How many questions are on the Praxis 5003 and how long is it?

The Praxis 5003 has 50 questions and a 65-minute time limit. Questions are selected-response (single- and multiple-selection multiple choice) plus numeric-entry, and an on-screen scientific calculator is provided within the test.

What score do I need to pass the Praxis 5003?

The Praxis 5003 passing score is set by each state or licensing agency rather than by ETS, on the scaled 100-to-200 range, with qualifying scores commonly in the ~140-159 range. Confirm the exact requirement for the state where you seek licensure.

What content categories are on the Praxis 5003?

ETS organizes the Praxis 5003 into three content categories: I. Numbers and Operations (about 40%, 20 questions), II. Algebraic Thinking (about 30%, 15 questions), and III. Geometry and Measurement, Data, Statistics, and Probability (about 30%, 15 questions).

Is a calculator allowed on the Praxis 5003?

Yes. An on-screen scientific calculator is built into the test and available throughout, so you do not bring a handheld calculator. ETS notes a calculator is helpful or necessary only on some questions, so decide how to solve each problem first.

How much does the Praxis 5003 cost?

The Praxis 5003 registration fee is set by ETS and is about $64 for the single subtest. Fees can change, so verify the current price on the ETS Praxis website before you register.

Is the Praxis 5003 the same as the 5001?

No. The 5003 is just the Mathematics subtest. The 5001 (Elementary Education: Multiple Subjects) is the full battery of four subtests — Reading and Language Arts (5002), Mathematics (5003), Social Studies (5004), and Science (5005) — which can be taken together or individually.

How soon can I retake the Praxis 5003 if I do not pass?

Praxis tests can generally be retaken after a 28-day waiting period from your previous test date, even for the same test. Each attempt requires paying the registration fee again, so build a study plan before rescheduling.

A student computes $ 6 \times 48 $ mentally. Which strategy uses the distributive property?

$ 6 \times 40 $ plus $ 6 \times 8 $

$ 6 \times 50 $ then subtract 12

FREE Praxis 5003 Practice Test 2026

Q: What are the eligibility requirements for the Praxis 5003?

ETS sets no formal prerequisites to register for the test itself. Eligibility to use the score for licensure is determined by your state or teacher-preparation program, so check whether your state requires the 5003 (often taken as part of the 5001 battery) and which passing score it accepts.

Click Start Test above to launch a full-length Praxis Elementary Education: Mathematics (5003) practice test weighted like the real exam, or drill a single content category — Numbers & Operations, Algebraic Thinking, or Geometry, Measurement & Data. Every question includes a worked explanation so you learn the reasoning, not just the answer.

The Praxis Elementary Education: Mathematics (5003) is a teacher licensure subtest administered by ETS. It is the mathematics portion of the Elementary Education: Multiple Subjects battery and measures the math a beginning elementary teacher is expected to know.

^[1] The test has 50 questions with a 65-minute time limit, and an on-screen scientific calculator is provided throughout. These free practice questions mirror the three content categories in ETS’s published outline.^[2]

Praxis 5003 is the math subtest of the broader Elementary Education: Multiple Subjects (5001) battery — explore all our Praxis practice tests to prep across the whole family.

Career Employer Praxis 5003 Student Data

Updated daily

Career Employer Praxis 5003 practice-test data · through Oct 12, 2026 · 83+ students

Geometry and Measurement, Data, Statistics, and Probability is the most-missed Praxis 5003 section on Career Employer: students get 70% of its practice questions right on the first try.^[8]

What 83+ Praxis 5003 students on Career Employer got wrong

First-try accuracy by exam section, hardest first^[8]

Geometry and Measurement, Data, Statistics, and Probability30% of exam
70%n=1,212
Numbers and Operations40% of exam
77%n=1,646
Algebraic Thinking30% of exam
80%n=1,097

Geometry and Measurement, Data, Statistics, and Probability is both the most-missed Praxis 5003 section (70% correct on the first try) and the section where students lose the most points — it’s 30% of the exam. Start here.^[8]

See Career Employer’s full Praxis 5003 student data ↓Our data & methodology

Source: Career Employer Praxis 5003 practice-test data, first attempt at each question only, Aug 29, 2026 – Oct 12, 2026. Our practice questions written to the official outline, not the official exam; self-selected sample; a student is one browser.

Praxis 5003 at a Glance

Praxis 5003 at a glance
Detail	Praxis 5003
Certifying Body	ETS (Educational Testing Service)
Total Questions	50 (selected-response and numeric-entry)
Time Limit	65 minutes
Calculator	On-screen scientific calculator provided
Score Range	100–200 (scaled)
Passing Score	Set by each state (commonly ~140–159)
Exam Fee	About $64 (single subtest)
Content Categories	3 (Numbers & Operations; Algebraic Thinking; Geometry, Measurement & Data)

What Is on the Praxis 5003?

ETS organizes the Praxis 5003 into three content categories: I. Numbers and Operations, II. Algebraic Thinking, and III. Geometry and Measurement, Data, Statistics, and Probability.^[2]

Numbers & Operations carries the heaviest weighting at 40% of the 50 questions, with the other two categories at 30% each. Our full practice test is weighted to match the outline:

Praxis 5003 weighting by content category

I. Numbers and Operations40% · ≈20 Qs

II. Algebraic Thinking30% · ≈15 Qs

III. Geometry, Measurement & Data30% · ≈15 Qs

Practice Questions by Category

Use Start Test for a full weighted Praxis 5003 simulation, or open the hub and pick a single content category to drill your weak spot. After each full exam, your results show a per-category breakdown so you know exactly where to focus — many candidates need the most reps in algebraic thinking and the geometry, measurement, and data topics.

What Are the Requirements to Take the Praxis 5003?

To take the Praxis 5003, ETS sets no formal prerequisites to register for the test itself — anyone can sign up and pay the fee to take it.

^[4] Eligibility to use the score, however, is governed by your state or teacher-preparation program. Each state decides whether the 5003 (often taken within the 5001 battery) is required for elementary licensure and which passing score it accepts.

^[7]Confirm your state’s specific requirement before you register so your attempt counts toward licensure.

How Do You Register for the Praxis 5003?

