حسین ساعدی                Hossein Saedi
English Classroom                
نمونه سوال میان ترم کتاب دوم   ( 3 + 2 + 1)

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نمونه سوال میان ترم کتاب دوم   ( 3 + 2 + 1)

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موضوعات: Book 2


نويسنده :حسین ساعدی Hossein Saedi
تاريخ: چهارشنبه سیزدهم دی ۱۳۹۱ ساعت: 9:46 PM

(1) How to Read Numbers



(1)How to Read Numbers

Ftom: http://www.themathpage.com



Here are their names and numerals.

The Powers of 10

Class of   One1
Ones   Ten10

   One hundred100
 
Class of   One thousand1,000
Thousands   Ten thousand10,000
    One hundred thousand100,000
 
Class of   One million1,000,000
Millions   Ten million10,000,000
    One hundred million100,000,000
 
Class of   One billion1,000,000,000
Billions   Ten billion10,000,000,000
    One hundred billion100,000,000,000

Each power is composed of ten of the one above.

(The metric system is the system of measurement based on the powers of 10; see Lesson 4.)

Strictly, 1 is not a power of 10.  The first power of 10 is 10 itself.  Its numeral is a 1 followed by one 0.  The second power of 10 is 100; it has two 0's.  The third power has three 0's.  And so on.

Notice how the names fall into groups of three:

One thousand, Ten thousand, Hundred thousand.

One million, Ten million, Hundred million.

Each group of three -- OnesTensHundreds -- is called a class.

Starting with Billions (bi for two), each class has a Latin prefix.  To read a number more easily, we separate each class -- each group of three digits -- by commas.

In Lesson 1 we showed how to read and write any number from 1 to 999, which are the numbers in the class of Ones.  Together with knowing the sequence of class names, that is all that is necessary to be able to read any whole number.

 
 4.  How do we read a whole number, however large?
 
256,312,785,649,408,163
 
 Starting from the left, read each three-digit group; then say the name of its class.
 

Example 1.   Read this number:

256,312,785,649,408,163

Answer.  Starting from the left, 256, read each three-digit group.  Then say the name of the class.

The class illustrated

Say:

"256 Quadrillion, 312 Trillion, 785 Billion, 649 Million, 408 Thousand, 163."

Do not say the class name "Ones."

Example 2.   To distinguish the classes, place commas in this number:

8792456

Answer.  Starting from the right, place commas every three digits:

8,792,456

Read the number:

"8 million, 792 thousand, 456."

Example 3.   Read this number:  7,000,020,002

Answer.  "Seven billion , twenty thousand, two."

When a class is absent, we do not say its name; we do not say, "Seven billion, no million, ..."

Also, every class has three digits and so we must distinguish the following:

002   "Two"
020   "Twenty"
200   "Two hundred"

As for "and," in speech it is common to say "Six hundred and nine," but in writing we should reserve "and" for the decimal point, as we will see in the next Lesson.  (For example, we should write  $609.50  as "Six hundred nine dollars and fifty cents."  Not "Six hundred and nine dollars.")

Example 4.   Write in numerals:

Four hundred eight million, twenty-nine thousand, three hundred fifty-six.

Answer. Pick out the classes:   "million",  "thousand".  Each class (except perhaps the first class on the left) has exactly three digits:

Example 5.   Write in numerals:

Five billion, sixteen thousand, nine.

Answer.  After the billions, we expect the millions, but it is absent.  Therefore write

5,000,016,009

Again, we must write "sixteen thousand" as 016; and "nine" as 009; because each class must have three digits.  The exception is the class on the extreme left.  We may write "Five" as 5 rather than 005.

When writing a four-digit number, such as Four thousand five hundred, it is permissible to omit the comma and write 4500. In fact, we often read that as "Forty-five hundred." But when a number has more than four digits, then for the sake of clarity we should always place the commas.

Example 6.  Distinguish the following:

a)  Two hundred seventeen million   b)  Two hundred million seventeen
 
Answers.
a)  217,000,000b)  200,000,017


 5.  To which place does each digit belong? Equivalently, what is the unit at each position?
 
 
 Starting with the Ones on the right, each place belongs to the next power of 10.
 

Example 1.   In this number,

139,072,658

the 0 is in which place?

Answer.   Hundred thousands.

