Đề thi Olympic Tiếng Anh lớp 9 vòng 33 năm 2013 - 2014

Câu 1

Solve for x: - 1/2 × ∣2x + 6∣ + 2 = 0

Câu 2

A patient was given medicine for pain. The graph represents the level of pain as a function of time after taking the medicine. Which type of function best models the pain level as a function of time?

Câu 3

Which circle has the smallest area?

Câu 4

The first five terms of an arithmetic sequence of numbers are –3, 2, 7, 12, 17. Which expression represents the nth term of this sequence?

Câu 5

Which graph best represents no correlation between the length of a person’s hair and the person’s height?

Câu 6

The profit (P), in dollars, for a company is modeled by the function P(x) = -750x2 + 15,000x, where x is the number of items produced. For which values of x will the company lose money?

Câu 7

What are the vertical and horizontal asymptotes of the function f(x) = (1 - x²)/(x² - 4)

Câu 8

In which direction is the graph of f(x) = 5/( x + b ) translated when b increases?

Câu 9

A company that manufactures jeans estimates that the profit for selling a particular style is given by the equation: P = -250x3 + 1,505x2 − 300, for 0 < x < 6 where P is profit in tens of thousands of dollars and x is the advertising expense in tens of thousands of dollars. What does an x-intercept mean in the context of the problem?

Câu 10

Foxes were released into a national park. The population, P, of the group is given by the equation P = 20(5 + 3t)/(1 + 0.04t), where t is the number of years after the release. What is the population of foxes after 50 years?