Cho hai số phức khác 0 là z = r(cosφ + isinφ) và z' = r'(cosφ' + isinφ') (r , r' , φ, φ' ∈ R). Điều kiện cần và đủ về r, r', φ, φ' để z = z' là:
A. r = r' ; φ = φ'
B. r = r' ; φ = φ' + k2  (k ∈ R)
C. r = r' ; φ = φ' + (2k + 1)  (k ∈ R)
D. Cả hai phương án r = r' ; φ = φ' + k2  (k ∈ R) và r = r' ; φ = φ' + (2k + 1)  (k ∈ R) đều đúng.

Số phức $z=\cos \frac{\pi }{8}+i.\sin \frac{\pi }{8}$ có argument bằng
A. $\varphi =-\frac{\pi }{8}.$
B. $\varphi =\frac{\pi }{8}.$
C. $\varphi =-\frac{\pi }{4}.$
D. $\varphi =\frac{\pi }{4}.$

Cho $\alpha ,\beta $ là hai số phức liên hợp thỏa mãn$\frac{\alpha }{{{{\beta }^{2}}}}\in R$ và$\left| {\alpha -\beta } \right|=2\sqrt{3}.$ Khi đó$\left| \alpha \right|$bằng?
A. 1.
B. 2.
C. 4.
D. 8.

Phương trình 2z2 + 2z + 5 = 0 có:
A. Hai nghiệm thực.
B. Một nghiệm thực, một nghiệm phức.
C. Hai nghiệm phức đối nhau.
D. Hai nghiệm phức liên hợp với nhau.

Cho tích phân $\displaystyle I=\int\limits_{0}^{1}{{{x}^{2}}\left( 1+x \right)}dx$ bằng: 
A. $\displaystyle \int\limits_{0}^{1}{\left( {{x}^{3}}+x4 \right)}dx$
B. $\displaystyle \left. \left( \frac{{{x}^{3}}}{3}+\frac{{{x}^{4}}}{4} \right) \right|_{0}^{1}$.
C. $\displaystyle ({{x}^{2}}+\left. \frac{{{x}^{3}}}{3}) \right|_{0}^{1}$.
D. 2.

Choose one sentence that has the same meaning as the root one:
Although it was cold, we all went for a walk.
A. Despite of the cold weather, we all went for a walk.
B. Despite the cold weather, we all went for a walk.
C. Despite the cold, we all went for a walk.
D. Despite being cold, we all went for a walk.

Choose a word that has different stress pattern:
occupation                    national                       natural                      passenger
A. occupation                    
B. national                       
C. natural                      
D. passenger

Find a mistake in the four underlined parts of the sentence and correct it:
The Japanese Covered Bridge built in the 16th century is still well-preserving in Hoi An.
A. built
B. is
C. well-preserving
D. in

Choose the best answer for the following sentence:
Mr Smith was ____________ in a road accident. 
A. wronged                       
B. wounded   
C. injured   
D. damaged

Read the following passage and choose the best answer for each blank:
                                        HISTORY OF MUSIC         Music is found in every known culture, past and present, (1)________ wildlybetween times and places. Scientists now believe that modem humans emerged from Africa 160,000 years ago. Around 50,000 years ago these humans began to disperse from Africa (2)_______ all the habitable (3)__________ . Since all people of the world, including the most isolated tribal groups, have a form (4)________ music, scientists conclude that music must have been present in the ancestral population prior to the dispersal of (5)________ around the world. Consequently, music must have been in existence (6)________ at least 50,000 years and the first music must have been invented in Africa and (7)__________ evolved to become a fundamental constituent of human life.        A culture's music is (8)_________ by all other aspects of that culture, including social and economic organization and experience, climate, and access to technology. The emotions and ideas that music (9)_________ , the situations in which music is played and listened to, and the attitudes toward music players and(10)_______ all vary between regions and periods. "Music history" is the distinct subfield of musicology and history which studies music (particularly western art music) from a chronological perspective.
 
1. A. altering               B. varying                C. changing                D. moving2. A. reaching             B.reach                    C. to reach                  D. reached3. A. areas                 B. continents            C. land                        D. soil4.A. in                        B. for                        C. of                            D. at5. A. men                   B. humans                C. human                    D. people6. A. in                       B. at                         C. of                            D. for7. A. then                   B. so                        C. now                        D. finally8. A. influence            B. to influence          C. influenced               D. influential9. A. writes                B.speaks                  C. conveys                  D. expresses10. A. composer        B. composers            C. components           D. composing
 
A. 1. B                2. A                 3. B                 4. C                 5. B6. D                7. A                 8. C                 9. D                 10. B 
B. 1. B                2. A                 3. B                 4. C                 5. C6. D                7. A                 8. C                 9. B                 10. C 
C. 1. B                2. A                 3. A                 4. C                 5. B6. D                7. B                 8. C                 9. A                 10. D 
D. 1. B                2. C                 3. B                 4. C                 5. D6. D                7. A                 8. C                 9. D                 10. A