### All ACT Math Resources

## Example Questions

### Example Question #11 : Percent Of Change

A person who was originally pounds lost pounds. By what percentage did his or her body weight decrease? Round to the nearest hundredth of a percent.

**Possible Answers:**

**Correct answer:**

The formula for percentage change is represented as:

Since the person has lost pounds, he or she will weigh . Thus, we know that our formula could be written:

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 #1221 : Act Math

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?

**Possible Answers:**

C

A

B

D

**Correct answer:**

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 #61 : Percentage

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?

**Possible Answers:**

Tim Duncan

Tony Parker

All three players were equally the best

Tim and Danny were both equally the best

Danny Green

**Correct answer:**

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?

**Possible Answers:**

$1,250

None of the answers are correct

$1,500

$2,500

$2,000

**Correct answer:**

$1,250

$ sales x % Commission = $ Commission

25000 x 0.05 = 1250

### Example Question #1 : How To Find Percentage

Joey buys a sweatshirt for $35 that was originally sold for $50. What is the percent discount?

**Possible Answers:**

20 %

30 %

15 %

50 %

70 %

**Correct answer:**

30 %

Amount of discount = original price – new price

% discount = amount of discount ÷ original price

% discount = 15/50 = 0.3 or 30%

### Example Question #1 : Other Percentage

Bryan has white socks and blue socks in his drawer, in a ratio of 4 : 7. What percent of his socks are white?

**Possible Answers:**

30%

57%

75%

64%

36%

**Correct answer:**

36%

You divide the number of blue socks, 4, by the number of total socks, 11, giving you 36%.

### Example Question #1 : How To Find 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?

**Possible Answers:**

99%

44%

45%

50%

55%

**Correct answer:**

55%

There are 5 non-red marbles and 9 total marbles.

5/9 = 0.555, which is about 55%

### Example Question #1 : How To Find Percentage

What number is 130% of 50?

**Possible Answers:**

**Correct answer:**

Verbal cues are "is" and "of." Is means equals and of means multiplication.

So the equation to solve becomes which equals 65.

### Example Question #2 : How To Find Percentage

Sally earns 3% commission on a house she sold for $150,000. How much money did she earn?

**Possible Answers:**

**Correct answer:**

So the equation to solve becomes or earned.

### Example Question #3 : How To Find Percentage

What number is 125% of 160?

**Possible Answers:**

**Correct answer:**

Verbal cues include "is" and "of." "Is" means equals and "of" means multiply.

So the equation to solve becomes or .