You register for the Praxis 5003 directly through ETS at praxis.org by creating an ETS account, selecting the Elementary Education: Mathematics (5003) subtest, choosing a test window and location, and paying the registration fee.

^[4] Most candidates test at a Prometric-style center or online with remote proctoring where offered, and an on-screen scientific calculator is built into the test so you bring nothing extra.^[6]

The single-subtest fee is about $64 and can change, so verify the current price and available dates on the ETS Praxis site before you register.

What Is the Passing Score for the Praxis 5003?

The Praxis 5003 passing score is set by each state or agency, not by ETS, on the scaled 100–200 range, with qualifying scores commonly in the 140–159 range.^[7]

The subtest is scored on your overall performance across the scored questions, with raw scores converted to that scaled score.^[5] Using a scaled score keeps the standard consistent as question difficulty varies between forms.

Your score report shows your scaled score and the passing score for the state you selected, so you know immediately whether you met that state’s requirement.^[7]

How Hard Is the Praxis 5003?

The Praxis 5003 is manageable but broad — 50 questions span place value, operations, fractions, ratios, number theory, algebraic thinking, geometry, measurement, and data and probability in just 65 minutes. ETS does not publish a single official first-time pass rate for the 5003.

The difficulty comes from breadth and pacing rather than advanced math: you have only about 78 seconds per question, and items range from quick recall to multi-step word problems and numeric-entry responses.

Questions

in 65 minutes

100–200

Scaled score range

cut score set by state

Content categories

numbers, algebra, geometry/data

The takeaway: refresh the topics you last used years ago — fractions, ratios and percents, number theory, and the geometry and data formulas — and practice the numeric-entry format so nothing on test day is unfamiliar.

On Career Employer, Praxis 5003 students miss Geometry and Measurement, Data, Statistics, and Probability most (70% right on the first try)^[8] — see the Praxis 5003 student data above.

What to Expect on Exam Day

The Praxis 5003 is a proctored, computer-delivered test.^[4] Arrive at least 30 minutes early to check in and bring a valid, unexpired government-issued photo ID whose name matches your ETS registration. You’ll store phones and personal items; no notes or personal calculators are allowed.

After a short tutorial, you have 65 minutes to answer 50 questions using the built-in on-screen scientific calculator.^[6] Because items mix quick recall with multi-step and numeric-entry problems, pace yourself and flag-and-return rather than over-investing in any one question.

ETS processes your results and posts an official score report to your account, showing your scaled score against the state passing score you selected.

How to Use This Praxis 5003 Practice Test

Recreate exam conditions. Take the full test timed, with no notes.
Diagnose, then drill. Use a full simulation to find weak categories, then drill them.
Refresh the basics. Fractions, ratios, percents, and number theory move scores the most.
Get fluent with the calculator. Practice deciding when the on-screen scientific calculator actually saves time.
Learn the why. Read every explanation — understanding the method beats memorizing.

Why Pass the Praxis 5003?

For most states, passing the Praxis 5003 is a required step toward an elementary teaching license — it signals to state boards and districts that you have the mathematics content mastery to teach elementary students.^[1]^[7] These free Praxis 5003 practice tests are the most efficient way to get exam-ready.

Conclusion

Passing the Praxis 5003 comes down to refreshing elementary and middle-grades math broadly and practicing under time pressure rather than cramming any single topic. Use this free Praxis 5003 practice test to find your weak categories, drill them to mastery, and build the pacing you need. For more, explore our full Praxis practice test library. On Career Employer, Praxis 5003 students lose the most points on Geometry and Measurement, Data, Statistics, and Probability (70% correct on the first try), so start your drilling there.^[8]

Praxis 5003 Practice Test FAQ

Praxis Elementary Education: Mathematics (5003) is a teacher licensure subtest administered by ETS. It is the mathematics portion of the Elementary Education: Multiple Subjects battery and measures the math content knowledge a beginning elementary (primary through upper elementary) teacher is expected to have.

Career Employer Praxis 5003 practice-test data, through Oct 12, 2026 · 83+ students

Every published Career Employer Praxis 5003 practice-test number, with its sample size, source and date
Metric	Value	n	Students	Source	Data through
First-try accuracy: Geometry and Measurement, Data, Statistics, and Probability (30% of the exam; costs 9 of every 100 exam points)	70%	1,212 answers	78	current question set	Oct 12, 2026
First-try accuracy: Numbers and Operations (40% of the exam; costs 9 of every 100 exam points)	77.4%	1,646 answers	83	current question set	Oct 12, 2026
First-try accuracy: Algebraic Thinking (30% of the exam; costs 6.1 of every 100 exam points)	79.8%	1,097 answers	82	current question set	Oct 12, 2026

Download Praxis 5003 data (CSV)Our data & methodology

First attempt at each question only; repeats, answers after revealing the explanation, bots and staff excluded. Aug 29, 2026 – Oct 12, 2026. Our practice questions written to the official outline, not the official exam; self-selected sample; a student is one browser. Free to reuse under CC BY 4.0 — cite “Career Employer practice-test data, careeremployer.com/data”.

Want the short version before you start the question bank? Our free Praxis 5003 cheat sheet condenses the highest-yield Praxis 5003 facts into one quick review for your final week.

Praxis 5003 question bank

All 126 questions, by domain

A reference copy of every question in this practice test. Each answer stays hidden until you choose to show it. To practice with scoring, timing and your readiness score, use Start Test at the top of the page.

