Số tập hợp con có phần tử của một tập hợp có phần tử là:   

Trong một buổi khiêu vũ có  nam và  nữ. Hỏi có bao nhiêu cách  chọn ra một đôi nam nữ để khiêu vũ?

Số hạng không chứa x trong khai triển  là   

Biết . Tìm hệ số của trong khai triển sau:   

Hệ số của số hạng chứa trong khai triển thành đa thức của biểu thức là:         

Cần phân công ba bạn từ một tổ có bạn để làm trực nhật. Hỏi có bao nhiêu cách phân công khác nhau?         

Tìm hệ số có giá trị lớn nhất của khai triển . Biết rằng tổng các hệ số là 4096.                         

Trong khai triển với . Số hạng chứa là:

Cho tập hợp có phần tử. Số tập hợp con gồm phần tử của và không chứa phần tử là :         

Công thức tính số tổ hợp là:

Hệ số của trong khai triển của biểu thức  là:                          

Tìm hệ số của trong khai triển .                                 

Khẳng định nào sau đây đúng?         

Gọi S là số cách chọn 4 bạn từ một tổ gồm 10 bạn để trực thư viện. Tìm giá trị của S.                         

Có 3 kiểu mặt đồng hồ đeo tay (vuông, tròn, elip) và 4 kiểu dây (kim loại, da, vải và nhựa). Hỏi có bao nhiêu cách chọn một chiếc đồng hồ gồm một mặt và một dây?

Tìm hệ số của số hạng chứa trong khai triển của với .

Số tập hợp con có phần tử của một tập hợp có phần tử là:   

Trong mặt phẳng cho tập hợp gồm điểm phân biệt trong đó không có điểm nào thẳng hàng. Số tam giác có điểm đều thuộc là:

Tìm số nguyên dươngthỏa mãn

Một hộp chứa viên bi xanh và viên bi đỏ. Lấy ngẫu nhiên bi. Tính xác suất để bi lấy được có đủ hai màu.         

Tổng  là:

Cho đường thẳng phân biệt đồng quy tại trong đó không có ba đường thẳng nào cùng nằm trên một mặt phẳng. Có bao nhiêu mặt phẳng đi qua trong số  đường thẳng nói trên?                 

Một hộp có 4 viên bi đỏ, 5 viên bi trắng và 6 viên bi vàng. Chọn ra 4 viên bi từ hộp đó. Hỏi có bao nhiêu cách chọn để trong số bi lấy ra không có đủ 3 màu?                         

Tính tổng  

Cho một đa giác đều đỉnh nội tiếp đường tròn . Biết rằng số tam giác có các đỉnh là trong đỉnh nhiều gấp lần số hình chữ nhật có các đỉnh là trong đỉnh. Tìm .  

Tìm biết rằng hệ số của trong khai triển bằng

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 27 to 38:

On a winter afternoon, a dozen male Northern fur seals are on an island off south - western Alaska. To look at them, fighting for territory on the rocks, it’s hard to imagine that they are at the (27)____________of a baffling scientific mystery: why is this species beginning to disappear? These seals - which can weigh up to 270 kilograms - have an important and symbolic (28)_________in Alaska’s history. Their soft and luxurious fur, the coveted prize during the huge commercial sea harvests that were legal here in the Bering Sea through the early 20th century, was once so valuable it (29)_________Alaska’s economy. Starting in the 1950s, for reasons that are (30)_______because the harvests by then tended to be fairly small, the seal population began a slow decline. But lately it has been falling drastically, declining at an alarming (31)________of 6 per cent a year since 1998. From a (32)_________ of more than 2 million in Alaska in 1948, their numbers have fallen to about 1 million. So (33)________, no one has been able to establish a precise cause for this, although theories (34)___________. The seal's food supply may be (35)________, or another species may be (36)________on the seals - perhaps killer whales, which no longer have as many great whales to eat because of harvesting of those mammals. Some people have suggested that the decline can be (37)______to entanglement in fishing nets, but scientists say they doubt that this alone could (38)_________the recent population decline.

Question 36:

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 27 to 38:

On a winter afternoon, a dozen male Northern fur seals are on an island off south - western Alaska. To look at them, fighting for territory on the rocks, it’s hard to imagine that they are at the (27)____________of a baffling scientific mystery: why is this species beginning to disappear? These seals - which can weigh up to 270 kilograms - have an important and symbolic (28)_________in Alaska’s history. Their soft and luxurious fur, the coveted prize during the huge commercial sea harvests that were legal here in the Bering Sea through the early 20th century, was once so valuable it (29)_________Alaska’s economy. Starting in the 1950s, for reasons that are (30)_______because the harvests by then tended to be fairly small, the seal population began a slow decline. But lately it has been falling drastically, declining at an alarming (31)________of 6 per cent a year since 1998. From a (32)_________ of more than 2 million in Alaska in 1948, their numbers have fallen to about 1 million. So (33)________, no one has been able to establish a precise cause for this, although theories (34)___________. The seal's food supply may be (35)________, or another species may be (36)________on the seals - perhaps killer whales, which no longer have as many great whales to eat because of harvesting of those mammals. Some people have suggested that the decline can be (37)______to entanglement in fishing nets, but scientists say they doubt that this alone could (38)_________the recent population decline.

