This GED Math study guide walks you through exactly what appears on the Mathematical Reasoning test, which topics deserve most of your study time, and how to prepare step by step. Math is the subject most test takers worry about, so a clear plan matters more here than anywhere else.
The team at GED Prep built this guide around the current test format, and it pairs naturally with the practice questions. You will learn the test structure, the four content areas, the question formats, and a topic-by-topic study approach you can start today.
What is on the GED Math test?
The GED Math test, officially called Mathematical Reasoning, is a single 115-minute exam with about 46 questions. It covers four content areas: basic math, geometry, basic algebra, and graphs and functions. You need at least 145 points on the 100 to 200 scoring scale to pass, according to the official GED Testing Service guidelines.
There is no penalty for wrong answers, so you should respond to every question. In practice, this means making a strategic guess on hard questions instead of leaving them blank, because a blank answer earns zero points every time.
GED Math topics at a glance
Roughly 45 percent of the test focuses on quantitative problem solving, and about 55 percent focuses on algebraic problem solving. In plain terms, algebra carries slightly more weight than arithmetic and geometry combined, which surprises many test takers who expect mostly basic calculations.
|
Content area |
What it includes |
|---|---|
|
Basic math and number operations |
Fractions, decimals, percentages, ratios, exponents |
|
Geometry |
Area, perimeter, volume, surface area, Pythagorean theorem |
|
Basic algebra |
Linear equations, inequalities, expressions, word problems |
|
Graphs and functions |
Slope, coordinate plane, function tables, data displays |
Use this breakdown to set priorities. If your time is limited, algebra and number sense give you the biggest scoring return, while geometry questions lean heavily on the formula sheet you receive during the exam.
GED Math question formats
Most questions are multiple choice with four answer options, but the test also uses several technology-enhanced formats. Knowing them in advance prevents wasted time on test day.
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Multiple choice: the majority of questions, with one correct option out of four
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Fill in the blank: you type a numeric answer with no options to choose from
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Drag and drop: you move numbers or expressions into the correct positions
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Drop-down: you select answers from menus embedded inside a sentence
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Hot spot: you click a location on a graph or number line
Fill-in-the-blank questions often feel harder because you must calculate and enter the answer yourself instead of choosing from multiple options. There are no answer choices to eliminate or use as hints, so accuracy is especially important.
The best way to prepare is by practicing every question format under realistic testing conditions. Using a GED-style exam simulator helps you become familiar with fill-in-the-blank, drag-and-drop, drop-down, and hot-spot questions, so you spend less time figuring out the interface and more time solving the problems on test day.
Calculator and non-calculator questions
The GED Math test is divided into two calculator sections. Knowing exactly when you can and cannot use a calculator helps you build the right study strategy.
Without a calculator (first 5 questions): You must solve the first five questions using mental math or handwritten calculations only. These questions commonly test:
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Whole numbers and basic operations
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Fractions and decimals
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Order of operations
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Percentages
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Ratios and proportions
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Greatest common factor (GCF)
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Least common multiple (LCM)
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Basic exponents and square roots
Because you cannot rely on a calculator, practice solving these problems quickly and accurately by hand.
With the TI-30XS MultiView calculator (remaining questions): After you submit the first section, the on-screen TI-30XS MultiView calculator becomes available for the rest of the exam. It is especially useful for questions involving:
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Multi-step calculations
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Fractions and decimal conversions
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Exponents and square roots
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Geometry calculations
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Statistics
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Word problems with several calculations
Although a calculator is available, you still need to know which formula or operation to use. The calculator speeds up arithmetic, but it cannot tell you how to solve the problem.
Formula sheet access
You receive an on-screen GED Math formula sheet throughout the entire exam, including the non-calculator section. Instead of memorizing every geometry or algebra formula, spend your study time learning when to use each one and where it is located on the sheet.
The official GED Math formula sheet includes formulas for:
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Area formulas: square, rectangle, parallelogram, triangle, trapezoid, circle
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Perimeter and circumference: perimeter of a square, rectangle, and triangle, circumference of a circle
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Surface area and volume: rectangular prism, right prism, cylinder, pyramid, cone, sphere
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Statistics: mean (average), median
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Coordinate geometry: slope of a line, slope-intercept form (y = mx + b), point-slope form
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Algebra: Standard form of a quadratic equation, quadratic formula
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Other commonly used formulas: Pythagorean theorem, simple interest, distance formula (distance = rate × time), total cost (units × price per unit)
The formula sheet does not include everything you'll need on test day. You should still memorize topics such as:
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Order of operations (PEMDAS)
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Exponent rules
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Fraction operations
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Percent calculations and percent change
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Integer rules
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Basic algebra procedures, such as solving linear equations
Practice using the official formula sheet during your study sessions so you can locate formulas
GED Math study guide by topic
Before studying each topic, take a GED diagnostic test to identify your current skill level and the areas that need the most improvement. Then work through the four content areas in order: number sense, algebra, geometry, and finally graphs and data, since each skill builds on the previous one.
