If it’s been years since you did math without a calculator, those first few questions can feel like a pop quiz you didn’t study for.
But this is math you already use. You check a bank balance that dipped below zero, split a bill, or work out when two buses line up. The test puts the same arithmetic on the screen.
The catch? Small slips cost points here. Work 8 + 5 × 3 from left to right and you get 39 instead of 23, and 39 will be one of the choices. Every other topic leans on these skills, so this is a good place to start.
On this page you’ll get:
- 25 practice questions (scroll up), new ones every time
- Negative numbers, explained with a thermometer
- Order of operations, and why 2 + 3 × 4 isn’t 20
- Quick estimating to catch your own mistakes
Skills in this set: Order of operations · Evaluating expressions with integers · Adding and subtracting signed numbers · Sign rules for signed numbers · Absolute value and distance on a number line · Rounding and estimating · Least common multiple and greatest common factor · Converting units within a measurement system
What GED number questions look like
The settings are ordinary: a temperature below zero, an overdrawn bank account, a diver below sea level, a crowd size to round, a board measured in feet and inches. Many questions take two or three steps.
Negative numbers make the most sense on a thermometer. Zero sits in the middle, warmer is up and colder is down. If it’s −8° and it warms up 15 degrees, you climb 8 to reach zero and 7 more, so it’s 7°.
The thermometer also explains the odd rule about two minus signs. Subtracting a negative, as in 5 − (−3), is like taking away 3 degrees of cold. Take cold away and it gets warmer, so 5 − (−3) = 8.
Order of operations is the rule that makes everyone get the same answer. Parentheses come first, then exponents, then multiplying and dividing, then adding and subtracting. So 2 + 3 × 4 is 14: do 3 × 4 = 12 first, then add 2.
Here’s why 20 is wrong. Say you have $2 in your pocket and then earn 3 tips of $4 each. You have 2 + 12 = $14. Going left to right (2 + 3 = 5, then 5 × 4) gives $20, money you never earned.
Estimating is your safety net. Round the numbers and get a rough answer before you work it out. A temperature that starts near −10, goes up about 15 and down about 10 should end a little below zero, so an answer of 12° tells you a sign slipped.
You’ll also see rounding, factors and multiples (like two bus schedules lining up again), absolute value (how far a number is from zero) and unit conversions, such as feet to inches.
The first five or so questions have no calculator. GED Testing Service doesn’t say which topics go there, but arithmetic like this is exactly what you can do by hand, and its math content specialist lists those no-calculator questions among the four areas where test-takers struggle most. The calculator is on for this whole practice set, so try some questions by hand.
How many questions? There’s no official count per topic. This one shares the numbers-and-percents area of the test (about 25%) with fractions, percents, ratios and exponents, so our estimate is two to four questions out of about 46.
The topics and area weights come from GED Testing Service’s official test guide. It doesn’t publish a question count per topic, so any count here is our estimate.
The 4 mistakes that cost the most points
Each wrong answer in the practice set is the result of one specific slip, and the explanation names it. These are the ones that come up most in this topic.
1Working left to right when the order says otherwise
Adding 8 and 5 before multiplying by 3 is the most common wrong answer. It’s like putting your shoes on before your socks: each step is fine, and the order ruins it. A close cousin reads 4² as 4 × 2 = 8, when it’s 4 × 4 = 16.
2Losing the minus sign below zero
A temperature of −12°F or an account overdrawn by $15 starts out negative. On the thermometer, go up for a rise or a deposit and down for a drop or a payment. Two minus signs in a row, as in 5 − (−3), become a plus.
3Chopping digits instead of rounding
4,872 to the nearest hundred is 4,900, because the next digit (7) is 5 or more. Cutting off the last two digits gives 4,800, which is wrong. Picture a number line: 4,872 sits much closer to 4,900. Only the digit just to the right of the place you’re rounding to decides.
4Converting the feet and forgetting the inches
A board 3 feet 7 inches long is 36 + 7 = 43 inches. The choice of 36 inches is waiting for anyone who converted the feet and stopped. It’s like counting the bills in your wallet and forgetting the coins. Convert the bigger unit, then add the leftover smaller units.
One problem, worked out step by step
Before sunrise the temperature in a mountain town was −8°F. It rose 3 degrees an hour for 5 hours, then dropped 11 degrees after sunset. What was the temperature after the drop?
The working
- Write the situation as one expression
Start at the negative number. The rise is 3 degrees five times over, a multiplication, and the drop is a subtraction at the end.
−8 + 3 × 5 − 11 - Multiply before you add or subtract
Multiplication comes first even though it sits in the middle. Left to right would give −5 × 5 and a wrong answer of −36.
3 × 5 = 15, so the expression becomes −8 + 15 − 11 - Add and subtract left to right
Starting 8 below zero and moving up 15 lands at 7 above zero. Then move down 11, crossing zero again.
−8 + 15 = 7, then 7 − 11 = −4 - Check the direction
Up 15 and down 11 is a net rise of 4, and 4 above −8 is −4. A lost minus sign gives 12°F, one of the choices.
−8 + 4 = −4°F
Answer: −4°F
How to get better at this, fast
- Before you work an expression, number the steps in the order you’ll do them (the order many people remember as PEMDAS), and cross each one off as you go. It feels slow at first and turns automatic quickly.
- Sketch a quick thermometer for signed-number problems until you don’t need it. Mark the start, move up for each increase and down for each decrease, and read where you land.
- Estimate before you choose. Round the numbers, get a rough answer, and cross off any choice that’s far away or on the wrong side of zero. For conversions, check the direction too: feet to inches should make the number bigger, and minutes to hours should make it smaller.
- In a factors-or-multiples word problem, decide what’s being asked first. Two schedules lining up again calls for the least common multiple. Splitting one pile into equal groups calls for the greatest common factor.
Frequently asked questions
What does PEMDAS stand for?
Parentheses, exponents, multiplication and division, addition and subtraction. Multiplication and division share one step, worked left to right, and so do addition and subtraction. That’s why 12 ÷ 3 × 2 is 8, not 2.
Do I have to memorize unit conversions for the GED?
The formula sheet has no conversion table, so learn the everyday ones: 12 inches in a foot, 3 feet in a yard, 16 ounces in a pound, 60 minutes in an hour. Our questions give you the less common ones, such as 4 quarts in a gallon.
Is the order of operations on the GED math test?
It doesn’t have its own line in the official guide, but multi-step problems fall apart without it. In the calculator part, the TI-30XS follows the order for you, so type expressions in as written.
How many number-operations questions are on the GED math test?
There’s no official count for a single topic. Our estimate is two to four, based on the 25% part of the test it shares with fractions, percents, ratios and exponents.
Keep going
The GED calculator, explained
What the calculator does for you in the second part, and what stays by hand in the first.
Fractions, decimals and percents practice
The same arithmetic with fractions and decimals, plus the percent problems in this category.
Full-length practice test
Number operations mixed in with every other topic, under the real time limit.