Question 38:

Read the following passage and mark the letter A,B,C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks.

A trend that has emerged recently is the sharing of childcare (1) __________ between husband and wife. Young couples will try to arrange their work schedules so that they work opposite hours or shifts in order that one parent is always home with the children. Since childcare is expensive, this saves money for the young couple trying to establish themselves and provide a secure environment for the family. Husband and wife may also share household chores. Some fathers are just as capable as mothers at cooking dinner, changing and bathing the baby, and doing the laundry. In some cases, the woman’s salary is for family (2) __________ and the father becomes the “househusband." These cases are still fairly rare. One positive trend, however, is that fathers seem to be spending more time with their children. In a recent survey, 41% of the children sampled said they spend equal time with their mothers and fathers. “This is one of our most significant cultural changes,” says Dr. Leon Hoffman, who co-directs the Parent Child Center at the New York Psychoanalytic Society. In practice, for over 30 years, Hoffman has found "a very dramatic difference in the involvement of the father in everything from care-taking to general decision (3) __________ around kids' lives.” Another factor has recently been added to the childcare formula. The number of people who work from home nearly full-time rose 23% from the last decade. The (4) _________ of technology - computers, faxes, teleconferencing - has made it easier for at-home workers to be constantly in touch. Will this new flexibility in the workforce bring a positive change for the (5) __________ of children? Only time will tell.  

Question 1:

Read the following passage and mark the letter A,B,C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks.

A trend that has emerged recently is the sharing of childcare (1) __________ between husband and wife. Young couples will try to arrange their work schedules so that they work opposite hours or shifts in order that one parent is always home with the children. Since childcare is expensive, this saves money for the young couple trying to establish themselves and provide a secure environment for the family. Husband and wife may also share household chores. Some fathers are just as capable as mothers at cooking dinner, changing and bathing the baby, and doing the laundry. In some cases, the woman’s salary is for family (2) __________ and the father becomes the “househusband." These cases are still fairly rare. One positive trend, however, is that fathers seem to be spending more time with their children. In a recent survey, 41% of the children sampled said they spend equal time with their mothers and fathers. “This is one of our most significant cultural changes,” says Dr. Leon Hoffman, who co-directs the Parent Child Center at the New York Psychoanalytic Society. In practice, for over 30 years, Hoffman has found "a very dramatic difference in the involvement of the father in everything from care-taking to general decision (3) __________ around kids' lives.” Another factor has recently been added to the childcare formula. The number of people who work from home nearly full-time rose 23% from the last decade. The (4) _________ of technology - computers, faxes, teleconferencing - has made it easier for at-home workers to be constantly in touch. Will this new flexibility in the workforce bring a positive change for the (5) __________ of children? Only time will tell.  

Question 2:

Read the following passage and mark the letter A,B,C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks.

A trend that has emerged recently is the sharing of childcare (1) __________ between husband and wife. Young couples will try to arrange their work schedules so that they work opposite hours or shifts in order that one parent is always home with the children. Since childcare is expensive, this saves money for the young couple trying to establish themselves and provide a secure environment for the family. Husband and wife may also share household chores. Some fathers are just as capable as mothers at cooking dinner, changing and bathing the baby, and doing the laundry. In some cases, the woman’s salary is for family (2) __________ and the father becomes the “househusband." These cases are still fairly rare. One positive trend, however, is that fathers seem to be spending more time with their children. In a recent survey, 41% of the children sampled said they spend equal time with their mothers and fathers. “This is one of our most significant cultural changes,” says Dr. Leon Hoffman, who co-directs the Parent Child Center at the New York Psychoanalytic Society. In practice, for over 30 years, Hoffman has found "a very dramatic difference in the involvement of the father in everything from care-taking to general decision (3) __________ around kids' lives.” Another factor has recently been added to the childcare formula. The number of people who work from home nearly full-time rose 23% from the last decade. The (4) _________ of technology - computers, faxes, teleconferencing - has made it easier for at-home workers to be constantly in touch. Will this new flexibility in the workforce bring a positive change for the (5) __________ of children? Only time will tell.

Question 3:  

Read the following passage and mark the letter A,B,C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks.

