Algebraic Expressions

Simplify the following

1. 2h+2y+3h+y

2. -7p+8p-12p

3. (1/2)x+(1/3)x

4. (5/8)p-(1/3)p

5. (2x^2y)/(xy)

6. 2p-3m+p-m

7. 3mn x 3m^2n

8. (1/3)hp^2 x 24hp

9. (1/2)(12xy-6pq)

10. (10mn)/(5mn)

Integers : Combined operations

Answer all of the following

1. -17+5-12

2. -23+5(7-5)

3. 23-4(18-15)

4. (-8)+(-7)+(-5)

5. (-8) - (-12)

6. (-27)/(-3)+(-4)

7. (-45)x3/(-5)

8. -65/(-5)x(-2)

9. -8-(-2)-(-7)

10. 41-25+17-33

-hbo

POLYNOMIAL

Answer all of the following

1. Given that a polynomial P(x) = x^3-6x^2+11x-6.

(a) Show that x-1 is a factor of the polynomial.

(b) Hence, factorise P(x) and solve P(x)=0


2. Given that f(x) = (x-2)/(x+1)(2x-1).
Find the set of values for f(x)<0.


3. Express 1/((x+2)(x-3)) in partial fractions.

4. Express (x^2-x+5)/((x^2+x-2) in the form A + B/(x+2)+c/(x-1).

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Integers

Answer all of the following.

Objective.

1. Which of the following numbers are integers?

(a) -3.5 (b) -7 (c) 1.55 (d) -2 2/5

2. -15, x, -9, -3, 0

(a) -18 (b) -14 (c) -12 (d) -10

3. Ali is on level x in a lift. When he goes up 2 levels he will be in level 6. What is the value of x?

(a) 2 (b) 4 (c) 8 (d) 12

4. An internet cafe has 25 customer. 2 minuters later another 7 customers enter the cafe. Then 20 minuters later 12 customer exit the cafe. How many of the customers are left in the cafe?

(a) 6 (b) 20 (c) 30 (d) 44

5. The temperature of Town A is -2 degree celcius at 12 midnight, 55 degree celcius at 12 noon and 30 degree celcius at 6.00 in the evening. What is the difference between the coldest and the warmest temperature of Town A (in degree celcius) ?

(a) 28 (b) 53 (c) 57 (d) 83

Subjective

1. Find the value of

(a) 2-7

(b) 12-30+2

2. Calculate

(a) -18+7-10

(b) 25-48+15

3. Find the value of

(a) 1128-1015+22

(b) -218+50-12

4. Calculate

(a) 5(20-27)+(-12)

(b) -3(20-16)-(7-11)

5. Dave is working at a basement 2 of a building. Then he goes up in a lift at level 20. What is the total levels that he pass through ?

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Partial Fractions

Answer all the following. Show all working.


1. express 3/((x+1)(x-2)) in partial fractions


2. Express (2x+1)/((2x-1)(x+2))


3 Express (3x-1)/((2x^2+1)(x-2))

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Algebraic Expressions

Try the following questions

1. Simplify

(a) x + 3x + 2x

(b) (a+b)+(2a-b)

(c) x(x+y)

(d) (5x+2y)-(3x-7y)

(e) 2(2a+b)+3b

2. Simplify the following

(a) (x+1)(x+1)

(b) (x+4)(x-2)

(c) (x^2-2xy)/x

(d) (4x^2y-3xy)/(xy)

(e) Ali has x pen and y pencil. If the price of pen and pencil are RM2 and RM1 respectively, what is the total price of pen and pencil that Ali has?

Ok, Happy trying!

Pn Hafsah Othman
huffy64@gmail.com

Modulus

Modulus of x is written as |x|. It is defined as x if x > 0 or -x if x < 0.
If |x| = b then x = b or x=-b for any real number.
If |x| < b then -b < x < b
If |x| > b then x <-b or x >b

Try the following question.

1. Find the value of x for the following modulus equation.

(a) |x| =3

(b) |3x| = 12

2. Solve the following inequalities and express your answer in an interval notation.

(a) |x| < 5

(b) |x| > 2

(c) |x-1| > 6

(d) |2x+3| > 2

(e) |2-x| > 7

Linear Equation

Solve the following linear equation

1. x + 1 = 5

2. 2x - 3 = 8

3. x/2 = 7

4. (x-5)/2 = 2

5. (2x-7)/3 = 5

6. 5-2x = 5x - 9

7. (x - 2)/5 = 2x

8. p - 7 = 3p + 3

9. 100m = 50m -20

10. (3p+1)/3 = 2p-1

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Polynomials

Answer all of the following.

1. A polynomial P(x)= 2x³ +3x²-2x-3

(a) Find P(2), P(-1)

(b) Determine if x-1 is a factor.


2. Given that a polynomial P(x) = x³ +2x² -7x+4.

(a) If x+4 is a factor of P(x), find the other two factors,

(b) Find the set of values of x for which P(x)>0


Happy trying email to huffy64@gmail.com

Statistics I

Answer all of the following.

Objective

1. Which of the following data is collected by measuring?

A. Numbers of cars passing at a certain bus stop.
B. Weight of a fish caught by a fisherman
C. Number of books sold in a bookstore.
D. Number of students enrolled in a certain school.

4, 4, 4, 5, 6, 7, 7, 8, 9,10

2. The above numbers are scores made by 10 students in a certain game. What is the percentage of sudents who scored more than 5 ?

A. 30%
B. 60%
C. 70%
D. 100%

Subjective

1. 1,2, 3,3, 4,4, 5, 5, 6, 6, 6, 7, 7, 8, 9

The data above shows the size of shoes in a group 15 girls.

(a) Find the mode and median for the above data.

(b) Calculate the percentage of the size that is more than 4.


2. 35, 45, 55,60,70,75, 80, 90

The data above shows the marks for a certain math test for 8 students.

(a) Find the mean marks for the test.

(b) If the passing mark is 50, calculate the percentage of the students who pass the test.


Happy trying! You can email me your answer at huffy64@gmail.com

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')

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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