### Fractions : Adding Two Proper fractions.

1. Make both denominators be the same.

2. Add the numerator.

3. Simplify.

Example 1 : Add 1/3 + 2/5

Step 1 : (1x5)/(3x5) + (2x3)/(5x3)

Step 2 : (5+6)/(15)

Step 3 : 11/15

Example 2 : Add 2/3 + 4/7

Step 1 : (2x7)/(3x7) + (4x3)/(7x3)

Step 2 : (14+12)/(21)

Step 3 : 26/21@1 5/21

Hafsah

### Decimal : Basic operations on decimals.

1. Calculate

(a) 12.8+0.27

(b) 109.075 +121.75

2. Find

(a) 45.7 - 12.5

(a) 128.1-47.25

3. Evaluate

(a) 12.5 x 4

(b) 15.7 x 1.5

4. Find

(a) 22.4/2

(a) 24/0.5

5. Calculate

(a) 3(2.5-0.7)+2(1.2+0.5)

(a) (128.5-20)/0.2

Happy Trying!

Hafsah

### Probability

Try the following :

There are 4 red roses and 6 white roses in a basket. Calculate the probability of getting

(a) a red rose if one rose is picked from the baskets.

(b) both roses are of the same color if two roses are picked from the baskets.

Happy trying!

Hafsah

### Perimeter & Area

1. Given a square has length 9 cm. Find

(a) the perimeter and

(b) the area

of the square.

2. A square has length 12 cm. Find

(a) the perimeter and

(b) the area

of the square.

3. Given a rectangle has length 4 cm and width 3 cm. Find

(a) the perimeter and

(b) the area

of the rectangle.

4. A rectangle has length 20 cm and width 8 cm. Find

(a) the perimeter and

(b) the area

of the rectangle.

5. Given a rectangle has length twice of its width. If the width is 12cm, find

(a) the perimeter and

(b) the area

of the rectangle.

Happy Trying guys

contact me at huffy64@gmail

hafsah

### Polynomials

Given that P(x)=2x^3-7x^2-2x+7. Show that x+1 is a factor of P(x).

Hence,

(a) find all factors of P(x)

(b) solve P(x)=0

(c) find the set solution for P(x)>0.

Happy Trying !

Hafsah

### Whole Number - Solving Problems

1. Ali and Ravi bought 80 and 75 marbles respectively. What is the total of their marbles ?

2. At the beginning David has 110 stamps. He gave 35 stamps to his friend Rashid. What is the number of stamps left ?

3. A teacher wants to distribute 120 sweets equally to 40 students. How many sweets each student has ?

4. A box contains a dozen books. If there are 5 boxes, how many books are there ?

Happy Trying !

Hafsah

### Fraction

### Circle : Circumference.

### Geometry Coordinate

1. Given A(1,3), B(4,7). Find

(a) the mid-point of A and B.

(b) the length of AB.

(c) the gradient of AB.

2. Given that the equation of a straight line is y=3x+2. Find the equation of another straight line if

(a) it is perpendicular to line y=3x+2 and passing through origin.

(b)it is parallel to line y=-2x+5 and passing through point (0,2)

3. Find the distance of point AB. Given that

(a) A(0,2), B(0,-8)

(b) A(0,3),B(4,0)

(c) A(2,1),B(7,-11)

Happy Trying !

Hafsah

huffy64@gmail.com

### Probability

There are 3 white and 4 red marbles in a box. Find the probability that

(a) a white marble is chosen if a marble is picked randomly from the box.

(b) two marbles of the same color were chosen if two marbles are picked one by one without replacing.

Happy trying !

### Quadratic Equations

1. (2x - 1)(x +3) =0

2. 4x

^{2}-2x-3=0

2. x

^{2}=92+5x)/3

4. 7x=3(1-2x

^{2})

5. 2x-1 = 3/(2x)

Happy Trying

### Linear Equation

1. x+3=0.

2. x-5=0.

3. 2x = 8.

4. 2x -5 = 1.

5. 3x+1= 7.

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

7. (1/2)(2x-1)=3

8. 2p-4=6

9. 0.5h = 5

10. 3h=12

Happy trying!

