GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #22 : Decimals And Fractions

Numberline_1

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:

Explanation:

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:

Division

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

Example Question #21 : Decimals And Fractions

Menu

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:

Explanation:

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 #23 : Decimals And Fractions

Evaluate. 

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

 can best be subtracted vertically.

 

     

 

Subtract the integers and the fractions separately:

Example Question #74 : Numbers

Evaluate:

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

Add vertically, aligning the decimal points:

Example Question #71 : Ged Math

Menu

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, Mitch, Jimi

Noel, Jimi, Mitch

Jimi, Noel, Mitch

Jimi, Mitch, Noel

Correct answer:

Noel, Jimi, Mitch

Explanation:

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 #71 : Numbers

Without a calculator, raise 0.4 to the third power.

Possible Answers:

Correct answer:

Explanation:

 

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 #24 : Decimals And Fractions

Menu

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:

Explanation:

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 #25 : Decimals And Fractions

Of these four numbers, which is the greatest?

Possible Answers:

Correct answer:

Explanation:

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 .

Example Question #71 : Numbers

 

Time_card

Steve works for a retailer at a wage of $13.00 per hour. He normally works 40 hours per week; any hours in excess of that in any given week are paid at "time and a half" - that is, at 50% higher.

How much did Steve earn for the week reflected by the time card in the above diagram?

Possible Answers:

Correct answer:

Explanation:

Below is the same time card, with the number of hours worked in each shift.

Time_card

Steve worked exactly 40 hours, his normal work week, so he will earn normal wage for the entire week. 40 hours at $13.00 per hour is .

Example Question #72 : Numbers

Each student at a classical studies school is required to take one of three languages - Latin, Greek, or Hebrew. Assume that no student takes more than one language.

One-fourth of the students decide to take Hebrew; half the remaining students decide to take Greek. What is the ratio of students who don't take Latin to those who do?

Possible Answers:

Correct answer:

Explanation:

 of the students take Hebrew, so 

of the students don't take Hebrew. Half of these students take Greek, so the other half must take Latin; this is

of the students.

Therefore, 

of the students don't take Latin. 

The ratio of those not taking Latin to those who are is

 .

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