**Praxis Core Math: Guide and Free Practice Test (2021)**

### Last updated 12/2020

A great way to get a head start on your Praxis Core Academic Skills for Educators math test, is by taking the Praxis Core Math practice test. Once you take our Praxis Core Math test, you’ll know what to expect from the real test.

Prepterminal’s Praxis Core Math practice test features, geometry, algebra and functions, and probability and statistics. We created this test to give you insight into your current testing level.

**Take our free Praxis Core Math test today, and see how well you do.**

#### Quiz Summary

0 of 15 questions completed

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- Review

- Question 1 of 15
##### 1. Question

**The perimeter of a square is 20 cm. What is its area in cm**^{2}**?**CorrectIncorrect - Question 2 of 15
##### 2. Question

**The angles of a triangle are at a ratio 2:3:5. What is the measure of the greatest angle?**CorrectIncorrect - Question 3 of 15
##### 3. Question

**One leg of a right triangle is 16 inches long and the hypotenuse is 20 inches long. What is the area of this triangle in square inches?**CorrectIncorrect - Question 4 of 15
##### 4. Question

The area of a right triangle is equal to that of a square by side length 12 cm. The legs of the right triangle a and b are at a ratio 2:9 to each other. Calculate the length of the smaller leg of the right triangle.

CorrectIncorrect - Question 5 of 15
##### 5. Question

**What is the area of the parallelogram in the figure?**CorrectIncorrect - Question 6 of 15
##### 6. Question

What is/are the root(s) of equation

2/x=8x

for x ≠ 0.CorrectIncorrect - Question 7 of 15
##### 7. Question

What is the value of x if

2/3-5/2x+4/3x=1/6x

for x ≠ 0?CorrectIncorrect - Question 8 of 15
##### 8. Question

Solve the equation

2/x+x/2=2

for x ≠ 0.CorrectIncorrect - Question 9 of 15
##### 9. Question

The distance between two towns is 120 km. Two cars start travelling simultaneously from A to B. The first car moves at a speed of 10 km/h greater than the second car, so it reaches the town B 36 minutes before the second car. What is the speed of the first (fastest) car?

CorrectIncorrect - Question 10 of 15
##### 10. Question

What is the solution set of the equation

3x=-6/1-x

for x ≠ 1?CorrectIncorrect - Question 11 of 15
##### 11. Question

How many solutions does the equation 3x – 2 = -3 + 4x – (x -1) have?

CorrectIncorrect - Question 12 of 15
##### 12. Question

How many roots does the equation 5 – 4x = 2x – (3 + 6x) -1 have?

CorrectIncorrect - Question 13 of 15
##### 13. Question

How many solutions does the equation (x-3)/4=(2x-1)/5 have?

CorrectIncorrect - Question 14 of 15
##### 14. Question

What is the solution of the equation

(2x-1)/3+2=x/4CorrectIncorrect - Question 15 of 15
##### 15. Question

What is/are the solution(s) of the equation 2x

^{2}– 9x +12 = 8?CorrectIncorrect

**The Praxis Core Math Section in Detail**

The Praxis Core Math test features 56 questions and needs to be completed within 90 minutes. The test comprises multiple-choice questions, which ask you to choose one answer. It also features multiple-choice questions, which ask you to choose one or more answers.

Other features include:

- Numeric entry items
- On-screen calculator (except for in the Khan Academy’s practice system)

The Core Academic Skills for Educators test in Mathematics assesses the academic knowledge in mathematics, required to successfully prepare for an education career. All the competencies required are necessary for career and college readiness. And, are in keeping with the Common Core State Standards for Mathematics.

**What’s on the Praxis Math test?**

The Praxis Math tests features four central areas:

- Algebra and Functions
- Number and Quantity
- Geometry
- Statistics and Probability

A lot of the items demand the integration of many skills.

### Number and Quantity

This area features items about:

- Place value
- Properties of whole numbers
- Understanding of order among fractions
- Representation of a number in more than one way
- Counter examples
- Ratios, rates, and percents

### Algebra and functions

This area features items about:

- Manipulating expressions and equations
- Forming expressions and equations from verbal descriptions
- Answering linear and quadratic equations
- Answering algebraic word problems

### Geometry

This area features items about:

- Angle relationships
- Characteristics and properties of geometric shapes
- Circles
- Congruence and similarity

### Statistics and Probability

This area features items about:

- Interpreting and reading visual display of quantitative data
- Knowing the correspondence between data and graph
- Forming inferences from a given data display
- Finding mean, median, and mode
- Giving a probability to an outcome

**How to Beat the Praxis Core exam with Prepterminal’s course**

Praxis tests are a must, in many states, if you wish to become a teacher. In most states this test forms an important, and unavoidable, part of the process of becoming a teacher. Thus, it is crucial that you come to the Praxis test ready and confident. And, a proven way to do this is to prepare in advance. To begin with, you can also take our free Core Writing and Core Reading tests.

