Most GED word problems hide a small piece of math, like a percent or one multiplication, inside a story about a phone plan, a paycheck or a room that needs carpet. GED Testing Service builds the test around real-world problems like these.
The catch? The story is the hard part. Pull out the wrong number, or read “less than” backward, and the math can’t save you.
The good news: unwrapping the story takes the same six moves every time. In this guide you’ll get:
- A six-step method that works on any word problem
- A words-to-math table that turns phrases like “less than” into symbols
- 15 solved examples, from discounts to probability, with every step shown
- The 5 traps behind most wrong answers, and how to spot them
- 25 practice questions (scroll up) that check your answers as you go
If word problems have made your stomach drop since school, you’re not alone. Nobody is born good at these. It’s a routine, and routines can be learned.
How to solve any GED word problem in six steps
Think of this like a recipe card. The first few times, you follow it line by line and it feels slow. After a week or so, you stop looking at the card.
That’s what you want 90 minutes into the test, when you’re tired: a routine that runs on its own. So use it on every problem, even the easy ones.
- Read the question sentence first: The last line usually says what you’re finding (“How much will she pay in total?”). Read that, then read the whole problem with that goal in mind.
- Name the unknown: Write it in words and give it a letter, like “a = number of adult tickets”. That one line keeps you from solving for the wrong thing.
- Translate, one phrase at a time: Use the table below to turn words into symbols. Cross out numbers you don’t need, because some problems throw in extra details.
- Pick the operation and solve: Ask what the story is doing: putting things together, comparing, sharing out or scaling up. Then work it out by hand or on the TI-30XS.
- Estimate: Round the numbers and get a rough answer. If you expected about $60 and got $600, something slipped.
- Check the units and the sense: Is it in dollars, feet or hours? Does it answer the question from step 1? A negative number of tickets, or a probability above 1, means go back.
Words to math: a translation table
Word problems use the same few words over and over. It’s like road signs: once you know them, you read them without thinking.
Learn these and you can turn most sentences into math, one piece at a time.
| Words | Math | Example |
|---|---|---|
| sum, total, combined, more than, increased by | + | “5 more than x” is x + 5 |
| difference, fewer, decreased by, less than | − | “the difference of 12 and x” is 12 − x |
| product, times, twice, triple | × | “twice a number” is 2x |
| quotient, divided by, split equally, ratio of | ÷ | “the quotient of x and 4” is x ÷ 4 |
| of (with a fraction or percent) | × | “3/4 of 20” is 3/4 × 20 = 15 |
| per, each, for every | ÷ (a rate) | “$4.32 for 18 ounces” is 4.32 ÷ 18 per ounce |
| is, equals, will be, results in | = | “3 times a number is 27” is 3x = 27 |
| what percent of | part ÷ whole × 100 | “what percent of 80 is 20?” is 20 ÷ 80 = 25% |
| percent of | decimal × amount | “15% of 60” is 0.15 × 60 = 9 |
| less than (order trap) | subtract from the second number | “7 less than x” is x − 7, never 7 − x |
| at least, no less than, minimum | ≥ | “at least 18” is x ≥ 18 |
| at most, no more than, up to, maximum | ≤ | “no more than $65” is cost ≤ 65 |
15 GED math word problems with answers
Work each problem on paper, type your answer, then tap “Check my answer”. A wrong answer turns red, the right one turns green, and the working opens. Getting stuck first, then seeing the fix, is what makes a method stick.
The tag on each one says whether the numbers are friendly enough to do by hand. Those are good practice for the no-calculator part. GED Testing Service doesn’t say which topics go in that part, so the tag is only our guide.
We wrote all 15 problems ourselves and checked every answer by calculation.
GED percent word problems
Discounts, sales tax, a rent increase and interest. Percents turn up all over the test because they turn up all over real life.
1. Discount on a discount
A jacket costs $84. It is marked 25% off, and at the register you get an extra 10% off the sale price. How much do you pay before tax?
