Jom Tanya Sifu :15 Days Programme Part 1

JOM TANYA SIFU

15 Days Programme: Part 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}

QUESTION 2 Diagram 1 shows the function     . State (a) the domain (b) the range of the function function 

{(5,3), (5,4), (7,3), (7,4), (13,3), (13,4), (13,8) Determine (a) the images of 7 (b) the objects of 4

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) 

Date of completion:

Prepared by : Pn Hayati Aini Ahmad

(b) 

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JOM TANYA SIFU


DAY 02: FUNCTIONS QUESTION 1 Given the functions        and        , find (a)  (b)    

QUESTION 2 Given the functions         and       . If         , find the value of  and .

QUESTION 3 Given that        and         , find the value of  and .

QUESTION 4 Given 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

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

Given the functions       and

  

 

 

 



, cari nilai  .

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JOM TANYA SIFU


DAY 03: FUNCTIONS QUESTION 1 Given the functions       and       . Find (a)   (b)  

Given the functions       and   

QUESTION 3

QUESTION 4

The function  is defined by    Find (a) the value of 

QUESTION 2

Find 

 





 

.

 .

Given the functions       and    

 

Find   (b)  

QUESTION 5

Given       and 



 

 

, find

(a)   (b) the value of  such that         

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QUESTION 6 Given the function       and     , find the value of .

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JOM TANYA SIFU 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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JOM TANYA SIFU


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 3

QUESTION 4

Given that      

    

 

 

    and

    where  and  are constants.

Find the values of  and .

QUESTION 5 Given that        (a) State the range of     for the domain

 (b) find the value of  which maps onto itself

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It is given that   

 

    . Find

(a) the value of  (b) the values of  which maps onto itself

QUESTION 6 Given the functions       and      , find (a)    (b) the value of  if       

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DAY 06: FUNCTIONS QUESTION 1 Given the function      , find the values of  such that      

QUESTION 3

QUESTION 2 Given the functions       and      . If      , express  in terms of .

QUESTION 4

 

    

4 7



 

   A diagram shows the graph of the function

An arrow diagram is shown representing part of the mapping of  by the function         . Find the value of .

        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 terms of .

QUESTION 6 Given a function       and      , find (a) the value of  (b) the object that mapped to itself

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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 the range values of .

QUESTION 6 The straight line        intersects the curve           at two different points. Find the range of values of .

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JOM TANYA SIFU 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 the values of  and ,

QUESTION 3 Given that  and  are the roots of the quadratic equation      . 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 values of 

QUESTION 6 Given that  and    are the roots of the quadratic equation          . Find the values of  and 

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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

QUESTION 3 Given  and  are the roots of the quadratic equation          . Form the quadratic equation which has the roots  and 

QUESTION 4 One of the roots of the quadratic equations          is twice the other root. Find the value 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 value of  and 

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              . Give the answer correct to 3 decimal places.

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JOM TANYA SIFU 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 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, find the 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 DAY 11 : QUADRATIC FUNCTIONS QUESTION 1 The quadratic function              where  is a constant, has a minimum value of . Find the values of .

QUESTION 3 The quadratic function             has a minimum value of . The equation of the axis of symmetry of the graph is   . Find the value of  and 


QUESTION 2 The quadratic function             where  and  are constants, has a minimum point  . Find the value of  and .

QUESTION 4 The quadratic function             , where

 is a constant, has minimum value of

 

. Find the

value 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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DAY 12 : QUADRATIC FUNCTIONS QUESTION 1 Diagram 1 shows some information about the graph of the quadratic function          , where   and  are constants.

y-intercept = 5 Coordinates of maximum point=(1 , 7) (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. 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 6 Diagram 6 shows the graph of a 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

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JOM TANYA SIFU


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 of values 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 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 a minimum point at . Find the value of  and . (c) Hence, sketch the graph for the d omain      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


DAY 15 : SIMULTANEOUS EQUATIONS QUESTION 1 Solve the simultaneous equations       and          

QUESTION 2 Solve the simultaneous equations











       and 




            









     and   

               Give the answers correct to f our significant figures.

QUESTION 6 Solve the simultaneous equations        and           Give the answers correct to t hree decimal places.

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Page 15

Jom Tanya Sifu :15 Days Programme Part 1

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