ACT Math : Arithmetic
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Example Questions
Example Question #57 : Percentage
In 2014, a basketball team won 
If the team won 
Step 1: Find 
Step 2: Subtract from
Example Question #6 : How To Find The Percent Of Decrease
If a new television cost 
First, calculate the amount of profit that will need to be made to earn a 
This means that it is a 
Example Question #12 : Percent Of Change
A person who was originally 
The formula for percentage change is represented as:
Since the person has lost 
Since we are looking for the percentage of decrease, we can represent this as a positive number. (To decrease by a positive amount is to have a negative percentage change, absolutely speaking.) Thus, our answer is 
Example Question #1 : Other Percentage
Jack and Jill have saved up $3500 for a vacation to Bermuda. Package Deal A costs $2500 plus an additional 30% tax. Package Deal B costs $2400 with an additional 3/9 of the price added for airfare. Package deal C costs $3225 with an included 10% tax. Package deal D costs $1800 per person. Which package deal will save them the most money?
A
B
D
C
B
Calculate the price of each Package Deal. A = $2500(1.3) = $3250, B = $2400 (1+3/9) = $3200. C = $3225, D = $3600. Remember that 1 = 9/9 for fraction addition. Package deal C’s wording is tricky, the tax is already included. Package Deal B is the best deal.
Example Question #1221 : Act Math
Tim Duncan made 14 out of 16 free throws. Tony Parker made 9 out of 10 free throws. Danny Green made 7 out of 8 free throws. Whose shooting percentage was the best?
All three players were equally the best
Tim and Danny were both equally the best
Tony Parker
Danny Green
Tim Duncan
Tony Parker
For Tim, his percentage was .875 or 87.5%. For Tony, his percentage was .90 or 90%. For Danny, his percentage was also .875 or 87.5%. Thus Tony was the best.
Example Question #1 : How To Find Percentage
Johnny earned 5 % commission on a car he sold for $25,000. How much money did he make?
$2,500
$1,250
$1,500
None of the answers are correct
$2,000
$1,250
$ sales x % Commission = $ Commission
25000 x 0.05 = 1250
Example Question #4 : How To Find Percentage
Joey buys a sweatshirt for $35 that was originally sold for $50. What is the percent discount?
15 %
30 %
50 %
20 %
70 %
30 %
Amount of discount = original price – new price
% discount = amount of discount ÷ original price
% discount = 15/50 = 0.3 or 30%
Example Question #5 : How To Find Percentage
Bryan has white socks and blue socks in his drawer, in a ratio of 4 : 7. What percent of his socks are white?
30%
75%
64%
36%
57%
36%
You divide the number of blue socks, 4, by the number of total socks, 11, giving you 36%.
Example Question #1 : Other Percentage
There are 9 marbles in a box, and 4 of them are red.
What percentage of the marbles in the box are NOT red?
45%
99%
50%
55%
44%
55%
There are 5 non-red marbles and 9 total marbles.
5/9 = 0.555, which is about 55%
Example Question #2 : How To Find Percentage
What number is 130% of 50?
Verbal cues are "is" and "of." Is means equals and of means multiplication.
So the equation to solve becomes 
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