A trend that has emerged recently is the sharing of childcare (1) __________ between husband and wife. Young couples will try to arrange their work schedules so that they work opposite hours or shifts in order that one parent is always home with the children. Since childcare is expensive, this saves money for the young couple trying to establish themselves and provide a secure environment for the family. Husband and wife may also share household chores. Some fathers are just as capable as mothers at cooking dinner, changing and bathing the baby, and doing the laundry. In some cases, the woman’s salary is for family (2) __________ and the father becomes the “househusband." These cases are still fairly rare. One positive trend, however, is that fathers seem to be spending more time with their children. In a recent survey, 41% of the children sampled said they spend equal time with their mothers and fathers. “This is one of our most significant cultural changes,” says Dr. Leon Hoffman, who co-directs the Parent Child Center at the New York Psychoanalytic Society. In practice, for over 30 years, Hoffman has found "a very dramatic difference in the involvement of the father in everything from care-taking to general decision (3) __________ around kids' lives.” Another factor has recently been added to the childcare formula. The number of people who work from home nearly full-time rose 23% from the last decade. The (4) _________ of technology - computers, faxes, teleconferencing - has made it easier for at-home workers to be constantly in touch. Will this new flexibility in the workforce bring a positive change for the (5) __________ of children? Only time will tell.  

Question 4:

Read the following passage and mark the letter A,B,C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks.

A trend that has emerged recently is the sharing of childcare (1) __________ between husband and wife. Young couples will try to arrange their work schedules so that they work opposite hours or shifts in order that one parent is always home with the children. Since childcare is expensive, this saves money for the young couple trying to establish themselves and provide a secure environment for the family. Husband and wife may also share household chores. Some fathers are just as capable as mothers at cooking dinner, changing and bathing the baby, and doing the laundry. In some cases, the woman’s salary is for family (2) __________ and the father becomes the “househusband." These cases are still fairly rare. One positive trend, however, is that fathers seem to be spending more time with their children. In a recent survey, 41% of the children sampled said they spend equal time with their mothers and fathers. “This is one of our most significant cultural changes,” says Dr. Leon Hoffman, who co-directs the Parent Child Center at the New York Psychoanalytic Society. In practice, for over 30 years, Hoffman has found "a very dramatic difference in the involvement of the father in everything from care-taking to general decision (3) __________ around kids' lives.” Another factor has recently been added to the childcare formula. The number of people who work from home nearly full-time rose 23% from the last decade. The (4) _________ of technology - computers, faxes, teleconferencing - has made it easier for at-home workers to be constantly in touch. Will this new flexibility in the workforce bring a positive change for the (5) __________ of children? Only time will tell.  

Question 5:

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 1 to 5:

Chimpanzees in the wild like to snack on termites, and youngsters learn to fish for them by pocking long sticks and other (1)……tools into the mounds that large groups of termites build. Researchers found that (2)…………average female chimps in the Gombe National Park in Tanzania learnt how to do termite fishing at the age of 31 months, more than two years earlier than the males. The females seem to learn by watching mothers. Researcher Dr. Elisabeth V. Lonsdorf, director of field conservation at the Lincoln Park Zoo in Chicago, said that it is (3)…………to find that, when a young male and female are near a mound, she’s really focusing on termite fishing and he’s spinning himself round (4)………circles. Dr Landsdorf and colleagues are studying chimpanzees at the zoo with a new, specially created termite mound, filled with mustard (5)……than termites. 

 Question 2:

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 1 to 5:

Chimpanzees in the wild like to snack on termites, and youngsters learn to fish for them by pocking long sticks and other (1)……tools into the mounds that large groups of termites build. Researchers found that (2)…………average female chimps in the Gombe National Park in Tanzania learnt how to do termite fishing at the age of 31 months, more than two years earlier than the males. The females seem to learn by watching mothers. Researcher Dr. Elisabeth V. Lonsdorf, director of field conservation at the Lincoln Park Zoo in Chicago, said that it is (3)…………to find that, when a young male and female are near a mound, she’s really focusing on termite fishing and he’s spinning himself round (4)………circles. Dr Landsdorf and colleagues are studying chimpanzees at the zoo with a new, specially created termite mound, filled with mustard (5)……than termites. 

 Question 3:

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 1 to 5:

Chimpanzees in the wild like to snack on termites, and youngsters learn to fish for them by pocking long sticks and other (1)……tools into the mounds that large groups of termites build. Researchers found that (2)…………average female chimps in the Gombe National Park in Tanzania learnt how to do termite fishing at the age of 31 months, more than two years earlier than the males. The females seem to learn by watching mothers. Researcher Dr. Elisabeth V. Lonsdorf, director of field conservation at the Lincoln Park Zoo in Chicago, said that it is (3)…………to find that, when a young male and female are near a mound, she’s really focusing on termite fishing and he’s spinning himself round (4)………circles. Dr Landsdorf and colleagues are studying chimpanzees at the zoo with a new, specially created termite mound, filled with mustard (5)……than termites. 

 Question 1: