Learn Math, It Is Easy

Whole Number- combined operations

2011-05-07T20:06:00.000-07:00

Calculate all of the following.

1. 235 +2(12-5)
2. 528 -3(27-9)
3. 97+15(7+3)
4. 3(15-7)+2(4+11)
5. 8(27-12)-2(15-8)
7. 12(12-7)-5(8-3)
8. 337-5(25-15)+123
9. 321+21(15-7+2)
10. 42(7-5)+3(12-4)-25

happy trying!

Pn hafsah

POLYNOMIAL

2011-05-02T05:22:00.000-07:00

Answer the following.

1. A polynomial P is defined as P(x) = 9x^3 + 18x^2-x-2. Show that x+2 is a factor of P(x). Hence, factorise P(x) and find the solution set for P(x)>0. (8 m)

Happy trying dear....

Pn Hafsah

Whole Number : Addition & Subtraction

2011-05-02T04:50:00.000-07:00

Answer all of the following

1. Calculate
(a) 22 + 3
(b) 35 + 15
(c) 27 + 14
(d) 33 + 22 + 44
(e) 28 + 45 + 67

2. Calculate
(a) 15 - 4
(b) 22 - 7
(c) 35 - 17
(d) 120 - 37 - 12
(e) 141 - 47 - 25

3. Calculate
(a) 70 -20 + 30
(b) 45 + 35 - 22
(c) 40 + 25 -20 + 5
(d) 32 - 8 + 25 - 7

Happy trying !

- Pn Hafsah

Whole Number : Multiplication & Division

2011-05-02T04:31:00.000-07:00

1. Calculate
(a) 22 x 5
(b) 35 x 12
(c) 72 x 14
(d) 15 x 12 x 13

2. Calculate
(a) 18 / 6
(b) 225 / 5
(c) 1024 / 16
(d) 512 / 8 / 4

3. Calculate
(a) 72 / 4 x 3
(b) 15 x 4 / 6

( note : '/' for divide)

Happy trying !
-Pn Hafsah

Linear Equation

2010-08-06T15:21:00.000-07:00

Solve for all of the following linear equations:

1. 2p = 0

2. h+1=0

3. 2k-1=5

4. 5t-20=15

5. 8y+3=27

Happy trying!

Decimal

2010-06-17T22:01:00.000-07:00

Answer all of the following.

1. Calculate 123.7+2.4

2. Calculate 23+7.3

3. Calculate 32.45+413.75

4. Calculate 243.232+19.079

5. Calculate 324.8 + 0.78

6. Calculate 243-1.65

7. Calculate 12.7-8.87

8. Calculate 4.3-1.5

9. Calculate 2.3-0.65

10. Calculate 9.46-5.75

11. Calculate 120x0.5

12. Calculate 1234x0.002

13. Calculate 405x1.2

14. Calculate 12.4x2.2

15. Calculate 4.53x0.1

16. Calculate 315/0.5

17. Calculate 1.24/0.02

18. Calculate 4.9/0.7

19. Calculate 324.5/0.05

20. Calculate 144/1.2

Algebra

2010-06-14T22:58:00.000-07:00

All post are free. Some sugested reading is only sugestion. there is no obligation to buy.
Try this book on algebra. The more you practice the more you gain.

Practise yourself and sharpened your skill.

E mail me at huffy64@gmail.com

Polynomial

2010-06-13T19:51:00.000-07:00

Hi there. I am sure after doing so much math problems in this blog, you could try some of the bracelets here. Some of them are colorful and look smart. Or, you could type bracelets or whatever and find out what you prefer.

I am trying to post more math T problems here and some more problems for pmr and spm students. So stay tuned....

Try click the link above to go to a polynomial question. (At the top)

hafsah_hbo@yahoo.com

Percentages

2010-06-13T19:33:00.000-07:00

Answer all of the following.

1. Calculate
(a) 20% of $200
(b) 5% 0f $5 000

2. Dahlia use 30% of her salary to pay for food each month. If the amount used for food is $500, what is her salary?

3. David deposit $4000 at the beginning of year 2009. After a full year, what is his dividend if the rate is 6% ?

Partial Fractions

2010-06-13T06:25:00.000-07:00

Answer all of the following.

1. Express (x+9)/(10+3x-x^2) in partial fractions.

2. Express (2x^2+7)/(x-2)(x^2+1) in partial fractions.

Hi there! Email me your answer..

Happy Tryimg!

Hafsah,

huffy64@gmail.com

Linear Equations

2010-05-27T20:15:00.000-07:00

Answer all of the following

1. Solve

(a) x+3=0
(b) x-7=0
(c) x+2=5
(d) x-4=2

2. Solve

(a) 2x+4=0
(b) 5x-3=17
(c) 3x+5=23
(d) (1/2)x=9

3. Solve

(a) 1-x = 5
(b) 9-2x=7
(c) (1/5)(3-x)=10
(d) (1/3)x=(2/5)

4. Solve

(a) 1-3x=x+5
(b) 7-x=3x-1

Happy trying

hafsah ...

huffy64@yahoo.com

modulus

2010-05-27T19:58:00.000-07:00

Answer all of the following.

1. Find the solution set for

(a)| x |> 3 (b) |x| < 7

2. Find the solution set for

(a) | x-2|< 5 (b) |x+7| > 12

3. Find the solution set for the following

(a) |2x+5| < 20 (b)| (1/3)x-8| >6

4. Find the solution set for the following

(a) |7x-3| <| x+2| (b) | 5-3x| >| 5x -1|

Happy trying !
Hafsah....
huffy64@gmail.com

Whole number - Combined operations

2010-05-01T17:07:00.000-07:00

Answer all of the following.

