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 ~

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

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. 

Điền vào số 3

A. as a result

B. so as to

C. so that

D. in as much as

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. 

Điền vào số 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