|
OG16 OG17 OG18 OG19 OG20 OG2022
|
A certain investment earned a fixed rate of 4 percent interest per year, compounded annually, for five years. The interest earned for the third year of the investment was how many dollars greater than that for the first year?(1) The amount of the investment at the beginning of the second year was $4,160.00.(2) The amount of the investment at the beginning of the third year was $4,326.40.
|
|
OG15 OG16 OG17 OG18
|
On a recent trip, Mary drove 50 miles. What was the average speed at which she drove the 50 miles?(1) She drove 30 miles at an average speed of 60 miles per hour and then drove the remaining 20 miles at an average speed of 50 miles per hour.(2) She drove a total of 54 minutes.
|
|
OG17 OG18 OG19 OG20 OG2022
|
What is the value of t ?(1) s + t = 6 + s(2) $${t}^{3}$$ = 216
|
|
OG16 OG17 OG18 OG19 OG20 OG2022
|
For a certain car repair, the total charge consisted of a charge for parts, a charge for labor, and a 6 percent sales tax on both the charge for parts and the charge for labor. If the charge for parts, excluding sales tax, was $50.00, what was the total charge for the repair?(1) The sales tax on the charge for labor was $9.60.(2) The total sales tax was $12.60.
|
|
OG17 OG18 OG19 OG20 OG2022
|
George has a total of B books in his library, 25 of which are hardcover fiction books. What is the value of B ?(1) 40 of the B books are fiction and the rest are nonfiction.(2) 60 of the B books are hardcovers and the rest are paperbacks.
|
|
OG17 OG18 OG19 OG20 OG2022
|
Is w + $${h}^{4}$$ positive?(1) h is positive.(2) w is positive.
|
|
OG15 OG16 OG17 OG18
|
In Mr, Smith's class, what is the ratio of the number of boys to the number of girls?(1) There are 3 times as many girls as boys in Mr. Smith's class.(2) The number of boys is 1/4 of the total number of boys and girls in Mr. Smith's class
|
|
OG15 OG16 OG17 OG18
|
If the sequence S has 300 terms, what is the 293rd term of S?(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.(2) The first term of S is -22.
|
|
OG17 OG18 OG19 OG20 OG2022
|
In each of the last five years, Company K donated p percent of its annual profits to a certain scholarship fund. Did Company K donate more than $10,000 to the scholarship fund last year?(1) Two years ago, Company K had annual profits of $3 million and donated $15,000 to the scholarship fund.(2) Last year, Company K had annual profits of $2.5 million.
|
|
OG17 OG18 OG19 OG20 OG2022
|
A, B, C and D are points on a line. If C is the midpoint of line segment AB and if D is the midpoint of line segment CB, is the length of line segment DB greater than 5?(1) The length of line segment AC is greater than 8.(2) The length of line segment CD is greater than 6.
|
|
OG17 OG18 OG19 OG20 OG2022
|
The only articles of clothing in a certain closet are shirts, dresses, and jacket. The ratio of the number of shirts to the number of dresses to jackets in the closet is 9:4:5, respectively. If there are more than 7 dresses in the closet, what is the total number of articles of clothing in the closet?(1) The total number of shirts and jackets inthe closet is less than 30.(2) The total number of shirts and dresses in the closet is 26.
|
|
OG17 OG16 OG18 OG19 OG20 OG2022
|
Square ABCD is inscribed in circle O. What is the area of square region ABCD?(1) The area of circular region O is 64π.(2) The circumference of circle O is 16π.
|
|
OG16 OG17 OG18 OG19 OG20 OG2022
|
Lines k and m are parallel to each other. Is the slope of line k positive?(1)Line k passes through the point (3, 2).(2)Line m passes through the point (-3, 2).
|
|
OG17 OG18 OG19 OG20 OG2022
|
In cross section, a tunnel that carries one lane of one-way traffic is a semicircle with radius 4.2 m. Is the tunnel large enough to accommodate the truck that is approaching the entrance to the tunnel?(1) The maximum width of the truck is 2.4 m.(2) The maximum height of the truck is 4 m.
|
|
OG15 OG16 OG17 OG18
|
On a certain date, Hannah invested $5,000 at x percent simple annual interest and a different amount at y percent simple annual interest. What amount did Hannah invest at y percent simple annual interest?(1)The total amount of interest earned by Hannah`s due investments in one year was $900.(2)Hannah invested the $5,000 at 6 percent simple annual interest.
|
|
OG16 OG17 OG18 OG19 OG20 OG2022
|
Do at least 60 percent of the students in Pat`s class walk to school?(1) At least 60 percent of the female students in Pat`s class walk to school.(2) The number of students in Pat`s class who walk to school is twice the number of students who do not walk to school.
|
|
OG12 OG15 OG16 OG17 OG18
|
The profit from the sale of a certain appliance increases, though not proportionally, with the number of units sold. Did the profit exceed $4 million on sales of 380,000 units?(1)The profit exceeded $2 million on sales of 200,000 units.(2)The profit exceeded $5 million on sales of 350,000 units.
|
|
OG12 OG15 OG16 OG17 OG18
|
If n is an integer, is n even?(1)$$n^2 - 1$$ is an odd integer.(2)3n + 4 is an even integer.
|
|
OG12 OG15 OG16 OG17 OG18
|
Carmen currently works 30 hours per week at her part-time job. If her gross hourly wage were to increase by $1.50, how many fewer hours could she work per week and still earn the same gross weekly pay as before the increase?(1)Her gross weekly pay is currently $225.00.(2)An increase of $1.50 would represent an increase of 20 percent of her current gross hourly wage.
|
|
OG16 OG17 OG18
|
If a and b are positive integers, is $$\frac{a}{b}$$ < $$\frac{9}{11}$$ ?(1) $$\frac{a}{b}$$ < 0.818(2) $$\frac{b}{a}$$ > 1.223
|