If the word “geometry” makes your stomach drop, you’re not alone.
But GED geometry is really just measuring. How much carpet covers this floor? How much fence goes around this yard? How much water fills this tank?
The catch? The formula sheet gives you the formulas, but it won’t tell you which one to use or where each number goes. That’s where people lose points, and that’s what this page helps with.
On this page you’ll get:
- 25 practice questions (scroll up), new ones every time
- What GED geometry questions really look like
- The 4 mistakes that cost the most points, and how to dodge them
- One problem worked out step by step
Skills in this set: Volume of a cylinder · Pythagorean theorem · Area of a rectangle or square · Area of a triangle · Area of a parallelogram · Area of a trapezoid · Area and circumference of a circle · Perimeter in context · Volume of a rectangular prism · Finding a cylinder's height from its volume · Volume of a cone · Volume of a sphere · Volumes of a prism, a pyramid and a cone · Surface area of a rectangular prism · Surface area of a cylinder · Pythagorean theorem in context · Area of a composite figure · Scale drawings and actual measurements
What GED geometry questions look like
Almost every geometry question is a small real-life job. You’ll see a garden to fence, a room to carpet, a can to label or a tank to fill.
You’ll be asked to find one of four things. Perimeter is the distance around a shape (the fence). Area is the flat space inside it (the carpet). Volume is how much a 3D object holds (the water). Surface area is the outside skin of a 3D object (the label on the can).
The shapes are the ones you already know: rectangles, triangles, circles, and boxes, cans, cones and balls. Sometimes two shapes are stuck together, like an L-shaped room. You also get the Pythagorean theorem, for questions like how long a ladder needs to be.
How many questions? GED Testing Service doesn’t publish a count per topic. Geometry shares about 20% of the test with data and statistics, so our estimate is four to six geometry questions out of about 46.
You’ll have the on-screen calculator for nearly all of them. If one shows up in the short no-calculator part at the start, the numbers will be small enough to do by hand.
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.
1Using the diameter when the formula wants the radius
The diameter goes all the way across a circle. The radius goes from the center to the edge, so it’s half. Questions love to give you the diameter. Cut it in half first, or your answer comes out four times too big (and that wrong answer is usually one of the choices).
2Forgetting the ½ or the ⅓
A triangle is half of a rectangle, so its area formula has ½ in it. A cone holds a third of what a can the same size holds, so its volume formula has ⅓. Write the whole formula down before you plug in numbers, and the fraction won’t get lost.
3Mixing up the two heights on a cone or pyramid
Picture a tent. The height is the pole in the middle, straight up. The slant height runs down the side of the canvas. Volume uses the pole. Surface area uses the slant. Diagrams often show both, just to test you.
4Giving the right number in the wrong units
Length is in feet. Area is in square feet (think floor tiles). Volume is in cubic feet (think boxes). If two answers have the same number with different units, stop and ask what you’re measuring.
One problem, worked out step by step
A cylindrical water tank has a diameter of 6 feet and a height of 10 feet. What is its volume, to the nearest cubic foot? Use 3.14 for π.
The working
- Find the radius first
The question gives a diameter, and the formula uses the radius. The radius is half the diameter.
r = 6 ÷ 2 = 3 feet - Write the formula from the sheet
The volume of a cylinder is the area of the circular base multiplied by the height.
V = πr²h - Square the radius, then multiply
Do the squaring before anything else. Three squared is nine, then multiply by π and by the height.
V ≈ 3.14 × 9 × 10 = 282.6 - Round and check the unit
To the nearest cubic foot the tank holds about 283 cubic feet. If you had used 6 as the radius you would get 1,130, which is four times too large.
V ≈ 283 cubic feet
Answer: About 283 cubic feet
How to get better at this, fast
- Label before you calculate. Write r = 3, h = 10 next to the problem. It takes five seconds and catches the diameter slip every time.
- Remember three shortcuts: a triangle is half a rectangle, a cone is a third of a can, and a pyramid is a third of a box. If you blank on a formula, these rebuild it.
- Guess the size first. A tank 6 feet across and 10 feet tall should hold a few hundred cubic feet. If your answer is in the thousands, something slipped.
- Break odd shapes into pieces. An L-shaped room is two rectangles. Find each area, then add. If a piece is cut out, subtract it instead.
Frequently asked questions
Do I need to memorize geometry formulas for the GED?
No. Every area, perimeter, volume and surface-area formula is on the formula sheet. What you need is to know which one fits the shape and what each letter stands for.
Is the Pythagorean theorem on the GED math test?
Yes, and it’s on the formula sheet as a² + b² = c². It usually shows up as a ladder leaning on a wall or a path cutting across a rectangle. The c is always the longest side, across from the square corner.
What value of pi does the GED use?
Use 3.14, which is what the formula sheet says. The question will tell you how to round.
How many geometry questions are on the GED math test?
GED Testing Service doesn’t publish an exact count. Our estimate is four to six, because geometry shares about 20% of the test with data and statistics.
Keep going
The formula sheet, explained
Every geometry formula with a worked example and the mistake it usually causes.
Ratios and proportions practice
Scale drawings lean on proportions, so the two topics are worth practicing together.
Full-length practice test
Geometry back among all the other topics, under the real time limit.