For, in each class of three digits, there are OnesTens, and Hundreds.

0 is in the class of thousands and in the Hundreds place.  The power of 10 at that position is Hundred thousands.

Example 2.   In this number,

386,214,035

how many Ten millions are there?  That is, which digit is in the ten millions place?

Answer.   8.  For, on counting from the right, the millions are the third group of three digits, 386.  The Tens place is the middle one (Ones, Tens, Hundreds). There are 8 Ten millions.

Place value versus absolute value of a digit

In addition to speaking of a digit being "in" a place, we also speak of the place value of the digit itself.  In this number,

6,666

each digit has the same absolute or invariable value 6, but a different place value.  6 on the extreme left has the place value 6000; the next 6 has the value 600; the next, 60; and the last, 6.

Expanded form

The numeral for every whole number stands for a sum.

364 = 3 Hundreds + 6 Tens + 4 Ones.

(Even a single digit stand for a sum:  5 = 1 + 1 + 1 + 1 + 1.)

What is written above is called the expanded form of 364.

 
 6.  What does it mean to write a number in expanded form?
 
 It means to write the sum that the number indicates, and therefore to name the unit at each digit's place.
 

Example 3.   Write 6,325 in expanded form.

Answer.  Write

6,325 = 6 Thousands + 3 Hundreds + 2 Tens + 5 Ones.

In practice, however, it is often more useful to expand the number in this way:

6,325 = 6,000 + 300 + 20 + 5.

Example 4.   Write the expanded form of 10,000.

Answer.  10,000 = 1 Ten-thousand + 0 Thousands + 0 Hundreds + 0 Tens + 0 Ones.

 
  Example 5. 42 =40 + 2
 
  -- no matter what the unit.
 
 42 eggs = 40 eggs + 2 eggs
 
 42 tens = 40 tens + 2 tens
 
 42 hundreds = 40 hundreds + 2 hundreds

And so on.  For there is no "42" apart from 42 units, even though we do not say the word units.

Units of adjacent place value

The following question is to prepare for the standard written methods ofaddition and subtraction.  The answer follows from the fact that each digit

6,325

has a place value ten times the digit to its right.

For, each power of 10 is ten times the one to its right:

1000  100  10  1

1000 is made up of ten 100's.

100 is made up of ten 10's.

10 is made up of ten 1's.

And so on.

 
 7.  What is the relationship between units of adjacent place value?
1000  100  10  1
 Ten units of lower place value can be composed -- gathered together -- to make one unit of the next higher value.
 
 Equivalently: One unit of higher place value can bedecomposed -- broken up -- into ten units of the next lower value.
 

10 ones = 1 ten.

Ten 1's can be composed into one 10.

Ten 10's can be composed into one 100.

Ten 100's can be composed into one 1000.

And so on.

Conversely:

1000  100  10  1

One 1000 can be decomposed into ten 100's.

One 100 can be decomposed into ten 10's.

One 10 can be decomposed into ten 1's.

1000  100  10  1

We will see this when we come to regrouping in addition and subtraction.

Rounding off

 8.  How do we round off, or approximate, a whole number to a given place?
 
12671300
 
 Look at the digit to the right of the given place: hundreds for example (2). If the digit to the right is a 5 or greater, add 1 to the given place. If it is less than 5, leave the given place unchanged. In either case, replace all the digits to the right of the given place with 0's.
 

Example 6.   Round off  6,528  to the nearest ten.

Answer.  6,5286,530

(The wavy equal signmeans "is approximately equal to.")

2 is in the tens place.  To round off to the nearest ten, look at the digit to the right:  8 (greater than 5).  Therefore, add 1 to the tens place.  Replace 8 with 0.

Example 7.   Round off  6,528  to the nearest hundred.

Answer.  6,5286,500

5 is in the hundreds place.  To round off to the nearest hundred, look at the digit to the right:  2 (less than 5).  Therefore, leave the hundreds place unchanged.  Replace 28 with 00.

Example 8.   Round off  6,528  to the nearest thousand.

Answer.  6,5287,000

6 is in the thousands place.  To round off to the nearest thousand, look at the digit to the right:  5.  Therefore, add 1 to the thousands place.  Replace 528 with 000.

Example 9.   Round off  79,521  to the nearest thousand.

