Quiz about ACT Math Prep 3

Question 1

The vector i represents 1 mile per hour east, and the vector j represents 1 mile per hour north. Maria is jogging south at 12 miles per hour. One of the following vectors represents Maria's velocity in miles per hour. Which one?

Accepted Answer

-12j

Answer

-12i

Answer

12i

Answer

12j

Answer

12i + 12j

Question 2

Question 2.

Accepted Answer

K

Answer

F

Answer

G

Answer

H

Answer

J

Question 3

Aurelio is purchasing carpet tiles to cover an area of his living room floor that is $$8\ \frac{1}{3}$$ feet wide by 10 feet long. Each carpet tile is a square 20 inches wide by 20 inches long. What is the minimum number of carpet tiles that Aurelio must purchase to cover this area of his living room floor?

Accepted Answer

30

Answer

5

Answer

11

Answer

21

Answer

84

Question 4

In the standard (x, y) coordinate plane, a circle with its center at (8, 5) and a radius of 9 coordinate units has which of the following equations?

Accepted Answer

$$\left(x\ -\ 8\right)^2+\left(y\ -\ 5\right)^2\ =\ 81$$

Answer

$$\left(x\ -\ 8\right)^2+\ \left(y\ -\ 5\right)^2=\ 9\ $$

Answer

$$\left(x\ +\ 8\right)^2+\ \left(y+5\right)^2=81$$

Answer

$$\left(x+8\right)^2+\left(y+5\right)^2=9$$

Answer

$$\left(x+5\right)^2+\left(y+8\right)^2=81$$

Question 5

It cost $2,500 to administer each Yq test and $50 to administer each Sam77 test. What was the total cost to administer both tests to all the volunteers?

Accepted Answer

$2,550,000

Answer

$1,537,500

Answer

$1,556,750

Answer

$1,568,250

Answer

$2,500,000

Question 6

What percent of the volunteers actually carry Yq77?

Accepted Answer

61.5%

Answer

57.5%

Answer

60.0%

Answer

60.5%

Answer

62.5%

Question 7

For how many volunteers did the Sam77 test give an incorrect result.

Accepted Answer

35

Answer

10

Answer

25

Answer

385

Answer

400

Question 8

One of the volunteers whose Sam77 test result was positive will be chosen at random. To the nearest 0.001, what is the probability the chosen volunteer does NOT possess Yq77?

Accepted Answer

0.017

Answer

0.026

Answer

0.035

Answer

0.041

Answer

0.063

Question 9

Question 9.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Answer

E

Question 10

Regardless of how the graph is oriented in the standard (x, y) coordinate plane, NO graph in one of the following categories has a vertical line of symmetry. Which one?

Accepted Answer

Line

Answer

Square

Answer

Pentagon

Answer

Paraellelogram

Answer

Scalene Triangle

Question 11

The equation $$24x^2+2x\ =\ 15$$ has 2 solutions. What is the greater of the 2 solutions.

Accepted Answer

$$\frac{3}{4}$$

Answer

$$\frac{4}{3}$$

Answer

$$\frac{5}{6}$$

Answer

$$\frac{7}{6}$$

Answer

$$\frac{11}{15}$$

Question 12

Which of the following expressions is equal to $$\left(\sin60\degree\right)\left(\cos30\degree\right)+\left(\cos60\degree\right)\left(\sin30\degree\right)$$ ?

Accepted Answer

$$\sin\left(60\degree+30\degree\right)$$

Answer

$$\cos\left(60\degree-30\degree\right)$$

Answer

$$\left(\cos60\degree+30\degree\right)$$

Answer

$$\sin\left(60\degree-30\degree\right)$$

Answer

$$\sin\left(\frac{60\degree+30\degree}{2}\right)$$

Question 13

What is the area, in square units, of a circle that has a circumference $$12\pi$$ units long?

Accepted Answer

$$36\pi$$

Answer

$$6\pi$$

Answer

$$12\pi$$

Answer

$$24\pi$$

Answer

$$144\pi$$

Question 14

A barrel contains 25 liters of a solvent mixture that is 40% solvent and 60% water. Lee will add pure solvent to the barrel, without removing any of the mixture currently in the barrel, so that the new mixture will contain 50% solvent and 50% water. How many liters of pure solvent should Lee add to create this new mixture.

Accepted Answer

5

Answer

2.5

Answer

10

Answer

12.5

Answer

15

Question 15

For all $$x e\pm\ y,\ \frac{x}{x\ +\ y}+\ \frac{y\ }{x\ -\ y}=?$$

Accepted Answer

$$\frac{x^2+y^2}{x^2-y^2}$$

Answer

$$\frac{1}{x\ -\ y}$$

Answer

$$\frac{x\ +\ y}{x\ -\ y\ }$$

Answer

$$\frac{x+y}{2x}$$

Answer

$$x^2+y^2$$

ACT Math Prep 3

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