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A line in the xy-plane has the equation y=mx+6, where m is a constant and 3 ≤ m ≤ 4. Which of the following could be the x-intercept of the line?

Indicate all such values.


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?

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.
A stone was dropped into a still pond and produced concentric circular ripples on the surface of the water. The radius of the outermost ripple increased at a constant rate of x feet per second. If the area of the circular region enclosed by the outermost ripple was 400π square feet 10 seconds after the stone hit the water, what is the value of x?

Quadrilateral ABCD is a parallelogram, r=2, and ∠DAB=45, what is the area of the shaded region?


If 20 red cubes and 7 white cubes, all of equal size, are fitted together to form one large cube, as shown above, what is the greatest fraction of the surface area of the large cube that could be red?
In a sequence,$$a_{1}=1$$, $$a_{n}=a_{n-1}+n$$,what is the value of $$a_{49}$$?
A father purchased theater tickets for 6 adjacent seats in the same row of seats for himself, his wife, and their 4 children. How many seating arrangements are possible if the father and mother sit in the 2 middle seats?
$$x^{2}$$+$$y^{2}$$=52. Both x and y are integers and x > y.

Quantity A

x

Quantity B

4


A customer ordered 391 identical handbags and must choose a shipping plan. The shipper will use any combination of containers of sizes that each hold up to 20 handbags, up to 12 handbags, and up to 5 handbags. The shipping costs for these container sizes are $3, $2, and $1, respectively. At most one of the containers will be shipped holding less than the maximum number of handbags for that container. For the total shipping cost, the cost of using only the containers that hold up to 5 handbags is how much greater than the least possible cost?
A set of k consecutive integers, including 2. The sum of the integers in the set is -11.

Quantity A

k

Quantity B

10


Which of the following set has the greatest number of integers from 1 to 100, inclusive?
What is the units digit of the positive difference between $$3^{7}*5^{4}*7^{11}$$ and $$4^{2}*5^{3}$$*11?
The degree measure of each angle of a regular polygon with n sides is between 100 and 130. Which of the following could be the value of n?

Indicate all such integers.
The length of the three sides of a triangle is 13, 13 and 10

Quantity A

The area of the triangle

Quantity B

65



The figure above is three congruent square. The bottom side of the left square aligns with the top side of the bottom square. The area of each square is 4, AC=BC. What`s the perimeter of △ABC?


The tick marks shown on the number line are evenly spaced. Points D and E have coordinates of $$4^{10}$$ and $$4^{11}$$, respectively. The point that has a coordinate of $$4^{9}$$ is?
N family have 2 boys and 1 girl each, M family have 1 boy and 2 girls each. In total, there are 11 boys and 10 girls among these M+N family. What is the sum of N+M?
How many different points (x, y), where x and y are both positive integers, in xy-plane satisfy the inequality x+y ≤ 200?
Three groups of people have 8, 6 and 10 people, respectively. How many ways can you select two people from all these groups such that they are from different groups?

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