Thursday 4 November 2010
Wednesday 20 October 2010
Age word Problems practice questions
Age Problems
Example:
Leah is 2 years older than Tracy. Together the girls are 10 years
old. How old are they?
1. The sum of the ages of Jessica, her mother, and her
grandmother is 100 years. The grandma is twice as
old as the mother. Jessica's mother is 28 years older
than Jessica. How old is grandma?
2. The sum of Eric's age and Lucas's age is 65. Two
times Eric's age is the same as three times Lucas's
age. Find the ages of the men.
3. Michael's age is multiplied by 7. Then 9 is added.
The result is 93. How old is Michael?
Use of the Words "More Than"
and "Less Than"
Beware of keywords! Many people believe that if they see
"more than" in a word problem they must add and with "less
than" they must subtract. That is not always the case. Look at
the following examples:
Examples:
a) Sue weighs 5 pounds more than Amanda. If Amanda
weighs 103 pounds, how much does Sue weigh?
b) Sue weighs 5 pounds less than Amanda. If Sue weighs
103 pounds, how much does Amanda weigh?
c) A school has an enrollment of 2381 students. This
is 53 students less than last year. What was the
enrollment last year?
d) A school had an enrollment of 2381 students last
year. This is 53 students less than this year. What is
the enrollment this year?
In each of these examples should you add or subtract?
Solutions:
a) Who weighs more? Sue. So we add 5 pounds to
Amanda's 103 pounds.
b) Who weighs more? Amanda. So we add 5 pounds
to Sue's 103 pounds
c) Is the enrollment larger this year? No, it is smaller
by 53 students. We add 53 students to 2381.
d) Last year's enrollment was smaller than this year's.
We add 53 to 2381.
Answers:
a) and b) 108 pounds; c) and d) 2434.
Practice Problems:
1. Six less than a number is 20. Find the number.
2. The sun rose at 7:45 a.m. That is 3 minutes earlier
than yesterday. At what time did the sun rise
yesterday?
3. The water level in the reservoir was 67.3 ft. That is
0.1 ft. higher than a month ago. What was the water
level a month ago?
4. The population of the village is 487. That is 16
people less than 5 years ago. What was the
population 5 years ago?
5. Joan weights 143 pounds. That is 10 pounds more
than she weighed 5 years ago. How much did she
weigh 5 years ago?
Monday 18 October 2010
Wednesday 13 October 2010
Funny Exam Quotes
The more studying you did for the exam, the less sure you are as to which answer they want.
80% of the final exam will be based on the one lecture you missed and the one book you didn’t read.
Every instructor assumes that you have nothing else to do except study for that instructor’s course.
The night before the English History mid-term, your biology instructor will assign 200 pages on planaria.
If you are given an open-book exam, you will forget your book.
If you are given a take-home exam, you will forget where you live.
Bryn Mawr had done what a four-year dose of liberal education was designed to do: unfit her for eighty per cent of useful work of the world.
To those of you who received honors, awards and distinctions, I say well done. And to the C students, I say you too may one day be president of the United States.
You can lead a boy to college but you can’t make him think.
Of course there’s a lot of knowledge in universities: the freshmen bring a little in; the seniors don’t take much away, so knowledge sort of accumulates….
Everyone has a right to a university degree in America, even if it’s in Hamburger Technology.
When reviewing your notes before an exam, the most important will be illegible. College isn’t the place to go for ideas.
I was thrown out of college for cheating on the metaphysics exam: I looked into the soul of another boy. (Clown Prince of American Humor, 1975)
Colleges are like old-age homes, except for the fact that more people die in colleges.
A college is a place where pebbles are polished and diamonds dimmed.
80% of the final exam will be based on the one lecture you missed and the one book you didn’t read.
Every instructor assumes that you have nothing else to do except study for that instructor’s course.
The night before the English History mid-term, your biology instructor will assign 200 pages on planaria.
If you are given an open-book exam, you will forget your book.
If you are given a take-home exam, you will forget where you live.
Bryn Mawr had done what a four-year dose of liberal education was designed to do: unfit her for eighty per cent of useful work of the world.
