GED Practice Exam 1 Mathematical Reasoning Old
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Categories
- Basic Addition and Subtraction 0%
- Basic Multiplication and Division 0%
- Circles 0%
- Congruence 0%
- Decimal and Fractions 0%
- Equations with One Variable 0%
- Equations with Two Variables 0%
- Factors and Multiples 0%
- Interpreting Categorical and Quantitative Data 0%
- Interpreting Graphics 0%
- Measurement and Dimension 0%
- Multiplication and Division of Fractions 0%
- Polynomials 0%
- Powers Exponents Roots and Radicals 0%
- Ratios Proportions and Percentages 0%
- Similarity Right Triangles and Trigonometry 0%
- Solving Quadratic Equations 0%
- Solving Real World Mathematical Problems 0%
- Standards of Measure 0%
- Statistical Measures 0%
- The Rules of Probability 0%
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Question 1 of 55
1. Question
Category: Basic Addition and SubtractionHow many whole numbers are less than 3 but greater than β3?
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Question 2 of 55
2. Question
Category: Basic Addition and SubtractionWhich number will appear farthest right on a standard number line?
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Question 3 of 55
3. Question
Category: Factors and MultiplesHow many prime numbers are less than 20 but greater than 0?
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Question 4 of 55
4. Question
Category: Factors and MultiplesIf the term of a mobile-phone contract is in multiples of a year, which duration can a customer choose?
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Question 5 of 55
5. Question
Category: Standards of MeasureConvert 15,000 grams to metric tons.
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Question 6 of 55
6. Question
Category: Standards of MeasureConvert 2.5 miles to feet.
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Question 7 of 55
7. Question
Category: Decimal and FractionsWhich decimal is the least?
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Question 8 of 55
8. Question
Category: Decimal and FractionsChange 0.375 to a fraction. Simplify completely.
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Question 9 of 55
9. Question
Category: Multiplication and Division of FractionsMultiply.
\(\frac{3}{16} Β \times \frac{4}{7}\)
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Question 10 of 55
10. Question
Category: Multiplication and Division of FractionsDivide.
\(\frac{8}{9}\div \frac{5}{7}\)
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Question 11 of 55
11. Question
Category: Equations with One VariableSolve the equation for the unknown.
\(\frac{x}{2}+5=8\)
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Question 12 of 55
12. Question
Category: Equations with One VariableSolve the inequality for the unknown.
\(\frac{1}{2} \left( 4x+3 \right) <\frac{3}{4}x+2\)
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Question 13 of 55
13. Question
Category: Equations with Two VariablesSolve the system of equations.
\(-2x+2y=28\\3x+y=-22\)
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Question 14 of 55
14. Question
Category: Equations with Two VariablesSolve the system of equations.
\(y=-3x\\x^2+y^2=20\)
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Question 15 of 55
15. Question
Category: Solving Real World Mathematical ProblemsA person has $250 in a checking account and writes checks for $70, $85, $60, and $100. There is also a fee of $20. What is the balance of the account?
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Question 16 of 55
16. Question
Category: Solving Real World Mathematical ProblemsA small landscaping company mows lawns and has three 5.4βgallon gas cans. One day, the landscapers empty each of the gas cans three times. How many gallons of gas did they use?
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Question 17 of 55
17. Question
Category: Solving Real World Mathematical ProblemsA pair of jeans with tax costs $39.97, and a shirt with tax costs $18.49. What is the amount of change for a pair of jeans and two shirts if playing with a $100 bill?
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Question 18 of 55
18. Question
Category: Solving Quadratic EquationsSolve the equation by any method.
\({2x}^2-70=2\)
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Question 19 of 55
19. Question
Category: Solving Quadratic EquationsSolve the equation by completing the square.
\(x^2-2x-37=0\)
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Question 20 of 55
20. Question
Category: Solving Quadratic EquationsSolve the equation by factoring.
\(x^2-5x-50=0\)
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Question 21 of 55
21. Question
Category: PolynomialsMultiply.
\( \left( 5x-3 \right) \left( 5x+3 \right) \)
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Question 22 of 55
22. Question
Category: PolynomialsPerform the operation.
\(\left( -3x^{2}-2xy+4y^{2} \right) + \left( 5x^{2}+3xy-3y^{2} \right)\)
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Question 23 of 55
23. Question
Category: PolynomialsApply the polynomial identity to rewrite \(x^2+20x+100\).
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Question 24 of 55
24. Question
Category: Ratios Proportions and PercentagesIf 17 widgets failed but the other 1,273 worked properly, what is the failure rate of that widget?
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Question 25 of 55
25. Question
Category: Ratios Proportions and PercentagesWhich is different from the others?
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Question 26 of 55
26. Question
Category: Powers Exponents Roots and RadicalsSimplify.