A whole number, a decimal or a fraction like 3/4 all work.
2. Sales tax
A lamp costs $48. Sales tax in your state is 7.5%. What is the total cost?
A whole number, a decimal or a fraction like 3/4 all work.
3. Percent increase
Your rent goes up from $1,250 to $1,400 a month. By what percent did it increase?
A whole number, a decimal or a fraction like 3/4 all work.
4. Simple interest
You put $2,400 in a savings account that pays 3.5% simple interest per year. How much is in the account after 4 years?
A whole number, a decimal or a fraction like 3/4 all work.
GED fraction, ratio and proportion word problems
Recipes, map scales and which jar of peanut butter is the better deal. Each one is about keeping two amounts in step, like cups of oil and muffins.
5. Scaling a recipe
A recipe uses 3/4 cup of oil to make 12 muffins. How much oil do you need for 30 muffins?
A whole number, a decimal or a fraction like 3/4 all work.
6. Map scale and travel time
On a map, 1 inch represents 15 miles. Two towns are 3 1/2 inches apart on the map. If you drive between them at an average of 45 miles per hour, how long does the trip take?
A whole number, a decimal or a fraction like 3/4 all work.
7. Better buy (unit rate)
An 18-ounce jar of peanut butter costs $4.32. A 28-ounce jar costs $6.44. Which is the better buy per ounce?
GED linear equation word problems
Here you write an equation from the story, then solve it. Both problems start with step 2 of the method: give the unknown a letter.
8. Comparing phone plans
Plan A costs $40 a month plus $5 per gigabyte of data. Plan B costs $60 a month plus $1 per gigabyte. At how many gigabytes do the plans cost the same? Which is cheaper if you use 8 GB?
A whole number, a decimal or a fraction like 3/4 all work.
9. Ticket sales
A community theater sold 150 tickets for a show. Adult tickets cost $12 and student tickets cost $7. Ticket sales came to $1,450. How many adult tickets were sold?
A whole number, a decimal or a fraction like 3/4 all work.
GED inequality word problems
Look for “at most”, “at least” or “no more than”. Think of a budget, or an age limit on a ride. The answer is often a whole number (you can’t buy part of a pizza), so you decide which way to round.
10. Party budget
Maya has at most $65 to spend on a party. She has already spent $14 on drinks. Pizzas cost $11.50 each. What is the greatest number of pizzas she can buy?
A whole number, a decimal or a fraction like 3/4 all work.
GED geometry word problems
The formula sheet hands you the formulas. Your job is to spot the shape in the story (a floor, a tank, a ladder) and keep the units straight.
11. Carpet and baseboard for a room
A rectangular bedroom measures 12 feet by 15 feet. Carpet costs $27 per square yard. How much will carpet for the whole floor cost, and how many feet of baseboard go around the room?
A whole number, a decimal or a fraction like 3/4 all work.
A whole number, a decimal or a fraction like 3/4 all work.
12. Volume of a water tank
A cylindrical water tank has a radius of 3 feet and a height of 5 feet. To the nearest cubic foot, how much water does it hold when full?
A whole number, a decimal or a fraction like 3/4 all work.
13. Ladder against a wall
A 13-foot ladder leans against a wall. Its base is 5 feet from the wall. How high up the wall does the ladder reach?
A whole number, a decimal or a fraction like 3/4 all work.
GED data and probability word problems
Working out the score you need to hit an average, and the chance of pulling two of the same color out of a bag without looking.
14. Score needed on the last test
Jordan scored 78, 85, 92 and 74 on four tests. What score does he need on the fifth test to average exactly 83?
A whole number, a decimal or a fraction like 3/4 all work.
15. Drawing two marbles
A bag holds 5 red, 7 blue and 8 green marbles. You draw two marbles without putting the first one back. What is the probability that both are green?
A whole number, a decimal or a fraction like 3/4 all work.
