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 ~

I get a lot of letters at this time of year from many people who have a cold which won’t go away. There are many different stories about how to prevent or cure a cold. That’s why it is often difficult to know what to do. We know that colds are rarely "dangerous", except for weak people such as the elderly or young babies. These people are always uncomfortable and usually most unpleasant. Of course, you can buy a lot of medicines. They will help to make your cold less unpleasant. However, you must remember that nothing can actually cure a cold or make it go away faster. Any strong medicine used to make you feel better could be dangerous if you are already taking drugs for some other illness. Thus, check with your chemist or doctor to see whether they are all right for you. And remember they might make you sleepy. Please don’t try to drive if they do! Lastly, whatever you may be told about magic foods or drinks, the best answer is to keep yourself strong and healthy. You’ll have less chance of catching a cold. And if you do, it shouldn’t be so bad.

28.         The writer of the passage wants _______.

A. to write in an amusing way

B. to give general advice

C. to complain about his/her health

D. to persuade people to have more foods and drinks

29.         Colds are _______.

     A. very dangerous                   B. not dangerous at all

     C. unpleasant                 D. usually fatal

30.         What is the key to avoid catching a cold?

     A. having magic foods and drinks    B. sleeping a lot

     C. taking a lot of medicines               D. keeping yourself strong and healthy

31.         The underlined word "most" as used in the passage is closest in meaning to _______.

     A. very                 B. in the highest degree

     C. greatest            D. absolutely

32.         The writer of the passage is probably _______.

     A. a nurse             B. a health care specialist

     C. a novelist                   D. a reporter

here are many ways of spending free time (1)........................ Australia. Some people are (2)..............of skiing in Snowy Mountain or riding a surfboard in Queensland. Others love watching Kangaroos and Koalas in the wild (3)................. My sister says she only enjoys (4) Sydney from the skywalk. But I like going to Sydney Opera House (5),................. the great opera singers of the world can be heard. If you are bored with listening to opera singing, there will always be at least two (6)................. three other shows to suit your taste.