To those of you who received honors, awards and distinctions, I say well done. And to the C students, I say you too may one day be president of the United States.
You can lead a boy to college but you can’t make him think.
Of course there’s a lot of knowledge in universities: the freshmen bring a little in; the seniors don’t take much away, so knowledge sort of accumulates….
Everyone has a right to a university degree in America, even if it’s in Hamburger Technology.
When reviewing your notes before an exam, the most important will be illegible. College isn’t the place to go for ideas.
I was thrown out of college for cheating on the metaphysics exam: I looked into the soul of another boy. (Clown Prince of American Humor, 1975)
Colleges are like old-age homes, except for the fact that more people die in colleges.
A college is a place where pebbles are polished and diamonds dimmed.
Funny Quotes
“I am so clever that sometimes I don’t understand a single word of what I am saying.”
“I used to have an open mind but my brains kept falling out.”
“I couldn’t repair your brakes, so I made your horn louder.”
When I’m not in my right mind, my left mind gets pretty crowded.
Join The Army, Visit exotic places, meet strange people, then kill them.
There are three sides to any argument: your side, my side and the right side.
Never argue with a fool. People might not know the difference.
Everyone makes mistakes. The trick is to make mistakes when nobody is looking.
When everything’s coming your way, you’re in the wrong lane.
Always and never are two words you should always remember never to use.
Death is hereditary.
Where there’s a will, there are five hundred relatives.
They say hard work never hurts anybody, but why take the chance.
“I used to have an open mind but my brains kept falling out.”
“I couldn’t repair your brakes, so I made your horn louder.”
When I’m not in my right mind, my left mind gets pretty crowded.
Join The Army, Visit exotic places, meet strange people, then kill them.
There are three sides to any argument: your side, my side and the right side.
Never argue with a fool. People might not know the difference.
Everyone makes mistakes. The trick is to make mistakes when nobody is looking.
When everything’s coming your way, you’re in the wrong lane.
Always and never are two words you should always remember never to use.
Death is hereditary.
Where there’s a will, there are five hundred relatives.
They say hard work never hurts anybody, but why take the chance.
Saturday 9 October 2010
Short Inspirational Religious quotes and sayings
"O you who believe! seek assistance through patience and prayer; surely Allah is with the patient. (The Holy Quran 2.153)"
I died as a mineral and became a plant;
I died as a plant and rose to animal;
I died as animal and I was a man.
Why should I fear? When was I less by dying?
Yet once more I shall die as man to soar
With angels blest. But even from an angel
I must pass on: all except God must perish.
When I have sacrificed my angel soul,
I shall become what no mind ever conceived.
JALALUDDIN RUMI
"Truth is so obscure in these times, and falsehood so established, that, unless we love the truth, we cannot know it."
Blaise Pascal
A bird that you set free may be caught again, but a word that escapes your lips will not return.
Jewish Proverb
I died as a mineral and became a plant;
I died as a plant and rose to animal;
I died as animal and I was a man.
Why should I fear? When was I less by dying?
Yet once more I shall die as man to soar
With angels blest. But even from an angel
I must pass on: all except God must perish.
When I have sacrificed my angel soul,
I shall become what no mind ever conceived.
JALALUDDIN RUMI
"Truth is so obscure in these times, and falsehood so established, that, unless we love the truth, we cannot know it."
Blaise Pascal
A bird that you set free may be caught again, but a word that escapes your lips will not return.
Jewish Proverb
Sunday 3 October 2010
Your Class Positions and grades
Dear students your grades, class positions and best students are announced. Look for your individual numbers and grades in your class tabs. Congratulations to 7-R you have been impressive in all fields.
Best Class (Marks) = 7-R
Best Class (Behavior) = 7-R
Best Class (Stars) = 7-R
Best Class (Class Work) = 7-S
Winner = 7-R
Best Student(s) = Subeeka Nadeem, Meer Shehryar,
M.Mehdi Ali, Zain Zakai,
Mohsin Jamil, Arib Haqqi
M.Mehdi Ali, Zain Zakai,
Mohsin Jamil, Arib Haqqi
All of the above students have same marks & grades,they share combine position congratulations to my
little geniuses .