The 5 traps that cost the most points
Each solved problem above pointed out a trap answer. Those traps fall into five groups. Learning the groups is quicker than memorizing problems.
Trap 1: mixing units
Square feet and square yards. Minutes and hours. Inches on a map and miles on the road.
Mixing them is like measuring a room half in feet and half in inches. Every number looks fine, and the answer is still wrong. Convert first, and write the unit next to every number (problems 6 and 11).
Trap 2: “less than” in the wrong order
“Ten less than twice a number” is 2x − 10. You start with twice the number, then take ten away. “Subtracted from” works the same way.
Trap 3: a percent of the wrong number
Percent change always divides by where you started. When rent goes from $1,250 to $1,400, the $150 rise is compared with the old $1,250 (problem 3).
A second discount follows the same idea. It comes off the price that’s already been cut. That’s why 25% off and then 10% off saves you less than 35% off would (problem 1).
Trap 4: rounding too early
Round 2/3 to 0.67, multiply by 450, and you get 301.5. The exact answer is 300. Keep the full number in the calculator and round once, at the very end.
Trap 5: answering a different question
You find the interest when it asked for the total in the account (problem 4). Or you find the student tickets when it asked for the adults (problem 9). Before you pick, reread the question sentence from step 1.
Bottom line: on multiple choice, the wrong options are often the exact numbers these traps produce. So finding your number in the list doesn’t prove it’s right. Do step 6 of the method even when you feel sure.
How to get better at GED word problems
Word problems get easier the way driving does: a little at a time, with a check on each mistake. Start with the 25 practice questions at the top of this page. Then pick the set below that matches the type you find hardest:
| Problem type | Practice set |
|---|---|
| Percent: discount, tax, percent change, interest | Fractions, decimals and percents |
| Recipes, scale, unit rates, proportions | Ratios and proportions |
| Everyday arithmetic with money and measurements | Number operations |
| Linear equations, systems and inequalities | Algebra and equations |
| Rates of change and comparing plans on a graph | Functions and graphing |
| Area, perimeter, volume, Pythagorean theorem | Geometry and measurement |
| Mean, median, missing values, probability | Data, statistics and probability |
- Do five a day, written out: Use all six steps, including the estimate. Speed comes once your setup is steady.
- Keep a trap log: Each time you miss one, write down which of the five traps caught you. After two weeks you’ll know your own pattern, and which trap to watch for.
- Put the calculator away sometimes: Work the “doable by hand” problems without one, because the test opens with a few questions and no calculator.
Bottom line: once the setup feels steady, move to the full practice test, where word problems are mixed in with everything else and the clock is running.
Frequently asked questions
Are most GED math questions word problems?
A lot of them are, though GED Testing Service doesn't publish an exact share. Expect to spend much of the test reading short stories about money, work and home, and turning them into math.
How do you solve GED word problems?
Read the question sentence first, give the unknown a letter, and turn the words into math. Then solve, estimate, and check that the answer fits the story and has the right units.
What is the hardest type of GED word problem?
For most people it's the kind with several steps. Each step is small, but it's easy to lose track of what you're finding. Writing a one-line plan before you calculate helps a lot.
Where can I find GED math word problems with answers?
Right here: 25 practice questions at the top of this page check each answer as you go, and the 15 problems below check your answer, then show every step. Our topic practice sets add more of each type.
Written by
Coach Crissy
Math instructor
Coach Crissy teaches the video lessons behind the BooknBoost GED math course, working through GED-style problems on camera: ratios and proportions, percent and interest, mean, median and mode, slope, and the geometry students meet on test day.
Keep going
Full-length GED math practice test
46 questions in 115 minutes, with the calculator locked for the opening part.
The GED math formula sheet
Every formula you are given, and the ones you still need to know.
The GED calculator guide
How the TI-30XS works on the test, and how to handle the no-calculator part.
What is on the GED math test
The topics, their weights and the question formats.