Today’s SAT Question of the day is a quick and easy math problem. The test makers would like to know how many non-overlapping squares with side length 3 can fit inside a square with side length 6. My favorite way to solve this is with some quick sketches:
Today’s SAT question of the day is a math question about averages.
If Kelly buys t pens priced at 2 dollars each and u pens priced at 4 dollars each…what is the average price, in dollars, of these pens in terms of t and u?
Let’s think back to the general formula for averages: Continue reading
Today’s SAT question of the day is a math question that’s an excellent example for any test taker to review. One brother earns 10 dollars for each lawn he mows, while the other brother gets 3 of those dollars for each lawn with which he helps.
In other words, one brother (d) earns 10 dollar per yard, while the other (t) earns 3 dollars per yard.
Whenever you can find a per statement, you know you can make a ratio…and with two related ratios, we can make a proportion.
Today’s SAT Question of the Day is about a bar chart:
We are asked to find the median number of days spent on business trips for the employees of this company.
Today’s SAT question of the day is a cool math problem about a ladder! Really, it’s kind of fun. The question:
A 25-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on concrete 7 feet from the base of the building. If the top of the ladder slips down 4 feet, then the bottom of the ladder will slide out how many feet?
First, we have to make a sketch of the initial ladder setup:
Here’s today’s SAT question of the day:
The population of Norson, the largest city in Transitania, is 50 percent of the rest of the population of Transitania. The population of Norson is what percent of the entire population of Transitania?
Don’t jump to conclusions and say 50% – let’s think (briefly) first so we arrive at the correct answer. Continue reading
Well, hello. If x = 60 degrees, y = 40 degrees, and those dashed lines are bisectors, what might we say is the value of z?
Quick review: to bisect something is to cut it into two equal parts. In this case, x is cut into 2 30-degree angles and y is cut into 2 20-degree angles. Are we there yet?
Today’s SAT question of the day is a math question about graphing lines. Pay attention, because I have seen this type of question too many times to count!
The question asks us for the equation of a line that is parallel to the x-axis and 4 units above the x-axis. All of the answer choices are x = an integer or y = an integer.
First, let’s figure out if this line is “x = something” or “y = something”. Continue reading
Today’s SAT question of the day is a basic arithmetic question about a florist’s profit.
This florist buys roses for $0.50 each and sells them for $1 each. We need to figure out how many roses must be sold to make a profit of $300.
First, let’s figure out the profit per rose.
Today’s ACT question of the day is an algebra question that’s great practice for either test. The question:
For all x > 0, 
simplifies to:
Let’s knock out the numerator first. Continue reading