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100+ Free Praxis Core Math Practice Questions

Pass your Praxis Core Academic Skills for Educators: Mathematics (5733) exam on the first try — instant access, no signup required.

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Key Facts: Praxis Core Math Exam

56 items

Selected-Response Questions

ETS test page (5733)

90 min

Time Limit

ETS test page (5733)

$90

Subtest Fee

ETS fee table

Calculator

On-Screen Provided

ETS test page (5733)

ETS lists Praxis Core Mathematics (5733) as 56 selected-response questions in 90 minutes with an on-screen calculator, organized into Number and Quantity (~36%), Data Interpretation, Statistics, and Probability (~28%), and Algebra and Geometry (~36%). The subtest fee is $90, or $150 when combined as the 5752 session, and passing scores are state-set (commonly around 150).

Sample Praxis Core Math Practice Questions

Try these sample questions to test your Praxis Core Math exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A recipe that serves 4 people requires 6 cups of flour. How many cups of flour are needed to serve 10 people, keeping the same ratio?
A.12
B.15
C.16
D.24
Explanation: The ratio of flour to people is 6/4 = 1.5 cups per person. For 10 people: 1.5 x 10 = 15 cups. Alternatively, 6/4 = x/10 gives x = 60/4 = 15.
2What is 15% of 240?
A.36
B.24
C.16
D.48
Explanation: 15% = 0.15, so 0.15 x 240 = 36. You can also compute 10% (24) plus 5% (12) = 36.
3Evaluate: 8 + 3 x (6 - 2)^2.
A.100
B.176
C.44
D.56
Explanation: Using order of operations: (6-2) = 4, then 4^2 = 16, then 3 x 16 = 48, then 8 + 48 = 56.
4Which of the following numbers is prime?
A.27
B.29
C.33
D.51
Explanation: 29 has no divisors other than 1 and itself, so it is prime. 27 = 3 x 9, 33 = 3 x 11, and 51 = 3 x 17.
5What is 3/4 + 1/6 expressed as a single fraction in lowest terms?
A.11/12
B.4/10
C.5/6
D.7/12
Explanation: The common denominator is 12: 3/4 = 9/12 and 1/6 = 2/12, so 9/12 + 2/12 = 11/12, which is already in lowest terms.
6A car travels 180 miles in 3 hours. At this constant rate, how far will it travel in 5 hours?
A.270
B.240
C.360
D.300
Explanation: The rate is 180/3 = 60 miles per hour. In 5 hours: 60 x 5 = 300 miles.
7Convert 2.5 kilometers to meters.
A.2,500
B.250
C.25,000
D.25
Explanation: There are 1,000 meters in a kilometer, so 2.5 x 1,000 = 2,500 meters.
8Simplify: 2^5 / 2^2.
A.4
B.16
C.8
D.32
Explanation: Using the quotient rule for exponents, 2^5 / 2^2 = 2^(5-2) = 2^3 = 8.
9A shirt originally priced at $40 is on sale for 25% off. What is the sale price?
A.$32
B.$15
C.$30
D.$35
Explanation: 25% of $40 is $10, so the discount is $10 and the sale price is $40 - $10 = $30.
10Order the following from least to greatest: 0.6, 2/3, 0.58, 5/8.
A.0.58, 5/8, 0.6, 2/3
B.0.6, 0.58, 5/8, 2/3
C.2/3, 5/8, 0.6, 0.58
D.0.58, 0.6, 5/8, 2/3
Explanation: Convert to decimals: 0.6 = 0.600, 2/3 = 0.667, 0.58 = 0.580, 5/8 = 0.625. Ordering gives 0.580, 0.600, 0.625, 0.667, i.e., 0.58, 0.6, 5/8, 2/3.

About the Praxis Core Math Exam

Praxis Core Mathematics (5733) is an ETS teacher-certification subtest measuring number and quantity, data interpretation and statistics, and algebra and geometry, with an on-screen calculator provided.

Questions

56 scored questions

Time Limit

90 minutes

Passing Score

Set by state (commonly 150 on a 100-200 scale)

Exam Fee

$90 (or $150 combined as 5752) (ETS)

Praxis Core Math Exam Content Outline

~36%

Number and Quantity

Ratios, proportions, percents, order of operations, fractions, and exponents

~28%

Data Interpretation, Statistics, and Probability

Tables and graphs, mean/median/mode/range, and basic probability

~36%

Algebra and Geometry

Equations, inequalities, functions, coordinate geometry, area/volume, and the Pythagorean theorem

How to Pass the Praxis Core Math Exam

What You Need to Know

  • Passing score: Set by state (commonly 150 on a 100-200 scale)
  • Exam length: 56 questions
  • Time limit: 90 minutes
  • Exam fee: $90 (or $150 combined as 5752)

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

Praxis Core Math Study Tips from Top Performers

1Translate word problems into equations before computing
2Estimate first so you can spot answer choices that are obviously wrong
3Practice ratio, proportion, and percent setups — they are the most frequent topic
4Memorize area, perimeter, and volume formulas and the Pythagorean theorem
5Use the on-screen calculator only after setting up the problem correctly

Frequently Asked Questions

How many questions are on Praxis Core Math (5733)?

ETS lists 56 selected-response questions with a 90-minute time limit, and an on-screen four-function calculator is provided.

What passing score do I need on Praxis Core Math?

Passing scores are set by each state agency or educator-prep program, not one national cutoff; many states require about 150 on the 100-200 scale. Confirm your jurisdiction's requirement before scheduling.

How much does the Praxis Core Math subtest cost?

ETS lists $90 for the individual Mathematics subtest, or $150 for the combined 5752 session with Reading and Writing.

Is a calculator allowed on Praxis Core Math?

Yes. ETS provides an on-screen four-function calculator. You may not bring your own, so practice with a simple calculator to mirror test conditions.