Saturday 2 October 2010
PTM
Thank you very much for your visit today...it was a nice ptm looking forward to your future visits.
thank you to all the parents who visited and liked my style of teaching.....
samad ashfaq
thank you to all the parents who visited and liked my style of teaching.....
samad ashfaq
Saturday 25 September 2010
New Addition
watch the new look of my blog, now play games, search the blog, write your questions or answer the questions of others.
write articles ,stories or any thing for students section send them to samadashfaque@gmail.com
for games go down the blog
write articles ,stories or any thing for students section send them to samadashfaque@gmail.com
for games go down the blog
Friday 24 September 2010
Results
Look for your results in your class tabs,7-P results have some changes...
congrats to 7-R for having most 20 marks students
your grades will be published later
have fun
congrats to 7-R for having most 20 marks students
your grades will be published later
have fun
Thursday 16 September 2010
Ten Rules for Being Human
Ten Rules for Being Human
by Cherie Carter-Scott
1. You will receive a body. You may like it or hate it, but it's yours to keep for the entire period.
2. You will learn lessons. You are enrolled in a full-time informal school called, "life."
3. There are no mistakes, only lessons. Growth is a process of trial, error, and experimentation. The "failed" experiments are as much a part of the process as the experiments that ultimately "work."
4. Lessons are repeated until they are learned. A lesson will be presented to you in various forms until you have learned it. When you have learned it, you can go on to the next lesson.
5. Learning lessons does not end. There's no part of life that doesn't contain its lessons. If you're alive, that means there are still lessons to be learned.
6. "There" is no better a place than "here." When your "there" has become a "here", you will simply obtain another "there" that will again look better than "here."
7. Other people are merely mirrors of you. You cannot love or hate something about another person unless it reflects to you something you love or hate about yourself.
8. What you make of your life is up to you. You have all the tools and resources you need. What you do with them is up to you. The choice is yours.
9. Your answers lie within you. The answers to life's questions lie within you. All you need to do is look, listen, and trust.
10. You will forget all this.
by Cherie Carter-Scott
1. You will receive a body. You may like it or hate it, but it's yours to keep for the entire period.
2. You will learn lessons. You are enrolled in a full-time informal school called, "life."
3. There are no mistakes, only lessons. Growth is a process of trial, error, and experimentation. The "failed" experiments are as much a part of the process as the experiments that ultimately "work."
4. Lessons are repeated until they are learned. A lesson will be presented to you in various forms until you have learned it. When you have learned it, you can go on to the next lesson.
5. Learning lessons does not end. There's no part of life that doesn't contain its lessons. If you're alive, that means there are still lessons to be learned.
6. "There" is no better a place than "here." When your "there" has become a "here", you will simply obtain another "there" that will again look better than "here."
7. Other people are merely mirrors of you. You cannot love or hate something about another person unless it reflects to you something you love or hate about yourself.
8. What you make of your life is up to you. You have all the tools and resources you need. What you do with them is up to you. The choice is yours.
9. Your answers lie within you. The answers to life's questions lie within you. All you need to do is look, listen, and trust.
10. You will forget all this.
Friday 10 September 2010
EID-AL-FITR
EID-AL-FITR is celebrated on the first day of Shaw'waal, at the completion of Ramadan. Shaw'waal is the 10th month of the Islamic calendar. The Eid-al-Fitr is a very joyous day; it is a true Thanksgiving Day for the believing men and women. On this day Muslims show their real joy for the health, strength and the opportunities of life, which Allah has given to them to fulfill their obligation of fasting and other good deeds during the blessed month of Ramadan.
THE SUNNAH OF EID:
1. Wake up early.
2. Offer Salatul Fajr. 3.Prepare for personal cleanliness take care of details of clothing, etc.
4. Take a Ghusl (bath) after Fajr.
5. Brush your teeth.
6. Dress up, putting on best clothes available, whether new or cleaned old ones.
6. Use perfume.
7. Have breakfast on Eid-al-Fitr before leaving for prayer ground. On Eid-al-Adha, eat breakfast after Salaat or after sacrifice if you are doing a sacrifice.
