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 ~

Choose the word or phrase among A, B, Cor D that best fits the blank space in the following passage.

Role of Teachers

The changes that (1)……. in schools have changed the roles of teachers. In the past, teachers used to be the (2) ……..source of knowledge, the leader and educator of their students' school life. Nowadays, teachers provide information and show their students how to (3)…….. it. Although they are still considered to be a kind of (4)……….. in the class, they can be thought of as facilitators in the learning (5)………..

Another difference between the past and present tasks of teachers is represented by the technical (6)……… they need to be able to use and handle effectively, such as computer, photocopier, PowerPoint, projectors, etc. Instead of teaching (7)……… chalk, they need tobe an information technology expert.

One of the biggest challenges for teachers is that their role in the school management has also changed. The school needs them as individuals, who can make decisions and cope with the stress of the (8)……….. world of schools. At the same time teachers need to be able to work in teams, and (9)……….. with colleagues and parents. A teacher has not only to instruct but also to (10)…….. the students with confidence and determination.

Question 1

A.existed

B.took place

C.occurring

D.took first place

Choose the word or phrase among A, B, Cor D that best fits the blank space in the following passage.

The changes that (1)……. in schools have changed the roles of teachers. In the past, teachers used to be the (2) ……..source of knowledge, the leader and educator of their students' school life. Nowadays, teachers provide information and show their students how to (3)…….. it. Although they are still considered to be a kind of (4)……….. in the class, they can be thought of as facilitators in the learning (5)………..

Another difference between the past and present tasks of teachers is represented by the technical (6)……… they need to be able to use and handle effectively, such as computer, photocopier, PowerPoint, projectors, etc. Instead of teaching (7)……… chalk, they need tobe an information technology expert.

One of the biggest challenges for teachers is that their role in the school management has also changed. The school needs them as individuals, who can make decisions and cope with the stress of the (8)……….. world of schools. At the same time teachers need to be able to work in teams, and (9)……….. with colleagues and parents. A teacher has not only to instruct but also to (10)…….. the students with confidence and determination.

A. existed

B. took place

C. occurring

D. took first place

I) Complete the sentences,using relative clauses

1. On the classroom blog, a teacher can upload video and image illustrations on specific subjects , which/ who can help students learns easily

2. Parents whose/who have to pay for mobile devices may be happy with the new method of teaching and its benefits

3. Students will enjoy doing many activities, including games, puzzles, who/whose purposes are the development of team spirits

4. Several students which/who are able to touch and interact with the smart table at the same time will work together more effectively

5. The learning applications which/who students can participate in using the smart table will encourage them to work together to solve problems

6. There are interactive activities which/who are available to be downloaded from the internet

7. The smart table has been used in several schools, which/who brings many benefits to our students

8. It is an electronic device which/who students can start using as soon as the teacher has turned it on, without a lot of training earlier

9. Teachers which/who introduce activities to the whole class can work with smaller groups on the smart table to introduce discussions about the subject matter

10. The applications which/who come with the smart table can help students learn various subjects at school