Praxis 5733
Core Academic Skills: Mathematics
Maryland Passing Score
150
MSDE Score Code
7403
Retake Wait
28 days
Score Valid
10 years
10 Free Practice Questions
Question 1 · Number and Quantity
Fractions, decimals, and percents are three ways of representing the same value. What is 3/4 expressed as a percent?
- A
- B
- C
- D
Explanation
3 ÷ 4 = 0.75, and 0.75 × 100 = 75%. A is wrong because 34% incorrectly concatenates the numerator and denominator digits. B is wrong because 0.75% is the decimal itself treated as a percent, which gives a drastically smaller value. D is wrong because 43% reverses the numerator and denominator before converting.
Question 2 · Number and Quantity
An integer is any whole number, its negative counterpart, or zero. Which of the following lists contains only integers?
- A
- B
- C
- D
Explanation
The list -3, 0, 5, 11 contains only whole numbers and their negatives, all of which are integers. B is wrong because 0.5 is a decimal, not an integer. C is wrong because 2.7 is a decimal, not an integer. D is wrong because 1/3 is a fraction, not an integer.
Question 3 · Number and Quantity
The greatest common factor (GCF) of two numbers is the largest positive integer that divides both numbers without a remainder. What is the GCF of 24 and 36?
- A
- B
- C
- D
Explanation
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24, and the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. The largest common factor is 12. A is wrong because 6 is a common factor but not the greatest one. C is wrong because 72 is the LCM, not the GCF. D is wrong because 4 is a common factor but smaller than 12.
Question 4 · Number and Quantity
Exponents indicate how many times a base number is multiplied by itself. What is the value of 2⁵?
- A
- B
- C
- D
Explanation
2⁵ means 2 × 2 × 2 × 2 × 2 = 32. A is wrong because 10 results from multiplying the base by the exponent (2 × 5), which is not how exponents work. B is wrong because 25 reverses the base and exponent (5²). D is wrong because 16 = 2⁴, not 2⁵.
Question 5 · Number and Quantity
A square root of a number n is a value that, when multiplied by itself, gives n. What is √144?
- A
- B
- C
- D
Explanation
12 × 12 = 144, so √144 = 12. A is wrong because 11 × 11 = 121, not 144. B is wrong because 14 × 14 = 196, not 144. D is wrong because 72 is 144 ÷ 2, which is not how square roots are calculated.
Question 6 · Number and Quantity
Even numbers are integers divisible by 2, and odd numbers are integers not divisible by 2. Which of the following is an odd number?
- A
- B
- C
- D
Explanation
83 ÷ 2 = 41.5, confirming it is not divisible by 2, so it is odd. A is wrong because 48 ÷ 2 = 24, making it even. B is wrong because 74 ÷ 2 = 37, making it even. C is wrong because 100 ÷ 2 = 50, making it even.
Question 7 · Number and Quantity
A percentage can always be converted to a decimal by dividing by 100. What decimal is equivalent to 34%?
- A
- B
- C
- D
Explanation
34% ÷ 100 = 0.34. Choice A (34.0) would correspond to 3400%, not 34%. Choice B (3.4) would correspond to 340%. Choice C (0.034) would correspond to 3.4%, not 34%.
Question 8 · Number and Quantity
What is the absolute value of −18? The absolute value of a number represents its distance from zero on the number line.
- A
- B
- C
- D
Explanation
The absolute value of any number is its non-negative distance from zero, so |−18| = 18. A is wrong because absolute value is never negative. C is wrong because 1/18 is the reciprocal of 18, not the absolute value of −18. D is wrong because 0 is only the absolute value of 0 itself.
Question 9 · Number and Quantity
A percent represents a ratio out of 100 and is commonly used to describe proportions. What is 35% expressed as a decimal?
- A
- B
- C
- D
Explanation
To convert a percent to a decimal, divide by 100: 35 ÷ 100 = 0.35. A is wrong because 3.5 would equal 350%, not 35%. B is wrong because 0.035 equals 3.5%, not 35%. D is wrong because 35 is the percent value itself, not its decimal equivalent.
Question 10 · Number and Quantity
The greatest common factor (GCF) of two numbers is the largest number that divides both without a remainder. What is the GCF of 18 and 24?
- A
- B
- C
- D
Explanation
Factors of 18: 1, 2, 3, 6, 9, 18. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. The largest common factor is 6. Choice A (3) is a common factor but not the greatest. Choice C (9) divides 18 but does not divide 24. Choice D (12) divides 24 but does not divide 18.
Frequently Asked Questions
What is the Maryland passing score for Praxis 5733?
The Maryland passing score for the Praxis 5733 (Core Academic Skills: Mathematics) is 150. This is set by MSDE and differs from other states. Always verify current requirements at msde.maryland.gov.
What is the MSDE score recipient code for Maryland?
The Maryland State Department of Education (MSDE) score recipient code is 7403. Select this code at every Praxis registration to have your scores sent directly to MSDE for licensure processing.
How long do I have to wait to retake the Praxis 5733?
Maryland requires a 28-day wait between Praxis 5733 attempts. This wait applies regardless of your score. Plan your test dates accordingly.
How many questions are on the Praxis 5733?
The Praxis 5733 contains 120 selected-response questions plus 2 constructed-response items (for PLT exams). You have 2 hours to complete the exam.
What domains does the Praxis 5733 cover?
The Praxis 5733 covers content knowledge specific to Core Academic Skills: Mathematics. See the official ETS test framework for the complete domain breakdown.
How long are Praxis 5733 scores valid in Maryland?
Praxis scores are valid for 10 years from the test date in Maryland. Scores do not expire for the purposes of Maryland teacher certification within this window.
Can I use a calculator on the Praxis 5733?
Yes — a four-function, scientific, or graphing calculator is available on-screen during the Praxis 5733. You do not need to bring your own.
Does PraxisPass tell me when I'm ready to book the Praxis 5733?
Yes. PraxisPass is the only platform that tells you exactly when to book your exam. When your Pass Probability Score (PPS) for the 5733 reaches 90%, sustained over 7 consecutive days with 2 passing mock exams, PraxisPass declares you ready and prompts you to schedule.
Is PraxisPass free to use for the Praxis 5733?
PraxisPass offers a permanent free tier that includes your Exam Readiness Score diagnostic, Pass Probability Score baseline, and your first complete 25-minute study mission for the 5733. The Individual plan at $19/month unlocks unlimited study sessions across all 50+ Maryland Praxis exams.