The People's Share
GED · Mathematical Reasoning · 115 minutes

Math

Every question on the test belongs to one of fourteen families. Look up what you need, or take a diagnostic and be told.

If you know what you are looking for Look it up Type a word — quadratics, slope, percent, hypotenuse, minus numbers — and it tells you which family it belongs to and where on this site to learn it. Every topic on the math test is in there, including the ones we have not built yet, which say so. Search the whole of math → If you want practice, one skill at a time Drills Short sets of problems, each on a single skill, numbered in order from the times tables to functions. Two worked examples at the top of every drill, ten problems (or five) with the reasoning for every answer, and a check mark when you have it. All 237 drills are ready, in every family. Open the drills →
They hand you this The calculator A TI-30XS MultiView, on the screen or in your hand. There is a free version of the same machine you can practice on tonight, and three videos to learn it from. Learn the calculator → And this The formula sheet A button on the screen for the whole test. Every formula on it, grouped by family — and the longer list of what it does not give you, which matters more. See what is on it →

If you do not know where to begin

Take a diagnostic

Each one checks your answers as you go, explains every one, and will make five more problems of any kind you got wrong.

About an hour · take this one firstFlyover IFifty-five questions, a few from each of the fourteen families. Checked as you go, every answer explained. It ends in a grid that says which families are yours, and links straight to the page for each.Take Flyover I → About an hour · take this one secondFlyover IIThe same fourteen families asked again, with fifty-five new questions. Take it after you have done some work, to see what has moved.Take Flyover II →

And four more, for when you want a closer look at one stretch of it

The short flyoverThe same idea cut down: twenty-six questions across nine families.About half an hour Diagnostic 1Place value, fractions, and decimals — the thirteen topics of the first leg, one at a time.A closer look Diagnostic 2Signed numbers — adding, subtracting, multiplying, dividing.A closer look Diagnostic 3Pre-algebra to analytic geometry — the nine harder families, asked harder.A closer look
If you would rather read than be tested Read about the math families All fourteen introduced by name, in one sitting, with nothing to solve. What each family is, and what the test does with it. Read the Math Flyover →

Then

The fourteen families

One page each, the same eight parts every time, so you learn the shape once.

A woman at a round table teaches geometry to a group of students, holding a compass over drawn figures; a medieval manuscript painting.
A woman teaching geometry, from a French manuscript of Euclid’s Elements, about 1310. British Library, Burney 275. Public domain.

Every question on the test belongs to one of these fourteen. Pick the one you need and everything for it is on a single page: what it is, the list of topics the test asks in it, a way to check yourself, the quizzes, the drills, the apps, the sheets to print, what to look up elsewhere, and which family comes next.

The number families · a little under half the test

  1. 1Numbers and the four operationsPlace value, rounding, and adding through dividing. Seven quizzes and the times tables.
  2. 2Signed Numbers (positives & negatives)Below zero, absolute value, and the sign rules all of algebra runs on. An introduction, three quizzes, a practice sheet, and Negative Mazarine! — ups and downs, gains and losses, in three rooms.
  3. 3FractionsParts of a whole, and division wearing different clothes. Five quizzes and a practice sheet.
  4. 4DecimalsTenths and hundredths — every price you have ever read. Four quizzes and a practice sheet.
  5. 5Percents, ratios, and proportionPer hundred, and the art of scaling. An introduction, six quizzes and a practice sheet: the test’s workhorse.

Shape, data, and chance · the middle ground

  1. 6Measurement and unitsInches to feet, quarts to cups, reading a scale, and keeping units honest through a calculation. A quiz and a practice sheet cover all of it.
  2. 7GeometryThe biggest family on the test, and the one most students have seen least. Four quizzes now cover all of it, with the circles app and the Pythagoras worksheet.
  3. 8Data, graphs, and statisticsMean, median, mode, range, and reading a graph without being fooled by it. Two quizzes cover all of it.
  4. 9Probability and countingFavorable outcomes over all outcomes. Small, quick, and usually left out. A quiz and a practice sheet cover all of it.

The algebra families · a little over half the test

  1. 10Exponents, roots, and scientific notationPowers and roots, and the rules that combine them. Five quizzes, two apps, and a chart to print.
  2. 11Expressions and polynomialsAn amount with a variable still in it. Like terms, parentheses, multiplying binomials and factoring. Two quizzes and an app cover all of it.
  3. 12Equations and inequalitiesFinding the number the variable stands for. Two quizzes, three rooms and two practice sheets.
  4. 13Lines, slope, and systemsy = mx + b, and two lines at once. A quiz, two rooms and a practice sheet cover all of it.
  5. 14Functions and the coordinate planef(x) — a rule that takes one number in and gives one back — and the grid it is drawn on. A quiz, two rooms and a practice sheet cover all of it.

Everything else

The whole shelf

The same material gathered by kind rather than by topic, for browsing.

All the apps Pages you work with your hands

Nothing is scored, and you can come back to any of them as often as you like.

All the worksheets Sheets to print and work with a pencil

Each sheet says in plain words what the topic is, works two examples all the way through, then gives you practice to do by hand, with the answers and the reasoning behind one reveal at the end.

All the quizzes Forty-three quizzes, in six legs

Place value through probability: the Seahorse Series, the Deep Sea Series, Out of All Proportion, the Okapi Series, Creatures in Flight, and the Restoration Series. Each quiz teaches its topic first, with a guide and three worked examples, then asks ten questions, and its key explains every answer. The family pages sort them by topic; the quiz index lists them in order.

The course Summer Math
On video Two playlists from Light & Salt Learning
Beside the quizzes What we use in class and at home
Under the clock Full-length practice

A timed set with the calculator and the formula sheet, as on the day. Ours is still being written; the free practice test at GED.com is there now. A puzzle — harder, stranger, or just more fun than the test — goes up on Homework and Bulletins! from time to time, with its solution afterward.

Homework and Bulletins!

Assignments and notices for every class are posted out front, on the GED page.

Studying with Claude

Stuck at home, late at night? How to ask an AI tutor for help with any GED subject, with sample questions to copy, and how to find your way back here.