Answer.  79,52180,000

9 is in the thousands place.  To round off to the nearest thousand, look at the digit to the right:  5.  Therefore, add 1 to 79 -- it becomes 80.  Replace 521 with 000.


9.  How do we multiply a whole number by a power
of 10?
28 × 10
 
 Add on as many 0's as appear in the power.
 


  Example 1.   28 × 10 = 280   Add on one 0.
 
 28 × 100 = 2800   Add on two 0's.
 
 28 × 1000 = 28,000   Add on three 0's.

We can do that because of our system of positional numeration.


The unit at each place

Look at 28 in the figure, and let us push each digit one place left, so that it becomes 280.  280 is then ten times 28, because each digit's place value is now ten times more.  (In 28, the '2' tells how many tens, but in280 it tells how many hundreds.)

Similarly, 2800 = 100 × 28.


Example 2.   608 is 608 ones.  How much are 608 tens?  608 hundreds? 608 thousands?

Answers.  "608 tens" is 608 × 10.  That is the meaning of multiplication (Lesson 9).  608 tens therefore are 6,080.  Simply add on a 0.

608 hundreds = 608 × 100 = 60,800.  Add on two 0's.

608 thousands = 608 × 1000 = 608,000.  Add on three 0's.


Example 3.

a)  50 ones are equal to how many tens?

Answer.  50 ones are simply 50, or 5 tens.

b)   50 tens are how many hundreds?

Answer.  50 tens = 500. (Add on a 0.)  50 tens are 5 hundreds.

c)  50 hundreds are how many thousands?

Answer.  50 hundreds = 5000. (Add on two 0's.)  50 hundreds are5 thousands.

d)  5000 is how many tens?

Answer.  5000 = 500 × 10.  5000 is 500 tens.

 10.  When a whole number ends in 0's, how do we divide it by a power of 10?
 
42,000 ÷ 10
 
 Take off as many 0's as appear in the power.
 

  Examples.   42,000 ÷ 10=4,200  Take off one 0.
 
 42,000 ÷ 100=420  Take off two 0's.
 
 42,000 ÷ 1000=42  Take off three 0's.

Problem.  Reduce this fraction to its lowest terms:

300
500

Answer.   To reduce a fraction, we must divide both the numerator and denominator by the same number.  Now, if a number ends in 0, then we know that it is divisible by 10; while if a number ends in two 0's, we know that it is divisible by 100.

Both 300 and 500 then are divisible by 100:

300
500
 = 3
5


برچسب ها: 1, How to Read Numbers

نويسنده :حسین ساعدی Hossein Saedi
تاريخ: سه شنبه چهاردهم آذر ۱۳۹۱ ساعت: 10:8 PM

Pre-U (1+2)


Saédi H                                       Group A
Pre-U (1+2)
                                                                     
I. Choose the best selection.

01.Food that has a lot of ……….. in it can make you fat.
1.support               
2.calories                   
3.fuel              
4.shapes
 
02.Your ……….. beats faster when you exercise.
1.heart                   
2.joint                        
3.blood              
4.vessel

03.When you eat food, your body uses some of the ……… in the food as fuel.
1.nutrients            
2.muscles                  
3.vessels           
4.blood

04.I ……… the idea to him and he seemed to like it.
 1.caused               
2.mentioned             
3.created           
4.organised

05.Nowdays we ……… on computers in our daily life.
1.depend               
2.point                      
3.observe          
4.protect

06.Regular exercise ……. your chance  of living longer.
1.decreases         
2.increases                 
3.lowers           
4.includes

07.To keep …….. be careful of not eating too much.
1.healthy              
2.exercise                   
3.in shape        
4.memory

08.In order to be accepted in the university you should use your time more ……… .
1.commonly         
2.previously               
3.informally    
4.efficiently

09.I …….. my arm to take the book from the bookshelf.
 1.pushed             
2.bent                          
3.streched      
4.puklled

10.the government should ……….. enough jobs for unemployed.
1.release              
2.create                      
 3.define          
4.complete

11.Don’t ask ………. questions, you are bothering me.
1.effective           
2.repetitive                 
3.attractive     
4.expensive

12.too much …. on meat will be harmful for your health.
1.fat                     
2.oil                             
3.fuel               
4.energy

