PRAXIS Mathematics Practice Test

Question 1

Jane is creating a unique paint color that calls for one part coloring to every four parts white paint. For a total of 12 gallons
 of colored paint, how much coloring will Jane require?

Accepted Answer

2 2/5 gallons

Answer

The ratio of coloring to white paint is 1:4, meaning there are 1 + 4 = 5 total parts in the mixture. The coloring constitutes 1 part out of these 5 total parts. Therefore, to find the amount of coloring needed for 12 gallons of total paint, you calculate (1/5) * 12 gallons, which equals 12/5 gallons or 2 2/5 gallons.

Question 2

Students were required to provide an equal approach to express the ratio 8:6 on a test. In the document attached, four of the responses are listed. Which one is the most accurate?
Student A: 8/6
Student B: 3/2
Student C: 6:8
Student D: 4/3

Accepted Answer

Students A and D

Answer

The ratio 8:6 can be expressed as a fraction, 8/6, which is what Student A provided. This fraction can then be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. Simplifying 8/6 yields 4/3, as shown by Student D. Therefore, both 8/6 and 4/3 are accurate and equivalent expressions of the ratio 8:6.

Question 3

When adding fractions with dissimilar denominators, the common denominator should be the least common multiple 
of the denominators. When adding the fractions 5/6 and 7/9, what common denominator should you use

Accepted Answer

18

Answer

To find the least common denominator for fractions, you need to find the least common multiple (LCM) of their denominators. For the fractions 5/6 and 7/9, the denominators are 6 and 9. The multiples of 6 are 6, 12, 18, 24, etc., and the multiples of 9 are 9, 18, 27, etc. The smallest number that appears in both lists is 18, making it the least common denominator.

Question 4

The following is a breakdown of a year-end test that includes math, science, and language arts questions: The language arts 
portion accounts for 30% of the overall score, while the math and science sections each account for 35% of the overall score.
 What is Marys' overall score if he received an 89 on the math exam, an 85 on the science section, and a 76 on the language 
arts section? Your answer should be rounded to the nearest whole number.

Accepted Answer

84

Answer

To calculate the overall weighted score, multiply each section's score by its corresponding percentage weight and then sum the results. For Math (89 * 0.35 = 31.15), Science (85 * 0.35 = 29.75), and Language Arts (76 * 0.30 = 22.8), the total sum is 31.15 + 29.75 + 22.8 = 83.7. Rounding 83.7 to the nearest whole number gives an overall score of 84.

Question 5

Choose the response that is the polar opposite of the statement: Prime numbers are usually odd three-digit numbers.

Accepted Answer

129

Answer

The statement claims that 'Prime numbers are usually odd three-digit numbers.' To find the polar opposite, we need a number that fits the description of being an odd, three-digit number but is *not* prime, thereby directly contradicting the statement's premise about primality. Among the options, 129 is an odd, three-digit number, but it is divisible by 3 (129 = 3 * 43), meaning it is a composite number, not a prime number. The other options are all prime numbers.

PRAXIS Practice Test

PRAXIS Practice Test

PRAXIS Mathematics Practice Test