7/31/2019 Jom Tanya Sifu :15 Days Programme Part 1
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JOM TANYA SIFU 15 Days Programme: Part 1
Prepared by : Pn Hayati Aini Ahmad Page 1
DAY 01 : FUNCTIONS
QUESTION 1
The following ordered pairs represent the relation
more than from Set A = {5, 7, 13} to set B ={3, 4, 8}
Determine
(a) the images of 7
(b) the objects of 4
QUESTION 2
Diagram 1 shows the function . State
(a) the domain(b) the range of the function
QUESTION 3
Diagram 2 shows part of the mapping . Find the value of.
QUESTION 4
Diagram 3 shows the function
,
where is a constant. Find the value of
QUESTION 5
Diagram 4 shows part of the mapping
. Find the values of.
QUESTION 6
Diagram 5 shows an arrow diagram that represents
the function
. Find the value of
(a) (b)
Date of completion: Checked by:
{(5,3), (5,4), (7,3), (7,4), (13,3), (13,4), (13,8)
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JOM TANYA SIFU 15 Days Programme: Part 1
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DAY 02: FUNCTIONS
QUESTION 1
Given the functions and ,
find
(a) (b)
QUESTION 2
Given the functions and
. If , findthe value of and .
QUESTION 3Given that and , findthe value of and .
QUESTION 4Given that and ,find the values of and .
QUESTION 5
Given the functions where is a constant and . Find
(a) the value of if
(b) Hence, find
QUESTION 6
Given the functions
and
, cari nilai .
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JOM TANYA SIFU 15 Days Programme: Part 1
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DAY 03: FUNCTIONS
QUESTION 1
Given the functions and
. Find(a) (b)
QUESTION 2
Given the functions and
.
Find.
QUESTION 3The function is defined by
Find
(a) the value of (b)
QUESTION 4Given the functions and
Find
QUESTION 5
Given and
, find
(a)
(b) the value of such that
QUESTION 6
Given the function and ,
find the value of.
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JOM TANYA SIFU 15 Days Programme: Part 1
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DAY 04: FUNCTIONS
QUESTION 1
It is given that and ,
find
(a) (b) the value of when
QUESTION 2
It is given that and ,
find(a) (b)
QUESTION 3
Given that and . Find(a) (b) the value of when
QUESTION 4
Given that and .
Find
(a) (b) the value of when
QUESTION 5
Given that and
. Find
(a) (b) the value
QUESTION 6
Given that and . Find
(a) (b) the value
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7/31/2019 Jom Tanya Sifu :15 Days Programme Part 1
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JOM TANYA SIFU 15 Days Programme: Part 1
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DAY 05: FUNCTIONS
QUESTION 1
Functions and are such that and
. Given that , find(a) the value of (b)
QUESTION 2
Given that
and
, where and are
constants. Find the values of and of.
QUESTION 3Given that
and
where and are constants.
Find the values of and .
QUESTION 4It is given that
. Find
(a) the value of
(b) the values of which maps onto itself
QUESTION 5
Given that
(a) State the range of for the domain
(b) find the value of which maps onto itself
QUESTION 6
Given the functions and
, find
(a) (b) the value of if
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JOM TANYA SIFU 15 Days Programme: Part 1
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DAY 06: FUNCTIONS
QUESTION 1
Given the function , find the values of
such that
QUESTION 2
Given the functions and
. If , express interms of .
QUESTION 3
An arrow diagram is shown representing part of
the mapping of by the function .Find the value of.
QUESTION 4
A diagram shows the graph of the function
for the domain . State
(a) the value of(b) the range of corresponding to the
given domain
QUESTION 5
Given the functions and
. If , express in termsof .
QUESTION 6
Given a function and , find
(a) the value of
(b) the object that mapped to itself
Date of completion: Checked by:
7
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JOM TANYA SIFU 15 Days Programme: Part 1
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DAY 07 : QUADRATIC EQUATIONS
QUESTION 1
The quadratic equation ,where is a constant, has no real root. Find the range of
values of.
QUESTION 2
The quadratic equation ,where is a constant, has two equal roots. Find the
possible values of.
QUESTION 3
The quadratic equation has two
distinct roots. Find the range of values of.
QUESTION 4
Given the quadratic equation
has equal roots. Express in terms of
QUESTION 5
Given that quadratic equation has no roots. Find therange values of.
QUESTION 6
The straight line intersects the curve
at two different points. Find therange of values of.
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JOM TANYA SIFU 15 Days Programme: Part 1
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DAY 08 : QUADRATIC EQUATIONS
QUESTION 1
Given the quadratic equation
, find
(a) the sum of roots (b) the product of roots
QUESTION 2
Given and are the roots of the equation . Given that , find thevalues of and ,
QUESTION 3
Given that and are the roots of the quadraticequation . Find the value of
QUESTION 4
If is a root of the quadratic equation , find(a) the value of
(b) the other root of the quadratic equation
QUESTION 5
Given that is one of the root of the quadratic
equation , calculate the valuesof
QUESTION 6
Given that and are the roots of the
quadratic equation . Find thevalues of and
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JOM TANYA SIFU 15 Days Programme: Part 1
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DAY 09 : QUADRATIC EQUATIONS
QUESTION 1
Solve the quadratic equation .