Whole numbers and basic operations
Whole numbers and basic operations are the foundation of the GED Math test. Although these questions look simple, they often appear inside word problems that require several steps rather than straightforward calculations. Being comfortable with addition, subtraction, multiplication, and division helps you work faster on more advanced topics like algebra and geometry.
You should also be able to estimate answers before calculating. Estimation is a useful way to catch mistakes and quickly eliminate unreasonable answer choices on multiple-choice questions.
Example:
A warehouse receives 245 boxes on Monday, 318 on Tuesday, and ships out 187 boxes on Wednesday. How many boxes remain?
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Total received: 245 + 318 = 563
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Remaining: 563 - 187 = 376
Answer: 376 boxes
Order of operations
Many GED Math questions involve expressions with multiple operations. Following the correct order of operations prevents calculation errors, especially when parentheses and exponents are involved.
Remember the order:
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Parentheses
-
Exponents
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Multiplication and Division (left to right)
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Addition and Subtraction (left to right)
A common mistake is adding before multiplying. Always simplify the expression one step at a time instead of trying to do everything mentally.
Example:
Evaluate:
8 + 4 × 3
Multiply first:
4 × 3 = 12
Then add:
8 + 12 = 20
Not 36.
Fractions and mixed numbers
Fractions appear throughout the GED test, especially in measurement, ratios, percentages, and algebra. You should know how to simplify fractions, convert mixed numbers to improper fractions, and perform all four operations.
Many students lose points because they forget to find a common denominator before adding or subtracting fractions. Reducing your final answer to the lowest terms is also important.
Example:
Find a common denominator of 6:
Answer:
Decimals
Decimals are tested in shopping, finance, measurements, and scientific data. You should know how to add, subtract, multiply, divide, and compare decimal numbers accurately.
When multiplying decimals, first ignore the decimal points, multiply normally, then place the decimal back into the answer by counting the total number of decimal places.
Example 1:
A notebook costs $4.75.
You buy 3 notebooks.
4.75 × 3 = 14.25
Answer: $14.25
Another common task is comparing decimals.
Example 2:
Which is greater?
0.65 or 0.605
Rewrite as:
0.650 vs 0.605
Answer: 0.65
Percentages
Percent problems are among the most common questions on the GED Math test because they model everyday situations like discounts, tax, interest, and score changes.
Make sure you can calculate:
-
Finding a percentage of a number
-
Finding the original value
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Percentage increase
-
Percentage decrease
Example 1:
Find 25% of 80.
Convert 25% to 0.25.
80 × 0.25 = 20
Answer: 20
Example 2:
A jacket originally costs $120 and is on sale for 25% off.
Discount:
120 × 0.25 = 30
Final price:
120 - 30 = $90
Answer: $90
Exponents, roots, and scientific notation
Exponents and square roots appear regularly in both quantitative and algebra questions. You should know how exponents represent repeated multiplication, how square roots undo squaring, and how to estimate roots when a perfect square is not given. Scientific notation is mainly used for very large or very small numbers.
Common skills include:
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Evaluating powers and roots
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Applying exponent rules
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Converting between standard form and scientific notation
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Comparing numbers written in scientific notation
Example 1:
Evaluate:
Solution: 3 × 3 × 3 × 3 = 81
Example 2:
Convert 0.00045 to scientific notation.
Answer:
A common mistake is confusing negative exponents with negative numbers. Remember that a negative exponent simply means "move the decimal point in the opposite direction.
Algebraic expressions
An algebraic expression combines numbers, variables, and mathematical operations. Unlike equations, expressions do not contain an equal sign. Many GED questions ask you to simplify expressions or substitute values for variables.
Focus on learning how to:
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Combine like terms
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Apply the distributive property
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Factor simple expressions
-
Evaluate expressions after substituting numbers
Example 1:
Simplify:
5x + 3x - 4
Solution:
8x - 4
Example 2:
If
x = 4
Evaluate
3x + 5
Answer:
3(4) + 5 = 17
Practice identifying like terms before combining them. Variables must match exactly before they can be added or subtracted.
Linear equations
Linear equations make up one of the largest portions of the GED Math test. Your goal is to isolate the variable by performing the same operation on both sides of the equation.
