Praxis Core Math practice test

A school district used $40\%$ of the $\$5{,}000$ budgeted for new laptops. How much money was actually spent on laptops?

$1$ gallon $= 4$ quarts $= 8$ pints. A container holds $1$ quart of water and $1$ pint of juice. Together, how many gallons is this, expressed as a fraction of a gallon?

Compute $\; 2 \tfrac{1}{2} \div 1 \tfrac{1}{2}$.

Order the following numbers from least to greatest: $0.72,\; 0.705,\; \tfrac{7}{10},\; \tfrac{3}{4}$.

A warehouse is organizing identical widgets. If the widgets are placed in crates of $6$, there are $5$ widgets left over; if they are placed in crates of $5$, there are no widgets left over. Which of the following could be the total number of widgets?

In a blend of nuts, the ratio of almonds to peanuts is $7$ to $2$. If the mixture weighs $189$ pounds in total, how many pounds are almonds?

An architect's blueprint uses a scale where $1$ cm represents $0.5$ meters in actual length. If a wall is drawn as $24$ cm on the blueprint, what is the actual length of the wall in meters?

Adlai typed $6$ pages in $18$ minutes. At this rate, how long will it take them to type $20$ pages? Express your answer in hours.

A student claims the only time the sum of two numbers is even is if you add two even numbers together. Which of the following statements shows that the student's claim is NOT true?

Here is the sequence $2, 10, 50, 250, \dots$. Let $a_n$ represent a term and $a_{n+1}$ the next term. Which equation describes how to find $a_{n+1}$ in terms of $a_n$?

Which of the following is equivalent to $\dfrac{2x}{2} \cdot \dfrac{12}{y}$ if $y \neq 0$?

Out of $40$ employees at a company, $10$ work in sales and $16$ work in marketing. If one employee is picked at random, what is the probability that they do not work in sales or marketing?

Which of the following is greatest?

Let $a_n$ be a sequence with terms $1$, $2$, $3$, $a$, $b$, $c$ where each term after the first two is the sum of the two preceding terms. Find the value of $c$.

At a reading room, $20$ books are on display. If $2$ are biographies and the rest are mystery novels, what fraction of the books are mystery novels?

What is $1\%$ of $200$?

What is the value of $\dfrac{\tfrac{1}{4} + \tfrac{5}{6}}{\tfrac{1}{2}}$? Give your answer as a completely reduced fraction.

Data: $\{5,\ 3,\ 2,\ 7,\ 6,\ 7\}$. How much greater is the mode than the median?

A bowler recorded the following scores in league play: $133, 141, 142, 124, 160, 127$. What is the median score?

At a school, $25$ students signed up for Art class and $49$ students signed up for Music class. If $6$ students signed up for both Art class and Music class, how many different students signed up for at least one of the two classes?

A jar has only orange and purple marbles. The probability of pulling out an orange marble at random is $\tfrac{1}{3}$. If the jar holds $12$ marbles in total, how many of them are purple?

The dotplot below shows the test scores for $35$ students in class. Which of the following circle graphs best represents the data?

According to the bar graph below, on which date in May were the most absences recorded?

The circle graph shows the distribution of the Bennett family's monthly expenses of $\$3{,}000$. For how many of the five expense categories was the monthly spending less than $\$442$?

A student's scores on $4$ of their $5$ biology tests are $75$, $75$, $94$, $79$. If the student's average (arithmetic mean) score for all $5$ tests is exactly $82$, what was their score on the fifth test?

The scatterplot shows a line of best fit for the number of science fair participants over time. Which type of correlation best describes the relationship between years after $2010$ and number of participants?

A town surveyed $750$ residents about whether they use the public gym and the community pool. The results are summarized below.

If the town has $52{,}000$ residents, what is the most reasonable estimate for the number who use both the public gym and the community pool?

The trend line for the scatterplot below is approximately $y \approx 7.10x + 42.52$. Using this model, what is the predicted test score for a student who studies $2$ hours?

The table summarizes club membership at a school of $90$ students.

If one student is chosen at random, what is $P(\text{Drama}\cup 11\text{th grade})$?

A jar has $3$ red, $3$ blue, and $8$ green marbles. You draw one marble, replace it, then draw a second marble. What is the probability that the first marble is blue and the second is green?

