Đề thi Olympic Tiếng Anh lớp 11 vòng 24 năm 2013 - 2014

Câu 1

Josh earns money by washing cars in his neighborhood. He spent $215 on supplies and charges $15 for each car washed. Josh's profit, p, can be represented by the function p = 15n − 215, where n represents the number of cars that Josh washes. What is the minimum number of cars Josh must wash to make a profit?

Câu 2

In the accompanying diagram, HK bisects IL and ∠H ≅ ∠K. What is the most direct method of proof that could be used to prove ΔHIJ ≅ ΔKLJ?

Câu 3

The original function y = 0.4x + 4 is graphed on the same grid as the new function y = 2.5x + 4. Which of the following statements about these graphs is true?

Câu 4

The graph above shows the relationship between the value of a car in dollars and the age of the car in years. According to the graph, which of the following statements appears to be true?

Câu 5

If f(x) = x + 1 and g(x) = x² – 1, the expression (g ° f)(x) equals 0 when x is equal to

Câu 6

In the accompanying diagram of triangles BAT and FLU, ∠B ≅ ∠F and BA ≅ FL. Which statement is needed to prove ΔBAT ≅ ΔFLU?

Câu 7

The diameter of circle P is RT. The center of the circle, P, has coordinates (– 4, 1). The coordinates of point R are (2, –3). What are the coordinates of point T?

Câu 8

The expression (16a⁶b⁴)^1/4 is equivalent to

Câu 9

What are the coordinates of the turning point of the parabola whose equation is y = −x² + 4x + 1?

Câu 10

Andrea draws PQ with endpoints P(4, –3) and Q(2, 6). She then draws PR so that it is perpendicular to PQ. What is the slope of PR?