Learn Math, It Is Easy

Fractions : Adding Two Proper fractions.

huffy64@gmail.com (Hafsah) — Tue, 01 Dec 2009 02:26:00 +0000

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.

huffy64@gmail.com (Hafsah) — Sat, 28 Nov 2009 12:28:00 +0000

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

huffy64@gmail.com (Hafsah) — Wed, 25 Nov 2009 22:23:00 +0000

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

huffy64@gmail.com (Hafsah) — Wed, 25 Nov 2009 21:59:00 +0000

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

huffy64@gmail.com (Hafsah) — Tue, 24 Nov 2009 11:17:00 +0000

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

huffy64@gmail.com (Hafsah) — Sun, 22 Nov 2009 08:32:00 +0000

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

huffy64@gmail.com (Hafsah) — Sat, 07 Nov 2009 02:24:00 +0000

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.

huffy64@gmail.com (Hafsah) — Sat, 07 Nov 2009 02:08:00 +0000

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

huffy64@gmail.com (Hafsah) — Sun, 01 Nov 2009 22:08:00 +0000

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

huffy64@gmail.com (Hafsah) — Fri, 23 Oct 2009 11:18:00 +0000

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

huffy64@gmail.com (Hafsah) — Fri, 23 Oct 2009 11:06:00 +0000

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

huffy64@gmail.com (Hafsah) — Fri, 23 Oct 2009 10:50:00 +0000

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

huffy64@gmail.com (Hafsah) — Sat, 26 Sep 2009 01:18:00 +0000

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)

huffy64@gmail.com (Hafsah) — Sat, 26 Sep 2009 01:09:00 +0000

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

huffy64@gmail.com (Hafsah) — Sun, 02 Aug 2009 04:46:00 +0000

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

huffy64@gmail.com (Hafsah) — Fri, 31 Jul 2009 12:04:00 +0000

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

huffy64@gmail.com (Hafsah) — Mon, 06 Jul 2009 12:02:00 +0000

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

huffy64@gmail.com (Hafsah) — Sun, 05 Jul 2009 01:47:00 +0000

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

huffy64@gmail.com (Hafsah) — Wed, 24 Jun 2009 22:24:00 +0000

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

huffy64@gmail.com (Hafsah) — Wed, 24 Jun 2009 10:09:00 +0000

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

huffy64@gmail.com (Hafsah) — Thu, 11 Jun 2009 14:30:00 +0000

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

huffy64@gmail.com (Hafsah) — Sun, 07 Jun 2009 04:22:00 +0000

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

huffy64@gmail.com (Hafsah) — Sun, 07 Jun 2009 03:30:00 +0000

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

huffy64@gmail.com (Hafsah) — Sun, 07 Jun 2009 03:20:00 +0000

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

huffy64@gmail.com (Hafsah) — Sat, 06 Jun 2009 07:01:00 +0000

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