### All ACT Math Resources

## Example Questions

### Example Question #1 : How To Find Decimal Equivalent To A Percentage

Students at a country fair typically spend $40. The students have agreed to spend 40% less at this year's fair. Assuming all the students follow their new agreement, what is the most that could be spent by a student at this year's fair?

**Possible Answers:**

$24

$10

$20

$30

$16

**Correct answer:**

$24

This is a percentage problem, so it is important to know that 40% of some value is equal to 0.4 of said value. So to find 40% of $40, we multiply 40 * 0.40, which equals 16. This 16 represents 40% of the original value of $40. So if a student was to spend 40% less than they usually spend, we would subtract $16, which is 40% of the original value, from $40, giving us an answer of $24.

### Example Question #31 : Percentage

There are *n* pennies in a jar. Let *p represent the decimal* ratio of the pennies that are dated before 1983. Which of the following equations repesents the number of pennies that are dated 1983 or later?

**Possible Answers:**

np

n(1-p)/100

n(100-p)

n(1-p)

**Correct answer:**

n(1-p)

The proportion of pennies before 1983 would be *np*. Therefore, the pennies dated 1983 or later would be n(1-p).

### Example Question #3 : Decimals And Percentage

Express the following as a decimal:

**Possible Answers:**

**Correct answer:**

To convert a percentage to a decimal, you must add a decimal two points to the left from the right hand side. Thus,

### Example Question #4 : Decimals And Percentage

Which of the following is equivalent to ?

**Possible Answers:**

**Correct answer:**

To find a decimal from a percentage, divide the percentage value by . In this case, convert the fraction to a decimal first:

### Example Question #5 : Decimals And Percentage

A share in a stock is added to a share by speculators. What is the decimal equivalent of the combined shares?

**Possible Answers:**

**Correct answer:**

To convert from a percentage to a decimal, divide the decimal by . In this case, we can add the percentages first.