8. Pay Zakaat-al-Fitr before Salaat-al-Eid (on Eid-al-Fitr).
9. Go to prayer ground early.
10. Offer Salaat-al-Eid in congregation in an open place except when whether is not permitting like rain, snow, etc.
11. Use two separate routes to and from the prayer ground.
12. Recite the following Takbir on the way to Salaat and until the beginning of Salaat-al-Eid. On Eid-al-Adha, Takbir starts from Mughrib on the 9th Zdilhijjah and last until the Asr on the 12th Zdilhijjah: Allaho-Akber, Allaho-Akber. La ila-ha ill-lal-lah. Allaho-Akber, Allaho-Akber. Wa-lilahill hamd. (Allah is greater. Allah is greater. There is no god but Allah. Allah is greater. Allah is greater. And all praises are for Allah).
THE SUNNAH OF EID:
1. Wake up early.
2. Offer Salatul Fajr. 3.Prepare for personal cleanliness take care of details of clothing, etc.
4. Take a Ghusl (bath) after Fajr.
5. Brush your teeth.
6. Dress up, putting on best clothes available, whether new or cleaned old ones.
6. Use perfume.
7. Have breakfast on Eid-al-Fitr before leaving for prayer ground. On Eid-al-Adha, eat breakfast after Salaat or after sacrifice if you are doing a sacrifice.
8. Pay Zakaat-al-Fitr before Salaat-al-Eid (on Eid-al-Fitr).
9. Go to prayer ground early.
10. Offer Salaat-al-Eid in congregation in an open place except when whether is not permitting like rain, snow, etc.
11. Use two separate routes to and from the prayer ground.
12. Recite the following Takbir on the way to Salaat and until the beginning of Salaat-al-Eid. On Eid-al-Adha, Takbir starts from Mughrib on the 9th Zdilhijjah and last until the Asr on the 12th Zdilhijjah: Allaho-Akber, Allaho-Akber. La ila-ha ill-lal-lah. Allaho-Akber, Allaho-Akber. Wa-lilahill hamd. (Allah is greater. Allah is greater. There is no god but Allah. Allah is greater. Allah is greater. And all praises are for Allah).
INTERESTING FACTS
INTERESTING FACTS
People Facts: People that are allergic to cats will be able to pet them without sneezing and scratching. Genetically engineered cats will be produced to help people with allergies enjoy their sneeze-free kitties Allerca, Inc., a biotechnology firm in San Diego, California, says it has bred Hypoallergenic Cats and is now taking orders from customers in the United States.
Technology Facts: The East Japan Railway Company (JR-East), as part of research aimed at developing more environmentally friendly train stations, is testing an experimental system that produces electricity as people pass through ticket gates.
World Facts: It is common mistake to say that The Great wall of China is visible from outer space. It is too thin to be noticed from such a great distance. There are no man made structures that are visible from space or moon. Man made objects start to disappear after 300 miles up. From that distance you can barely see the outline of the Great China Wall. If we consider that distance from Earth to Moon is around 384,403 kilometers/238,857 miles then we can draw reasonable conclusion that it would be impossible...
Internet Facts: Yahoo the complex internet organism has complicated name. Word "Yahoo" is shortcut for "Yet Another Hierarchical Officious Oracle". It was coined by PhD candidates at Stanford University: David Filo and Jerry Yang.
Science Facts: Closest spiral galaxy to our Milky Way galaxy is Andromeda and even traveling at the speed of light it would take 2 million years to reach it. Andromeda Galaxy, Milky Way, the Triangulum Galaxy, and about 30 smaller galaxies belong to a group called Local Group. There are 100 billion galaxies that we can observe. Prediction is that there is much more, but Hubble Space Telescope couldn't detect them. The Andromeda Galaxy and the Milky Way is predicted to merge within the next 5 billion years.
Politics Facts: We actually had to modify this fact due to recent changes in the billionaire world. Thirteen years our buddy Bill Gates from Winblows was the richest man in the world. However, as of 2008 the top five richest people are: 1. Warren Buffett (Stocks and investments), 2.Carlos Slim Helu (Mexican telecom mogul), 3. William Gates III (Windows and more), 4. Lakshmi Mittal (World's largest steelmaker - India), 5. Mukesh Ambani (Petrochemicals giant Reliance Industries - India).
