# Mathematical Reasoning GED

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 Mathematical Reasoning GED

Section one will cover mathematical reasoning ged ged and consist of around 40 questions dealing with more than 60 skills. The two primary foundations will be quantitative (45 percent) and algebraic problem-solving (55 percent). Problems will require procedural knowledge and fluency.

According to the official GED Test developers, the primary skills that most test-takers are missing include the ability to compute the area and circumference of circles; the perimeter and area of polygons; and the perimeter and area of two-dimensional composite shapes (like circles).

Furthermore, most test-takers in this section struggle to locate points in a coordinate plane; determine slope of a line in a graph, equation or table; and graph two-variable linear equations.

Other missing skill sets for mathematical reasoning ged include:

• Two-step problems
• Basic arithmetic
• Percentage-based problems
• One-variable linear equations
• Linear inequalities in one variable
• Linear expressions as part of word-to-symbol translations
• One- or two-variable linear equations
• One-variable linear equalities
1. Simplify the following using scientific notation:

(8.76 x 109)(6.52 x 10-3)/13.27 x 105

• 4.3 x 101
• 0.43 x 101
• 43 x 10-1
• 43.06 x 10-2

2. Simplify the following using scientific notation:

(83.9 x 1012)(2.87 x 10-3)/3.76 x 102

• 0.6404 x 10-1
• 6.404 x 1018
• 64.04 x 10-1
• 6.404069148 x 108

3. Sort the following fractions in ascending order:

7/8, 9/10, 16/20

• 9/10, 7/8, 16/20
• 7/8, 9/10, 16/20
• 16/20, 7/8, 9/10
• 7/8, 16/20, 9/10

4. Divide these fractions and choose the correct answer from the options listed below.

21/3

• 65/177
• 56/177
• 177/56
• 177/65

5. An investor invests \$2,500 into a mutual fund and earns 5.75% on the principle for each of three years. How much interest has accrued at the end of the period?
• \$413.25
• \$4,132.50
• \$431.25
• \$571.00

6. Use order of operations to solve for the following:

3(4-7)2 10/5
• 29
• 83
• 18,2
• 6
• 5

7. Using order of operations, solve for the following when x=3, y=-3, and z=5:

 -3xy2 - -z3 xz

• 65
• -56
• 248/45
• 245/48

8. Solve for n.

n 28 = -84

• 56
• -56
• 112
• -112

9. Solve using the substitution method.

y = 3x - 2
3x 4y = 22

• x=3
y=5
• x=5
y=3
• x=2
y=4
• x=4
y=2

10. If a class has 10 men and 14 women, what is the ratio of men to the class?
• 10:14
• 14:10
• 14:24
• 10:24

11. If rope costs \$3.20 per yard, or \$0.15 per inch, which is the better deal?

NOTE: 1 yard equals 3 feet equals 36 inches

• 15 cents per inch
• \$3.20 per yard
• Both are the same
• Information provided is not enough to determine an answer

12. Which of the following ratio pairs forms a proportion?
• 3/5=15/26
• 17/20=51/60
• 3/8=65/160
• 4/7=12/28

13. The line connecting points (3,-6) and (-9,2) has slope:
• -2/3
• 2/3
• -8/10
• 8/12

14. A line with the coordinates (7,y) and (-2,-4) has slope 3/4. What is the value of y?
• 2.75
• 6
• -6
• -2.75

15. XY is called a:
• line segment
• line
• ray
• ray segment

16. XY is called a:
• ray
• ray segment
• line
• line segment
• A ray begins at a point and goes on continually in one direction.

17. Solve for b:

a = 14
b = ?
c = 50

• b=44
• b=50
• b=48
• b=-48

18. Two supplementary angles have measures of 9x degrees and 3x degrees. What is the measure of the longer angle?
• 180 degrees
• 45 degrees
• 135 degrees
• 15 degrees

19. Determine the coordinates for the midpoint of a segment with the following endpoints: (12,-8) and (8,-4).
• (-10,6)
• (6,-10)
• (-6,-10)
• (10,-6)

20. A triangle has an area of 110 square inches and a base of 15 inches. Which answer best pinpoints the height?
• 14 inches
• 18 inches
• 18.66 inches
• 14.66 inches

21. A great circle of a sphere lies on its surface and contains its center. What is the circumference of a great circle of a sphere that has a surface area that measures 1,476 square centimeters?

NOTE: Π (or Pi) equals 3.14.

• Approximately 68.1
• 74.5
• 86.1
• 54.7

22. What is the mean of this data set?

8, 47, 13, 17, 26, 32

• 23.83
• 23.79
• 23.62
• 24

23. What is the median of this data set?

17, 42, 53, 97, 102, 82

• 76.5
• 53
• 67.5
• 42

24. There are three books sold in different quantities. A \$10 book sells six copies. A \$5 book sells five copies. A \$2 book sells three copies. What is the median price of all the books sold?
• \$6.50
• \$6.20
• \$5.00
• \$5.25

25. Identify mode for the following data:

2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 9, 9, 9, 11, 11, 13, 12, 9, 9, 9, 2, 7, 7, 7

• 2
• 7
• 11
• 9

26. Solve using the substitution method:

NOTE: Round long decimals to the nearest one hundredth.

y = 3x - 87
3x 2y = 21

• x=-21.67
y=21.99
• x=21.67
y=-21.99
• x=21.67
y=21.99
• x=-21.99
y=-21.67

27. If the product of 6 and an integer, n, is increased by 13, the result is -14. What is the value of n?
• -4.5
• 4.5
• 162
• 148

28. Solve for the positive value of c.

9c2 - 11 = 718

• 6
• 9
• 11
• 4

29. Solve for x:

-5x - 5

• x > -4
• x < -4
• x > 4
• x = -4

30. Solve for x:

-2(5 - 3x) = 12 - 3(5 - x)

• 7/6
• -7/6
• 7/3
• -7/3