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In this blog post, I walk you through how to approach the math section of the Praxis Core, from the main content categories to the strategies I use to solve proportion and inequality questions quickly. If you have ever stared at a word problem and felt your heart start racing, this post is for you.
The goal is simple. You want to understand what the exam covers, practice with the right tools, and learn to think like a test maker. When you do that, many questions that look hard become surprisingly manageable.
What the Praxis Core Math Exam Covers
The first step is knowing the main components of the exam. According to the Praxis Core Math (5733) test specification from ETS, the content breaks down like this:
|
Content category |
Approximate number of questions |
Approximate percentage of exam |
|---|---|---|
|
Number and Quantity |
20 |
36% |
|
Data Interpretation and Representation, Statistics, and Probability |
18 |
32% |
|
Algebra and Geometry |
18 |
32% |
The question counts include both scored and unscored pretest questions, so the exact number in each category may vary from one test form to another.
Don't let the table fool you into thinking Number and Quantity is just one-third of your prep. Place value, fractions, decimals, percents, ratios, and proportions show up inside word problems across the entire test. If you can convert smoothly between fractions, decimals, and percents, you'll feel the payoff in every category.
How to practice
Use practice tests, but focus on concepts
People often ask me for more Praxis Core practice tests. For this exam, taking a lot of them is a good strategy, because each one builds your skills. Just remember that no practice test will match the real exam exactly. What carries over is your understanding of what's happening in each problem.
That's even more true for the Praxis subject assessments, where conceptual understanding is everything. You can also use AI to draft extra practice questions. Treat them as skill builders, not replicas of the real test.
Practice with an onscreen calculator
On test day, you'll use an onscreen calculator, not a handheld one. Most people find a handheld easier, which is exactly why you shouldn't practice with one. Open a desktop calculator app and get comfortable clicking the screen or typing on your keypad.
Know the basic formulas anyway
You'll have an onscreen formula sheet, or the formula will be built into the question. It still pays to know the basics, like area and perimeter, so you don't burn time looking them up. But if you draw a blank, the sheet is one click away.
How to solve ratio and proportion questions
Ratio questions are a great example of one problem testing several skills at once. Here's a typical one:
A model of a statue measures 8 inches wide by 6 inches tall. If the scale of the model to the actual statue is 2 inches to 5 feet, what is the height of the actual statue?
Step 1: Read the answer choices first
Before you solve anything, scan the choices. Here, they're all whole numbers in feet, listed from lowest to highest, with no decimals or negatives. Test makers usually order choices this way. Right away, you know you're looking for a measurement in feet.
Step 2: Cross out the extra information
The question gives you the width, 8 inches, but you don't need it. You only need the height. A common mistake is setting up 6 to 8 equals 2 to 5, which leads to a wrong answer.
What you do need is the 2-inch-to-5-foot scale and the 6-inch model height. That's three of the four values in a proportion. When a problem hands you three out of four, that's your signal to set one up.
Step 3: Set it up "matchy matchy"
I call this matchy matchy: inches go over feet on both sides of the equation.
2 in / 5 ft = 6 in / x ft
Cross multiply to get 2x = 30. Divide both sides by 2 to isolate x, and you get 15 feet.
You could also reason it out: 6 is 3 times 2, so multiply 5 by 3 to get 15. I prefer cross multiplying because it works every time, but use whichever method clicks for you.
Proportion rules of thumb
- Keep units consistent. Inches over feet equals inches over feet. Never mix them.
- Follow the order of the sentence. Setting up values in the order you read them keeps you from flipping them by accident.
- Expect proportions everywhere. They show up in scale models, unit rates, and predictions.
How to answer inequality questions without solving them
Sometimes reading the answer choices saves you from solving anything at all. On many algebra word problems, you only need to set up the inequality, not solve it.
A shopper has $300 to spend on shirts that cost $30 each and pants that cost $48 each.
The four answer choices look nearly identical. The main difference is the sign: less than, less than or equal to, greater than, or greater than or equal to.
Go straight to the sign
If inequalities make your heart race, take a breath and be strategic. Zero in on the sign first. Nine times out of ten, the problem gives you a limit, like the $300 budget here. Then ask yourself three questions:
- Can the shopper spend more than $300? No. Not $300.01, and not $400. Cross out every choice with a greater than sign.
- Can the shopper spend exactly $300? Yes.
- Can the shopper spend less than $300? Yes.
The only sign that allows both "exactly" and "less than" is less than or equal to. Only one choice uses it:
30s + 48p ≤ 300
Before you lock it in, do a quick check that the coefficients match the right variables: 30 with shirts (s) and 48 with pants (p). In this case, though, the sign alone gets you to the answer.
This strategy works on the SAT, the ACT, and any test that asks you to pick the correct inequality. For more practice with these question types, check out my Praxis Core Math tips and strategies.
Want to see more problems like these worked out step by step? Head over to my Praxis Core Math Playlist and Math Playlist for more videos.
Final Thoughts
Passing the Praxis Core Math comes down to knowing the content, practicing with the tools you'll actually use, and thinking like a test maker. Here's your quick checklist for test day:
- Read the answer choices first.
- Watch for extra information you don't need.
- Keep your proportions matchy matchy.
- Go straight to the sign on inequality questions.
Use these strategies, and you'll save time and sidestep the traps test makers love to set.
Ready to keep going? Check out my Praxis Core resources for more practice and support as you prepare for test day.
🎥 Watch the full video to see me work through every step of these problems 🎥
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