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GED Mathematical Reasoning Practice Test
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The Mathematical Reasoning section of the GED tests your ability to solve algebraic and quantitative problems. The GED Math Test contains 46 questions. Some question types include multiple-choice, drag-and-drop, hot spot, and fill-in-the-blank. The GED Math Test is 115 minutes (1 hour and 55 minutes).

GED Mathematical Reasoning Practice Test
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25 Questions

1. The following figure shows a picture frame for a photo.
image
Jeff has a different photo that he wants to put in the frame. If the wooden border of the frame (shown by the shaded region in the figure) is x inches wide all the way around, which of the following represents the area A of Jeff’s photo (the non-shaded region)?
2. Which of the following rectangular metal boxes can hold the most dice if each die has a volume of one cubic inch and the lid of the box fits tightly?
3. Simplify the following expression: images
4. An isosceles triangle has an obtuse angle equal to 110°. What is the value of each of the other two angles?
5. If 3 out of 8 drivers exceed the speed limit on a given stretch of highway, what is the chance that a speed camera will catch a speeder if it photographs a car at random? Give your answer to the nearest tenth of a percent.
6. image What is the measure of the obtuse angle shown in the figure?
7. The probability that Daryl will pass each of three tests is given in the following table.
Test : Math - English – Chemistry
Probability of passing: 50% - 60% - 80%
What is the probability that Daryl will not pass his chemistry test?
8. If the base of a triangle is 6 inches and its area is 60 square inches, what is the height of the triangle?
9. The figure shows two similar triangles: the smaller triangle has a base length of 8 feet and a height of 5 feet (the height of the boy), whereas the second triangle has a base length of 24 feet and a height equal to that of the tree.How tall is the tree? image
10. A plane has a seating capacity of 160 passengers, 40 in first class and the rest in economy class. The average first-class ticket costs $1,200, and the average ticket in economy class is $400.
The price of each first-class ticket used to be $1,500. What percent decrease does the current price represent?
11. The details of Janet’s paycheck are shown here.
Salary Details
Amount in Dollars
Gross salary $1,012
Federal taxes $234
State taxes $128
Social Security $27
What percentage of her gross salary does Janet pay toward Social Security? Round your answer to the nearest tenth of a percent.
12. The top four runners to finish a 100-meter race had the following times.
Runner - Time (Seconds)
Tom - 10.9192
Kenneth - 11.0021
Rupert - 10.9289
Usain - 10.9191
Based on the above information, which of the following is a true statement?
13. Last season, a soccer team won five times as many games as it lost, with 8 games ending in a draw. If there were 38 games in the season, how many games did the team win?
14. If these two boxes have the same volume, what is the height of the second box?image
15. Eleven fishermen entered a fishing competition to catch as many fish as possible in 1 hour. The median number of fish caught for all 11 fishermen was 4, and the modal score was 3.
The number of fish caught for each of the first 10 fishermen is shown in the following graph.
image
What was the number of fish caught by the 11th fisherman?
16. Observe the following graph.
image
Which of the following is true?
17. Amy invested $500 in a savings account that pays a fixed simple interest rate. After three years, her account balance is $552.50. What percent annual interest did her bank pay?
18. Observe the following graph.
image
What is the equation of the line?
19. Every year, starting on his 10th birthday, Jacob measured the height of a bush in his garden. The results for 5 years are listed in the table.
Age - Height (in inches)
10 - 52
11 - 55
12 - 58
13 - 61
14 – 64
What was the bush’s average height during the five-year period?
20. Simplify the expression: images
21. When an unbalanced force is applied to a body, the acceleration of the body is inversely proportional to its mass. If a force applied to a 5 kg body gives it an acceleration of images, what acceleration would the same force produce when applied to a 15 kg body?
22. Observe the following graph.
image
What is the slope of the line?
23. What is the value of images when images?
24. images is equivalent to which of the following?
25. The test scores of 10 students are listed in the following frequency table.
Score - Number of Students
72 – 1
85 – 3
90 – 4
100 – 2
If the lowest two scores are omitted, what is the new average score? (Round your answer to the nearest whole number)

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