Give the answer correct to 3 significant figures.
QUESTION 2
Solve the quadratic equation
. Give the answer
correct to 3 decimal places.
QUESTION 3
Given and are the roots of the quadratic
equation
. Form the quadraticequation which has the roots and
QUESTION 4
One of the roots of the quadratic equations
is twice the other root. Find thevalue of.
QUESTION 5
The roots of the quadratic equation
are and . Given ,find the possible values of
QUESTION 6
Given and are roots of a quadratic equation
whereas and are roots of a
quadratic equation . Find the valueof and
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JOM TANYA SIFU 15 Days Programme: Part 1
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DAY 10 : QUADRATIC FUNCTIONS
QUESTION 1
The quadratic function can be
expressed in the form of ,where and are constants. Find the value of
and
QUESTION 2
The quadratic function can be
expressed in the form of ,where is a constant. Find the value of
QUESTION 3
The quadratic function can
be expressed in the form of
,where and are constants. Find the value of
and ,
QUESTION 4
Given the quadratic function .
By using the method of completing the square, findthe minimum/maximum point of.
QUESTION 5
The quadratic function can
be expressed in the form of ,
where and are constants. Find the value of and ,
QUESTION 6
Given the quadratic function .
By using the method of completing the square, find
the minimum/maximum point of.
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JOM TANYA SIFU 15 Days Programme: Part 1
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DAY 11 : QUADRATIC FUNCTIONS
QUESTION 1
The quadratic function where is a constant, has a minimum value of. Find
the values of.
QUESTION 2
The quadratic function where and are constants, has a minimum point
. Find the value of and .
QUESTION 3
The quadratic function
has a minimum value of. The equation of theaxis of symmetry of the graph is . Find the
value of and
QUESTION 4
The quadratic function , where
is a constant, has minimum value of
. Find thevalue of
QUESTION 5
It is given that the quadratic function
has a minimum point . Calculate the value of and
QUESTION 6
Given the quadratic function
has a minimum point at
. Express in terms of
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JOM TANYA SIFU 15 Days Programme: Part 1
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DAY 12 : QUADRATIC FUNCTIONS
QUESTION 1
Diagram 1 shows some information about the
graph of the quadratic function ,where and are constants.
(a) State the value of and
(b) Calculate the value of
QUESTION 2
Diagram 2 shows the graph of the quadratic
function , where is a
constant.
The curve
has a
maximum point where is a
constant. State
(a) the value of
(b) the value of
(c) the equation of the axis of symmetry
QUESTION 3
Diagram 3 shows the graph of ,
where and are
constants. Point
is the
maximum point of
the graph. Determine
the values of and
QUESTION 4
Diagram 4 shows the graph of quadratic function
, where and are constants.Find the value of
and
QUESTION 5
Diagram 5 shows the graph of a quadratic function
, where is a constant. Thecurve has a maximum point where
is a constant. State(a) the value of
(b) the value of
(c) the equation
of the axis of
symmetry
QUESTION 6
Diagram 6 shows the graph of a quadratic function
, where is a constant. Thecurve has a maximum point where
is a constant. State(a) the value of
(b) the value of
(c) the equation
of the axis of
symmetry
Date of completion: Checked by:
y-intercept = 5
Coordinates of maximum point=(1 , 7)
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JOM TANYA SIFU 15 Days Programme: Part 1
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DAY 13 : QUADRATIC FUNCTIONS
QUESTION 1
Find the range of values of for which
QUESTION 2
Find the range of values of for which
QUESTION 3
Find the range of values of for which
QUESTION 4
Given that . Find the range ofvalues of for which is positive.
QUESTION 5
Find the range of values of if and
QUESTION 6
Find the range of values of such that
is always positive.
QUESTION 7
Find the range of values of such that
is always positive.
QUESTION 8
The function is always positive.Find the range of values of
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JOM TANYA SIFU 15 Days Programme: Part 1
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DAY 14 : QUADRATIC FUNCTIONS
QUESTION 1
The quadratic function is given as
.
(a) Express the function in the form of
, where where and
are constants.
(b) State the maximum point(c) Hence, sketch the graph of for the domain
QUESTION 2
The quadratic function is given as
.
(a) Express the function in the form of
, where where and
are constants.
(b) Find the maximum or minimum value of(c) Hence, sketch the graph of for the domain
QUESTION 3
(a) Express in the form
of , where where and
are constants.
(b) The graph has aminimum point at. Find the value of and
.
(c) Hence, sketch the graph for the domain
and state the corresponding range for
QUESTION 4
Given that
(a) Express the function in the form of
, where where and
are constants.(b) Determine the turning point of
(c) Sketch the graph of
(d) Find the range of values of such that
has two distinct real roots
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JOM TANYA SIFU 15 Days Programme: Part 1
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DAY 15 : SIMULTANEOUS EQUATIONS
QUESTION 1
Solve the simultaneous equations
and
QUESTION 2
Solve the simultaneous equations
QUESTION 3Solve the simultaneous equations
and
QUESTION 4Solve the simultaneous equations
and
QUESTION 5
Solve the simultaneous equations
Give the answers correct to four significant figures.
QUESTION 6
Solve the simultaneous equations
and
Give the answers correct to three decimal places.
Date of completion: Checked by:
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