### Quadratic Expressions & Equations

(a) 9x

^{2}- 3x

(b) 2x + 10x

^{2}

(c) x

^{2}- 4x +4

(d) x

^{2}+ 5x + 6

(e) 2x

^{2}+14x +12

2. Solve the following quadratic equations.

(a) x

^{2}-4x + 3=0

(b) x

^{2}-3x+2=0

(c) x

^{2}+ 2x + 1=0

(d) x

^{2}+4x+ 3=0

(e) 2x

^{2}-8x+6=0

Happy Trying !

huffy64@gmail.com

### Whole Number ( Combined Operations)

1. Calculate 25 / 5 + 2

2. Evaluate 20(6-2)

3. Find 3(14/2) - 4 x 2

4. Calculate 30 - 2 x 5 - 7

5. 28 + 6 / 2 - 9

Happy Trying !

- Hafsah

huffy64@gmail.com

### Algebraic Expression

1. Identify like terms fo the following: 2x, -2p, 0.5x, w, 7x

2. State the coefficient of p of each of the following

(a) 3p

(b) -2.5p

(c) 0.5mnp

3. Simplify the following

(a) (3m+n)+(5m-2n)

(b) 2(a-b+1)+3(a-3b+5)

4. Simplify the following algebraic expression

(a) 24xy/6y

(b)12pq/18qr

5. Simplify (320mn/8mp) x 2n

Happy trying

### Whole Number

1. Round off 29580 to the nearest hundreds.

2. Calculate

(a) 280 - 3x20 - 70

(b) (320 - 160)/4

3. Calculate

(a) 75x15

(b) 84-3x21+28

4. Safri, Aman and Dan has 120 , 78 and 102 marbles respectively. What is the total of their marbles ?

5. Rosie spends RM15 for T-shirt and RM17 for a blouse at a supermarket. If she paid RM50 note, what is the balance she received from the cashier ?

Happy Trying!

### Linear Equation

**Linear Equations**

Answer all of the following

1. Find the value of x

(a) 2x+5=6

(b) 3x-7=14

2. Find the value of y

(a) 3y+y=16

(b) (½)y=-11

3. Solve the following equation

(a) 3p-1=11

(b) (¼)p =2

4. Solve the following equation

(a) 7(h-5)=35

(a) (¾)(m-2)=3

5. Solve

(a) -4(t+3)=12

(b) (5-x)÷(x-2)=3

*Happy trying !*

### POLYNOMIAL

1. Given that a polynomial P(x) =4x^3-8x^2-x+2.

(a) Show that x-2 is a factor of P(x)

(b) Factorise P(x)

(c) Find the zeroes of P(x)

(d) Find the solution set for P(x) > 0

2. Express (8x+4)/(x^2+2x-3) as partial fractions.

Happy trying! Email me your answer!

Reactions: |

### Quadratic Expression

1. Show that the quadratic f(x)=3x^2 - 6x+7 is always positive for all values of x.

2. Express x^2-4x+7 in the form a(x+p)^2+q and sketch the curve.

3. Express -x^2-2x+3 in the form a(x+p)^2+q and sketch the curve.

4. Write the following quadratic expressions in completed square form and sketch the graphs.

(a) x^2+4x+9

(b) 3x^2-18x-25

Happy trying...

### Simultaneous Linear Equation

1. x+y=2

2x- y=7

2. p - q=-6

p+3q=-2

3. 4m-n=3

2m+n=0

4. Given y=2x-5

(a) Find y when x=2

(b) Find x when y=o

5. Given h=(1/2)m +3

(a) Find h when m=10

(b) Find m when h=0

Enjoy trying!

### DECIMALS : Addition and Subtraction

Try the following question.

1. Find 2.5 + 1.3

2. Calculate 12.8+0.22

3. Calculate 8.4+7.2

4. Calculate 15+9.4

5. Find 12.01+0.38+270.781

6. Find 2.6-1.4

7. Find 12-3.7

8. Find 28-12.75

9. Find 24.75-12.86

10.Find 125.78-64.8-30.5

Good luck !

### Linear Equations

1. x-7=0

2. p+3=0

3. 2m-3=0

4. 3p-(1/3)=0

5. 5k-1 =1

6. 7n=2-3n

7. k=21-2k

8. (k-3)/7 =3

9. (5k-2)/2=9

10. 7m-5=2m+7

Enjoy trying!

### Algebraic Expressions

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

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

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).

