ParaPro Math FREE Sample Practice Questions
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?
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:
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 an amplitude of 2 and a 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 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, the 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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