Practice Test 4 - GED Math

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

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1. A teacher calculates that the mean score on a 25-question quiz is 18.4 points for her class of 20 students. If she discovers that one student's score was incorrectly recorded as 16 when it should have been 22, what will be the new mean score after the correction?
2. The chart below displays ticket pricing at a theater: adult tickets cost $12 and child tickets cost $8. On a certain night, the theater sold a total of $200$ tickets for total revenue of $\$2{,}120$. Use the chart to find how many MORE adult tickets than child tickets were sold.
3. A cylindrical water tank has a radius of 4 feet and a height of 12 feet. If the tank is currently filled to 75% of its capacity, how many cubic feet of water need to be added to fill it completely?
4. The scatterplot below shows the number of hours 15 employees spent in a training program (x) and the number of errors they made per week afterward (y). Based on the scatterplot shown, which of the following is closest to the slope of the line of best fit?
5. The temperature conversion from Fahrenheit $F$ to Celsius $C$ is $C = \frac{5}{9}(F - 32)$. The conversion from Celsius $C$ to Kelvin $K$ is $K = C + 273.15$. A substance is kept at a temperature of $T$ degrees Fahrenheit. A chemical reaction causes its temperature to drop to a new temperature that is half the original value, also in degrees Fahrenheit. Which expression represents the final temperature in Kelvin?
6. The function $p(x) = 2x + 3$ represents the price in dollars for $x$ items. The function $q(x) = x - 1$ represents the quantity sold when the price is $x$ dollars. What is the revenue when $x = 4$ items are purchased?
7. The Venn diagram shown describes a class of 40 students. One student is selected at random. Based on the Venn diagram, what is the probability that the student takes Spanish but not French, given that the student takes at least one of the two languages?
8. Refer to the figure. A cylindrical candle has a diameter of $8$ cm and a height of $15$ cm. A wax manufacturer wants to wrap the curved (lateral) surface and the top circular face of each candle with a decorative film. How many square centimeters of film are needed per candle? (Use $\pi\approx 3.14$.)
9. The line shown in the coordinate plane passes through points $A$ and $B$. Based on the graph below, which equation represents a line perpendicular to the line shown and passing through the point $(6, -1)$?
10. Refer to the table below. A student's current scores on 5 quizzes are shown. The student will take one more quiz. What score must the student earn on the 6th quiz so that the mean of all 6 quizzes equals 85?
11. A cell phone plan includes 4 GB of data for a flat $45 each month. Additional data use costs $10 per gigabyte. If a customer uses $g$ gigabytes above the included 4 GB, which equation gives the monthly cost $C$?
12. The table shows values of a quadratic function $f(x)$. What is the value of $f(x)$ at its vertex?
13. The surface area of a rectangular box with length $l$, width $w$, and height $h$ is given by $2(lw + lh + wh)$. If the width is 3 units less than the length, and the height is twice the width, which expression represents the surface area in terms of length $l$ only?
14. A plumber charges a service call fee plus an hourly rate. After working 3 hours, the total cost is $185. After working 7 hours, the total cost is $305. If the plumber worked for 5.5 hours, what would be the total cost?
15. A cone-shaped paper cup has a radius of $5\text{ cm}$ and a height of $9\text{ cm}$. How many cubic centimeters of water can the cup hold when filled to the brim? (Use $\pi=3.14$.)
16. A jar contains 5 red balls, 4 blue balls, and 3 yellow balls. If you draw 3 balls without replacement, what is the probability that you get exactly one ball of each color?
17. Refer to the histogram below. Which interval contains the greatest number of households based on their monthly electricity usage?
18. The cost of producing $n$ items is given by $C(n) = 50n + 1200$. The revenue from selling $n$ items is $R(n) = 80n$. Which expression represents the profit when $n$ items are produced and sold?
19. How many vans are in the fleet?
20. A jar contains 6 red, 4 blue, and 5 green jelly beans. If one jelly bean is selected at random, what is the probability that it is either red or green?

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