Numbers and Operations (50)

What is the value of the digit 7 in the number 4,873?
- A.7
- B.7,000
- C.700
- D.70
Show answerHide answer
Correct answer: 70
The 7 is in the tens place, so its value is $7 \times 10 = 70$ .
Which number is equivalent to $3 \times 10^4 + 5 \times 10^2 + 6 \times 10^0$ ?
- A.30,506
- B.35,006
- C.30,560
- D.3,506
Show answerHide answer
Correct answer: 30,506
$3 \times 10{,}000 = 30{,}000$ ; $5 \times 100 = 500$ ; $6 \times 1 = 6$ . The tens and thousands places are 0, giving 30,506.
Round 47,382 to the nearest thousand.
- A.47,400
- B.47,000
- C.48,000
- D.47,300
Show answerHide answer
Correct answer: 47,000
The hundreds digit is 3, which is less than 5, so we round down, keeping the thousands digit as 7: 47,000.
Which list of numbers is in order from least to greatest?
- A.0.405, 0.45, 0.5
- B.0.45, 0.405, 0.5
- C.0.5, 0.405, 0.45
- D.0.5, 0.45, 0.405
Show answerHide answer
Correct answer: 0.405, 0.45, 0.5
Comparing place values: 0.405 < 0.450 < 0.500. So 0.405, 0.45, 0.5 is correct.
What is $\frac{3}{4} + \frac{2}{3}$ ?
- A. $\frac{5}{12}$
- B. $\frac{5}{7}$
- C. $\frac{6}{12}$
- D. $\frac{17}{12}$
Show answerHide answer
Correct answer: $\frac{17}{12}$
Using a common denominator of 12: $\frac{9}{12} + \frac{8}{12} = \frac{17}{12}$ .
What is $\frac{5}{6} - \frac{1}{4}$ ?
- A. $\frac{1}{2}$
- B. $\frac{7}{12}$
- C. $\frac{4}{2}$
- D. $\frac{4}{24}$
Show answerHide answer
Correct answer: $\frac{7}{12}$
Common denominator of 12: $\frac{10}{12} - \frac{3}{12} = \frac{7}{12}$ .
What is $\frac{2}{3} \times \frac{3}{5}$ ?
- A. $\frac{6}{15}$
- B. $\frac{6}{8}$
- C. $\frac{2}{5}$
- D. $\frac{5}{8}$
Show answerHide answer
Correct answer: $\frac{2}{5}$
Multiply numerators and denominators: $\frac{6}{15}$ , which simplifies to $\frac{2}{5}$ .
What is $\frac{3}{4} \div \frac{2}{5}$ ?
- A. $\frac{3}{10}$
- B. $\frac{6}{20}$
- C. $\frac{8}{15}$
- D. $\frac{15}{8}$
Show answerHide answer
Correct answer: $\frac{15}{8}$
Dividing by a fraction means multiplying by its reciprocal: $\frac{3}{4} \times \frac{5}{2} = \frac{15}{8}$ .
Which fraction is equivalent to 0.375?
- A. $\frac{1}{4}$
- B. $\frac{3}{5}$
- C. $\frac{3}{8}$
- D. $\frac{375}{100}$
Show answerHide answer
Correct answer: $\frac{3}{8}$
$0.375 = \frac{375}{1000}$ , which simplifies to $\frac{3}{8}$ .
What is 0.25 written as a fraction in lowest terms?
- A. $\frac{1}{4}$
- B. $\frac{25}{100}$
- C. $\frac{1}{5}$
- D. $\frac{2}{5}$
Show answerHide answer
Correct answer: $\frac{1}{4}$
$0.25 = \frac{25}{100} = \frac{1}{4}$ in lowest terms.
What is 40% of 250?
- A.10
- B.90
- C.625
- D.100
Show answerHide answer
Correct answer: 100
$40\% = 0.40$ , and $0.40 \times 250 = 100$ .
A shirt costs $40 and is discounted by 30%. What is the sale price?
- A.$12
- B.$28
- C.$30
- D.$10
Show answerHide answer
Correct answer: $28
30% of 40 is 12, so the discount is $12, leaving $40 - 12 = 28$ , or $28.
15 is what percent of 60?
- A.4%
- B.25%
- C.40%
- D.15%
Show answerHide answer
Correct answer: 25%
$\frac{15}{60} = 0.25 = 25\%$ .
A number increased from 80 to 100. What is the percent increase?
- A.125%
- B.20%
- C.80%
- D.25%
Show answerHide answer
Correct answer: 25%
The increase is 20, and $\frac{20}{80} = 0.25 = 25\%$ .
If 3 pounds of apples cost $4.50, what is the cost of 7 pounds at the same rate?
- A.$10.50
- B.$31.50
- C.$9.00
- D.$13.50
Show answerHide answer
Correct answer: $10.50
The unit price is $4.50/3 = 1.50$ , or $1.50 per pound, so $7 \times 1.50 = 10.50$ , giving $10.50.
A recipe for 4 servings uses 2 cups of flour. How many cups are needed for 10 servings?
- A.8 cups
- B.2.5 cups
- C.5 cups
- D.20 cups
Show answerHide answer
Correct answer: 5 cups
Set up the proportion $\frac{2}{4} = \frac{x}{10}$ , so $x = 5$ cups.
A car travels 180 miles in 3 hours. At this rate, how far will it travel in 5 hours?
- A.60 miles
- B.360 miles
- C.240 miles
- D.300 miles
Show answerHide answer
Correct answer: 300 miles
The rate is $180/3 = 60$ mph, so in 5 hours it travels $60 \times 5 = 300$ miles.
Which ratio is equivalent to 6:9?
- A.1:2
- B.2:3
- C.12:15
- D.3:2
Show answerHide answer
Correct answer: 2:3
Dividing both terms by 3 gives 2:3.
On a map, 1 inch represents 25 miles. How many miles do 4.5 inches represent?
- A.29.5 miles
- B.112.5 miles
- C.100 miles
- D.125 miles
Show answerHide answer
Correct answer: 112.5 miles
$4.5 \times 25 = 112.5$ miles.
What is the greatest common factor (GCF) of 24 and 36?
- A.4
- B.72
- C.6
- D.12
Show answerHide answer
Correct answer: 12
$24 = 2^3 \times 3$ and $36 = 2^2 \times 3^2$ ; the common factors give $2^2 \times 3 = 12$ .
What is the least common multiple (LCM) of 4 and 6?
- A.2
- B.12
- C.10
- D.24
Show answerHide answer
Correct answer: 12
Multiples of 4: 4, 8, 12; multiples of 6: 6, 12. The least common multiple is 12.
Which number is prime?
- A.21
- B.33
- C.29
- D.27
Show answerHide answer
Correct answer: 29
29 has no factors other than 1 and itself; $21 = 3 \times 7$ , $27 = 3^3$ , $33 = 3 \times 11$ .
Which number is divisible by both 3 and 4?
- A.24
- B.30
- C.20
- D.18
Show answerHide answer
Correct answer: 24
24 is divisible by 3 (2+4=6) and by 4 ( $24/4 = 6$ ); a number divisible by both must be divisible by 12.
What is the prime factorization of 60?
- A. $2^2 \times 3 \times 5$
- B. $2 \times 30$
- C. $2 \times 3 \times 10$
- D. $4 \times 15$
Show answerHide answer
Correct answer: $2^2 \times 3 \times 5$
$60 = 4 \times 15 = 2^2 \times 3 \times 5$ , all prime factors.
What is 7 - (-3)?
- A.-10
- B.-4
- C.4
- D.10
Show answerHide answer
Correct answer: 10
Subtracting a negative is the same as adding: 7 + 3 = 10.
What is -8 + 5?
- A.13
- B.3
- C.-13
- D.-3
Show answerHide answer
Correct answer: -3