1. Calculate 12-4+7

2. Calculate 3x20-7x4

3. Calculate 72 - 2x15+3

4. Evaluate 48/(8-5)

5. Evaluate 32/8 + 49/7

Happy Trying

Hafsah
huffy64@gmail.com

Fractions : Adding Two Proper fractions.

2009-11-30T18:26:00.000-08:00

STEPS

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.

2009-11-28T04:28:00.000-08:00

Answer the following:

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

2009-11-25T14:23:00.000-08:00

Probability formula : P(A) = n(A) / n(S)

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

2009-11-25T13:59:00.000-08:00

Answer all of the following :

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

2009-11-24T03:17:00.000-08:00

Answer the following:

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

2009-11-22T00:32:00.000-08:00

Answer all of the following.

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

2009-11-06T18:24:00.000-08:00

Answer all of the following

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

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

3. (2/5) x (3/4)

4. (3/4) /2

5. (1 1/3 + 2 1/6)

6. (1 1/7 -4/5)

Happy Trying !

Hafsah huffy64@gmail.com

Circle : Circumference.

2009-11-06T18:08:00.000-08:00

Answer all of the following.

1. Find the circumference of a circle given that

(a) radius = 7 cm.

(b) radius = 3.5 cm.

(c) radius = 10.5 cm.

(d) radius = 42 cm.

2. Find the circumference of a circle given that the diameter is

(a) 70 cm.

(b) 35 cm.

(c) 2.1 cm.

Happy Trying !

Hafsah

Geometry Coordinate

2009-11-01T14:08:00.000-08:00

Answer all of the following.

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

2009-10-23T04:18:00.000-07:00

Solve all of the following.

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

2009-10-23T04:06:00.000-07:00

Solve all of the following.

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

2. 4x² -2x-3=0

2. x² =92+5x)/3

4. 7x=3(1-2x² )

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

Happy Trying

Linear Equation

2009-10-23T03:50:00.000-07:00

Solve the following 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

2009-09-25T18:18:00.000-07:00

1. Factorize the following expressions.

(a) 9x² - 3x

(b) 2x + 10x²

(c) x² - 4x +4

(d) x² + 5x + 6

(e) 2x² +14x +12

2. Solve the following quadratic equations.

(a) x² -4x + 3=0

(b) x² -3x+2=0

(c) x² + 2x + 1=0

(d) x² +4x+ 3=0

(e) 2x² -8x+6=0

Happy Trying !
huffy64@gmail.com

Whole Number ( Combined Operations)

2009-09-25T18:09:00.000-07:00

Answer all of the following

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

2009-08-01T21:46:00.000-07:00

Answer all of the following.

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

2009-07-31T05:04:00.000-07:00

Anwer all of the following.

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

2009-07-06T05:02:00.000-07:00

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

2009-07-04T18:47:00.000-07:00

nswer all of the following

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!

Quadratic Expression

2009-06-24T15:24:00.000-07:00

Answer this question

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

2009-06-24T03:09:00.000-07:00

Answer all the following simultaneous linear equations:

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

2009-06-11T07:30:00.000-07:00

When you add or subtract 2 decimals, aligned the number according to its place value. Retain the decimal point.

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

2009-06-06T21:22:00.000-07:00

Solve the following 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

2009-06-06T20:30:00.000-07:00

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

2009-06-06T20:20:00.000-07:00

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

2009-06-06T00:01:00.000-07:00

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).

Email me your answer at huffy64@gmail.com

Integers

2009-05-30T19:31:00.000-07:00

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 ?

happy trying ! Email me at huffy64@gmail.com

Partial Fractions

2009-05-26T03:08:00.000-07:00

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))

Email me at huffy64@gmail.com

Algebraic Expressions

2009-05-26T02:39:00.000-07:00

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

2009-05-23T22:08:00.000-07:00

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

2009-05-19T02:10:00.000-07:00

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

You can email me at huffy64@gmail.com

Polynomials

2009-05-12T05:27:00.000-07:00

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

2009-05-02T19:55:00.000-07:00

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

2009-04-30T19:18:00.000-07:00

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

2009-04-27T04:16:00.000-07:00

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

2009-04-17T18:17:00.000-07:00

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

2009-04-04T22:27:00.000-07:00

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

2009-03-28T18:49:00.000-07:00

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

2009-03-16T20:42:00.001-07:00

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

2009-03-11T01:38:00.001-07:00

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

2009-03-02T06:09:00.001-08:00

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

2009-03-02T00:00:00.000-08:00

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

2009-03-01T23:38:00.000-08:00

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

2009-02-24T13:40:00.000-08:00

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

2009-02-20T04:28:00.000-08:00

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

2009-02-14T22:11:00.000-08:00

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

2009-02-14T04:16:00.000-08:00

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.

2009-02-14T04:09:00.000-08:00

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

Form 6 : Geometry Deduction

2009-02-13T05:28:00.000-08:00

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.

2009-02-11T04:05:00.000-08:00

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.

2009-02-06T23:18:00.000-08:00

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.

2009-02-02T07:21:00.000-08:00

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

2009-01-31T20:17:00.000-08:00

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

2009-01-31T18:50:00.000-08:00

I'm so sad today that my grape plant just died this morning after 2 months of caring it. Well, may be because I haven't enough knowledge of growing the plant. Ok, for now, I have some questions for Form 1 students to try. If you have any question on the topic, you can post comments. If you would like me to check your answer, you can e-mail me your answer and it's working solution to me.

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.

2009-01-29T21:44:00.000-08:00

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.