Kacper invested $200 at 6% compounded annually. Aiyana invested $500 at 2% compounded annually. How much greater will the total interest earned on Kacper’s investment be in 2 years?

Ms. Li must choose a passcode for her bank account. The passcode is to consist of 4 different digits from 0 to 9 inclusive except the first digit must be odd. How many different combinations for the passcode are there?

A store assigns ID numbers to each product it sells. Each ID number consists of 5 digits from 0 to 9, inclusive. Digits in the ID number can be repeated, but the first digit cannot be 0. How many different combinations for the ID numbers are there?

If , what is the value of ?

The ratio of plants Keisha has to plants Sawyer has is 1:5. After Sawyer gives Keisha 5 plants, the ratio of plants Keisha has to plants Sawyer has will be 2:7. How many more plants will Sawyer have than Keisha after the 5 plants are given?

If is the sum of odd integers from to , inclusive and is the number of odd integers from  to , inclusive, what is ?

Jamel, Sai, and Zane ran a total of kilometers today. If Jamel ran half as many kilometers as Sai and times the kilometers as Zane, how many more kilometers did Sai run than Zane?

What is the greatest prime factor of ?

If , , and are constants, where , and for all numbers :

What is the value of ?

In the figure above, the point is the center of the circle and . What is the value of ?

A list of measurements, in increasing order, is:

If the median of the measurements is times the mean, what is the value of ?

Is to the left of on the number line?

(1) is to the left of on the number line.

(2) is between and on the number line.

Is to the right of on the number line?

(1) is nonnegative.

(2) is to the right of .

Columnist: The Hoopton municipal water treatment plant recently discovered a major problem with the adsorptive medium used in its treatment process. This medium helps remove iron and manganese from drinking water, but during the time that this part of the treatment process was not functional, residents suffered no adverse health effects. The insignificant outcome of this supposed disaster suggests that the presence of these minerals in drinking water is not as detrimental as watchdog groups would have us believe.

Which of the following, if true, would most seriously weaken the columnist’s argument?

Carbon nanotubes are microscopic carbon pipes that are at least 100 times stronger than steel, but one-sixth as light. FlyFar plans to use carbon nanotubes to design a plane that will be able to travel longer distances without refueling than any other plane currently on the market. However, to incorporate this plane into their fleets, airliners would have to rearrange all their existing routes, which would prove extremely expensive.

Which of the following, if true, provides the strongest grounds for a prediction that airliners will purchase FlyFar’s new plane despite the massive logistical burden doing so would create?

Geese initially begin moving from north to south, because that way is the direction that warm weather in the winter lies, but they then return to northern latitudes in the summer, seemingly driven by some instinctual consciousness before repeating the process, year after year.

Although he is considered by his biographers to be the more original inventor than his rival, subsequently Nikola Tesla’s reputation was overpowered by his public persona.

Tissue samples taken from the fossilized skeleton of an unidentified organism twice the size of a modern elephant has been tested to be 200 million years old and therefore is evidence that the temporal distribution of megafauna was much wider than previously believed.

By the beginning of the 130s CE, the childless emperor Hadrian was searching for a successor—someone not only who would maintain the policies of his successful reign, but mimicking his grandiose governing style so as to continue the state reforms he had begun during the course of his rule.