GED Mathematical Reasoning

In the GED Math section, the two major content areas are quantitative problem solving (45%) and algebraic problem solving (55%).

As of Friday, February 21, 2014, the standard time allowance on the GED® test - Mathematical Reasoning was increased by 25 minutes.
The time allowance for GED Ready™ - Mathematical Reasoning was also increased by 13 minutes.

Students preparing for the Mathematical Reasoning exam should be able to complete the following processes . If you choose to tutor in this area, you should be comfortable with most (if not all) of the following skills.

Skill Area 1: Quantitative Problem-Solving with Rational Numbers

  • Place fractions and decimals in order, including when using a number line
  • Simplify numerical expressions with rational exponents
  • Identify the absolute value of a rational number as its distance from 0 on the number line and find the distance between two rational numbers on the number line
  • Write and compute with numerical expressions with squares, square roots, cubes, and cube roots of positive rational numbers
  • Solve two-step arithmetic real-world problems that involve ratios, proportions, and percents

Skill Area 2: Quantitative Problem-Solving in Measurement

  • Compute the area and perimeter of various shapes: triangles, rectangles, polygons, and composite figures
  • Find the side lengths of triangles, rectangles, and polygons when given the area or perimeter
  • Compute the area and circumferences of circles and find the radius or diameter when given the area or circumference
  • Use the Pythagorean theorem to determine unknown side lengths in a right triangle
  • Compute volume and surface area of right prisms and pyramids, cylinders, spheres, cones, and composite figures
  • Solve for height, radius, diameter, or side lengths of cylinders, cones, and right pyramids, when given the volume or surface area
  • Represent, display, and interpret categorical data in bar graphs, circle graphs, dot plots, histograms, box plots, tables, and scatter plots
  • Calculate the mean, median, mode, range, and weighted average, and calculate a missing data value, given the average and all the missing data values but one

Skill Area 3: Algebraic Problem-Solving with Expressions & Equations

  • Compute with linear expressions
  • Evaluate linear, polynomial, and rational expressions
  • Create quadratic equations and linear expressions, equations, and inequalities with written descriptions you have been given
  • Compute with and factor polynomials
  • Compute with rational expressions
  • Solve algebraic and real-world problems that involve linear equations
  • Solve algebraic and real-world problems that involve a system of two linear equations
  • Solve arithmetic and real-world problems with inequalities and graph solutions on a number line
  • Solve quadratic equations in one variable

Skill Area 4: Algebraic Problem-Solving with Graphs & Functions

  • Locate points and graph linear equations on the coordinate plane
  • Find the slope of a line from a graph, equation, or table
  • Understand that a unit rate is equivalent to slope in a proportional relationship
  • For a linear or nonlinear relationship, sketch graphs and interpret key features of graphs and tables in terms of quantities
  • Write the equation of a line with a given slope through a given point
  • Write the equation of a line passing through two given distinct points
  • Use slope to identify parallel and perpendicular lines, and to solve geometric problems
  • Compare two different proportional relationships OR two linear and quadratic functions when each is represented in different ways
  • Using a table or graph, represent or identify a function as having exactly one output for each input
  • Evaluate linear and quadratic functions

GED Math Practice Problem and Answers

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