1.
Marigolds are to be planted inside a circular flower garden so that
there are 4 marigolds per square foot. The circumference of the garden
is 20 feet. If marigolds are available only in packs of 6, how many
packs of 6 flowers are needed?
2.
In the xy-plane, the points with coordinates (0, -5) and (6, -2) lie on line l. Line p contains the point with coordinates (-5, 0) and is perpendicular to line l. What is the x-coordinate of the point where lines l and p intersect?
3.
The line with equation y=7 is graphed on the same xy-plane as the circle with center (4, 5) and radius 3. What are the x-coordinates of the points of intersection of the line and the circle?
4.
The figure above shows a square region divided into four rectangular regions, three of which have areas 5x, 5x, and , respectively. If the area of MNOP is 64, what is the area of square QROS?
5.
The dimensions of a rectangular solid are 3 inches by 4 inches by 5 inches. The length of each edge of the solid is to be increased by 20%. What is the surface area, in square inches, of the new solid?
6.
What is the largest integer, n, for which 297/(3n) is an integer?
7.
How old will Mr. Winkle be p years from now if he was q years old r years ago?
8.
An employee wishes to distribute a total of $35,000 among four of his employees. What is the largest amount an employee will get if the money is distributed among them in the ratio of 1:2:3:4?
9.
Two-fifths of the caps in a box are red, one-fourth are blue, and the rest are green. What is the ratio of the green caps to the blue caps?
10.
Your math marks decreased by 60% from the first quiz to the second quiz. If your marks in the third quiz are identical to those in the first quiz, by what percent did your marks increase from the second to third quiz?
11.
What is the largest of the four consecutive even integers whose sum is 892?
12.
If 6y -- 4z = 47 and y + 11z = 2, what is the average (arithmetic mean) of y and z?
13.
A quiz consists of true and false questions. The ratio of the number of true questions to the number of false questions is 4:3. About what percent of the questions are false?
14.
What is the smallest prime factor of 1,001?
15.
What is z if 2.5% of z equals 75% of 50?
16.
An agent receives a commission of 40 cents for every $50 of business she procures. What percent is the agent's commission?
17.
What is the smallest of four consecutive odd integers whose sum is 968?
18.
A small square region inside a larger square is shaded. The diagonal of the larger square is three times the diagonal of the small square in length. What fraction of the area of the larger square is not shaded?
19.
The arithmetic mean (average) of 3, 5, 7, and y is 100. What is the value of y?
20.
What is 2% of 7%?