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Start preparing for the 2021 Praxis Core Math test with our free sample practice questions. Also, make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions you need to practice.

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## 10 Sample **Praxis Core **Math Practice Questions

1- Which of the following has the same period and two times the amplitude of graph

y = cos \(x\)?

A. \(y=cos 2x\)

B. \(y=cos (x+2)\)

C. \(y=4 cos2x\)

D. \(y=2+2 cos x\)

E. \(y=4+cos x\)

2- Which of the following shows the numbers in increasing order?

A. \(\frac{2}{3},\frac{8}{11},\frac{5}{7},\frac{3}{4}\)

B. \(\frac{2}{3},\frac{5}{7},\frac{8}{11},\frac{3}{4}\)

C. \(\frac{5}{7},\frac{3}{4},\frac{8}{11},\frac{2}{3}\)

D. \(\frac{8}{11},\frac{3}{4},\frac{5}{7},\frac{2}{3}\)

E. None of them above

3- What’s the maximum ratio of the number of women to number of men in each city?

A. 0.98

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 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 $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 point (4,3) and (3,2) are on line A. Which of the following equations of lines is parallel to line A?

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 the point B, what are the coordinates of point B?

A. \((10, 3)\)

B. \((-10, -3)\)

C. \((-10, 3)\)

D. \((10, -3)\)

E. \((0, 3)\)

## Best **Praxis Core **Math Prep Resource for 2021

## Answers:

1- **C**

The amplitude in the graph of the equation \(y\)=a cosb \(x\) is a. (a and b are constant)

In the equation \(y\)=cos \(x\), the amplitude is 2 and the period of the graph is \(2π\).

The only option that has two times the amplitude of graph \(y\) = cos \(x\) is \(y\)=2+2 cos \(x\)

They both have the amplitude of 2 and period of \(2π\).

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 percentage of men in city A and 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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