Adding a smaller positive to a larger negative gives a negative: -8 + 5 = -3.
What is (-6) x (-4)?
- A.24
- B.10
- C.-10
- D.-24
Show answerHide answer
Correct answer: 24
A negative times a negative is positive: $6 \times 4 = 24$ .
Evaluate: $12 + 6 \div 3 \times 2$
- A.12
- B.8
- C.20
- D.16
Show answerHide answer
Correct answer: 16
Following order of operations: $6/3 = 2$ , then $2 \times 2 = 4$ , then $12 + 4 = 16$ .
Evaluate: $(5 + 3)^2 - 10$
- A.30
- B.18
- C.54
- D.38
Show answerHide answer
Correct answer: 54
Parentheses first: $5+3 = 8$ , then $8^2 = 64$ , then $64 - 10 = 54$ .
Evaluate: 24 / (4 + 2) + 3
- A.9
- B.6
- C.7
- D.12
Show answerHide answer
Correct answer: 7
Parentheses: $4+2 = 6$ , then $24/6 = 4$ , then $4 + 3 = 7$ .
What is the value of $2^5$ ?
- A.16
- B.10
- C.25
- D.32
Show answerHide answer
Correct answer: 32
$2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32$ .
What is $\sqrt{144}$ ?
- A.14
- B.12
- C.11
- D.72
Show answerHide answer
Correct answer: 12
$12 \times 12 = 144$ , so $\sqrt{144} = 12$ .
Estimate the sum 297 + 504 to the nearest hundred.
- A.700
- B.900
- C.800
- D.750
Show answerHide answer
Correct answer: 800
297 rounds to 300 and 504 rounds to 500, so 300 + 500 = 800.
A student computes $6 \times 48$ mentally. Which strategy uses the distributive property?
- A. $6 \times 40$ plus $6 \times 8$
- B. $6 \times 50$ then subtract 12
- C. $48 \times 6$ reversed
- D.Add 48 six times
Show answerHide answer
Correct answer: $6 \times 40$ plus $6 \times 8$
The distributive property splits 48 into 40 + 8: $6 \times 40 + 6 \times 8 = 240 + 48 = 288$ .
Which equation shows the commutative property of addition?
- A.A + (b + c) = (a + b) + c
- B.A + b = b + a
- C.A(b + c) = ab + ac
- D.A + 0 = a
Show answerHide answer
Correct answer: A + b = b + a
The commutative property states that order does not affect the sum: a + b = b + a.
Which equation illustrates the associative property of multiplication?
- A.(a x b) x c = a x (b x c)
- B.A x b = b x a
- C.A x 1 = a
- D.A x (b + c) = ab + ac
Show answerHide answer
Correct answer: (a x b) x c = a x (b x c)
The associative property concerns grouping: (a x b) x c = a x (b x c).
What is $6.4 \times 3$ ?
- A.9.4
- B.19.2
- C.192
- D.18.2
Show answerHide answer
Correct answer: 19.2
$6.4 \times 3 = 19.2$ .
What is 12.6 / 0.3?
- A.4.2
- B.0.42
- C.420
- D.42
Show answerHide answer
Correct answer: 42
Multiply both numbers by 10: $126/3 = 42$ .
What is $0.6 \times 0.4$ ?
- A.24
- B.2.4
- C.0.024
- D.0.24
Show answerHide answer
Correct answer: 0.24
$6 \times 4 = 24$ , and with two total decimal places the answer is 0.24.
A jacket regularly costs $80. After a 25% discount and then 8% sales tax on the discounted price, what is the final cost?
- A.$66.00
- B.$64.80
- C.$54.00
- D.$60.00
Show answerHide answer
Correct answer: $64.80
Discount: $80 \times 0.75 = 60$ , or $60. Tax: $60 \times 1.08 = 64.80$ , or $64.80.
Which mixed number equals the improper fraction $\frac{17}{5}$ ?
- A. $3\frac{3}{5}$
- B. $3\frac{2}{5}$
- C. $2\frac{3}{5}$
- D. $3\frac{1}{5}$
Show answerHide answer
Correct answer: $3\frac{2}{5}$
$17 \div 5$ is 3 with remainder 2, so $\frac{17}{5} = 3\frac{2}{5}$ .
Which is the best estimate of $\frac{7}{8} + \frac{11}{12}$ ?
- A.About $\frac{1}{2}$
- B.About 2
- C.About 1
- D.About 3
Show answerHide answer
Correct answer: About 2
Both fractions are close to 1, so their sum is approximately 2.
A class of 20 students has 12 girls. What percent of the class is girls?
- A.80%
- B.60%
- C.12%
- D.40%
Show answerHide answer
Correct answer: 60%
$\frac{12}{20} = 0.60 = 60\%$ .
Estimate $19.8 \times 4.9$ by rounding each factor to the nearest whole number.
- A.100
- B.80
- C.120
- D.95
Show answerHide answer
Correct answer: 100
19.8 rounds to 20 and 4.9 rounds to 5, so $20 \times 5 = 100$ .
Which number sentence correctly compares the fractions $\frac{3}{5}$ and $\frac{5}{8}$ ?
- A. $\frac{3}{5} = \frac{5}{8}$
- B. $\frac{3}{5} < \frac{5}{8}$
- C.Cannot be determined
- D. $\frac{3}{5} > \frac{5}{8}$
Show answerHide answer
Correct answer: $\frac{3}{5} < \frac{5}{8}$
Cross-multiplying: $3 \times 8 = 24$ and $5 \times 5 = 25$ ; since $24 < 25$ , $\frac{3}{5} < \frac{5}{8}$ .
Which fraction, decimal, and percent are all equal?
- A. $\frac{1}{4}$ , 0.4, 40%
- B. $\frac{1}{2}$ , 0.2, 20%
- C. $\frac{2}{5}$ , 0.25, 25%
- D. $\frac{3}{4}$ , 0.75, 75%
Show answerHide answer
Correct answer: $\frac{3}{4}$ , 0.75, 75%
$\frac{3}{4} = 0.75 = 75\%$ , which is the only set where all three forms match.
If 8 workers can complete a job in 6 days, how many days would 12 workers take, assuming the same rate?
- A.4 days
- B.18 days
- C.9 days
- D.3 days
Show answerHide answer
Correct answer: 4 days
Total work is $8 \times 6 = 48$ worker-days; with 12 workers that is $48/12 = 4$ days (inverse proportion).
A temperature drops from 5 degrees to -8 degrees. How many degrees did it fall?
- A.8
- B.13
- C.-13
- D.3
Show answerHide answer
Correct answer: 13
The change is 5 - (-8) = 13 degrees.
What is $\frac{2}{3}$ of 90?
- A.135
- B.30
- C.60
- D.45
Show answerHide answer
Correct answer: 60
$90 / 3 = 30$ , and $30 \times 2 = 60$ .
A teacher wants students to understand that $\frac{3}{4}$ and $\frac{6}{8}$ are equivalent. Which model best shows this?
- A.Two identical rectangles, one split into 4 parts and one into 8 parts, with equal shaded regions
- B.A number line with only whole numbers
- C.A tally chart
- D.A bar graph of test scores
Show answerHide answer
Correct answer: Two identical rectangles, one split into 4 parts and one into 8 parts, with equal shaded regions
Area models of the same whole partitioned differently with equal shaded amounts visually demonstrate equivalent fractions.