Sport Facts: In ancient Japan, public contests were held to see who in a town could fart the loudest and longest. Winners were awarded many prizes and received great recognition.
People Facts: People that are allergic to cats will be able to pet them without sneezing and scratching. Genetically engineered cats will be produced to help people with allergies enjoy their sneeze-free kitties Allerca, Inc., a biotechnology firm in San Diego, California, says it has bred Hypoallergenic Cats and is now taking orders from customers in the United States.
Technology Facts: The East Japan Railway Company (JR-East), as part of research aimed at developing more environmentally friendly train stations, is testing an experimental system that produces electricity as people pass through ticket gates.
World Facts: It is common mistake to say that The Great wall of China is visible from outer space. It is too thin to be noticed from such a great distance. There are no man made structures that are visible from space or moon. Man made objects start to disappear after 300 miles up. From that distance you can barely see the outline of the Great China Wall. If we consider that distance from Earth to Moon is around 384,403 kilometers/238,857 miles then we can draw reasonable conclusion that it would be impossible...
Internet Facts: Yahoo the complex internet organism has complicated name. Word "Yahoo" is shortcut for "Yet Another Hierarchical Officious Oracle". It was coined by PhD candidates at Stanford University: David Filo and Jerry Yang.
Science Facts: Closest spiral galaxy to our Milky Way galaxy is Andromeda and even traveling at the speed of light it would take 2 million years to reach it. Andromeda Galaxy, Milky Way, the Triangulum Galaxy, and about 30 smaller galaxies belong to a group called Local Group. There are 100 billion galaxies that we can observe. Prediction is that there is much more, but Hubble Space Telescope couldn't detect them. The Andromeda Galaxy and the Milky Way is predicted to merge within the next 5 billion years.
Politics Facts: We actually had to modify this fact due to recent changes in the billionaire world. Thirteen years our buddy Bill Gates from Winblows was the richest man in the world. However, as of 2008 the top five richest people are: 1. Warren Buffett (Stocks and investments), 2.Carlos Slim Helu (Mexican telecom mogul), 3. William Gates III (Windows and more), 4. Lakshmi Mittal (World's largest steelmaker - India), 5. Mukesh Ambani (Petrochemicals giant Reliance Industries - India).
Sport Facts: In ancient Japan, public contests were held to see who in a town could fart the loudest and longest. Winners were awarded many prizes and received great recognition.
Tuesday 7 September 2010
Monday 6 September 2010
Maths Test Achievers
7-R
Nida
Abdullah Sami
Osama Masood
Sibtain
Mehdi
Hassan
Shehryar
Hasin
Fahd
7-P
Subeeka
Aown
Zaeem
Fardan
Wassam
Ashish
Saad
Uzair
Mahlaka
Areesh
7-S
Arib
Nameer
Shahzaib
Aashir
WAfa
Arsala
Nida
Abdullah Sami
Osama Masood
Sibtain
Mehdi
Hassan
Shehryar
Hasin
Fahd
7-P
Subeeka
Aown
Zaeem
Fardan
Wassam
Ashish
Saad
Uzair
Mahlaka
Areesh
7-S
Arib
Nameer
Shahzaib
Aashir
WAfa
Arsala
Thursday 2 September 2010
Surprising Number Patterns I
There are times when the charm of mathematics lies in the surprising
nature of its number system. There are not many words needed to demonstrate
this charm. It is obvious from the patterns attained. Look, enjoy, and
spread these amazing properties .
nature of its number system. There are not many words needed to demonstrate
this charm. It is obvious from the patterns attained. Look, enjoy, and
spread these amazing properties .
1 X 8 = 8
11 X 88 = 968
111 X 888 = 98568
1111 X 8888 = 9874568
11111 X 88888 = 987634568
111111 X 888888 = 98765234568
1111111 X 8888888 = 9876541234568
11111111 X 88888888 = 987654301234568
111111111 X 888888888 = 98765431901234568
1111111111 X 8888888888 = 987654321791234568
How to solve Word Problems
How to Solve Word Problems
Step 1 - Read the problem three times. Read the problem quickly the first time as a scanning procedure. As you are reading the problem the second time, answer these three questions:
What is the problem asking me? (Usually at the end of the problem)
What is the problem telling me that is useful? (Cross out unneeded information).
