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

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

Example Question #111 : How To Find The Part From The Whole

Subtract in modulo 12 arithmetic:

5 - 11

Possible Answers:

Correct answer:

Explanation:

To subtract two numbers in modulo 12 arithmetic, we can simply subtract first:

5 - 11 = 5+ (-11) = - (11-5) = -6

Since the number is negative, add 12:

-6+ 12 = + (12-6) = 6

$5 - 11 \equiv 6$ in modulo 12 arithmetic.

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Example Question #112 : How To Find The Part From The Whole

Multiply in modulo 12 arithmetic:

$7 \times 9$

Possible Answers:

Correct answer:

Explanation:

To multiply two numbers in modulo 12 arithmetic, find the product, divide by 12, and note the remainder.

$7 \times 9 =63$

$63 \div 12 = 5 \textrm{ R }3$

The remainder is 3, so

$7 \times 9 \equiv 3$ modulo 12.

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Example Question #113 : How To Find The Part From The Whole

Add in modulo 12 arithmetic:

9+8+7+6

Possible Answers:

Correct answer:

Explanation:

To add numbers in modulo 12 arithmetic, we can add, divide by 12 and note the remainder:

9+8+7+6 = 30

$30 \div 12 =2 \textrm{ R }6$

The remainder is 6, so

$9+8+7+6 \equiv 6$ modulo 12.

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Example Question #114 : How To Find The Part From The Whole

The total weight of a troll’s lunch is 49lbs. The ratio of carrots to turnips is 3:4. How many pounds of turnips did the troll use to make his lunch?

Possible Answers:

$28\textsl{ pounds}$

$30\textsl{ pounds}$

$22\textsl{ pounds}$

$14\textsl{ pounds}$

Correct answer:

$28\textsl{ pounds}$

Explanation:

Determine the total parts of carrots and turnips in the troll’s lunch by adding them $(3+4=7\textsl{ total parts})$ .

Divide the total weight of the troll’s lunch by the number of parts to determine how many pounds per part $(\frac{49\textsl{ pounds}}{7\textsl{ parts}}=\frac{7\textsl{ pounds}}{1\textsl{ part}})$ .

Finally, multiply the parts of turnips (4) by the number of pounds/part.

Therefore, $4\cdot7=28\textsl{ pounds of turnips}$

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Example Question #115 : How To Find The Part From The Whole

The ratio of tea to milk in Kelsey’s favorite drink is 5:2. The total volume of the drink is 14 ounces. How many ounces of Kelsey’s drink are tea?

Possible Answers:

$5\textsl{ ounces}$

$20\textsl{ ounces}$

$15\textsl{ ounces}$

$10 \textsl{ ounces}$

Correct answer:

$10 \textsl{ ounces}$

Explanation:

Determine the total parts of tea and milk in the drink by adding them $(5+2=7\textsl{ total parts})$ .

Divide the total volume of the drink by the number of parts in the drink to determine how many ounces per part $(\frac{14\textsl{ ounces}}{7 parts}=\frac{2\textsl{ ounces}}{1 part})$

Finally, multiply the parts of tea (5) by the number of ounces/part. Therefore, $5\cdot2=10\textsl{ ounces of tea}$ .

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Example Question #116 : How To Find The Part From The Whole

Round 127.426 to the nearest tenth.

Possible Answers:

127.3

127.4

127.43

127.5

127.42

Correct answer:

127.4

Explanation:

When we round a number to the nearest tenth we look to the hundredths place to tell us if we round up or down.

$127.4{\color{Blue} 2}6$

If the number in our hundredths place is or greater, we round up. If the number in the hundredths place is or less, we round down. When we round up, the number in the hundredths place increases by and all the other numbers to the right become . When we round down, the number in the hundredths place stays the same and all the other numbers to the right become .

In this case, is less than so our rounded number is 127.400 or 127.4

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All SSAT Middle Level Math Resources

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

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #111 : How To Find The Part From The Whole

Example Question #112 : How To Find The Part From The Whole

Example Question #113 : How To Find The Part From The Whole

Example Question #114 : How To Find The Part From The Whole

Example Question #115 : How To Find The Part From The Whole

Example Question #116 : How To Find The Part From The Whole

All SSAT Middle Level Math Resources

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