ACT Math : Arithmetic
Study concepts, example questions & explanations for ACT Math
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Example Questions
Example Question #1 : How To Find The Square Of An Integer
Simplify the following:
Example Question #7 : How To Find The Square Of An Integer
The last two digits in the square of a number 
If the last two digits of the squared number multiply to 
Example Question #1 : Percentage
We asked 1000 people their preferences of movie genres. 7.5% of those asked preferred horror movies, 35% preferred romantic films, 20% preferred dramas and 37.5% preferred comedies. How many people liked horror films?
7.5
75
35
37.5
750
75
People who prefer horror films = 1000 people x 7.5% = 1000 x 0.075 = 75 people
Example Question #1 : Percentage
There are 20 students in a class. 35 percent of the students in the class are boys. What fraction of the class is girls?
There are 20 total students in the class. 35% of 20 is 7. There are 7 boys in the class.
Example Question #3 : Percentage
Which of the following represents 
To represent a percentage as a fraction, keep the percentage in the numerator and put 
Therefore:
Example Question #1 : Percentage
Which of the following fractions is equivalent to
To convert an integer percentage into an improper fraction, set the percentage as a fraction over 
Example Question #5 : Percentage
A politician promises to spend up to 
To convert a decimal percentage into a fraction, first convert it to a decimal:
Now, set ths as a fraction with 
Now just reduce your fraction!
Example Question #6 : Percentage
Convert to a fraction:
To convert a percentage to a fraction, divide the percentage by 100, then simplify. The presence of a variable does not significantly affect this process.
Example Question #1 : Fractions And Percentage
Luke went to the grocery store. It took him 15 minutes to drive to the store from his house, 30 minutes to shop, 5 minutes to put groceries in his car, and 20 minutes to drive home due to traffic.
What percentage of the trip did Luke spend inside his car?
35%
75%
15%
50%
45%
50%
You take 15 + 20 = 35 minutes as total time spent in the car.
Then, you take 15 + 20 + 5 + 30 = 70 minutes as total trip time.
We take (35/70) x 100% = 50%
Example Question #1 : Fractions And Percentage
There are 300 sandwiches at a company-wide picnic. If half of the sandwiches are tuna, and the provider mistakenly uses expired tuna in three-fifths of those sandwiches, what percentage of total sandwiches still remain edible?
This multi-part question makes use of both fractions and percentages, as well as some tricky language if you are not paying close attention.
First off, determine what three-fifths of the 150 tuna sandwiches is:
Now, refer back to the question, which asks how many TOTAL sandwiches (tuna and non-tuna) still remain edible. This is simple arithmetic.
Finally, find what percentage this equals:
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