câu 1: A rectangle has a length of 60cm and a width of 30cm. It is cut into 2 indentical squares, 2 identical rectangles and a shaded small square. Find the area of the shaded square.
Find the area of the shaded square.

câu 2.The number of ordered pairs (x; y) where x, y ∈ N* such that x²y² - 2(x + y) is perfect square is ..........

câu 3.Let ABCD be the square with the side length 56cm. If E and F lie on CD, C respectively such that CF = 14cm and EAF = 45^o then CE = ........cm.

câu 4.

Given P(x) = (x² - 1/2 x - 1/2)¹⁰⁰⁸
If P(x) = a₂₀₁₆x²⁰¹⁶ + a₂₀₁₅x²⁰¹⁵ + ..... + a₁x + a₀
then the value of the sum a₀ + a₂ + a₄ + .... + a₂₀₁₄ is ...........

Let f(x) the polynomial given by f(x) = (1 + 2x + 3x² + 4x³ + 5x⁴ + 84x⁵)
Suppose that f(x) = a_o + a₁x + a₂x² + ..... + ..... + a₅₀x⁵⁰.
The value of T = a₁ + a₂ + .... + a₅₀ is .........

IV. Choose the word (a, b, c, or d) that best fits each of the blank spaces.
How can we keep our teeth (21) ______? Firstly, we ought to visit our (22) ____ twice a year. Secondly, we should brush our teeth (23) ____ a toothbrush and fluoride toothpaste at least twice a day, once after breakfast and once before we go to bed. We can also use toothpicks (24) _____between our teeth after a meal. Thirdly, we (25) ______ eat food that is good (26) ______ our teeth and our body: milk, fish, brown bread, raw vegetables, fresh fruit, etc.
21. a. health     b. healthy    c. healthily    d. unhealthy
22. a. dentist     b. doctor    c. teacher    d. engineer
23. a. on     b. of    c. by    d. with
24. A. clean    b. to clean    c. cleaning    d. to cleaning
25. a. should    b. ought to    c. need    d. a & b
26. a. for    b. at    c. on    d. to
V. Read the following passage and choose the item (a, b, c, or d) that best answers each of the questions about it.
A: Hi. Can I help you?
B: Yes, please. Could I have something fpr a cough? I think I’m getting a cold.
A: Well, I sugest a box of these cough syrup. And you should get a bottle of vitamin C, too.
B: Thank you. And what do you have for dry skin?
A: Try some of this new lotion. It’s very good.
B: OK. Thanks a lot.
27. What does the word ‘cold’ in line 2 mean?
a. low temperature         b. not hot or warm     
c. a common illness         d. not heated or cooked
28. The first speaker suggested that the second speaker should buy_____.
a. a box of cough syrup     b. a bottle of vitamin C 
c. a new lotion for dry skin     d. all are correct 
29. The second speaker is a_______.
a. patient     b. doctor     c. dentist         d. nurse
30. They are talking in a______.
a. theater     b. stadium     c. drugstore         d. dentist’s
31. Which of the following is not true?
a. Vitamin C is good for a cold.
b. Cough syrup is good for a cough. 
c. There is a new lotion for dry skin.
d. The second speaker doesn’t want to buy the new lotion.

THE STORY OF COCA-COLA

Coca-Cola was invented in 1886 by John Pemberton, a druggist living in Atlanta. The original drink was a type of syrup, using coca leaves, sugar and cola nuts, plus a few other secret ingredients! Pemberton sold it as a medicine; and with its coca (the source of cocaine), it must have made people feel good!

Nevertheless, Pemberton’s medicine was not very successful, so he sold his secret formula to another druggist, Asa Candler. Candler was interested, because he had another idea that Pemberton’s “medicine” would be much better if it was mixed with soda. Candler was thus the man who really invented the drink Coca-Cola. Candler also advertised his new drink, and soon people were going to drugstores just to get a drink of Coca-Cola.

Before long, other people became interested in the product, including a couple of businessmen who wanted to sell it in bottles. Candler sold them a licence to bottle the drink, and very quickly the men became millionaires. The famous bottle, with its very distinctive shape, was designed in 1916. And the famous Coca-Cola logo is the most famous logo in the world. Unlike any other famous commercial logos, it has not changed in 100 years!

During the First World War, American soldiers in Europe began asking for Coca-Cola, so the Coca-Cola company began to export to Europe. It was so popular with soldiers that they then had to start bottling the drink in Europe.

Today, Coca-Cola is made in countries all over the world, including Russia and China; it is the world’s most popular drink.

As for the famous formula, it is probably the world’s most valuable secret! The exact ingredients for making Coca-Cola are only known to a handful of people. And as for the “coca” that was in the original drink, that was eliminated in 1903. It was a drug, and too dangerous. Today’s Coca-Cola contains caffeine, but not cocaine!

