Combinatorics
21. 15 students join a competition. Only top 5 students can be promoted to next round. How many different way(s) of promotion advance is / are there?
Different way: Cách khác nhau.
22. It is known that there are 8 classes of grade 5 in a primary school. At least how many students are there in grade 5 to ensure there exist 41 students in the same class?
At least: Ít nhất; Ensure: Chắc chắn; Exist: Tồn tại.
23. Choose 3 digits from 1, 2, 3, 4, 6, 8 and 0 to form 3-digit numbers. How many even number(s) greater than 300 is / are there? (The repetition of digits is not allowed)
Digit: Chữ số; 3-digit number: Số có 3 chữ số; Even number: Số chẵn; Greater than: Lớn hơn; Repetition of digits is not allowed: Các chữ số không được lặp lại.
24. A flight of stairs has 10 steps. Peter can go up for 1 step, 2 steps or 3 steps each time. How many way(s) is / are there for Peter to go up the stairs?
Step: Bước; Way: Cách.
25. Numbers are drawn from 80 integers 20 to 99. At least how many number(s) is / are drawn at random to ensure that there are two numbers whose sum is 85?
Integer: Số nguyên; At least: Ít nhất; Random: Ngẫu nhiên; Ensure: Chắc chắn; Sum: Tổng.
~ End of Paper ~
  

Combinatorics
21. 15 students join a competition. Only top 5 students can be promoted to next round. How many different way(s) of promotion advance is / are there?
Different way: Cách khác nhau.

22. It is known that there are 8 classes of grade 5 in a primary school. At least how many students are there in grade 5 to ensure there exist 41 students in the same class?
At least: Ít nhất; Ensure: Chắc chắn; Exist: Tồn tại.

23. Choose 3 digits from 1, 2, 3, 4, 6, 8 and 0 to form 3-digit numbers. How many even number(s) greater than 300 is / are there? (The repetition of digits is not allowed)
Digit: Chữ số; 3-digit number: Số có 3 chữ số; Even number: Số chẵn; Greater than: Lớn hơn; Repetition of digits is not allowed: Các chữ số không được lặp lại.

24. A flight of stairs has 10 steps. Peter can go up for 1 step, 2 steps or 3 steps each time. How many way(s) is / are there for Peter to go up the stairs?
Step: Bước; Way: Cách.

25. Numbers are drawn from 80 integers 20 to 99. At least how many number(s) is / are drawn at random to ensure that there are two numbers whose sum is 85?
Integer: Số nguyên; At least: Ít nhất; Random: Ngẫu nhiên; Ensure: Chắc chắn; Sum: Tổng.
~ End of Paper ~

Read the passage, and choose the correct answer A, B, C or D for each question.

Career Preparation

Although you may think you are too young to worry about your future career, it is important that you start thinking about your life after high school right now so that you can take the steps necessary to any career you may choose. Some of these steps include choosing the right high school, enrolling in the necessary courses, earning good grades, getting work experience and building a resume. It can seem overwhelming trying to choose a career before you complete high school, but always keep in mind that it is never too late to change your career path and no one says you have to decide now.

There are lots of different factors that go into choosing a career path. To determine the occupation you want to enter, you need to consider your interests, how long you want to be in school, how much money you want to make, the type of work you want to do, the potential for job growth and job trends in the industry - sounds like a lot, but that is just the tip of the iceberg.

Each day you make many decisions - what to wear, who to hang out with, how to spend your time after school. Some of the decisions you make today can affect you for the rest of your life. Once you have figured out the things you like to do and the things you do well, you can begin exploring careers that include your interests and skills. Make a plan from the beginning, and once you have a plan, work the plan. Do the steps along the way each year to keep on track toward graduation and higher education.

You may consider a future career now because …………..