Algebraic Thinking (33)

Solve for x: x + 9 = 17.
- A.X = 7
- B.X = 9
- C.X = 8
- D.X = 26
Show answerHide answer
Correct answer: X = 8
Subtract 9 from both sides: x = 17 - 9 = 8.
Solve for x: 3x = 24.
- A.X = 21
- B.X = 8
- C.X = 6
- D.X = 72
Show answerHide answer
Correct answer: X = 8
Divide both sides by 3: $x = 24/3 = 8$ .
Solve for x: 2x + 5 = 17.
- A.X = 11
- B.X = 6
- C.X = 4
- D.X = 12
Show answerHide answer
Correct answer: X = 6
Subtract 5: 2x = 12, then divide by 2: x = 6.
Solve for x: x/4 = 7.
- A.X = 3
- B.X = 1.75
- C.X = 11
- D.X = 28
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Correct answer: X = 28
Multiply both sides by 4: x = 28.
Solve for x: 5x - 3 = 2x + 9.
- A.X = 2
- B.X = 6
- C.X = 3
- D.X = 4
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Correct answer: X = 4
Subtract 2x: 3x - 3 = 9; add 3: 3x = 12; divide: x = 4.
Solve the inequality: 2x + 1 > 9.
- A.X > 5
- B.X > 4
- C.X < 4
- D.X > 8
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Correct answer: X > 4
Subtract 1: 2x > 8; divide by 2: x > 4.
Solve the inequality: -3x < 12.
- A.X < 4
- B.X > -4
- C.X > 4
- D.X < -4
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Correct answer: X > -4
Dividing by a negative reverses the inequality: x > -4.
What is the next number in the pattern 2, 6, 18, 54, ...?
- A.150
- B.108
- C.162
- D.72
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Correct answer: 162
Each term is multiplied by 3, so $54 \times 3 = 162$ .
What is the next number in the pattern 3, 7, 11, 15, ...?
- A.19
- B.18
- C.20
- D.22
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Correct answer: 19
The pattern adds 4 each time, so 15 + 4 = 19.
In the pattern 1, 4, 9, 16, ..., what is the next term?
- A.24
- B.20
- C.25
- D.32
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Correct answer: 25
These are perfect squares ( $1^2, 2^2, 3^2, 4^2$ ), so the next is $5^2 = 25$ .
If y = 3x - 2, what is y when x = 4?
- A.12
- B.14
- C.10
- D.7
Show answerHide answer
Correct answer: 10
Substitute x = 4: y = 3(4) - 2 = 12 - 2 = 10.
Evaluate the expression 4a + 3b when a = 2 and b = 5.
- A.23
- B.29
- C.18
- D.20
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Correct answer: 23
4(2) + 3(5) = 8 + 15 = 23.
A table shows that when x = 1, y = 5; x = 2, y = 8; x = 3, y = 11. Which rule fits?
- A.Y = 3x + 2
- B.Y = 5x
- C.Y = 2x + 3
- D.Y = x + 4
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Correct answer: Y = 3x + 2
The y-values increase by 3 for each step in x (slope 3), and at x = 0 the value is 2: y = 3x + 2.
Which expression represents 'five less than three times a number n'?
- A.3(n - 5)
- B.5 - 3n
- C.3n - 5
- D.5n - 3
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Correct answer: 3n - 5
Three times a number is 3n, and five less than that is 3n - 5.
Tickets cost $8 each plus a $3 service fee per order. Which expression gives the total cost for $t$ tickets?
- A.8t + 3
- B.11t
- C.8 + 3t
- D.8t + 3t
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Correct answer: 8t + 3
The per-ticket cost is 8t and the one-time fee is 3, giving 8t + 3.
The cost to rent a kayak is $15 plus $10 per hour. How much does it cost to rent for 4 hours?
- A.$25
- B.$60
- C.$40
- D.$55
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Correct answer: $55
Cost $= 15 + 10(4) = 15 + 40 = 55$ , or $55.
What is the slope of the line passing through points (2, 3) and (6, 11)?
- A.4
- B. $\frac{1}{2}$
- C.2
- D.8
Show answerHide answer
Correct answer: 2
Slope $= \frac{11 - 3}{6 - 2} = \frac{8}{4} = 2$ .
Simplify: 3(x + 4) - 2x.
