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If the x-intercept of line l is -4,and the y-intercept of line l is 3,what is the slope of line l?

Give your answer as a fraction.


The parabola in the xy-plane above is the graph of the equation $$y = ax^{2}$$ + bx+ c, where a, b, and c are constants. Which of the following statements must be true?

Indicate all such statements.


The figure consists of 14 identical equilateral triangular regions. If the area of the figure is $$56\sqrt{3}$$, what is the perimeter of the figure?
Point B is to the direct north of Point A, while Point C is to the direct east of Point A. The distance between Point B and Point A is 14,and the distance between Point B and Point C is 4 more than the distance between Point A and Point C. What is the distance between Point B and Point C?
Give your answer as a fraction.

Δ ABC is an equilateral triangle,DE is parallel with AB. The area of Δ CDE is 1/9 of the area of Δ ABC. What is the ratio of CD to AD?
Give your answer as a fraction.
If the diagonal length of square $$A_1$$ is 10 and the diagonal length of square $$A_2$$ is 20, what is the area ratio of $$A_1$$ to $$A_2$$?
Give your answer as a fraction.

In the figure, the square ENFM is inscribed in the rectangle ABCD, E and F are the midpoints of side AB and DC. If the area of ENFM is 64, G and H are the midpoints of AD and BC, and GM=NH=5, then what is the area of ABCD?

The figure above shows five congruent circles each with radius 2 such that each of the five circles is tangent to two other congruent circles and to a smaller inner circle. The perimeter of the figure is composed of 5 line segments of length X and 5 circular arcs of length Y. What is the perimeter of the figure?
The radius of cylinder A is twice as many as the radius of cylinder B, and the height of cylinder A is twice as many as the height of cylinder B, so what is the ratio of the volume of cylinder B to the volume of cylinder A?
Give your answer as a fraction.
Vertical cylinder A and B share the same volume. The base radius of cylinder A is twice as many as that of cylinder B. What is the height ratio of cylinder A and B?
Give your answer as a fraction.
Three students need to read 50 proposals. Each student has to read at least one proposal. Student A read 38 of them, Student B read 36 of them, while Student C read 28 of them. At least how many proposals are read by at least two students?
A man updates his two computers regularly. On June, $$1^{st}$$, he updated both of them, then update the first computer every six days (for example, the next update will be June, $$7^{th}$$), and update the second one every 8 days, so in the 30 days of month June, how many days will this man not update the computers?
In a sequence, $$S_{1} = 5$$, $$S_{n} = 2* S_{n-1}$$, for any positive integer n greater than 1.

Quantity A

$$S_{8}$$

Quantity B

$$\frac{S_{21}}{S_{13}}$$


S is a list with 50 numbers. If $$a_{n}= \frac{n+1}{n}-1$$ , where n is an odd number,and $$a_{n} = - a_{n-1}$$, where n is an even number, what is the range of the 50 numbers?
In a sequence,$$a_{1}=1$$,$$a_{n}=a_{n-1}+n$$,what is the value of $$a_{49}$$?
How many different three-digit positive integers are there that are greater than 300 and contain three of the four digits 1, 2, 3, and 4?
Each digit of a four-digit integer is odd, how many such four-digit integers are there?
A person has 4 different coats, 3 different pairs of pants, 2 different shirts, and 4 different scarves. If he put on a coat, a pair of pants and a shirt at one time, and a scarf is optional, in how many ways can he choose the clothes?
In an election, 2 candidate, 3 candidates and 4 candidates campaign for A position, B position and C position, respectively. If every voter must choose one candidate for each position, how many different ways can a voter fill the voting ballot?
A 3-digit integer is formed by 3 different integers selected from 1,2,3,4,5. How many different such 3-digit integer?

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