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$$\frac{2}{x}$$=$$\frac{y}{2}$$ (x and y are both integers)

Quantity A

x

Quantity B

y


If z=$$\frac{x}{y}$$, w= $$\frac{x}{x+y}$$, and 0 < x < y, what is w in terms of z?
$$\frac{a+1}{b-1}=\frac{5}{7}$$

Quantity A

$$\frac{a}{b}$$

Quantity B

$$\frac{1}{2}$$


1 pound tea can make 210 cups of tea and 1 pound coffee can make 40 cups of coffee. The number of cups of coffee sold by a restaurant is 12 times as many as the number of cups of tea sold. What is the ratio of the pounds of tea to pounds of coffee?

Give your answer as a fraction.
In a factory, 840 workers are on day shift, among whom 252 are female. 700 workers are on night shift. The ratio of male and female workers is the same for both workers on day shift and workers on night shift. What is the number of male workers that are on night shift?

Triangles ABC and DEF are right triangles with AB = CB = DE = EF. If the area of the inscribed square region labeled X is 441, what is the area of the inscnibed square region labeled Y?

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 figure shown consists of a rectangle with length 14 and width 6, together with three isosceles right triangles. What is the area of the entire figure?
The length of three sides of a triangle is 3, 4 and y. If none of the interior angles of the triangle is more than 90°, then the range of y is?

In △ABC, AE = 1/2 BE, EF is parallel with BC. If EF = 5, what is the length of BC?


PQ=QR

The area of the shaded triangular region is $$\frac{1}{3}$$ the area of triangular region PQR.

Quantity A

$$\frac{1}{3}$$PR

Quantity B

PS



The sides of the two squares is 4 and 6, respectively. What is the area of the shaded region?

The quadrilateral ABCD is a square, and EFGB is a rectangle, AE=CG

Quantity A

The area of ABCD

Quantity B

The area of EFGB



In square ABCD, the side of each side is 15, If the area of the shaded area accounts for 75% of the total area of the entire square, then what is the value of x?
Give your answer as a decimal.

If the area of △EDC is 12 and BE:EC=3:2, what is the area of trapezoid ADEB?
The area of a square is equal to the area of an equilateral triangle.

Quantity A

The side of the square

Quantity B

The side of the triangle



Line l is parallel with line m, EF=CD, FG=AB.

Quantity A

The area of trapezoid ABCD

Quantity B

The area of △EGH


A circle is inscribed in a square

Quantity A

The area of the circle

Quantity B

One-half of the area of the square


The circumference of a circle is π.

Quantity A

The area of the circle

Quantity B

$$\frac{π}{4}$$



In the figure above, Circle O is tangent to three sides of the rectangle ABCD. BD=l, CD=n, and area of rectangle ABCD is four times of the area of Circle O.

Quantity A

$$\frac{l}{n}$$

Quantity B

$$\frac{π}{2}$$


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