At Prepterminal, we have also carefully created a Core Guide so that you can find all you need to know about the Praxis Core in one place. And, for those of you who take your teaching career seriously, we have created a comprehensive modular Praxis Core Prep Course. This course includes 1 reading guide, 2 writing guides, 13 maths guides, and 1 graphic literacy & data sets guide. It also features 3 reading tests, 13 writing tests, 13 maths tests, and 1 graphic literacy and data sets test.

Learn all you need to know about the Praxis tests with us at Prepterminal.

*Note: Praxis and other trademarks are the property of their respective trademark holders. None of the trademark holders are affiliated with PrepTerminal or this website.

**Praxis Core Math: Guide and Free Practice Test (2021)**

### Last updated 12/2020

A great way to get a head start on your Praxis Core Academic Skills for Educators math test, is by taking the Praxis Core Math practice test. Once you take our Praxis Core Math test, you’ll know what to expect from the real test.

Prepterminal’s Praxis Core Math practice test features, geometry, algebra and functions, and probability and statistics. We created this test to give you insight into your current testing level.

**Take our free Praxis Core Math test today, and see how well you do.**

#### Quiz Summary

0 of 15 questions completed

Questions:

- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14
- 15

#### Information

You have already completed the quiz before. Hence you can not start it again.

Quiz is loading…

You must sign in or sign up to start the quiz.

You must first complete the following:

#### Results

#### Results

0 of 15 questions answered correctly

Your time:

Time has elapsed

You have reached 0 of 0 point(s), (0)

Earned Point(s): 0 of 0, (0)

0 Essay(s) Pending (Possible Point(s): 0)

#### Categories

- Not categorized 0%

- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14
- 15

- Answered
- Review

- Question 1 of 15
##### 1. Question

**The perimeter of a square is 20 cm. What is its area in cm**^{2}**?**CorrectIncorrect - Question 2 of 15
##### 2. Question

**The angles of a triangle are at a ratio 2:3:5. What is the measure of the greatest angle?**CorrectIncorrect - Question 3 of 15
##### 3. Question

**One leg of a right triangle is 16 inches long and the hypotenuse is 20 inches long. What is the area of this triangle in square inches?**CorrectIncorrect - Question 4 of 15
##### 4. Question

The area of a right triangle is equal to that of a square by side length 12 cm. The legs of the right triangle a and b are at a ratio 2:9 to each other. Calculate the length of the smaller leg of the right triangle.

CorrectIncorrect - Question 5 of 15
##### 5. Question

**What is the area of the parallelogram in the figure?**CorrectIncorrect - Question 6 of 15
##### 6. Question

What is/are the root(s) of equation

2/x=8x

for x ≠ 0.CorrectIncorrect - Question 7 of 15
##### 7. Question

What is the value of x if

2/3-5/2x+4/3x=1/6x

for x ≠ 0?CorrectIncorrect - Question 8 of 15
##### 8. Question

Solve the equation

2/x+x/2=2

for x ≠ 0.CorrectIncorrect - Question 9 of 15
##### 9. Question

The distance between two towns is 120 km. Two cars start travelling simultaneously from A to B. The first car moves at a speed of 10 km/h greater than the second car, so it reaches the town B 36 minutes before the second car. What is the speed of the first (fastest) car?

CorrectIncorrect - Question 10 of 15
##### 10. Question

What is the solution set of the equation

3x=-6/1-x

for x ≠ 1?CorrectIncorrect - Question 11 of 15
##### 11. Question

How many solutions does the equation 3x – 2 = -3 + 4x – (x -1) have?

CorrectIncorrect - Question 12 of 15
##### 12. Question

How many roots does the equation 5 – 4x = 2x – (3 + 6x) -1 have?

CorrectIncorrect - Question 13 of 15
##### 13. Question

How many solutions does the equation (x-3)/4=(2x-1)/5 have?

CorrectIncorrect - Question 14 of 15
##### 14. Question

What is the solution of the equation

(2x-1)/3+2=x/4CorrectIncorrect - Question 15 of 15
##### 15. Question

What is/are the solution(s) of the equation 2x

^{2}– 9x +12 = 8?CorrectIncorrect

#### ParaPro Prep Course

###### Prices are in USD. Limited Time Offer

- Lifetime Access
- 24/7 Support
- 1 Reading Test Guide
- 3 Reading Practice Tests
- 2 Writing Test Guides
- 13 Writing Practice Tests
- 13 Math Test Guides
- 13 Math Practice Tests
- 1 Graphic Literacy & Data Sets Guide
- 1 Graphic Literacy & Data Sets Test