A. you have to decide it immediately

B. it is necessary to have preparations

C. you can change your career path

D. you have nothing to worry about

VII. Complete the conversation. What does Sarah say to Alice? 
Alice: Hi Sarah, are you going to Grace’s party tomorrow? Sarah: (1) .......................................................... Alice: Oh, come on! It’ll be fun.  Sarah: (2) .......................................................... Alice: I’m driving, and there’s still space in my car.  Sarah: (3) .......................................................... Alice: I’ve bought one- we can say it’s from both of us.  Sarah: (4) .......................................................... Alice: Great- I’ll write my name on it. Shall I pick you up at 7 o’clock? Sarah: (5) .......................................................... Alice: Of course! By the way, I can’t stay too late at the party.  Sarah: (6) .......................................................... Alice: Me too! 
A. No problem- I have to work the next day anyway.  B. That’s fine. You know the way to my house, don’t you? C. How many people are going to be there? D. Oh, Ok then. How are you getting there? E. Great, I’ll go with you, then. What about a present? F. It’s quite an expensive one.  G. Thanks. I’ll give you some money for that, and I’ll get a card.  H. I haven’t decided yet.  

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks.

Unfortunately, diets don‘t work for most people. They do lose weight but then go off the diet and put it back. Building a sensible diet and exercise plan is the key (1)_____ maintaining a consistent weight. You need to figure out how many calories you need in a day and how many you actually (2)______. The next step is to add exercise (3)_____ you can raise the number of calories you can consume per day.

Burning 250 or 500 calories per day can make a big (4)_____ . You can ride an exercise bike while you are watching television (5)______ you can take the stairs instead of the elevator. Find an exercise partner. Exercises can be a lot easier if there is someone to talk to. It‘s a good idea to wear firm-fitting clothes if you are on a diet. Tight clothing acts as a reminder of what you are trying to accomplish.

Question 3. 

A. as a result

B. so as to

C. so that

D. in as much as

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks.

Unfortunately, diets don‘t work for most people. They do lose weight but then go off the diet and put it back. Building a sensible diet and exercise plan is the key (1)_____ maintaining a consistent weight. You need to figure out how many calories you need in a day and how many you actually (2)______. The next step is to add exercise (3)_____ you can raise the number of calories you can consume per day.

Burning 250 or 500 calories per day can make a big (4)_____ . You can ride an exercise bike while you are watching television (5)______ you can take the stairs instead of the elevator. Find an exercise partner. Exercises can be a lot easier if there is someone to talk to. It‘s a good idea to wear firm-fitting clothes if you are on a diet. Tight clothing acts as a reminder of what you are trying to accomplish.

Question 1. 

A. for

B. with

C. at

D. to

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks.

Unfortunately, diets don‘t work for most people. They do lose weight but then go off the diet and put it back. Building a sensible diet and exercise plan is the key (1)_____ maintaining a consistent weight. You need to figure out how many calories you need in a day and how many you actually (2)______. The next step is to add exercise (3)_____ you can raise the number of calories you can consume per day.

Burning 250 or 500 calories per day can make a big (4)_____ . You can ride an exercise bike while you are watching television (5)______ you can take the stairs instead of the elevator. Find an exercise partner. Exercises can be a lot easier if there is someone to talk to. It‘s a good idea to wear firm-fitting clothes if you are on a diet. Tight clothing acts as a reminder of what you are trying to accomplish.

Question 4 

A. sense

B. mistake

C. impression

D. difference

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks.

Unfortunately, diets don‘t work for most people. They do lose weight but then go off the diet and put it back. Building a sensible diet and exercise plan is the key (1)_____ maintaining a consistent weight. You need to figure out how many calories you need in a day and how many you actually (2)______. The next step is to add exercise (3)_____ you can raise the number of calories you can consume per day.

Burning 250 or 500 calories per day can make a big (4)_____ . You can ride an exercise bike while you are watching television (5)______ you can take the stairs instead of the elevator. Find an exercise partner. Exercises can be a lot easier if there is someone to talk to. It‘s a good idea to wear firm-fitting clothes if you are on a diet. Tight clothing acts as a reminder of what you are trying to accomplish.

Question 2 

A. take off

B. take in

C. take up

D. take away