RATIO

Think of ratios as parts. 2:3 has total parts 2+3= 5 parts. If actual value for the whole part is 20 then each part is 20/5=4

Answer all of the following.


1. Find the ratio of the following

(a) 8:24

(b) 15kg:3kg

(c) 1 week : 21 days

(d) 1 cm: 20 mm

2. The ratio of a to b is 2:5. Find the value of a and b if the sum of a and b is 42.

3. Every month Ali and Terrence save RM250 and RM300 respectively. What is the ratio of Ali's and Terrence's saving each month?

4.Given that p:q is 5:7. If p+q is 72, find the value of q-p.

5. A rectangle has a length and width of ratio 2:1. If the perimeter of the rectangle is 90cm, find its length and width.

You can email me your answer.

Probability

To find the probability of some events happens means to calculate the chances that the event happens. You need to identify the sample space and the events first. Try to answer the following questions.

1. A box contains two red pens and three blue pens of the same brand. If a pen is randomly chosen from the box, what is the probability that

(a) a blue pen is chosen.

(b) a red pen is chosen.

2. A dice is tossed once. What is the probability that a number comes up is

(a) an even number.

(b) an odd number.

(c) a prime number.

(d) a number that is greater than 2.

3. The letters in the words "MATHEMATICS" are written in cards and put in a box. If a student randomly take one card, what is the probability that the card is

(a) a letter "M".

(b) a consonant.

(c) a vowel.

Happy Trying. Send me your answer at : huffy64@gmail.com

Differentiation

Differentiate y with respect to x :

1. y=7

2. y= -2x

3. y=x² -5

4. y=x³ +5x-3

5. y=-5x³-3x² +2x-9

Email me you answer, huffy64@gmail.com

Add Math : Composite Function

Answer all of the following.

1. Given that f : x --> x-7 and g : x --> (2/x) -1, x is not equal to 0.

(a) Find the image of f when the object is 2.

(b) Find the object of f when the image is -4.

(c) Find the image of g when the object is 7.

(d) Find the object of g when the image is 5.

(e) Find fg(2) and gf(-5)


2. Given that f(x)=x+5 and g(x)=3x-1

(a) fg(3)

(b) gf(3)


3. Given that f(x) = 2+(1/x), x is not equal to 0 and g(x)=x-3. Find

(a) gf(-1)

(b) fg(2)

4. Given that f(x)=x-3 and g(x)= 1/(2-x), x is not equal to 2. Find

(a) fg

(b) gf

5. Given that fg(x)=5x+1 and f(x)=x/3. Find g.

Happy trying! Email me at huffy64@gmail.com

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

FORM 1 : Multiples

Try This

1. List the first five multiples of the following numbers.
(a) 3 (b) 5 (c) 7 (d) 8

2. List multiples of 2 between 10 to 20

3. List multiples of 5 from 20 to 50

4. Determine whether the following numbers are multiple of 4.
(a) 12 (b) 21 (c) 72

[ To determine whether a number is the multiple of another number, divide with the other number]

Pn Hafsah.

Form 2 : Revision

Answer all of the following.

1. Round off 23729 to the
(a) nearest tens.

(b) nearest hundreds.

2. Calculate
(a) 15-7+2

(b) 20-(-15) + 7

3. Simplify

(a) (2x+y)+(3x+y)

(b) (5x-2y)+(x+3y)

(c) 3(x+2)+2(3x-4)

4. (a) 1 1/2+3/4

(b) 3/5-1/7

(c) 2x+p-7x+2p

5. A square has a length of 2x+1 unit. Write the perimeter of the square in
algebraic expressions.

email your answer to huffy64@gmail.com

Form 3 : Revision

Answer all of the following

1. (a)Write the number 11027 in words.
(b)Round of 36047 to the nearest thousands.

