15 Praxis Core Math Practice Questions (+Free PDF)

Looking for free Praxis 5733 practice questions to brush up your math skills?

See and download 15 Praxis Core Math practice questions with answers and explanation plus full-length practice in Praxis test format.

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1.

In the Venn diagram shown, circle G represents the integers 2 to 10, inclusive, and circle H represents the integers 6 to 12, inclusive. How many integers are represented by the shaded region?

(A) Two
(B) Three
(C) Four
(D) Five
(E) Six

2.

In the figure shown, C is the center of the circle. Which of the following must be true?

(A) QC and RC have the same length.
(B) QR and RC have the same length.
(C) QC is perpendicular to QR.
(D) QR is perpendicular to RC.
(E) ΔQRC is equilateral.

3. A soft drink company surveyed a random sample of 1,240 people between the ages of 18 and 24 and found that 5 out of 8 of those surveyed liked the company’s new soft drink. Based on the results of the survey, if 200,000 people ages 18 to 24 were to try the new drink, which of the following statements would most likely be true?

(A) Between 90,000 and 100,000 people would like the new drink.
(B) Between 100,000 and 110,000 people would like the new drink.
(C) Between 110,000 and 120,000 people would like the new drink.
(D) Between 120,000 and 130,000 people would like the new drink.
(E) Between 130,000 and 140,000 people would like the new drink.

4. The table shown shows the distribution of men, women, boys, and girls in a group of 48 individuals. If one individual is to be selected at random from the group, what is the probability that the individual selected is a woman?

(A) 1/2
(B) 3/8
(C) 1/4
(D) 2/15
(E) 1/18

5. When 641.29 is divided by 10, which digit of the resulting number is in the tens place?

(A) 1
(B) 2
(C) 4
(D) 6
(E) 9

\dfrac{3}{2x}-\dfrac{1}{y}

6. If x ≠ 0 and y ≠ 0, which of the following is equivalent to the above equation?

(A) ~\dfrac{1}{xy}

(B) ~\dfrac{3}{2xy}

(C) ~\dfrac{3y-2x}{xy}

7. The number of absences in Ms. Klein’s class for each of the first 3 months of the year was 16, 12, and 17, respectively. If the average (arithmetic mean) number of absences for the first 4 months of the year was 14, how many absences were there in the fourth month?

(A) 9
(B) 10
(C) 11
(D) 12
(E) 13

8. At a computer store on Monday last week, the price of a computer was x dollars. On Tuesday, the price of the computer was reduced by 25% of Monday’s price. On Wednesday, the price of the computer was further reduced by 40% of Tuesday’s price. Which of the following expressions represents the price, in dollars, of the computer on Wednesday?

(A) (0.35)x
(B) (0.4)(0.25)x
(C) (0.4)(0.75)x
(D) (0.6)(0.25)x
(E) (0.6)(0.75)x

9. If 4x = 14 + 9y and y = 2, what is the value of x?

(A) 4
(B) 5
(C) 6
(D) 7
(E) 8

10. A student claimed, “Whenever you multiply two numbers, the product will always be greater than each of the two numbers you started with.” Which of the following pairs of numbers is a counterexample to the student’s claim?

(A) 4 and 5
(B) 3 and 4.5
(C) 2 and 3.5
(D) 1.5 and 2
(E) 0.5 and 2

11. LOADING

12.

The circle graph shown shows the distribution of the Chang family’s vacation budget over five categories. According to the graph, for how many of the five categories is the dollar amount of the budget category greater than $1,000?

(A) One
(B) Two
(C) Three
(D) Four
(E) Five

For the following questions, enter your answer in the answer boxes.

13. Helen budgets 2/5 of her monthly salary for food, and last month she spent 1/10 of her monthly salary on produce. What fraction of her food budget did Helen spend on produce last month?

14. A box of machine parts contains 6 times as many usable parts as defective parts. If there are exactly 882 parts in the box, how many of them are usable?

15.

In the diagram shown, Oak Street is parallel to Elm Street, Elm Street is parallel to Maple Drive, and Sycamore Street is perpendicular to Oak Street. Which of the following statements must be true?

(A) Oak Street is parallel to Maple Drive.
(B) Elm Street and Sycamore Street form right angles.
(C) Maple Drive and Sycamore Street form right angles.