### All GED Math Resources

## Example Questions

### Example Question #21 : Decimals And Fractions

Express as a unit rate: $60.75 for 15 gallons of gasoline.

Do not use a calculator.

**Possible Answers:**

$4.05 per gallon

$4.35 per gallon

$4.50 per gallon.

$4.15 per gallon

**Correct answer:**

$4.05 per gallon

Divide:

The unit rate is $4.05 per gallon.

### Example Question #22 : Decimals And Fractions

Above is the menu at a coffee shop.

Quincy has a coupon which he can use to get either a free butter croissant with the purchase of a large drink or one dollar off a butter croissant with the purchase of a small drink. The coupon says "limit one per coupon".

Quincy orders one large espresso, one small cafe latte, and two butter croissants. Disregarding tax, how much will he spend?

**Possible Answers:**

**Correct answer:**

Quincy will get one of the butter croissants for free, since he is also purchasing a large drink. He will pay for one large espresso, one small cafe latte, and one butter croissant. The total of their prices is:

### Example Question #23 : Decimals And Fractions

Refer to the above number line. What point most likely represents the reciprocal of 2.7?

Do not use a calculator.

**Possible Answers:**

**Correct answer:**

2.7, expressed as a fraction, is equal to . Switch the numerator and the denominator to obtain the reciprocal - this number is . To find a decimal approximation, we divide the numerator by the denominator:

The number, therefore, falls between 0.3 and 0.4, making the correct choice .

### Example Question #24 : Decimals And Fractions

Above is the menu for a coffee shop; there is no sales tax charged on purchases.

David orders a large iced coffee, two large espressos, a small cafe latte, and four butter croissants. He hands the cashier two twenty-dollar bills. How much will he get back in change?

**Possible Answers:**

**Correct answer:**

Dave will spend $3.49 for the large iced coffee, $3.29 for each of the two large espressos, $3.09 for the cafe latte, and $2.29 for each of the butter croissants.

This is a total of:

Dave gives the cashier $40 and therefore gets back .

### Example Question #25 : Decimals And Fractions

Evaluate.

Do not use a calculator.

**Possible Answers:**

**Correct answer:**

can best be subtracted vertically.

Subtract the integers and the fractions separately:

### Example Question #26 : Decimals And Fractions

Evaluate:

Do not use a calculator.

**Possible Answers:**

**Correct answer:**

Add vertically, aligning the decimal points:

### Example Question #27 : Decimals And Fractions

Above is the menu at a coffee shop.

Jimi, Noel, and Mitch each have a coupon that entitles the bearer to either one free butter croissant with the purchase of a large drink or one dollar off the price of a butter croissant with the purchase of a small drink. Each coupon says "limit one".

Jimi purchases one large cafe latte and one butter croissant; Noel purchases one small iced coffee and one butter croissant; Mitch purchases two butter croissants. Order the three from least amount spent to most.

**Possible Answers:**

Noel, Jimi, Mitch

Jimi, Noel, Mitch

Noel, Mitch, Jimi

Jimi, Mitch, Noel

**Correct answer:**

Noel, Jimi, Mitch

Jimi purchases a large drink, so he gets his butter croissant free. Therefore, he pays only for the large cafe latte. He spends $3.99.

Noel purchases a small drink, so he gets a $1 discount on his butter croissant. He spends $2.49 for the small iced coffee and $1.29 for the butter croissant - a total of .

Mitch does not buy any coffee so he will not use his coupon; he will pay for the two croissants. he will spend .

The three men, in ascending order by amount spent, are Noel, Jimi, and Mitch.

### Example Question #28 : Decimals And Fractions

Without a calculator, raise 0.4 to the third power.

**Possible Answers:**

**Correct answer:**

First, multiply without regard to the decimal point:

Since the three factors have a total of three digits to the right of their decimal points, position the decimal point in the result so that three digits are at its right. This makes the result

.

### Example Question #29 : Decimals And Fractions

Above is the menu at a coffee shop. The shop is on a military base and does not charge sales tax.

Zola purchases three butter croissants and three cans of cola. She hands the cashier a $20 bill and gets $10.73 back in change. How much does one can of cola cost?

**Possible Answers:**

**Correct answer:**

Zola gets $10.73 in change for a $20 bill, so the price of her food and beverages is

.

She bought three butter croissants, which cost her

.

Subtract this from $9.27 to get the amount she spent on the cola.

She bought three cans for $2.40, so each can cost

.

### Example Question #30 : Decimals And Fractions

Of these four numbers, which is the greatest?

**Possible Answers:**

**Correct answer:**

All four numbers are negative, so the greatest of the four will be the one with the least absolute value - that is, the one which is the least when the negative symbol is removed. Therefore, we can solve this by finding the greatest number of the set

.

This can be done by going from left to right and examining the digits. We see that

,

so, since the least positive number has the greatest opposite, the greatest of the original numbers is .

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