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

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

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Example Questions

Example Question #1 : How To Find The Part From The Whole

Find the digit in the hundredths place.

123.4567

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 1\)

\(\displaystyle 3\)

\(\displaystyle 6\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 5\)

Explanation:

The "hundredths" place is two digits to the RIGHT of the decimal. 

Example Question #2 : How To Find The Part From The Whole

Which fraction is less than \(\displaystyle {\frac{1}2{}}{}\)?

 

Possible Answers:

\(\displaystyle \frac{9}{10}\)

\(\displaystyle \frac{5}{6}\)

\(\displaystyle \frac{7}{8}\)

\(\displaystyle \frac{5}{8}\)

\(\displaystyle \frac{1}{4}\)

Correct answer:

\(\displaystyle \frac{1}{4}\)

Explanation:

If you think about a pie, which fraction is less or smaller than \(\displaystyle {\frac{1}2{}}{}\) of the pie?  \(\displaystyle {\frac{1}4{}}{}\) of a pie is less than \(\displaystyle {\frac{1}2{}}{}\) of a pie.  All of the other fractions are more than or greater than \(\displaystyle {\frac{1}2{}}{}\) of a pie.  

 

 

Example Question #2 : How To Find The Part From The Whole

What is 60% of 700?

Possible Answers:

\(\displaystyle 500\)

\(\displaystyle 420\)

\(\displaystyle 440\)

\(\displaystyle 490\)

\(\displaystyle 450\)

Correct answer:

\(\displaystyle 420\)

Explanation:

60% of 700 can be calculated by multiplying 0.60 by 700:

\(\displaystyle 0.60 \times 700 = 420\)

Example Question #3 : How To Find The Part From The Whole

Find the part from the whole.  What number goes in the box?

\(\displaystyle 9 + \square = 17\)

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 7\)

\(\displaystyle 9\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 8\)

Explanation:

Think: what two parts equal the whole (17)? 

9 plus what equals 17?  

\(\displaystyle 9 + (8) = 17\)

Example Question #5 : How To Find The Part From The Whole

Find the missing number.

\(\displaystyle 17 + \square = 28\)

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle 12\)

\(\displaystyle 9\)

\(\displaystyle 11\)

\(\displaystyle 35\)

Correct answer:

\(\displaystyle 11\)

Explanation:

To find the missing part, think: 17 (part) plus what (missing part) equals 28 (whole)?

We can find the missing part by using the idea that whole minus part equals the missing part.

\(\displaystyle 17+?=28\)

\(\displaystyle 28-17=?\)

\(\displaystyle \begin{matrix} &28 \\ - & 17\\ & 11 \end{matrix}\)

So, the missing part is 11. We can check by adding the parts and getting the whole (28).

\(\displaystyle 17 + (11)=28\)

Example Question #4 : How To Find The Part From The Whole

Find the digit in the hundreds place.

\(\displaystyle 7459.3192\)

Possible Answers:

\(\displaystyle 9\)

\(\displaystyle 5\)

\(\displaystyle 4\)

\(\displaystyle 1\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 4\)

Explanation:

Do not confuse hundredths place and hundreds place. The hundreds place is between the tens place and the thousands place, in front of the decimal.

\(\displaystyle 7\mathbf{4}59.3192\)

Example Question #5 : How To Find The Part From The Whole

Find the part from the whole.

\(\displaystyle 12 + \square+3=20\)

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 5\)

\(\displaystyle 8\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 5\)

Explanation:

To find a whole, add the three parts.  First, add the two parts together:

 \(\displaystyle 12+3=15\)

Since one of the parts is still missing, think: 

\(\displaystyle 15+\square=20\)

15 (part) plus what (missing part) equals 20 (whole)?

The missing part is 5.

 

Example Question #6 : How To Find The Part From The Whole

\(\displaystyle What\;number\;is\;in\;the\;tenths\;place\;of\;25.028?\)

Possible Answers:

\(\displaystyle 2\)

\(\displaystyle 5\)

\(\displaystyle 0\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 0\)

Explanation:

\(\displaystyle The\;tenths\;place\;is\;the\;place\;to\;the\;right\;of\;the\;decimal.\)

Example Question #7 : How To Find The Part From The Whole

\(\displaystyle What\;number\;is\;in\;the\;tens\;place\;of\;the\;number\;25.028?\)

Possible Answers:

\(\displaystyle 0\)

\(\displaystyle 2\)

\(\displaystyle 5\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 2\)

Explanation:

\(\displaystyle The\;tens\;place\;is\;2\;places\;to\;the\;left\;of\;the\;decimal.\)

Example Question #8 : How To Find The Part From The Whole

23481.3084 Which number is in the thousands place? 

Possible Answers:

\(\displaystyle 2\)

\(\displaystyle 4\)

\(\displaystyle 3\)

\(\displaystyle 0\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 3\)

Explanation:

Given 23481.3084, the thousands place (do not confuse this with thousanTHS place) is occupied by 3.

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