What is the problem implying? (Usually something you have been told to remember). Read the problem a third time to check that you fully understand its meaning.
Step 2 - Draw a simple picture of the problem to make it more real to you (e.g., a circle with an arrow can represent travel in any form - by train, by boat, by plane, by car, or by foot).
Step 3 - Make a table of information and leave a blank space for information you are not told.
Step 4 - Use as few unknowns in your table as possible. If you represent all the unknown information in terms of a single letter do so! When using more than one unknown, use a letter that reminds you of that unknown. Then write down what your unknown represents. This eliminates the problem of assigning right answer to the wrong unknown. Remember, you have to create as many separate equations as you have unknowns.
Step 5 - Translate the English terms into an algebraic equation using the list of terms in (Translating English Terms into Algebraic Symbols), and (Translating English Words into Algebraic Expressions). Remember the English terms are sometimes stated in a different order than the algebraic terms.
Step 6 - Immediately retranslate the equation, as you now have it, back into English. The translation will not sound like a normal English phrase, but the meaning should be the same as the original problem. If the meaning is not the same, the equation is incorrect and needs to be rewritten. Rewrite the equation until it means the same as the English phrase.
Step 7 - Review the equation to see fit is similar to equations from your homework and if it makes sense. Some formulas dealing with specific word problems may need to be rewritten. Distance problems, for example, may need to be written solving for each of the other variables in the formula. Distance = Rate x Time; therefore, Time = Distance/Rate, and Rate = Distance/Time. Usually, a distance problem will identify the specific variable to be solved.
Step 8 - Solve the equation using the rules of algebra
Remember: Whatever is done to one side of the equation must be done to the other side of the
equation. The unknown must end up on one side of the equation, by itself. If you have more than one unknown, then use the substitution or elimination method to solve the equations.
Step 9 - Look at your answer to see if it makes common sense.
Example: If tax was added to an item, it should cost more or if a discount was applied to an item it should cost less. Is there more than one answer? Does your answer match the original question? Does your answer, have; the correct units?
Step 10 - Put your answer back into the original equation to see if it is correct If one side of the equation equals the other side of the equation, then you have the correct answer. If you do not have the correct answer, go back to Step 5.
Translating English Terms into Algebraic Symbols
Sum +
Add +
In addition +
More than +
Increased +
In excess +
Greater +
Decreased by -
Less than -
Subtract -
Difference -
Diminished Reduce -
Remainder -
Times as much x
Percent of x
Product x
Interest on x
Per /
Divide /
Quotient /
Quantity ( )
Is =
Was =
Equal =
Will be =
Results =
Greater than >
Less than <
Translating English Words into Algebraic Expressions
Ten more than x x + 10
A number added to 5 5 + x
A number increased by 13 x + 13
5 less than 10 10 - 5
A number decreased by 7 x - 7
Difference between x and 3 x - 3
Difference between 3 and x 3 - x
Twice a number 2x
Ten percent of x 0.10x
Ten times x 10x
Quotient of x and 3 x/3
Quotient of 3 and x 3/x
Five is three more than a number 5 = x + 3
The product of 2 times a number is 10 2x = 10
One half a number is 10 x/2 = 10
Five times the sum of x and 2 5(x + 2)
Seven is greater than x 7 > x
Five times the difference of a number and 4 5(x - 4)
Ten subtracted from 10 times a number is
that number plus 5 10x - 10 = x + 5
The sum of 5x and 10 is equal to the product of x and 15 5x + 10 = 15x
The sum of two consecutive integers (x) + (x + 1)
The sum of two consecutive even integers (x) + (x + 2)
The sum of two consecutive odd integers (x) + (x + 2)
Reference:
Paul D. Nolting, Ph.D., Winning at Math, 1997. 1989 by Academic Success Press, Inc.