* Cho ΔABC có AB=12cm, AC=16cm, BC=20cm

a. CM:ΔABC vuông tại A

b. Tính đường cao AH

c. CM: AB.cosB+AC. cosC= 20cm

* Cho ΔABC vuông tại A, biết AC= 12cm, BC=15cm

a. Giải tam giác ABC

b. Tính độ dài đường cao AH, đường phân giác AD của ΔABC

* Cho ΔABC có 3 góc nhọn, kẻ đường cao AH.

a. CM: sinA+cos A>1

b. CM: BC=AH. (cotgB+cotgC)

c. Biết AH=6cm, góc B=\(60^0\), góc C=\(45^0\). Tính diện tích ΔABC

* Tính ( không dùng máy tính)

\(\sin^235^0+tan22^0+sin^255^0-cotg13^0:tan77^0-cotg68^0\)

* Cho góc nhọn a, sina=\(\dfrac{2}{3}\)biết. Không tính số đo góc, hãy tính cosa, tân, cotga

* Using the words given and other words, complete the second sentence so that it has a similar meaning to the first sentence. Do not change the word given. (Use 2 – 5 words in total)
1. Whose bag is this? (belong)
Who ……………………………………………………………to?
2. All teachers like Kate. (popular)
Kate …………………………………………………………….
3. They moved to this suburb in 1990. (lived)
They have ……………………………………………………………1990.
4. Tom isn’t old enough to live on his own. (too)
Tom ……………………………………………………………on his own.
5. Mai began singing when she was eleven. (able)
Mai has ……………………………………………………………she was eleven.
6. I’m sorry I can’t speak English perfectly. (wish)
I ……………………………………………………………English perfectly.
7. Many people think John stole the money. (believed)
John is ……………………………………………………………the money.
8. Peter is fourteen years old. Van is fourteen years old. (age)
Peter ……………………………………………………………Van.
9. Walking among the green trees gave Liz pleasure. (enjoyed)
Liz ……………………………………………………………green trees.
10. Do you think you could give me a hand to move the sofa? (mind)
Would you ……………………………………………………………to move the sofa?

* Choose the underline word or phrase (A, B, C or D) that needs correct.
1. We reached the nearest village after walk for five hours.
              A                   B                             C      D
2. Ben has to save a few money for his trip of a life time to Hawaii.
                  A                  B               C                        D
3. We wish today is sunny so that we could spend the day in the countryside.
                             A                 B                 C                                     D
4. The little boy’s mother bought him a five-speeds racing bicycle for his birthday
               A                            B                    C                                    D
5. Liz spent such an enjoying day in Ba’s home village that she plans to return to the village someday.
                      A             B                                                  C                   D

* Choose the one option (A, B. C or D) that best completes the passage.
Last weekend, I had a day trip to the countryside with some of my classmates. We went to visit a farm on (1) ……………………Peter’s Uncle Tom works.
We left early in the morning and went there by bus. Uncle Tom and some workers met us at the bus stop and (2) ……………………us to their farm. (3) ……………………, Uncle Tom showed us (4)……………………of wheat, corn, and vegetables where some tractors (5) ……………………up and down,
plowing and breaking soil, distributing manure and (6) ……………………seeds. After lunch, we all went for a walk round the farm. In the large yard of the farm we saw a lot of (7) ……………………machinery. In the afternoon we went to the cattle farm. A lot of horses, sheep and cows were (8)
……………………here. We saw a new-born (9) ……………………in the cowshed when we helped the farmers to feed the cows. After having some tea and cakes we said goodbye and went home. It was an (10)
……………………day!
1. A. whom B. that C. which D. where
2. A. dropped B. picked C. brought D. took
3. A. On the street B. On the road C. On the way D. On the path
4. A. areas B. fields C. forests D. meadows
5. A. ran B. was running C. were running D. are running
6. A. planting B. plowing C. growing D. producing
7. A. farm B. farming C. farmer D. farmyard
8. A. trapped B. collected C. raised D. risen
9. A. calf B. puppy C. colt D. lamb
10. A. enjoy B. enjoying C. enjoyed D. enjoyable

* Complete the dialogue.
Bob : Do you have any hobbies?
Liz : Yes, I like pop (1) ………………….
Bob : Do you play (2) …………………games?
Liz : Yes, I do. I like tennis.
Bob : I like it, (3) …………………. Can we have a (4) …………………now?
Liz : Oh dear, I’m sorry. I don’t have time at the (5) ………………….
Bob : Where are you going?
Liz : I’m playing (6) …………………. Do you like hockey?
Bob : Not really. I’m not good (7) …………………running about and hitting a ball with a stick.
Liz : That doesn’t (8) …………………. We just play for fun. Why (9) …………………you try playing?
Bob : Some time, perhaps. But I don’t have a hockey (10) ………………….

* Use “so” and the cue given to write sentences.
1. She / be / tired, / go / home /.
………………………………………………………………………………………………………………………………
2. He / work / hard, / pass / all his exams /.
………………………………………………………………………………………………………………………………
3. It / start / rain, / we / stop / playing tennis /.
………………………………………………………………………………………………………………………………
4. Paul / be / very hungry, / eat / like a horse /.
………………………………………………………………………………………………………………………………
5. Our suitcases / be / very heavy, / take / a taxi /.
………………………………………………………………………………………………………………………………
6. He / be / rather old, / can’t wear / that kind of hat /.
………………………………………………………………………………………………………………………………
7. The weather / be / bad, / didn’t enjoy / our holiday /.
………………………………………………………………………………………………………………………………
8. No one / watching / the television, / I / switch / off /.
………………………………………………………………………………………………………………………………
9. The weather / be / cold, / have to cancel / our picnic /.
………………………………………………………………………………………………………………………………
10. I / like / table tennis, / spend a lot of time / that game /.
………………………………………………………………………………………………………………………………
11. The laptop / not work, / Vicky / take / back to the shop.
………………………………………………………………………………………………………………………………
12. I / not have / a computer, / so / not / finish / report yet /.
………………………………………………………………………………………………………………………………
13. We / want / get a good seat, / arrive / the cinema early /.
………………………………………………………………………………………………………………………………
14. The children / feel / tired, / sit down and rest / for lunch /.
………………………………………………………………………………………………………………………………
15. There / be / a herd of cow / on the street, / all the cars / stop /.
………………………………………………………………………………………………………………………………

* Cho tam giác ABC, biết rằng AB=9cm, AC=12cm, BC=15cm, AH là đường cao

a. CM: ΔABC vuông

b. Tính AH, BH

c. Vẽ HE vuông góc AB tại E, Vẽ HI vuông góc AC tại I. CM: AE.AB=AI.AC

d. CM: \(\sqrt{BH.HC}\le\dfrac{BC}{2}\)

* Cho ΔABC vuông tại A, có AB=5cm, AC=12cm

a. Tính BC

b. Tính các tỉ số lượng giác của góc B (viết kết quả dưới dạng phân số)

c. Tìm số đo góc C (làm tròn đến độ)