13.These teaching materials can be ……. for older children.          
1.protected       
2.encouraged             
3.predicted      
4.adapted      
 
14.In ………. to other recent video games, this one isn't very exciting.
1.description       
2.experiment             
3.comparison   
4.population

15.The World Bank will only agree to make this loan if certain ………. are met.
1.observations    
2.reactions                 
3.practices       
4.conditions 
   
16.When doing sit-ups, keep your hands crossed on your……. , rather than behind your neck.
1.lung                  
2.chest                        
3.liver                
4.arm 
               
17.The door was locked and we couldn't ……… the house.
1.get rid of         
 2.get into                   
3.get out            
4.get away   
   
18.I think we need to take a fresh look at the problem. The underlined
word means ……. .
1.previous            
2.friendly                   
3.new                 
4.dense              
19.One way to learn the poem is to say it to yourself ………… again.
1.meaninglessly  
2.over and above     
3.purposelessly 
4.over and over

20.In a(n) …………. , the BBC admitted that it had given incorrect information.
1.acceptance         
2.allowance              
3.statement       
4.entrance
**********************
21.Some people change their eating habits ………… they get older.
1.when                   
2.whether                 
 3.so                   
4.since

22. can you study ………….. your friends are talking?
1.when                   
2.because                    
3.whether        
4.since

23.We had to leave there just ………. the conversation was getting interesting.
1.since                    
2.whether                    
3.until             
 4.as

24.We have to write in French …….. they don’t understand Persian or English.
1.whether              
2.when                        
3since              
4.while

25. Joe is a clever boy but he is not so successful ……..  his sister.
1.than                     
2.as                             
3.for                 
4.of

26.Mary and I have known each other ……….. we were at school.
1.when                    
2.whether                  
3.since             
4.as

27. …………… you are tall or   short, you can play this sport.
1.Since                    
2.As                             
3.When          
4.Whether

28.I began to enjoy the job more ……… I got used to eat .
1.as                         
2.so                              
3.whether    
4.although

29.You have to brush your teeth ………… you are young or old.
1..since                  
2.whether                     
3.when        
 4.as

30.his parents died in an accident …………. he was a little boy.
1.as                        
2.when
3.since          
4.whether
 
31.I get more experienced ………. I get older.
1.since                   
2.whether                     
3.when         
4.as

32.Jack hurt his back ...……… he was running for a bus.
1.when                  
 2.whether                      
3.since        
4.whether

33.Mr Brown couldn’t sell his house …………..  the prices were falling.
1.since                   
2.when                          
 3.thus         
4.unless

34.We are getting more pleased ………her health is gradually improving.
1.as                       
 2.when                           
3.whether   
4.so

35.The child hurt his thumb ………….  he was playing with a hammer.
1..since                 
2.when                            
3.whether   
4.although

36.Leave the keys at the front desk ……………. you leave.
1.since                 
2.whether                         
3.as              
4.so
**********************
            Start with walking.If you are overweight and if you have risk factors for heart disease - high  ....37.... pressure, high cholesterol, or family history of heart disease - get your doctor's OK before starting an exercise program, Thompson says.Talk to a doctor first.  Set short-term goals - 10 minutes, 15 minutes, etc. Gradually ..... 38.... the number of days. Walking a dog is great because it gets you out for 20 minutes in the morning, and then 20 more at night. "If I can get someone up to 45 minutes or an hour of exercise during the day, I consider that a major success," Thompson notes. "You can't ask anyone to ....39..... start exercising for 90 minutes. You have to start with lifestyle changes and increase from there." Buy or rent traning tapes or DVDs. If you prefer a quiet start to the day, try tapes and DVDs that feature yoga, and ....40..... training programs. Be sure to check who created them.
37.         
1.vessel               
2.lung                 
3.bone                 
4.blood

38.         
1.decrease          
2.increase           
3.reduce              
4.lesson

39.         
1.immediately    
2.generally         
3.purposelessly  
4.informally

40.          
1.nutrient          
2.endorphin        
3.aerobic             
4.nervous

41.Good eye contact helps your audience ----- more relaxed.               
1. feel             
2. feeling           
3. feels                  
4. felt
**********************
42.The teacher made all the students ----- a lecture during the term.
 1. to give        
2. gives              
3. give                  
4. giving