- A.X + 7
- B.5x + 12
- C.X + 4
- D.X + 12
Show answerHide answer
Correct answer: X + 12
Distribute: 3x + 12 - 2x = x + 12.
A number doubled and then increased by 7 equals 21. What is the number?
- A.28
- B.7
- C.10
- D.14
Show answerHide answer
Correct answer: 7
Solve 2x + 7 = 21: 2x = 14, x = 7.
If 4x - 1 = 2x + 7, what is the value of x?
- A.4
- B.8
- C.2
- D.3
Show answerHide answer
Correct answer: 4
Subtract 2x: 2x - 1 = 7; add 1: 2x = 8; x = 4.
Which of the following is a function?
- A.{(1,2),(2,2),(3,2)}
- B.{(1,2),(1,3),(2,4)}
- C.{(2,1),(2,3),(4,5)}
- D.{(3,1),(3,2),(3,3)}
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Correct answer: {(1,2),(2,2),(3,2)}
A function assigns each input exactly one output; only {(1,2),(2,2),(3,2)} has no repeated input with different outputs.
A pattern of squares uses 4 tiles for figure 1, 7 for figure 2, and 10 for figure 3. How many tiles are in figure 5?
- A.15
- B.16
- C.19
- D.13
Show answerHide answer
Correct answer: 16
The pattern adds 3 each time, starting at 4: figure n = 3n + 1, so figure 5 = 16.
If a + b = 12 and a = 2b, what is the value of b?
- A.6
- B.4
- C.8
- D.3
Show answerHide answer
Correct answer: 4
Substitute a = 2b: 2b + b = 12, so 3b = 12 and b = 4.
Which equation has the solution x = -3?
- A.X + 5 = 2
- B.X + 3 = 6
- C.X - 3 = 0
- D.2x = 6
Show answerHide answer
Correct answer: X + 5 = 2
Substituting x = -3 into x + 5 = 2 gives -3 + 5 = 2, which is true.
A line passes through (0, 4) and has slope 2. What is its equation?
- A.Y = 2x + 4
- B.Y = 4x - 2
- C.Y = 4x + 2
- D.Y = 2x - 4
Show answerHide answer
Correct answer: Y = 2x + 4
In slope-intercept form y = mx + b, the slope m = 2 and y-intercept b = 4: y = 2x + 4.
Which point lies on the line y = 3x - 1?
- A.(1, 5)
- B.(2, 6)
- C.(2, 5)
- D.(0, 1)
Show answerHide answer
Correct answer: (2, 5)
Substituting x = 2: y = 3(2) - 1 = 5, so (2, 5) is on the line.
Solve for $x$ : $\frac{x}{3} + 2 = 8$ .
- A. $18$
- B. $6$
- C. $30$
- D. $2$
Show answerHide answer
Correct answer: $18$
Subtract 2 from both sides to get $\frac{x}{3} = 6$ , then multiply both sides by 3: $x = 18$ .
A function is defined by $f(x) = 2x + 1$ . What is $f(5)$ ?
- A. $11$
- B. $10$
- C. $7$
- D. $12$
Show answerHide answer
Correct answer: $11$
Substitute $x = 5$ : $f(5) = 2(5) + 1 = 11$ .
What is the next term in the arithmetic sequence $5,\ 9,\ 13,\ 17,\ \ldots$ ?
- A. $21$
- B. $20$
- C. $22$
- D. $19$
Show answerHide answer
Correct answer: $21$
The common difference is $4$ , so the next term is $17 + 4 = 21$ .
Which expression is equivalent to $2(3x - 4) + 5$ ?
- A. $6x - 3$
- B. $6x - 8$
- C. $6x + 1$
- D. $5x - 3$
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Correct answer: $6x - 3$
Distribute: $6x - 8 + 5 = 6x - 3$ .
The number of legs $L$ on $c$ chairs is given by $L = 4c$ . How many legs are on 9 chairs?
- A. $36$
- B. $13$
- C. $32$
- D. $40$
Show answerHide answer
Correct answer: $36$
Substitute $c = 9$ : $L = 4 \times 9 = 36$ .
Solve the inequality $3x - 4 \le 11$ .
- A. $x \le 5$
- B. $x \ge 5$
- C. $x \le 7$
- D. $x \le \tfrac{7}{3}$
Show answerHide answer
Correct answer: $x \le 5$
Add 4 to both sides: $3x \le 15$ ; divide by 3: $x \le 5$ .
A table shows the rule between $x$ and $y$ : $(1,4),\ (2,7),\ (3,10)$ . Which equation fits?
- A. $y = 3x + 1$
- B. $y = x + 3$
- C. $y = 4x$
- D. $y = 2x + 2$
Show answerHide answer
Correct answer: $y = 3x + 1$
Each increase of 1 in $x$ raises $y$ by 3, and $y = 1$ would be $3(0)+1$ ; so $y = 3x + 1$ . Check: $3(2)+1 = 7$ .

Geometry and Measurement, Data, Statistics, and Probability (43)