Typical questions involve:
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One-step equations
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Two-step equations
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Multi-step equations
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Word problems
Example 1:
Solve:
2x + 5 = 17
Subtract 5 from both sides.
2x = 12
Divide both sides by 2.
x = 6
Example 2:
Multiply both sides by 4.
x = 36
Always check your answer by substituting it back into the original equation.
Inequalities
Inequalities are solved much like equations, but they compare values using symbols such as <, >, ≤, and ≥. The biggest rule to remember is that multiplying or dividing by a negative number reverses the inequality sign.
Common tasks include:
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Solving one-variable inequalities
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Graphing solutions on a number line
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Interpreting inequality word problems
Example 1:
Solve:
x + 7 > 15
Subtract 7.
x > 8
Example 2:
Solve:
-2x < 10
Divide by -2 and reverse the inequality.
x > -5
Many students forget to flip the inequality symbol after dividing by a negative number. This is one of the most common mistakes on the GED.
Systems of linear equations
A system of equations contains two equations with the same variables. Your task is to find the point where both equations are true. On the GED, systems are usually solved by graphing or substitution.
Practice:
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Finding the intersection of two lines
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Solving simple systems algebraically
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Interpreting solutions in real-world contexts
Example:
Solve:
Add the equations.
2x = 10
x = 5
Substitute into the first equation.
5 + y = 8
y = 3
Solution:
(5,3)
Many GED questions present systems as word problems, such as comparing two payment plans or ticket prices.
Polynomials and quadratic expressions
You do not need advanced algebra for the GED, but you should understand basic polynomial operations and simple quadratic equations. Questions often involve factoring or identifying the correct quadratic expression.
Important skills include:
-
Combining polynomial terms
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Multiplying simple binomials
-
Factoring common quadratic expressions
-
Solving basic quadratic equations
Example 1:
Factor:
Look for two numbers that multiply to 12 and add to 7.
Answer:
Example 2:
Solve:
Answer:
You do not need to memorize advanced factoring techniques. Most GED questions use straightforward quadratic expressions.
Coordinate plane and slope
The coordinate plane helps you visualize relationships between variables. You should know how to plot ordered pairs and calculate the slope of a line.
Study these skills:
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Reading coordinates
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Identifying quadrants
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Finding slope
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Interpreting graphs
Example:
Find the slope of the line passing through:
(2,3) and (6,11)
Use the slope formula.
A positive slope rises from left to right, while a negative slope falls.
Linear equations and graphs
Many GED questions ask you to connect equations with graphs. You should recognize how the slope and y-intercept determine the appearance of a line and be able to identify which graph matches a given equation.
Practice:
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Graphing lines from equations
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Identifying the y-intercept
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Comparing equations and graphs
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Interpreting graphs in real-world situations
Example:
Graph:
y = 2x + 1
The y-intercept is 1, so the line starts at (0,1). The slope is 2, meaning the line rises 2 units for every 1 unit it moves to the right.
Many GED word problems also use graphs to represent costs, distances, or rates of change. Always read the axis labels carefully before interpreting the graph.
Functions
Functions describe the relationship between an input and an output. On the GED Math test, you may be asked to evaluate a function, interpret a function table, or determine whether a relationship is a function. Most questions focus on understanding how changing the input changes the output rather than memorizing complex formulas.
Make sure you can:
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Evaluate functions using function notation
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Read function tables
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Identify whether a relation is a function
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Compare inputs and outputs
Example 1:
If
f(x) = 2x + 3
find
f(5)
Substitute 5 for x.
2(5) + 3 = 13
Therefore,
f(5) = 13
Example 2:
|
x |
y |
|
1 |
4 |
|
2 |
6 |
|
3 |
8 |
Each input has exactly one output, so this table represents a function.
Remember that a function cannot assign one input to two different outputs.
Data analysis and statistics
Data analysis questions measure your ability to interpret information from graphs, tables, and charts. Instead of performing difficult calculations, most questions ask you to compare values, identify trends, or calculate simple statistics.
Practice these skills:
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Finding the mean, median, and mode
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Reading tables and graphs
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Comparing data sets
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Identifying trends and patterns
Example 1:
Find the mean of: 6, 8, 10, 12, 14
Add the numbers.
6 + 8 + 10 + 12 + 14 = 50
Divide by the number of values.
50 ÷ 5 = 10
Mean = 10
Example 2:
For the data set: 3, 5, 5, 6, 8
-
Mean = 5.4
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Median = 5
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Mode = 5
Many GED questions include bar graphs, line graphs, or scatter plots. Always read the title, axis labels, and units before answering.
