divided
Marymount Secondary School
S.4 Mathematics Test 2012 13
Ch. 5 (Quadratic Functions)
Name
Class
No.
Time Allowed: 50 min.
Max. Mark:
32
Multiple Choice:
1.
S4C
(10 marks)
The figure shows the graph of y f ( x ). If
3.
the coordinates of the vertex of the g
S.4 Mathematics Quiz 2012 13
Ch. 2 (Equations of Straight Lines)
1.
D
4.
x-intercept
A. The slope of L 1 is 3.
12
3
4
A is correct.
B. L 2 : y 5 is a horizontal line.
The coordinates of P are (3, 0).
y-intercept
A
B is not correct.
12
4
3
C. L 3 : x
Marymount Secondary School
S.4 Mathematics Test 2012 13
Ch. 4 (Basic Knowledge of Functions)
Name
Class
No.
Time Allowed: 50 min.
Max. Mark:
33
Multiple Choice:
1.
If f ( x )
A.
(12 marks)
3
1
, then f ( )
4 x 14
2
4.
k
3
.
5
A. 5.
B.
1
4
B. .
C.
2.
4 .
S.4 Mathematics Test 2012 13
Ch. 3 (Quadratic Equations in One Unknown)
1.
A
5.
A
2 x ( x 19) 96
x ( x 19) 48
x 2 7 x 12
3
2
3k x 7 x 12
k
x 2 19 x 48 0
( x 16)( x 3) 0
x 2 7 x 3k 12 0
x 16 or x 3
The equation has no real roots.
2.
C
i.e. 7 2 4(1)( 3k 12
S.4 Mathematics Test 2012 13
Ch. 4 (Basic Knowledge of Functions)
1.
B
6.
C
f ( x ) 4( x ) 2 3k ( x ) 1
1
3
f( ) 1
2
4( 2 ) 14
4 x 2 3kx 1
3
2 14
1
4
f ( x) f ( x)
4 x 2 3kx 1 4 x 2 3kx 1
6kx 0
k 0
2.
C
f ( 2) f ( 2) [ p q( 2)][ p q( 2)]
( p 2q)( p 2q)
Marymount Secondary School
S.4 Mathematics Quiz 2012 13
Ch. 2 (Equations of Straight Lines)
Name
Time Allowed: 30 min.
Class
Max. Mark:
No.
28
S4C
Multiple Choice: (10 marks)
1.
If L: 4 x 3 y 12 0 cuts the x-axis and
4.
y-axis at P and Q respectively, fin
Marymount Secondary School
S.4 Mathematics Test 2012 13
Ch. 3 (Quadratic Equations in One Unknown)
Name
Class
No.
Time Allowed: 50 min.
Max. Mark:
51
Multiple Choice:
1.
S4C
(18 marks)
Solve the equation 2 x( x 19) 96.
4.
In the figure, ABC is a right-ang
S.4 Mathematics Quiz 2012 13
Ch. 1 (Number Systems)
1.
( x y )i 3x y 20 3i
4.
( a) (3 i )( 2 5i ) 6 15i 2i 5i 2
6 15i 2i 5
3x y ( x y )i 20 3i
1 17i
3x y 20 .(1)
.
x y 3 . (2)
( b)
( 1) + (2)
4 x 23
x
z5
2 5i
3i
z 5 (2 5i )( 3 i )
z 5 1 17i [ From res