What is the perimeter of a rectangle with length 9 cm and width 4 cm?
- A.36 cm
- B.22 cm
- C.13 cm
- D.26 cm
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Correct answer: 26 cm
Perimeter = 2(length + width) = 2(9 + 4) = 26 cm.
What is the area of a rectangle with length 12 m and width 5 m?
- A.60 m
- B. $34 \text{ m}^2$
- C. $60 \text{ m}^2$
- D. $17 \text{ m}^2$
Show answerHide answer
Correct answer: $60 \text{ m}^2$
Area = length $\times$ width $= 12 \times 5 = 60$ square meters.
What is the area of a triangle with base 10 in and height 6 in?
- A. $30 \text{ in}^2$
- B. $60 \text{ in}^2$
- C. $120 \text{ in}^2$
- D. $16 \text{ in}^2$
Show answerHide answer
Correct answer: $30 \text{ in}^2$
Area of a triangle $= \frac{1}{2}(\text{base})(\text{height}) = \frac{1}{2}(10)(6) = 30$ square inches.
What is the area of a circle with radius 5 cm? (Use pi = 3.14.)
- A. $31.4 \text{ cm}^2$
- B. $78.5 \text{ cm}^2$
- C. $157 \text{ cm}^2$
- D. $15.7 \text{ cm}^2$
Show answerHide answer
Correct answer: $78.5 \text{ cm}^2$
Area $= \pi \times r^2 = 3.14 \times 25 = 78.5$ square centimeters.
What is the circumference of a circle with diameter 10 m? (Use pi = 3.14.)
- A.78.5 m
- B.31.4 m
- C.15.7 m
- D.62.8 m
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Correct answer: 31.4 m
Circumference $= \pi \times \text{diameter} = 3.14 \times 10 = 31.4$ meters.
What is the volume of a rectangular box that is 4 cm by 3 cm by 2 cm?
- A. $9 \text{ cm}^3$
- B. $12 \text{ cm}^3$
- C. $24 \text{ cm}^3$
- D. $26 \text{ cm}^3$
Show answerHide answer
Correct answer: $24 \text{ cm}^3$
Volume = length $\times$ width $\times$ height $= 4 \times 3 \times 2 = 24$ cubic centimeters.
How many degrees are in the angles of a triangle altogether?
- A.90
- B.360
- C.180
- D.270
Show answerHide answer
Correct answer: 180
The sum of the interior angles of any triangle is 180 degrees.
Two angles of a triangle measure 50 degrees and 60 degrees. What is the third angle?
- A.80
- B.110
- C.70
- D.50
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Correct answer: 70
The angles sum to 180, so the third is 180 - 50 - 60 = 70 degrees.
What is the measure of a right angle?
- A.90 degrees
- B.180 degrees
- C.45 degrees
- D.360 degrees
Show answerHide answer
Correct answer: 90 degrees
A right angle measures exactly 90 degrees.
Two angles are supplementary. If one is 115 degrees, what is the other?
- A.75 degrees
- B.245 degrees
- C.25 degrees
- D.65 degrees
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Correct answer: 65 degrees
Supplementary angles sum to 180 degrees, so 180 - 115 = 65 degrees.
A quadrilateral with exactly one pair of parallel sides is a:
- A.Parallelogram
- B.Rhombus
- C.Rectangle
- D.Trapezoid
Show answerHide answer
Correct answer: Trapezoid
A trapezoid has exactly one pair of parallel sides.
How many sides does a hexagon have?
- A.8
- B.6
- C.7
- D.5
Show answerHide answer
Correct answer: 6
A hexagon is a six-sided polygon.
Which solid has all faces that are congruent squares?
- A.Triangular prism
- B.Cylinder
- C.Rectangular prism
- D.Cube
Show answerHide answer
Correct answer: Cube
A cube has six congruent square faces.
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
- A.100
- B.48
- C.10
- D.14
Show answerHide answer
Correct answer: 10
By the Pythagorean theorem: $6^2 + 8^2 = 36 + 64 = 100$ , and $\sqrt{100} = 10$ .
How many feet are in 4 yards?
- A.16
- B.12
- C.48
- D.8
Show answerHide answer
Correct answer: 12
There are 3 feet in a yard, so $4 \times 3 = 12$ feet.
How many centimeters are in 2.5 meters?
- A.2,500 cm
- B.25 cm
- C.250 cm
- D.0.025 cm
Show answerHide answer
Correct answer: 250 cm
There are 100 centimeters in a meter, so $2.5 \times 100 = 250$ cm.
How many ounces are in 3 pounds?
- A.32
- B.48
- C.36
- D.16
Show answerHide answer
Correct answer: 48
There are 16 ounces in a pound, so $3 \times 16 = 48$ ounces.
How many minutes are in 2.5 hours?
- A.150
- B.90
- C.120
- D.250
Show answerHide answer
Correct answer: 150
There are 60 minutes in an hour, so $2.5 \times 60 = 150$ minutes.
A square has a perimeter of 36 cm. What is the length of one side?
- A.9 cm
- B.12 cm
- C.4 cm
- D.6 cm
Show answerHide answer
Correct answer: 9 cm
A square has 4 equal sides, so each side is $36/4 = 9$ cm.
A rectangle has area $48 \text{ cm}^2$ and length 8 cm. What is its width?
- A.6 cm
- B.5 cm
- C.12 cm
- D.40 cm
Show answerHide answer
Correct answer: 6 cm
Width = area / length $= 48/8 = 6$ cm.
A figure is reflected over a vertical line. This transformation is a:
- A.Dilation
- B.Translation
- C.Rotation
- D.Reflection
Show answerHide answer
Correct answer: Reflection
A reflection flips a figure over a line, producing a mirror image.
Which transformation changes the size of a figure but not its shape?
- A.Rotation
- B.Translation
- C.Dilation
- D.Reflection
Show answerHide answer
Correct answer: Dilation
A dilation enlarges or reduces a figure proportionally, keeping the same shape.
What is the mean of the data set 4, 8, 10, 6, 12?
- A.8
- B.10
- C.40
- D.6
Show answerHide answer
Correct answer: 8
Sum = 40 and there are 5 values, so the mean is $40/5 = 8$ .
What is the median of the data set 3, 7, 9, 12, 15?
- A.12
- B.9
- C.9.2
- D.7
Show answerHide answer
Correct answer: 9
The values are ordered and the middle value of five numbers is the third, which is 9.
What is the mode of the data set 2, 4, 4, 5, 7, 4, 9?
- A.4
- B.9
- C.7
- D.5
Show answerHide answer
Correct answer: 4
The mode is the most frequent value; 4 appears three times.
What is the range of the data set 12, 5, 18, 7, 20?
