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SSAT Middle Level Math : How to find the whole from the part

Study concepts, example questions & explanations for SSAT Middle Level Math

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All SSAT Middle Level Math Resources

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Example Questions

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Example Question #161 : How To Find The Whole From The Part

What number is seventy-nine and two tenths?

Possible Answers:

709.02

79.2

79.02

79.002

709.2

Correct answer:

79.2

Explanation:

In number form, seventy-nine and two tenths is 79.2 . The "and" signifies the decimal, and " tenths" signifies the place value of the last decimal number.

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Example Question #162 : How To Find The Whole From The Part

What number is eighty-three and four tenths?

Possible Answers:

83.004

803.4

83.04

803.04

83.4

Correct answer:

83.4

Explanation:

In number form, eighty-three and four tenths is 83.4 . The "and" signifies the decimal, and " tenths" signifies the place value of the last decimal number.

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Example Question #351 : Numbers And Operations

What number is ninety-three and five tenths?

Possible Answers:

93.005

93.5

903.05

903.5

93.05

Correct answer:

93.5

Explanation:

In number form, ninety-three and five tenths is 93.5 . The "and" signifies the decimal, and " tenths" signifies the place value of the last decimal number.

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Example Question #151 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

What number is thirteen and seven tenths?

Possible Answers:

13.7

13.07

103.7

130.07

13.007

Correct answer:

13.7

Explanation:

In number form, thirteen and seven tenths is 13.7 . The "and" signifies the decimal, and " tenths" signifies the place value of the last decimal number.

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Example Question #161 : How To Find The Whole From The Part

What number is sixteen and eight tenths?

Possible Answers:

16.08

160.8

16.8

16.008

106.8

Correct answer:

16.8

Explanation:

In number form, sixteen and eight and six tenths is 16.8 . The "and" signifies the decimal, and " tenths" signifies the place value of the last decimal number.

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Example Question #162 : How To Find The Whole From The Part

What number is twelve and six tenths?

Possible Answers:

120.6

12.006

12.06

120.06

12.6

Correct answer:

12.6

Explanation:

In number form, twelve and six tenths is 12.6 . The "and" signifies the decimal, and " tenths" signifies the place value of the last decimal number.

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Example Question #167 : How To Find The Whole From The Part

The ratio of blue to green lizards is 6:20. If there are 350 blue lizards, how many lizards are there total?

Possible Answers:

$1000 \textsl{ lizards}$

$200 \textsl{ lizards}$

$2023 \textsl{ lizards}$

$1516 \textsl{ lizards}$

Correct answer:

$1516 \textsl{ lizards}$

Explanation:

The easiest way to solve this problem is by using cross multiplication. First we need to determine how many green lizards there are and then add this to the number of blue lizards to get the total amount of lizards. Therefore,

$\frac{6}{20}= \frac{350}{x}$

6x=7000

x=1166 (approx.) amount of green lizards

The easiest way to approximate this part of the problem is to notice that 6 is very close to 7. So if 7x=7000 , x=1000 . So if we are dividing by a slightly smaller number we will get a larger answer.

We then need to add this number to 350 blue lizards in order to get the total amount of lizards. Therefore, $350+1166=1516 \textsl{ lizards}$ .

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Example Question #161 : How To Find The Whole From The Part

There are 6 parts root beer to 3 parts ice cream in a root beer float. If there is 18oz of root beer, how many total ounces make up the root beer float (ice cream+ root beer)?

Possible Answers:

$36\textsl{ ounces}$

$27\textsl{ ounces}$

$9\textsl{ ounces}$

$18 \textsl{ ounces}$

Correct answer:

$27\textsl{ ounces}$

Explanation:

First, divide the 18oz of root beer by 6 parts in order to determine how many ounces per 1 part of root beer. Therefore, $\frac{18}{6}=\frac{3\ ounces}{1\ part}$ .

In order to determine the amount of ice cream, multiply 1 part (3 oz) by 3, since ice cream is comprised of 3 parts. Therefore, there are 9oz of ice cream. Add this to the 18oz of root beer in order to get the total ounces of the root beer float.

$18+9=27 \textsl{ ounces}$ .

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Example Question #161 : How To Find The Whole From The Part

What number is eight hundred seventy-nine and one hundred sixty-nine thousandths?

Possible Answers:

879.169

8790.169

879.1609

879.0169

8791.69

Correct answer:

879.169

Explanation:

In number form, eight hundred seventy-nine and one hundred sixty-nine thousandths is 879.169 . The "and" signifies the decimal, and "thousandths" signifies the place value of the last decimal number.

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Example Question #5 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

What is 1.27 in expanded form?

Possible Answers:

$1\times1+2\times\left(\frac{1}{100}\right)+7\times\left(\frac{1}{1000}\right)$

$1\times1+2\times\left(\frac{1}{100}\right)+7\times\left(\frac{1}{100}\right)$

$1\times1+2\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)$

$1\times1+2\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{10}\right)$

$1\times1+2\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{1000}\right)$

Correct answer:

$1\times1+2\times\left(\frac{1}{10}\right)+7\times\left(\frac{1}{100}\right)$

Explanation:

When we write a number in expanded form, we multiply each digit by its place value.

is in the ones place, so we multiply by .

$1\times1=1$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$2\times\frac{1}{10}=.2$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$7\times\frac{1}{100}=.07$

Then we add the products together.

$\frac{\begin{array}[b]{r}1.00\\ +\ .20\\ .07 \end{array}}{ \ \ \space1.27}$

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SSAT Middle Level Math : How to find the whole from the part

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #161 : How To Find The Whole From The Part

Example Question #162 : How To Find The Whole From The Part

Example Question #351 : Numbers And Operations

Example Question #151 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

Example Question #161 : How To Find The Whole From The Part

Example Question #162 : How To Find The Whole From The Part

Example Question #167 : How To Find The Whole From The Part

Example Question #161 : How To Find The Whole From The Part

Example Question #161 : How To Find The Whole From The Part

Example Question #5 : Read And Write Decimals To Thousandths Using Base Ten Numerals, Number Names, And Expanded Form: Ccss.Math.Content.5.Nbt.A.3a

All SSAT Middle Level Math Resources

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