Pre-algebra ACT Practice

Which of the following numbers is between  $\frac{3}{5}$  and  $\frac{5}{7}$ ? 

•  $\frac{1}{2}$  

•  $\frac{3}{7}$  

•  $\frac{8}{9}$  

•  $\frac{19}{35}$  

•  $\frac{47}{70}$  

Tags

CCSS.6.NS.C.6

CCSS.6.NS.C.7

After receiving a 25% discount, Sue paid $180 for a lawnmower. What is the original price of the lawnmower before the discount?

• $215

• $220

• $225

• $240

• $245

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

In order to qualify for the year-end tennis tournament, Sam must win at least 60 percent of his matches this year. To date, Sam has won 14 of his 18 matches. Of Sam’s 13 matches remaining in the year, what is the least number that he must win in order to qualify for the year-end tournament?

• 4

• 5

• 6

• 7

• 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

In the Antares Corporation, ³/₇ of the managers are female. If there are 42 female managers, how many managers in total are there?

• 18

• 24

• 60

• 66

• 98

Tags

CCSS.8.EE.C.7B

A company has 40 executives and 120 customer service representatives. If these are the only employees, what percentage of the employees are executives?

• 20%

• 25%

• 33%

• 40%

• 80%

Tags

CCSS.7.RP.A.3

On a certain high school athletic team, the ratio of freshmen to sophomores to juniors to seniors is 1:3:4:6. If there are 60 juniors on the team, how many students in total are on the team?

• 90

• 140

• 150

• 180

• 210

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Which of the following equations expresses the relationship between x and y in the table?

•  $y=10x+1$  

•  $y=2x-1$  

•  $y=-x+45$  

•  $y=-3x+53$  

•  $y=-7x+81$  

Tags

CCSS.6.EE.C.9

The average of x and t is y. If s = 2y, what is the average of s, x, and t in terms of y?

• 3y

• 2y

• $\frac{5y}{3}$

• $\frac{4y}{3}$

• y

Tags

CCSS.7.EE.B.4A

If the average (arithmetic mean) of 24 consecutive odd integers is 48, what is the median of the 24 numbers?

• 36

• 47

• 48

• 49

• 72

Tags

CCSS.8.EE.C.7B

Students in an 11th grade history class are randomly divided into three teams of five students for a history trivia contest. Each student takes a trivia test with 100 total points, and their scores are posted below. The team with the highest average score (rounded to the nearest whole number) wins the contest.

Which of the following is closest to the percent of individual trivia test scores that are at or above 80 points?

• 10%

• 33%

• 60%

• 67%

• 80%

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3