87. According to the passage, Coca-Cola was first introduced in ____.

A. America            B. China              C. Europe                  D. Russia

88. According to the passage, the original drink made people feel good because it contained ____.

A. coca leaves             B. cola nuts             C. secret ingredients                  D. sugar

89. It is stated in the passage that Candler was interested in the product because he thought ____.

A. he could develop the original formula by adding soda

B. he would sell it and quickly became a millionaire

C. it was an useful medicine which made people feel good

D. Pemberton’s medicine was very famous and successful

90. The word “licence” in the passage is closest in meaning to ____.

A. certificate            B. permission            C. charter              D ticket

91. The word “distinctive” in the passage is opposite in meaning to ____.

A. normal            B. original            C. ugly                D unique

92. When were the Coca-Cola’s bottle shape and logo designed according to the passage?

A. in 1886               B. in 1916               C. in 1930               D. in 1986

93 The word “eliminated” in the passage probably means ____.

A. banned             B. destroyed           C. erased             D. excluded

94. According to the passage, what is NOT true about the formula of Coca-Cola ?

A. It is probably the world’s most priceless secret.

B. It was really invented by the druggist. Asa Candler.

C. Its exact ingredients are well known to many people.

D. Its ingredient was changed from cocaine to caffeine.

I. Choose the word that has the underlined part pronounced differently from the others.
1. a. ambulance b. bandage c. damage d. patient
2. a. hit b. tight c. injection d. sting
3. a. forget b. present c. overheat d. emergency
4. a. faint b. aid c. pain d. wheelchair
5. a. crutch b. school c. chart d. handkerchief
II. Choose the word or phrase that best completes each unfinished sentence below or substitutes for
the underlined word or phrase.
6. I put the heater on_________the plants warm.
a. keep b. keeping c. to keep d. for keeping
7. Why not come over at the weekend? The children_____ seeing you again.
a. enjoy b. will enjoy c. are enjoying d. is going to enjoy
8. That bag looks heavy. I_______ you with it.
a. will help b. am going to help c. am helping d. help
9. Calm______and tell me what happened.
a. out b. down c. in d.up
10. Sam was trying hard ____.
a. not to laugh b. to not laugh c. not laughing d. to not laughing
11. You _____ forget what I told you. It’s very important.
a. mustn’t b. needn’t c. don’t have to d. can’t
12. Cool the burns immediately so as to ______ tissue damage.
a. ease b. relieve c. minimize d. maximize
13. ____ is a long stick that someone put under their arm to help them, walk when they have hurt their leg.

a. Crutch b. Wheelchair c. Stretcher d. Bandage
14. These medicines can_______ your headache.
a. ease b. elevate c. revive d. affect
15. Don’t overheat the victim with blankets or coat.
a. make someone too hot b. make someone too cold c. hurt someone d. destroy someone
III. Choose the words or phrases that are not correct in Standard English.
16. He is going to get to work earlier in order impress the boss.
A B C D
17. They are planting trees by the roadside so that reduce the traffic noise.
A B C D
18. It’s a secret between us and I promise I don’t tell anybody.
A B C D
19. You don’t have to keep medicines where children can get them.
A B C D
20. The room got quietly when the professor came.
A B C D
IV. Choose the word (a, b, c, or d) that best fits each of the blank spaces.
How can we keep our teeth (21) ______? Firstly, we ought to visit our (22) ____ twice a year.
Secondly, we should brush our teeth (23) ____ a toothbrush and fluoride toothpaste at least twice a day,
once after breakfast and once before we go to bed. We can also use toothpicks (24) _____between our
teeth after a meal. Thirdly, we (25) ______ eat food that is good (26) ______ our teeth and our body: milk,
fish, brown bread, raw vegetables, fresh fruit, etc.
21. a. health b. healthy c. healthily d. unhealthy
22. a. dentist b. doctor c. teacher d. engineer
23. a. on b. of c. by d. with
24. a. clean b. to clean c. cleaning d. to cleaning
25. a. should b. ought to c. need d. a & b
26. a. for b. at c. on d. to
V. Read the following passage and choose the item (a, b, c, or d) that best answers each of the
questions about it.
A: Hi. Can I help you?
B: Yes, please. Could I have something fpr a cough? I think I’m getting a cold.
A: Well, I sugest a box of these cough syrup. And you should get a bottle of vitamin C, too.
B: Thank you. And what do you have for dry skin?
A: Try some of this new lotion. It’s very good.
B: OK. Thanks a lot.
27. What does the word ‘cold’ in line 2 mean?
a. low temperature b. not hot or warm c. a common illness d. not heated or cooked
28. The first speaker suggested that the second speaker should buy_____.
a. a box of cough syrup b. a bottle of vitamin C
c. a new lotion for dry skin d. all are correct
29. The second speaker is a_______.
a. patient b. doctor c. dentist d. nurse
30. They are talking in a______.
a. theater b. stadium c. drugstore d. dentist’s
31. Which of the following is not true?
a. Vitamin C is good for a cold. b. Cough syrup is good for a cough.
c. There is a new lotion for dry skin. d. The second speaker doesn’t want to buy the new lotion.