Direct Variation

Hi guys, I have a few questions for you. Try this !

Choose the best answer.

1. Determine which of the following quantities are direct variation.

A. When x=2,y=7. When x=3,y=10.5
B. When x=2,y=8. When x=4,y=4
C. When x=1,y=4. When x=2,y=4
D. When x=-1,y=5. When x=2,y=10

2. y changes directly with x. If x=2 then y=5. Find the value of x when y=7.5.

A. 3 B. 3.75 C. 10 D. 12.5

3. P is a direct variation to q. P is 21 when q is 3. Find the value of p when q is 7.

A. 1 B. 7 C. 21 D. 49

4. m is a direct variation to n. m is 10 when n is 5. Which of the following is the relationship between m and n?

A. m=2n B. m=5n C. m= 0.4n D. m=0.5n

5. A manufacture car company need to hire 20 accessories workers to produce 100 car accessories a day. If the company need to produce 400 car accessories a day, how many workers he need to hire ?

A. 40 B. 80 C. 120 D. 300


email me your answer at : huffy64@gmail.com

Add Math : Function

Hi guys, why don't you try all of the following. Email me your answer or post your comment.

Answer all of the following.

1. Given that f and g are functions given by the following

f : x-->x², where x is real number
g: x -->2x, where x is real number

Find

(a) the inverse of f, state its range and domain
(b) the inverse of g, state its range and domain.
(c) composite function ff, gg, fg, gf

2. Given that a function f is defined by f: x --> x²+1. Find

(a) f ^-1
(b) ff
(c) ff ^-1
(d) f ^-1f

3. Show that the function f(x)=x ² + 2x+5 is always positive.

4. Show that the function f(x) = x ² -2x+5 has no real roots.


Please email me your answer at huffy64@gmail.com

MODEL PMR SET 1 PAPER 1

MODEL PMR SET 1
PAPER 1

This paper consists of 40 questions. Answer all questions. Choose one correct answer, A,B,C, or D. You may use a non-programmable scientific calculator..

1.  Round off 52961  to the nearest hundreds

    (a)  52000         (b) 52900         (c)  53000           (d) 53900

2.  (q-2)²+4q-4=

    (a) q²              (b) q²+3           (c)  q²+4q+3        (d)  q²+8q-1

                             

3.  Given that  2x - 3 =5.Find the value of x.

    (a) -1              (b) 1                 (c) 2                  (d)  4

4.  The value  of the underlined digit in the number  27051 is 

     (a) 7               (b) 700             (c) 1000             (d) 7000

5.  4x2.5-2x3
  
     (a) 98              (b) 8                 (c) 6                 (d) 4

6.  Point A(0,5) is rotated at origin 90 degree clockwise. Which of the following is the coordinate of the image of A?

     (a)   ( -5,0)       (b)  (0,5)         (c)  (5,0)           (d)  (0,-5)

7.  Simplify   (2x + 7y) + 2(3x-5y)

     (a)   8x-3y        (b)  7x+2y        (c)  8x +17y       (d)  8x - 12y

8.  Which of the following is not  a square of a number ?

     (a)   4              (b)   16            (c)  47              (d)  64

9.  Which of the following number is not an isometric transformation ?

     (a)   rotation     (b) enlargement (c) reflection      (d)  translation

10. Ismail saves 10% of his income each month. If he could saves RM1000 after 5 months, what is his income ?

     (a)  RM 1000     (b) RM 2000      (c) RM 2500           (d)  RM 5000




                   
                  

MODEL SPM SET 1 PAPER 1

MODEL SPM SET 1
PAPER 1

This paper consists of 40 questions. Answer all questions. Choose one correct answer, A,B,C, or D. You may use a non-programmable scientific calculator..

1.  Round off 72901 correct to two significant figures.

    (a)  72000         (b) 72900         (c)  73000           (d) 73900

2.  (p-2)²+4p-1=

    (a)  p²              (b) p²+3           (c)  p²+4p+3       (d)  p²+8p-1

                             

3.  Given that  (2x  3) (^-1₃)=5.Find the value of x.

    (a) -2               (b) 4/3             (c) 2                  (d)  9/2


4.  1.2 ×10^-5  = 

       0.002  

     (a) 6×10^-2        (b)    6×10^-3     (c) 6×10^-8             (d)  6×10^-9

5.  A bag contains 2 red pen, 3 blue pen and 4 black pen. Razak took out 2 black pen and added  in 3 red pen. Then, razak picked a pen at random from the bag. State the probability that a  red pen is picked.

     (a) 1/5             (b)  1/6            (c) 1/2                (d) 5/9

6.  The value  of the underlined digit in the number  11011011₂ is 

     (a) 32              (b) 16               (c) 8                   (d) 4

7.   11₂ + 101₂

      (a) 10000₂        (b) 1101₂          (c) 1000₂             (d) 111₂

8.  (-2   1  5) +  (3  -5  2)

     (a)   (-1   -4    3)                     (b)   ( 1  -4   7)    
     (c)   ( 1    -4   3)                     (d)   (-6  -5  10)

9.  Point A(0,5) is rotated at origin 90 degree clockwise, followed by reflection in the y-axes. Which of the following is the coordinate of the image of A under the combined transformation?

     (a)   (-5,0)       (b)  (0,5)         (c)  (5,0)             (d)  (0,-5)

10. Given that  3(x   2  -1) =  (-6   6   -3). find the value of  x.

     (a)  2              (b)  -1             (c) -2                 (d) -6




                   
                  

Form 4: Revision

Answer all the following.

1. Round off 47745 to
(a) 3 s.f (b) 2 s.f

2. Write the following numbers in standard form.
(a) 127 (b) 0.00831

3. Factorize completely the following quadratic expressions.
(a) x^2-7x

(b) p^2-25

(c) 3t^2-12

4. Solve the following quadratic equations.

3x+5=2/x

5. Given that universal set E={x: x is an integer between 1 to 20},
A={even number}, B={odd number}, C={prime number}. Find
(a) n(A)
(b) n(C)
(c) n(B')
(d) n(C')

email your answer to huffy64@gmail.com

Form 5 : Revision

Answer all of the following.

1. Solve the following simultaneous equations.
5p-7q=3
2p+q=5

2. Solve the following quadratic equation.
2x-5=-2/x

3. Sketch the graph of the following functions.
(a) y=3-x^2
(b) y=-2/x

4. Sketch the graphs of y=x+2,x+y=4 and x=4. On the same graph, shade the region that satisfies y4 and x<4. style="font-style: italic;">huffy64@gmail.com