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Cgnash Pencetus Bijak Matematik: X X X X H

The document contains 15 math problems involving quadratic equations, functions, and simultaneous equations. Some key details: - Problem 1 asks to name the images and object of given ordered pairs relating two sets. - Problem 10 asks to find the values of constants a and b if a quadratic function has a maximum value at the point (a, b). - Problem 15 provides a diagram of a quadratic function intersecting the x-axis at two points and asks for the values of constants p and q in the equation.

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351 views1 page

Cgnash Pencetus Bijak Matematik: X X X X H

The document contains 15 math problems involving quadratic equations, functions, and simultaneous equations. Some key details: - Problem 1 asks to name the images and object of given ordered pairs relating two sets. - Problem 10 asks to find the values of constants a and b if a quadratic function has a maximum value at the point (a, b). - Problem 15 provides a diagram of a quadratic function intersecting the x-axis at two points and asks for the values of constants p and q in the equation.

Uploaded by

cgnash
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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TUISYEN KITA | cgnash

PENCETUS BIJAK MATEMATIK


Uji set 1 bab 1, bab 2, bab 3 dan bab 4
demo suka matematik, kawe suka matematik, kita suka matematik
x
y
O




Kertas 1

1. The relation of set P = { 2, 4 , 6 } to set
Q = { 2, 3, 4 } is defined by the ordered pairs of { ( 2, 3),
( 2, 4), ( 4, 2), ( 6, 4) }. Name
a) the images of 2 b) the object of 4

2. Given the function . 1 ,
1
3 2
) ( =
+

= x
x
x
x h
Find the function of . ) (
1
x h



3. Given that 1 5 ) ( + = x x g and
, 3 2 ) (
2
+ = x x x h find
a) ) 3 (
1
g b) ). ( x g h

4. Solve the quadratic equation . 5
5
6 1
2
=
+ x


5. Given the quadratic equation
0 9
2
= + + px x has two equal roots. Find the value
of p.
6 Form a quadratic equation with roots 2 and
4
1
.
Give your answer in the form 0
2
= + + c bx ax , where
a, b and c are constants.

7 Given that the quadratic equation
( ) 4 3 1
2
= + x x p has two equal roots.
Find the value of p.

8 Given the roots of 0 5 4 3
2
= + x x are o and
| . Form a quadratic equation with roots 1 3 + o and 3
| +1.

9 Given that the graph ( ) k x x x f + + = 4 2
2

intersects the x-axis at two different points. Find
the range of the values of k [3 marks]

10 Given that ( ) 3 8 2
2
+ + = x x x f has a
maximum value at the point ( ) b a P , , where a and b
are constants. Find the value of a and of b

11. Given that
p
1
is one of the roots of the quadratic
equation px
2
+ 7x 2p = 0, find the values of p.





12










Diagram 2 shows the maximum point ( ) 1 , 5 of the
graph ( ) ( ) q p x a x f + + =
2
.
Find the value of a, of p and of q.

13 Find the range of the values of x if
( )( ) 12 5 3 < + x x .

14 Given that ( )
2
4 5 x x x f + = , find the range of
the values of x which satisfies ( ) 8 s x f .

15 Diagram 2 shows the graph of the quadratic
function y = ( x + p ) + q where p and q are constant
that intersects x- axis at the points (-1 , 0) and (3 , 0).

State ,
(a) the value of p
(b) the value of q
(c) the equation of the axis of symmetry.

Kertas 2

1. Solve the simultaneous equations below and give
your answers correct to two decimal places,
x 4y = 9
3y
2
= 7 -
2
x


2. Solves the simultaneous equations 4x + y = - 8 and
x
2
+ x y = 2 .


3. Solve the simultaneous equations p m = 2 and
p
2
+ 2m = 8 . Give your answers
correct to three decimals places .

DIAGRAM 2

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