43.By ----- number 110 , the police help you.
1. call              
2. calling            
3. to call                
4. calls

44.My brother forced  me ----- my homework.
1. doing
2. to do             
3. does            
 4. did

45.The bed was so ----- that I didn't like to get up.
 1. wonderful  
2. reliable         
3. probable           
4. comfortable

46.I was too tired. That is why I stopped -----.
1. relaxing     
2. to relax          
3. relax                 
4. relaxed

47.How did Mary ----- when she heard about the accident?
 1. force            
2. react             
3. mention            
4. affect

48.Face to face words can have a stronger ----- than the message.
1. effect           
2. gesture          
3. respect             
4. future

49.She can't ----- on her lessons with all that noise.
1. control        
 2. concentrate  
3. understand      
4. disturb

50.Most of the young people have a ----- opinion about future.
1. positive       
 2. lazy               
3. facial                
4. comfortable

51.Don't ----- against the chair while you are talking to your teacher.
 1. leave            
 2. stay              
 3. lean                  
4. cycle

52.The ----- on Mary's face showed that she was very excited.
1. reaction         
2. decision        
3. attention          
4. expression

53.Mrs Ahmadi is quite ----- because she has lost her job.
 1. facial              
2. nervous        
3. positive             
4. negative

54.Having eye ----- with the audience makes your speech more effective.
1. contact          
2. confidence    
3. capacity            
4. communication

55.The doctor asked Reza to breathe deeply so that he could ------ his lungs.
 1. affect             
2. accept            
3. choose               
4. check

56.Nowadays ----- with each other is easier and faster than the past.
1. observation   
2. concentration 
3. communication
4. presentation

57.Mr Moosavi seemed very angry and spoke in an impolite -----.
1. tap     
2. term                
3. tool                    
 4. tone

58.Take a short look at yourself in the ----- before leaving the house.
 1. movement     
2. mine                
3. mirror                 
4. mood

59.Most of the people have a fear to speak in -----.
1. state               
2. stance             
3. posture              
4. public

60.People always ----- Mr Brown because he's a very honest person.
1. disturb          
2. respect             
3. involve               
4. raise
**********************
          A father noticed that his son was spending too much time playing computer games. In an effort to motivate the boy into focusing attention on his schoolwork, he said to his son, “When Abe Lincoln was your age, he was studying books by the light of the fire place.” The son replied, “When Lincoln was your age, he was the president of the United States.”
61.According to the story you have just read the father is …… .
1.worried about his son
2.a little bit stupid
3careless man                                                  
4.collecting votes for the president of USA

62.In the story above the word  “he” in line 2 refers to …… .
1.the son’s father                                             
2.the son
3.Lincoln                                                          
4.the president

63.In the passage the boy is …… .                                                                         
1.Lincoln’s son                                                 
2.Lincoln’s friend    
3.interested in studying
4.careless about his lessons   
       
64.According to the passage Lincoln …… .
1.had a hard time when he was a little boy      
2.did his homework in a room with no light
3.had an easy time when he was a little boy    
4.did his studies in a room with a lot of light

65.The father thinks Abe Lincoln as …… .
1.a good example that should be followed by       
2.a bad example that shouldn’t be followed by
3.a bad president who couldn’t help his country  
4.a selfish president who could be forgotten

            The first few times a person smokes, the smoker usually feels terrible. In a few day the smoker’s body gets used to the medicine and the smoker feels fine. Later, the smoker needs nicotine o feel fine, without it, the smoker feels terrible. The smoker is addicted.
32.Smoking in the first few times …… .
1.is a good experience for a new smoker              
2.gives a very bad feeling to the new smoker
3.is always a nice feeling for a new smoker        
4.makes a new smoker feel peace

66.The word it in line 3 refers to ……. .
1.the smoker                                                       
2.nicotine
3.smoking                                                           
4.a person

67.If  smoking gives a good feeling to a person who always smokes …… .
1.he will not be a poor person                           
2.he can’t be addicted to nicotine
3.he will be a poor person                                
4.he must be addicted to nicotine














موضوعات: Entrance Exam 25

برچسب ها: Pre, U, 1, 2

نويسنده :حسین ساعدی Hossein Saedi
تاريخ: یکشنبه سوم اردیبهشت ۱۳۹۱ ساعت: 10:42 PM