GED-MATH Free Sample Questions

Ged Section 5 Mathematics Practice Test
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Q1

A local bakery sells two types of cookies: chocolate chip and oatmeal raisin. On a particular day, they sold a total of 240 cookies. The number of chocolate chip cookies sold was 40 more than twice the number of oatmeal raisin cookies sold. How many chocolate chip cookies were sold?

Q2

A circular garden has a diameter of 22 feet. The owner wants to create a concentric circular path 3 feet wide around the garden. What is the area of the path only, in square feet?

Q3

A shipping company uses boxes with the dimensions shown below. They plan to wrap the entire box in brown paper for shipping, with no overlap. What is the minimum amount of paper needed, in square inches, to cover the surface of the box? ```mermaid graph TD subgraph Box Dimensions A[Length: 15 in] --> B(Width: 8 in) B --> C{Height: 10 in} end ```

Q4Multiple answers

The expression (3x - 5)(2x + 7) is a polynomial. Which of the following expressions are equivalent? (Select TWO)

Q5

True or False: For the inequality 15 - 3x > 6, the solution set includes the number 3.

Q6

A small business is analyzing its weekly profit. The company's weekly revenue is modeled by the function R(x) = -2x² + 80x, and its weekly costs are modeled by C(x) = 10x + 150, where x is the number of units sold. The profit function, P(x), is found by subtracting the cost from the revenue, P(x) = R(x) - C(x). The business breaks even when the profit is zero. What is the minimum number of units the company must sell to start making a profit (i.e., for P(x) > 0)?

Q7

A coordinate plane shows two locations: Town A is at (-4, 5) and Town B is at (8, -4). A new cell tower needs to be built exactly halfway between the two towns. What are the coordinates of the cell tower's location?

Q8

The population of a town is 25,000 and is growing at a rate of 3% per year. Which expression represents the town's population after 't' years?

Q9

A scientist is tracking the temperature of a chemical reaction. The initial temperature was -8°C. After 10 minutes, the temperature rose to 27°C. What was the average rate of temperature change per minute?

Q10

A survey of 150 students was conducted to find their favorite type of movie. The results are shown in the pie chart below. How many more students chose Action movies than chose Comedy movies? ```mermaid pie title Favorite Movie Type "Comedy" : 20 "Action" : 32 "Drama" : 18 "Sci-Fi" : 24 "Other" : 6 ```