Below is another free GED Math practice test. The first 10 questions are designed to be solved without a calculator. Consult the GED formula sheet as needed. Review each GED Math problem and then select the best answer from the choices provided.
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Question 1 of 30
\(77 × 1.7 =\)
Question 2 of 30
Point X is halfway between points A and B . Point Y is halfway between points C and D . What is the distance between point X and point Y ?
Question 3 of 30
\(\sqrt[3]{-8} = \; ?\)
Question 4 of 30
What answer choice shows all values of \(z\) for which the expression is undefined?
\(\dfrac{3z + 2}{-3z(z + 1)(3z + 2)}\)
Question 5 of 30
\(13.02 ÷ 2.1 =\)
Question 6 of 30
Find the greatest common factor of 16, 27, and 20.
Question 7 of 30
What is the value of this numerical expression?
\(\sqrt{6^2 + 8^2}\)
Question 8 of 30
Which expression correctly represents the distance between the two points marked on this number line?
Question 9 of 30
\(8.32 × 3.2 =\)
Question 10 of 30
Arrange the following fractions in order from least to greatest.
\(\dfrac{7}{5} \, \dfrac{15}{4} \, \dfrac{3}{2} \, \dfrac{11}{4} \, \dfrac{13}{3}\)
\(\dfrac{7}{5} \, \dfrac{15}{4} \, \dfrac{3}{2} \, \dfrac{11}{4} \, \dfrac{13}{3}\)
\(\dfrac{7}{5} \, \dfrac{3}{2} \, \dfrac{13}{3} \, \dfrac{11}{4} \, \dfrac{15}{4}\)
\(\dfrac{7}{5} \, \dfrac{3}{2} \, \dfrac{11}{4} \, \dfrac{15}{4} \, \dfrac{13}{3}\)
\(\dfrac{7}{5} \, \dfrac{15}{4} \, \dfrac{11}{4} \, \dfrac{3}{2} \, \dfrac{13}{3}\)
Question 11 of 30
What are the solutions to the following equation?
\(x^2 + 8x + 15 = 0\)
Question 12 of 30
What is the slope of the following line?
\(y = 3x − 7\)
Question 13 of 30
How many different committees of 3 people can be formed by selecting from a group of 5 people?
Question 14 of 30
A beverage manufacturer would like to test the reliability of two processes for manufacturing orange juice and apple cider. A review of the orange juice manufacturing process found that 10% of the bottles are under-filled. A review of the apple cider manufacturing process found that 15% of the bottles are under-filled.
If two bottles are selected at random (one from each process), what is the probability of selecting one under-filled orange juice bottle and one under-filled apple cider bottle?
Question 15 of 30
On April 15, 2025, Jorge buys 10 shares of Bling-Bling Inc. stock at a price of $450 per share. The share price of Bling-Bling increases to $600 on July 15, 2025. What is the percentage increase in the value of Jorge’s shares rounded to the nearest percent?
Question 16 of 30
The bar chart shows the top six pharmaceutical companies in the United States and their sales figures (in millions) for a recent year.
If BMY had a 6.3% share of the total sales of pharmaceuticals in the United States in the given year, what percentage of the total sales did JNJ have in the given year?
Question 17 of 30
\((3x + 4y)(2x + 5y) = \; ?\)
Question 18 of 30
A factory produces 500 smartphones per month. The cost of manufacturing each phone is $200. If the company wants to make a total profit of $10,000 or more on the 500 phones, which of the following inequalities will yield the sales price, \(Y\), at which the factory must sell each phone in order to earn the desired profit?
Question 19 of 30
In the coordinate plane shown, what point represents (−1, 3)?
Question 20 of 30
A rectangle is cut in half to create two squares, each with an area of 25. What is the perimeter of the original rectangle? Type your answer in the box below.
Question 21 of 30
What is the equation of a line that passes through points A (1, 2) and B (4, 3)?
Question 22 of 30
Given \(f(x) = x^2 + 4x − 3\), find \(f(−3)\).
Question 23 of 30
Sofía is driving to Texas. She travels at 70 kilometers per hour for 2 hours and 63 kilometers per hour for 5 hours. Over the 7-hour time period, what was Sofía’s average speed?
Question 24 of 30
44 is 80% of what number?
Question 25 of 30
The graph provided shows the change in velocity of a rocket from hour 0 to hour 10. During what span of time is the rocket’s velocity decreasing?
Question 26 of 30
Solve for \(x\):
\(14.5x − 5(x + 2) ≤ 4 + 4(4 − \frac{1}{8}x)\)
Question 27 of 30
Which of the following represents a function?
Question 28 of 30
Reyansh is interested in reserving a party room for his daughter at the Fun Zone Arcade. The most he can spend is $275. The cost is $21 per child and there is a reservation fee of $40. How many children will be able to attend the party?
Question 29 of 30
Calculate the value of \(x\) for the right triangle shown below.
Question 30 of 30
Researchers studying ocean sediment discover that each fine sediment layer is about \(3.2 \times 10^{-4}\) meters thick. A core sample contains \(4.5 \times 10^{3}\) of these layers stacked vertically.
What is the total thickness of the core sample, to the nearest tenth of a meter? Type your answer in the box below.
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