ACT Practice

Marco designs a spinner wheel that has exactly 4 sections: red, blue, green, and yellow. He wants the spinner wheel to have a 25% chance of landing on each section. He spins the wheel 500 times. The results of the spins are shown in this table: Spinner wheel section | Number of times the spinner lands in each section Red | 80 Blue | 165 Green | 130 Yellow | 125 Based on the results in this table, one of the following changes would be the best fix. Which one?

• He should decrease the area of the red section by increasing the area of the blue section.

• He should increase the area of the red section by decreasing the area of the blue section.

• He should increase the area of the red section by decreasing the area of any of the other three sections.

• He should decrease the area of the blue section, and then it does not matter which section’s area is increased.

In ΔABC, ∠A and ∠C are congruent, and the measure of ∠B is 143.6°. What is the measure of ∠A?

• 18.2°

• 36.4°

• 71.8°

• 143.6°

Tags

CCSS.8.G.A.5

Which of the following matrices is equal to 5 × [ -4 2 ; 0 -5 ]?

• [ -20 -15 ; 0 -5 ]

• [ -10 ; -25 ]

• [ 1 7 ; 5 0 ]

• [ -20 10 ; 0 -25 ]

Tags

CCSS.HSN.VM.C.7

The whole numbers 1 through 30 were each written on separate pieces of paper. Those 30 pieces of paper were put into a jar. One piece of paper will be randomly drawn from this jar. What is the probability that this piece of paper will have a prime number written on it?

• 1/30

• 1/20

• 1/10

• 10/30

Tags

CCSS.7.SP.C.7B

Which of the following values, if any, is the y-value of the solution set to the system of equations below? 2x - y = 7 -4x + 2y = 2

• 2

• 5

• 9

• There is no such value for y.

Tags

CCSS.HSA.REI.C.9

Which of the following expressions is equivalent to (y + 7)³?

• y³ + 21y² + 147y + 343

• y³ + 14y + 343

• y³ + 14y + 49

• y³ + 343

Tags

CCSS.HSA.APR.C.5

The sum of 3 positive integers is 180, and the ratio of the integers is 5:3:2. What is the value of the smallest of the integers?

• 18

• 36

• 54

• 90

Tags

CCSS.8.EE.C.7B

Which of the following expressions is equivalent to (x² − y²) − (6x² + 4xy − y²)?

• −5x² − 4xy

• −5x² + 4xy − 2y²

• 7x² + 4xy − 2y²

• 7x² + 4xy + 2y²

Tags

CCSS.6.EE.A.3

Given i = √−1, what is √9 + √−16?

• 7i

• i√7

• 3 − 4i

• 3 + 4i

At a certain time of day, a flagpole casts a 9.0-foot-long shadow and a nearby 4.0-foot-tall fence post casts a 2.4-foot-long shadow. Given that both the flagpole and the fence post are vertical and on level ground, what is the height, in feet, of the flagpole?

• 5.4

• 10.6

• 15.0

• 15.4

Tags

CCSS.HSG.SRT.B.4