Probability
Probability measures the chance that an event will occur. GED questions usually involve simple probability rather than advanced probability rules.
Focus on:
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Finding simple probability
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Comparing probabilities
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Using fractions, decimals, or percentages to express probability
Example 1:
A bag contains:
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5 red marbles
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3 blue marbles
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2 green marbles
What is the probability of drawing a blue marble?
Total marbles:
5 + 3 + 2 = 10
Probability:
or 30%
Example 2:
If a coin is flipped once, the probability of getting heads is
or 50%
Always count the total number of possible outcomes before calculating probability.
Geometry and measurement
Geometry questions focus on measuring two-dimensional and three-dimensional figures. Most formulas you'll need appear on the GED formula sheet, so your job is to recognize which formula applies and substitute the correct values.
Practice:
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Identifying shapes
-
Choosing the correct formula
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Converting measurement units
-
Solving real-world geometry problems
Example:
A rectangle is 8 feet long and 5 feet wide.
Its area is:
8 × 5 = 40 (square feet).
Many mistakes occur because students confuse perimeter, area, and volume. Always read what the question asks you to find.
Perimeter, circumference, and area
These topics appear frequently because they apply to everyday situations such as fencing a yard, painting a wall, or installing flooring.
Know how to calculate:
-
Rectangle perimeter
-
Rectangle area
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Triangle area
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Circle circumference
-
Circle area
Example 1:
Find the area of a rectangle measuring 9 ft by 6 ft.
A = l × w
9 × 6 = 54 (square feet).
Example 2:
Find the circumference of a circle with radius 7.
C = 2πr
2 × π × 7 = 14π
Approximately: 43.98
Always identify whether the problem gives the radius or the diameter before choosing a formula.
Surface area and volume
Surface area measures the total area covering a three-dimensional object, while volume measures the amount of space inside it. The GED formula sheet includes formulas for common solids, but you still need to recognize which shape the question describes.
Common shapes include:
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Rectangular prisms
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Cylinders
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Cubes
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Cones
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Spheres
Example 1:
Find the volume of a rectangular prism with:
-
Length = 8
-
Width = 3
-
Height = 5
V = lwh
8 × 3 × 5 = 120 (cubic units).
Example 2:
A cube has side length 4.
Its surface area is
Answer: 96 square units
Pay close attention to units. Surface area uses square units, while volume uses cubic units.
The Pythagorean theorem
The Pythagorean theorem applies only to right triangles. It allows you to find a missing side when the other two sides are known and appears regularly on GED geometry questions.
Use it to:
-
Find missing side lengths
-
Solve distance problems
-
Interpret coordinate geometry questions
Example:
A right triangle has legs of 6 and 8.
Find the hypotenuse.
Always remember that the longest side is the hypotenuse, and it is always opposite the right angle.
GED Math word problems
Word problems combine several math skills into one question. Instead of solving immediately, first identify what the question is asking and decide which mathematical concept applies.
A good strategy is:
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Read the problem carefully.
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Underline important numbers.
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Identify what must be found.
-
Write an equation.
-
Solve.
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Check that the answer makes sense.
Example:
A store offers 25% off a jacket originally priced at $80.
Find the discount:
0.25 × 80 = 20
Subtract the discount:
80 - 20 = 60
The sale price is $60.
Many students lose points because they rush into calculations before understanding the problem. Slowing down for the first 20-30 seconds often saves time by preventing mistakes later.
FAQs
1. What is the best way to study for GED Math?
Take a full practice test first, identify your weakest content area, and spend most of your time there. Then rebuild skills in order: number sense, algebra, geometry, and graphs, finishing with two timed full-length Math tests. This diagnostic-first approach usually cuts total study time because you stop reviewing material you already know.
2. Do I need to memorize GED Math formulas?
No, most formulas appear on the on-screen formula sheet available throughout the exam. You should still memorize the order of operations, exponent rules, and the percent change setup, because those are not on the sheet. Practice using the sheet during study sessions so finding a formula takes seconds, not minutes.
Final thoughts
A solid GED math study guide comes down to three things: know the 46-question, 115-minute format, study the four content areas in the right order, and practice under timed conditions before test day. Since algebra makes up about 55 percent of the exam, give it the largest share of your schedule, and lean on the formula sheet for geometry instead of memorizing.
When you are ready to put this plan into action, GED Prep offers GED-style practice questions, timed exam simulations, and clear explanations for every answer. Take a free Mathematical Reasoning practice test today and find out exactly how close you are to a passing score.