Practice Test 2 - SSAT Upper Level Quantitative

20 questions. Answer them in any order, then submit to see your score and every explanation.

A sequence begins: $2, 7, 17, 32, 52, \ldots$ If this pattern continues, which expression represents the $n$ th term for $n \geq 3$ ?
If $4x - (x + 3) = 6 + (x - 3)$ , then $x^2 + x$ equals:
A rectangular swimming pool is 20 feet long, 15 feet wide, and has a uniform depth of 8 feet. The pool is currently filled to 75% of its capacity. How many cubic feet of water must be added to fill the pool to 90% of its capacity?
A fabric store sells ribbon by the yard, but a craft project requires 180 centimeters of ribbon. If ribbon costs $2.40 per yard, what is the minimum cost to buy enough ribbon? (1 inch = 2.54 centimeters, 1 yard = 36 inches)
A recipe calls for 2.5 cups of flour to make 12 cookies. If Jennifer wants to make 30 cookies and flour costs $0.08 per cup, how much will she spend on flour? Round to the nearest cent.
A data set has 10 values with a mean of 50. If each value in the data set is increased by 20%, what is the new mean?
Which value is between 0.44 and 4/9?
What is the value of $(-3)^2 \cdot 2 - 4 \cdot 3 + \frac{24}{-6 + 2}$ ?
Three students calculated the same expression and got $\frac{7}{12}$ , $58\frac{1}{3}\%$ , and $0.583\overline{3}$ . How many of these answers are correct?
In a certain game, a player wins if they roll a sum of 7 or 11 with two dice, and loses if they roll a sum of 2, 3, or 12. For any other sum, they continue rolling until they either roll their initial sum again (win) or roll a 7 (lose). If a player's first roll is a sum of 8, what is the probability they will eventually win the game?
A subscription service offers two plans: Plan A costs $12 per month, and Plan B costs $8 per month plus $0.50 for each hour of usage. Which equation could be used to find the number of hours of usage, $h$ , in a month for which Plan B would cost the same as Plan A?
A water tank is being filled by two pipes simultaneously. Pipe A fills the tank at 12 gallons per minute, while Pipe B fills it at 8 gallons per minute. After 15 minutes, Pipe A is shut off and only Pipe B continues filling. If the total time to fill the 400-gallon tank is 25 minutes, how many gallons were in the tank initially?
The price of gasoline increased by $12\%$ in January, decreased by $8\%$ in February, then increased by $5\%$ in March. If the price at the end of March is $3.36 per gallon, what was the price at the beginning of January, to the nearest cent?
The expression $\frac{(3^2)^x \cdot 3^{-x}}{3^{x-1}}$ simplifies to:
The equation $|2x - 6| = 4x - 10$ has how many solutions?
If $\frac{5}{8}$ of a number is equal to $125\%$ of $0.4$ , what percent of this number is $\frac{2}{5}$ ?
If $\frac{2x+1}{3}=x-3$ , what is $x$ ?
A rhombus has diagonals of length 16 cm and 12 cm. What is the area of the rhombus?
A manufacturer produces metal cubes and then drills a cylindrical hole completely through each cube from one face to the opposite face. If the cube has side length 10 cm and the cylindrical hole has radius 3 cm, what is the volume of metal remaining in each cube?
A multiple choice test has 10 questions, each with 4 answer choices. If a student randomly guesses on each question, what is the probability that they get exactly 3 questions correct?

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