Email me your answer at huffy64@gmail.com

### Integers

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 ?

happy trying ! Email me at huffy64@gmail.com

### Partial Fractions

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))

Email me at huffy64@gmail.com

### Algebraic Expressions

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

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

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

You can email me at huffy64@gmail.com

### Polynomials

1. A polynomial P(x)= 2x

^{3}+3x

^{2}-2x-3

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

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

2. Given that a polynomial P(x) = x

^{3}+2x

^{2}-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

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

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

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

1. y=7

2. y= -2x

3. y=x

^{2}-5

4. y=x

^{3}+5x-3

5. y=-5x

^{3}-3x

^{2}+2x-9

Email me you answer, huffy64@gmail.com

### Add Math : Composite Function

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*)=3

*x*-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*)=5

*x*+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

Answer all of the following.

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

f : x-->x

^{2}, 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 --> x

^{2}+1. Find

(a) f

^{-1}

(b) ff

(c) ff

^{-1}

(d) f

^{ -1}f

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) q

^{2}(b)

*q*

^{2}+3 (c)

*q*

^{2}+4

*q*+3 (d)

*q*

^{2}+8

*q*-1

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

4. The value of the underlined digit in the number 2

__7__051 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}+4

*p*-1=

(a)

*p*

^{2}(b)

*p*

^{2}+3 (c)

*p*

^{2}+4

*p*+3 (d)

*p*

^{2}+8

*p*-1

^{-1}

_{3})=5.Find the value of x.

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

4.

__1.2 ×10__=

^{-5}(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 110

__1__1011

_{2}is

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

7. 11

_{2}+ 101

_{2 }(a) 10000

_{2}(b) 1101

_{2}(c) 1000

_{2}(d) 111

_{2}

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

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

Reactions: |

### Form 5 : Revision

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 y

Reactions: |

### FORM 1 : Multiples

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

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

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### Form 3 : Revision

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

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### 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*

### 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.

### Form 4 : Use scientific calculator to find 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.

### Form 3 : Lines and Angles

*Try all these questions*.

*x*is equal to one whole turn, what is the value of

*x*?

*p*+

*q*?

FORM : WHOLE NUMBER

Answer all question

Section A : Objective

1 Round off 124 816 to the nearest thousands.

A. 124 000

B 124 800

C. 124 900

D 125 000

2. State the place value of the underlined digits 97 865

A. Thousands

B. Hundreds

C. Tens

D. Units

3. Which of the following describe a whole number ?

A A counting number.

B A number to describe measurement of weight, height and length.

C A number use for area and perimeter.

D A number use for volume and density and temperature.

4. 34, x , 24, 19

The value of x in the above sequence is

A 30

B 29

C 28

D 27

5. Calculate the following 34 + 72 -24

A 14

B 62

C 82

D 130

6. The value of digit 7 in the number 275 109 is

A 70

B 7000

C 70 000

D 700 000

7. Which of the following will become 32 400 when rounded off to the nearest hundreds?

A 32349

B 32375

C 32450

D 32490

8. Calculate the value of 12+2(8-4)

A 8

B 12

C 20

D 24

9. Ahmad, Danny and Ravi has 35, 20 and 40 marbles respectively. What is the sum of their marbles ?

A 15

B 25

C 95

D 105

10. A hawker sells RM 3 for a pack of fruits . If a customer buys 7 packs and pays RM 50, what is the balance of the money ?

A RM 15

B RM 29

C RM 150

D RM 350

Section B : Subjective.

1. (a) Write 12 485 in words

(b) Write Two thousand four hundred and fifteen.

2. Find the value of

(a) 22+ 46

(b) 12 x 16

3. Calculate the value of

(a) 33 + 25 + 37

(b) 72 -34-22

4. Evaluate the value of

(a) 132-48 +18

(b) 144 + 35 -34

5. Solve each of the following

(a) 65 – 2( 12+3)

(b) 37 + 3(40-15)

### Welcome To Learn Math it is Easy.

**Assalamualaikum and welcome to my**blog.

I am Pn Hafsah Othman. You can just call me Pn Hafsah. I hope you all enjoy School holiday and Happy Chinese New Year. Since this is my first blog for this topic, I would like to inform you all how happy I am to be able to create something on this blog. I hope to be able to post something on Mathematics for beginners and some video clips on certain math topics or subtopics.

## Welcome to Learn Math Easy

## About Me

- Hafsah
- Hafsah Othman is a mathematics teacher. She loves teaching. She would like to explore using blog as a way of enhancing her teaching skill.

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