SAT Math : Arithmetic

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #421 : Arithmetic

If  is 25% of , what is the closest integer to the value of ?

Possible Answers:

Correct answer:

Explanation:

We can approximate the value of y pretty quickly:

y ≈ 1(0.50)(52) = 26

Since y = 0.25x = (1/4)x we know that x  = 4y ≈ 4(26) = 104

Example Question #422 : Arithmetic

Possible Answers:

0.006

6

0.0006

0.6

0.06

Correct answer:

0.006

Explanation:

It's much easier to work with whole numbers, so we'll ignore the decimals for the first step: 5 x 12 = 60

Now look at the decimals. To add them back in, think of 60 as 60.0. Now move the decimal point four places to the left: 0.5 x 0.012 = .0060 = .006

 

Example Question #423 : Arithmetic

You bought a dozen eggs marked at  and received  change from . What is the percent of sales tax?  

Possible Answers:

Correct answer:

Explanation:

Set the equation up as 

 

Solve for , which equals  

or

Therefore the percent sales tax is: 

Example Question #424 : Arithmetic

simplify: 0.2 ÷ 0.04

Possible Answers:
0.02
0.005
2
0.05
5
Correct answer: 5
Explanation:

0.2 ÷ 0.04  <- easiest way to approach is to move the decimal to the right (the same amount of spaces on each side) so that the decimal disappears

since 0.04 has 2 spaces and 0.2 only has 1, move the decimal 2 spaces to the right on each side

0.2 ÷ 0.04 = 20 ÷ 4 = 5

Example Question #3 : Decimal Operations

If the cost of 20 equally priced pencils cost $5.80, then at the same rate what is the greatest number of pencils you can purchase for $50?

Possible Answers:

150

200

172.41

173

172

Correct answer:

172

Explanation:

Remeber for this problem that you cannot spend more than $50. First find the price of each pencil by 5.80/20 = 29 cents. And then use this to do 50/0.29 = 172.41. So the greatest number of pencils you can purchase for $50 is 172 pencils.

Example Question #424 : Arithmetic

Charlie has charges on his credit card of $63.70, $37.32, and $81.78. If he pays down half his bill at once, and then pays the rest in four equal monthly installments, how much is each monthly installment?

Possible Answers:

\$25.00

\$25.32

\$21.78

\$23.05

Correct answer:

Explanation:

Adding all the charges together and dividing by 2 yields $91.40. Dividing this by 4 yields a monthly installment of $22.85.

Example Question #425 : Arithmetic

Simplify:

Possible Answers:

Correct answer:

Explanation:

Multiply both the numerator and denominator by some power of 10 to get rid of the decimals; in this case, multiply both by 10,000.

 

Example Question #1 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Order the following decimals in order from least to greatest:

2.1, 6.9, 4.8, 5.2, 8.5

Possible Answers:

6.9, 4.8, 8.5, 5.2, 2.1

2.1, 4.8, 5.2, 6.9, 8.5

8.5, 6.9, 5.2, 4.8, 2.1

2.1, 5.2, 8.5, 4.8, 6.9

Correct answer:

2.1, 4.8, 5.2, 6.9, 8.5

Explanation:

Look at the ones place first, ignoring the decimal. The order from greatest to least is 2, 4, 5, 6, and 8. Because none of the numbers in the ones place are the same, it doesn't matter what the decimal will be on these numbers- the order will remain the same. The order is 2.1, 4.8, 5.2, 6.9, 8.5.

Example Question #2 : How To Order Decimals From Least To Greatest Or From Greatest To Least

In the number 5,783.2935, what is the digit in the hundredths place?

Possible Answers:

\dpi{100} 8

\dpi{100} 5

\dpi{100} 7

\dpi{100} 9

\dpi{100} 3

Correct answer:

\dpi{100} 9

Explanation:

The digit in the hundredths place is the one two decimal places to the right of the decimal. That digit is 9. Do not confuse the hundredths with the hundreds place, which is three spaces to the left of the decimal.

The answer is 9.

Example Question #3 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Which of these decimals are the greatest?

Possible Answers:

Correct answer:

Explanation:

look at the first decimal place; 0.2 and 0.201 are the largest.

0.2 = 0.200 and 0.201 > 0.200

0.201 is the greatest given decimal.

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