2. Calculate 2/0.02 - 30x0.1

3. Evaluate
(a)180x0.1-5x1.2
(b)(4/5)x320-20x0.8

4. Given x=2 and y=-3. Calculate
(a)2x-5y
(b)4x+3y

5. Solve 2y-4=5

6. Solve the following linear equation
(a)2x+5=11
(b)5x=2x+15

7. A rectangle has a side that is twice of the other. If the longer side is 14cm. What is the perimeter of the rectangle?

8. Sakinah and Rabiah are sisters. Sakinah is two years older than Rabiah. If their total age is 18 years, what is Rabiah's age.

9. Larry has RM200. He spend one fifth of the mone to buy some books. Calculate the balance of the money.

10. Swee Lee likes to eat apples. She bought two dozens of apples. If she eats two apples everyday for three days, how many apples she has left?

Happy trying...
Pn Hafsah

FORM 5 : Revision

Within two weeks I'll be posting a few revision question. So, guys,stay tuned....

F5 Revision 1

Answer all these questions.

1. Calculate the values of x and y that satisfy the following equations.

x - 3y = 4
x + 6y = 1

2. (a) State whether the following statement is true or false.
7 < 3 and 4-1 = 3
(a) Write down two implications based on the following sentence.
A number is an even number if and only if the number can be divided by 2.

3. Draw the straight lines y=x and x=3. Hence, shade the region bounded by the following inequalities. y < x, x < 3 and y larger or equal to zero.

4. Linda has 5 red and 7 white roses in a basket.
(a) What is the probability of getting a white rose from the basket?
(b) If she wants to choose randomly two roses. What is the probability of getting 1 red amd 1 white roses?

5. A point A(2,3) is transformed by a combined transformation of TR. If R is a rotation of 90 degree clockwise at the origin, and T is a reflection at y-axes.What is the coordinate of the image of A?

You can either post your answer or email at huffy64@gmail.com

Learn Math, It is easy: Invitation to learn math group.

Learn Math, It is easy: Invitation to learn math group.

Form 6 : Geometry Deduction

Geometry is the study of properties and relationship of objects in one,two or three dimensions.
Euclid is a Greek Mathematician who collected information on mathematics including geometry. He use logical sequences approach based on basic fact known as axioms.
Euclidean Axiom
1. There is one and only one straight line that can be drawn between two points.
2. A line segment can be extended indefinitely.
3. There is one an only circle that can be drawn with any one point as the
center and any line segment as the radius.
4. All right angles are congruent.
5. There is one and only one straight line that can be drawn parallel to a fixed
line and passing through any point that is not on the given line.

Axioms is a statement that is always true and need not be proven
Theorem - a statement about an important fact.
- Basic theorem is proven using axioms and used to
prove other theorems.
- involves two statements like 'if p then q' which
means 'if statement p is true , then statement q is
true.

My dear online students, I'm sure you would like me to check your answer. You can either post your answer in the comment form or you can send me email with your answer. I'll reply it back to you. Better still you can join my Learn Math group.

Thank You.

Hafsah

Form 4 : Use scientific calculator to find roots of quadratic equation.

ROOTS OF QUADRATIC EQUATION

The values of the unknown which satisfy a quadratic equation are called roots.

To find roots of quadratic equation

1. write quadratic equation in general form,
2. factorise the quadratic expression,
3. equate each linear expression to zero and solve the linear equation.

To find roots using scientific calculator,

1. change mode to equation mode.
2. choose quadratic equation.
3. input the value of a,b and c from the general form of quadratic equation.
4. get the value of the two roots from the calculator.

Become a member to my group to have more information on this topic. It is free.

Invitation to learn math group.

I just create learn math group. All of you are invited to join this group. You can mailto:hafsah@googlegroups.com

Form 3 : Lines and Angles

Try all these questions.

1. ABC is a straight line. D is a point above line ABC. If angle ABC is 33 degree, what is the value of angle CBD?

2. If 3x is equal to one whole turn, what is the value of x ?

3. Given that P is right angle and 3q is a half turn. What is the value of p+q ?

4. Line AB intersect with line CD at point O. If angle AOC is 70 degree, find the value of

(a) angle COB

(b) angle BOD