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

page revision: 6, last edited: 29 Jun 2016 20:31