\( \left( \frac{x^{3}y^{-2}}{x^{-2}y^{3}} \right) ^{5}\)
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Question 27 of 55
27. Question
Category: Powers Exponents Roots and RadicalsOne athlete had a salary of about 3 x 10β· dollars per year and another athlete had a salary of about 2 x 10βΆ dollars per year. How many times larger is the salary of the first athlete?
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Question 28 of 55
28. Question
Category: CongruenceWhat is the intersection of two walls in a room?
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Question 29 of 55
29. Question
Category: CongruenceWhat is the order of rotational symmetry for a parallelogram?
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Question 30 of 55
30. Question
Category: Similarity Right Triangles and TrigonometryA regular hexagon has a side length of 5 inches and an apothem of 2 inches.
Find the area in square inches.Β (Note: A = Β½ ap).
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Question 31 of 55
31. Question
Category: Similarity Right Triangles and TrigonometryA wedge of cheese is in the shape of a right triangular prism. The area of the base is 30 square inches.
What is the height in inches of the cheese if the volume is 150 cubic inches?
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Question 32 of 55
32. Question
Category: Similarity Right Triangles and TrigonometryA box in the shape of a right rectangular prism has dimensions of 6 centimeters by 7 centimeters by 8 centimeters. What is the volume in cubic centimeters?
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Question 33 of 55
33. Question
Category: CirclesA circle has an area of 12 square feet. Find the diameter to the nearest tenth of a foot. Use 3.14 for Ο.
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Question 34 of 55
34. Question
Category: CirclesFind the area in square centimeters of a circle with a diameter of 16 centimeters. Use 3.14 for Ο.
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Question 35 of 55
35. Question
Category: CirclesThe area of a half circle is 48 square centimeters. Find the circumference of the curved portion of the half circle to the nearest tenth of a centimeter. Use 3.14 for Ο.
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Question 36 of 55
36. Question
Category: Measurement and DimensionA rectangular pyramid has a length of 10 inches, a width of 11 inches, and a height of 12 inches. Find the volume in cubic inches.
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Question 37 of 55
37. Question
Category: Measurement and DimensionA basketball has a diameter of 10 inches. What is the volume in cubic inches inside the ball? Use 3.14 for \( \pi \).
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Question 38 of 55
38. Question
Category: Interpreting GraphicsFind the median for the data set:
34, 31, 37, 35, 38, 33, 39, 32, 36, 35, 37, 33
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Question 39 of 55
39. Question
Category: Interpreting GraphicsFind the range for the data set:
34, 45, 27, 29, 36, 60, 52, 48, 41, 65, 44, 50, 64, 58, 47, 31
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Question 40 of 55
40. Question
Category: Interpreting GraphicsFind the mode for the data set:
42, 45, 44, 44, 45, 42, 45, 44, 45, 46, 42, 44, 41, 48, 47, 46, 45, 42, 42, 44
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Question 41 of 55
41. Question
Category: Statistical MeasuresThere is an election at a school where 5 candidates out of 10 will be elected. Which object and results are the most appropriate for a simulation?
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Question 42 of 55
42. Question
Category: Statistical MeasuresA group is conducting a survey at a mall asking shoppers their opinion of the mall. What type of sampling is used?
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Question 43 of 55
43. Question
Category: Statistical MeasuresA doctor wants to study the effects of a lowβfat diet in patients. What would be needed to create an observational study?
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Question 44 of 55
44. Question
Category: The Rules of ProbabilityIf a letter is chosen at random from the word SUBSTITUTE, what is the probability that the letter chosen is βSβ or βTβ?
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Question 45 of 55
45. Question
Category: The Rules of ProbabilityA spinner contains numbers 1β20. What is the probability of spinning a multiple of 3 or a multiple of 5?
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Question 46 of 55
46. Question
Category: Interpreting Categorical and Quantitative DataThe histogram below shows the amount a family spent on groceries during the year. Which statement is true for the histogram?
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Question 47 of 55
47. Question
Category: Basic Multiplication and DivisionWhich statement best describes a remainder in division?
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Question 48 of 55
48. Question
Category: Basic Multiplication and DivisionEvaluate the expression. 15 x (-15)
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Question 49 of 55
49. Question
Category: Interpreting Categorical and Quantitative DataFind the values from the box plot.
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Question 50 of 55
50. Question
Category: Equations with Two VariablesSolve the system of equations by graphing.
\(y=\frac{1}{3} x+2\\y=\frac{2}{3} x+5\)
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Question 51 of 55
51. Question
Category: Powers Exponents Roots and RadicalsSolve \(x^2=81\).
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Question 52 of 55
52. Question
Category: Equations with One VariableSolve the equation for the unknown.
\(a-10=-20\)
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Question 53 of 55
53. Question
Category: CongruenceSelect the right isosceles triangle with the correct lines of symmetry.
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Question 54 of 55
54. Question
Category: Ratios Proportions and PercentagesWhich percent is closest to the ratio 7:3?
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Question 55 of 55
55. Question
Category: Equations with Two VariablesSolve the system of equations.
\(y=-4x-4\\y=-5x-4\)CorrectIncorrect