Praxis Core Math FREE Sample Practice Questions

Praxis Core Math FREE Sample Practice Questions is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.

B. 0.97

C. 0.96

D. 0.95

E. 0.94

4- What’s the ratio of the percentage of men in city A to the percentage of women in city C?

A. (frac{10}{9})

B. (frac{9}{10})

C. 1

D. (frac{19}{20})

E. (frac{20}{19})

5- How many women should be added to city D to change the ratio of women to men to 1.2?

A. 130

B. 129

C. 132

D. 131

E. 133

6- In 1999, the average worker’s income increased by $2,000 per year starting from $24,000 annual salary. Which equation represents income greater than average? (I = income, (x =) number of years after 1999)

A. (I>2000x+24000)

B. (I>-2000x+24000)

C. (I<-2000x+24000)

D. (I<2000x-24000)

E. (I<24,000x+24000)

7- What are the values of mode and median in the following set of numbers?
1,2,2,5,4,4,3,3,3,1,1

A. Mode: 1, 2 Median: 2

B.  Mode: 1, 3 Median: 3

C. Mode: 2, 3 Median: 2

D. Mode: 1, 3 Median: 2.5

E. Mode: 3, Median: 3

8- If (60%) of (x) equal to (30%) of 20, then what is the value of ((x+5)^2)?

A. 25.25

B. 26

C. 26.01

D. 2025

E. 225

9- In the (xy)-plane, the points (4,3) and (3,2) are on line A. Which of the following equations of lines is parallel to line A?

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A. (y=3x)

B. (y=10)

C. (y=frac{x}{2})

D. ( y=2x)

E. (y=x)

10- When point A (10, 3) is reflected over the y-axis to get point B, what are the coordinates of point B?

A. ((10, 3))

B. ((-10, -3))

C. ((-10, 3))

D. ((10, -3))

E. ((0, 3))

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Answers:

2- B
(frac{2}{3}≅0.67,frac{8}{11}≅0.73,frac{5}{7}≅0.71,frac{3}{4}=0.75)

3- B
ratio of A: (frac{570}{600}=0.95)
ratio of B: (frac{291}{300}=0.97)
ratio of C: (frac{665}{0.95}=0.95)
ratio of D: (frac{528}{550} =0.96)

4- E
First, find the percentage of men in city A and the percentage of women in city C.
Percentage of men in city A =(frac{600}{1170}) and percentage of women in city C =(frac{665}{1365})
Find the ratio and simplify.
(frac{frac{600}{1170}}{frac{665}{1365}}=frac{20}{19})

5- C
(frac{528+x}{550}==1.2→528+x=660→x=132)

6- A
Let (x) be the number of years. Therefore, $2,000 per year equals (2000x).
starting from $24,000 annual salary means you should add that amount to (2000x).
Income more than that is:
(I > 2000 x + 24000)

7- B
We write the numbers in the order: 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5
The mode of numbers is: 1 and 3, median is: 3

8- E
(0.6x=(0.3)×20→x=10→(x+5)^2=(15)^2=225)

9- E
The slop of line A is: m= (frac{y_2-y_1}{x_2-x_1}=frac{3-2}{4-3}=1)
Parallel lines have the same slope and only choice E ((y=x)) has slope of 1.

10- C
When points are reflected over (y)-axis, the value of (y) in the coordinates doesn’t change and the sign of (x) changes. Therefore, the coordinates of point B is ((-10,3)).

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