A phone maker tests a random sample of $200$ screens and finds $5$ with visible scratches. If the next production batch has $20{,}000$ screens, what is the most reasonable estimate for the number that will have scratches?

The scatterplot shows each player’s jersey number ($x$) and the distance covered in a match in kilometers ($y$) for $28$ players on a soccer team. Which statement best describes the relationship between jersey number and distance covered?

A scatterplot shows the number of smartphones sold, $y$ (in thousands), $x$ years after $2016$. The trend line passes near $(0,1500)$ and $(10,1000)$, indicating a steady decline. Which of the following could be the equation of the trend line?

Consider the data set $\{5,\,5,\,7,\,9,\,14,\,21,\,34\}$. Every value is transformed by $y = 4x + 4$. What is the new mean?

According to the "Backpack weight vs hiking time" scatterplot, each increase of $3$ pounds in backpack weight tends to change a hiker's time by approximately how many minutes?

What is the median number of pizzas sold per shift?

Table: Pizzas sold per shift at a food truck (over $40$ evening shifts)

A rental shop charges a flat fee of $\$30$ to rent a kayak plus $\$5$ per hour of use. If Amory rented a kayak and was charged $\$60$ total, how many hours did they use a kayak?

Adlai is calculating how much money they will spend at a concert. The price of a ticket is $\$105$, they are buying $2$ tickets, the distance to the venue is $30$ miles, the parking fee is $\$20$, and the food cost is $\$10$. Which combination of numbers is needed to calculate Adlai's total cost for attending a concert?

An aquarium is in the shape of a rectangular prism with length $20 \,\text{in}$, width $12 \,\text{in}$, and height $28 \,\text{in}$. A bucket shaped like a cylinder has a radius of $4 \,\text{in}$ and a height of $12 \,\text{in}$. About how many buckets of water are needed to completely fill the aquarium? (Use $\pi \approx 3.14$)

The table shows an electrician's old and new pricing.

According to the table, how much more would a customer pay at the new rates for a diagnostic followed by $1.5$ hours of labor than at the old rates?

If $\dfrac{36}{0.9}=\dfrac{p}{1.2}$, what is the value of $p$?

Input positive integers $a$ and $b$. If $a+b$ is prime, let $z=(a+b)^2$; otherwise, let $z=(2a-b)^2$. For $a=4$ and $b=3$, what is $z$?

$4-2(2x-1)=2x+9$, what is the value of $x$?

For a school event, adult wristbands cost $\$20$ each and youth wristbands cost $\$15$ each. The treasurer spent exactly $\$85$ on these items. If $x$ is the number of youth wristbands purchased, which expression gives the number of adult wristbands purchased?

Two linked quantities satisfy $2p-2q=29$, and a score is computed as $t=2p+2q$. Suppose $q$ is raised by $1$ while the rule $2p-2q=29$ must still hold. What are the resulting changes in $p$ and $t$?

A traveler flies $180$ miles at an average of $180$ mph and then rides a car $6$ miles at $24$ mph to the hotel. How long is the trip from takeoff to arrival?

The shape below has straight length $x=60\text{ ft}$ and semicircle diameter $y=20\text{ ft}$. What is the total distance around the outside (perimeter)?

Two triangles have side lengths $\triangle ABC:\ \{6,\,8,\,10\}$ and $\triangle DEF:\ \{9,\,12,\,15\}$. Are the triangles similar?

Let $x=16\ \text{in},\ y=12\ \text{in},\ z=6\ \text{in}$. What is the area of the rectangle not covered by the circle?

In $\triangle ABC$, the sides are labeled $AC=q$, $BC=p$, and $AB=r$. If $p=3x-7$ and $q=2x-4$ and it is known that $\triangle ABC$ is isosceles such that $AC=BC$, what is $x$?

In $\triangle ABC$, let $\angle B=30^\circ$ and $\angle C=41^\circ$. In $\triangle DEF$, suppose $\angle E$ is congruent to $\angle B$ and $\angle D=83^\circ$. What is $\angle F$?

Using the parallelogram diagram, suppose $\angle B=40^\circ$. What is $\angle D$?

In the cross-shaped figure (made of five congruent squares) with unit side labeled $x$, let $x=3\text{ cm}$. What is the total perimeter of the black-outlined figure?