- A.13
- B.12
- C.15
- D.20
Show answerHide answer
Correct answer: 15
Range = maximum - minimum = 20 - 5 = 15.
The median of the data set 4, 6, 8, 10 is:
- A.8
- B.7
- C.6
- D.9
Show answerHide answer
Correct answer: 7
With an even number of values, the median is the average of the two middle values: (6 + 8)/2 = 7.
A bag has 3 red, 2 blue, and 5 green marbles. What is the probability of drawing a blue marble?
- A. $\frac{2}{5}$
- B. $\frac{3}{10}$
- C. $\frac{1}{2}$
- D. $\frac{1}{5}$
Show answerHide answer
Correct answer: $\frac{1}{5}$
There are 10 marbles total and 2 are blue, so the probability is $\frac{2}{10} = \frac{1}{5}$ .
What is the probability of rolling an even number on a standard six-sided die?
- A. $\frac{1}{3}$
- B. $\frac{1}{2}$
- C. $\frac{1}{6}$
- D. $\frac{2}{3}$
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Correct answer: $\frac{1}{2}$
Three of six outcomes (2, 4, 6) are even, so the probability is $\frac{3}{6} = \frac{1}{2}$ .
A coin is flipped twice. What is the probability of getting two heads?
- A. $\frac{1}{3}$
- B. $\frac{1}{4}$
- C. $\frac{2}{3}$
- D. $\frac{1}{2}$
Show answerHide answer
Correct answer: $\frac{1}{4}$
Each flip is independent with probability $\frac{1}{2}$ , so $(\frac{1}{2})(\frac{1}{2}) = \frac{1}{4}$ .
A spinner has 8 equal sections numbered 1 to 8. What is the probability of landing on a number greater than 5?
- A. $\frac{1}{2}$
- B. $\frac{5}{8}$
- C. $\frac{1}{4}$
- D. $\frac{3}{8}$
Show answerHide answer
Correct answer: $\frac{3}{8}$
The numbers greater than 5 are 6, 7, 8 (three outcomes), so the probability is $\frac{3}{8}$ .
If the mean of five test scores is 82, what is the sum of the scores?
- A.400
- B.164
- C.410
- D.82
Show answerHide answer
Correct answer: 410
Mean $\times$ count = sum, so $82 \times 5 = 410$ .
Adding which value to the set 10, 20, 30 will keep the mean at 20?
- A.20
- B.0
- C.40
- D.60
Show answerHide answer
Correct answer: 20
Adding a value equal to the current mean (20) leaves the mean unchanged.
In a data set, which measure of central tendency is most affected by an extreme outlier?
- A.Mean
- B.Median
- C.Range
- D.Mode
Show answerHide answer
Correct answer: Mean
The mean uses every value, so a very large or small outlier shifts it the most.
A teacher draws one name from a hat of 25 students; 5 are in band. What is the probability the chosen student is NOT in band?
- A. $\frac{4}{5}$
- B. $\frac{5}{25}$
- C. $\frac{1}{5}$
- D. $\frac{1}{25}$
Show answerHide answer
Correct answer: $\frac{4}{5}$
20 of 25 are not in band, so the probability is $\frac{20}{25} = \frac{4}{5}$ .
Which sampling method is most likely to produce an unbiased sample of a school's students?
- A.Surveying students leaving the cafeteria
- B.Surveying only the basketball team
- C.Surveying randomly selected students from all grades
- D.Surveying the first 10 students to arrive
Show answerHide answer
Correct answer: Surveying randomly selected students from all grades
A random sample drawn from all grades best represents the whole population.
A line plot shows shoe sizes: 6 appears twice, 7 appears five times, 8 appears three times. How many students are represented?
- A.21
- B.10
- C.12
- D.3
Show answerHide answer
Correct answer: 10
Add the frequencies: 2 + 5 + 3 = 10 students.
A number cube is rolled. What is the probability of rolling a 7?
- A. $\frac{1}{7}$
- B. $\frac{1}{6}$
- C.1
- D.0
Show answerHide answer
Correct answer: 0
A standard six-sided die has no 7, so the event is impossible with probability 0.
A student has scores of 78, 85, and 92. What score on a fourth test gives a mean of 86?
- A.84
- B.89
- C.86
- D.90
Show answerHide answer
Correct answer: 89
The total needed is $86 \times 4 = 344$ ; current total is 255, so the fourth score is $344 - 255 = 89$ .
What is the surface-area-relevant count of edges on a cube?
- A.8
- B.6
- C.4
- D.12
Show answerHide answer
Correct answer: 12
A cube has 12 edges, 8 vertices, and 6 faces.
A rectangular garden is 15 ft long and 8 ft wide. How much fencing is needed to enclose it?
- A.46 ft
- B.23 ft
- C.120 ft
- D. $120 \text{ ft}^2$
Show answerHide answer
Correct answer: 46 ft
Fencing is the perimeter: 2(15 + 8) = 2(23) = 46 ft.
A cylinder has radius 3 cm and height 10 cm. What is its volume? (Use $\pi \approx 3.14$ .)
- A. $282.6\ \text{cm}^3$
- B. $94.2\ \text{cm}^3$
- C. $188.4\ \text{cm}^3$
- D. $565.2\ \text{cm}^3$
Show answerHide answer
Correct answer: $282.6\ \text{cm}^3$
Volume of a cylinder is $V = \pi r^2 h = 3.14 \times 3^2 \times 10 = 3.14 \times 90 = 282.6\ \text{cm}^3$ .
The data set $6,\ 9,\ 9,\ 12,\ 14$ has what mean?
- A. $10$
- B. $9$
- C. $11$
- D. $12$
Show answerHide answer
Correct answer: $10$
Sum is $6+9+9+12+14 = 50$ ; divide by 5 values: $50 \div 5 = 10$ .

References

1.ETS. “Elementary Education: Mathematics Subtest (5003).” praxis.ets.org, 2026. ↑
2.ETS. “Elementary Education: Multiple Subjects (5001) Study Companion.” praxis.ets.org. ↑
3.ETS. “Praxis Elementary Education: Multiple Subjects (5001).” praxis.ets.org. ↑
4.ETS. “Praxis Tests — Register for a Test.” ets.org. ↑
5.ETS. “Praxis Tests — Scores.” praxis.ets.org. ↑
6.ETS. “Praxis — Calculator Use.” ets.org. ↑
7.ETS. “Praxis — State Requirements and Passing Scores.” ets.org. ↑
8.Career Employer. “Praxis 5003 practice-test performance data.” careeremployer.com, updated daily, CC BY 4.0. ↑

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Your FREE Praxis Elementary Education: Mathematics (5003) Practice Test 2026 – 120+ Q&A

Praxis 5003 Test Prep