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

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

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

What is $54\%$ of 250 ?

Possible Answers:

135

115

125

145

Correct answer:

135

Explanation:

Multiply 250 by 0.54 to find the answer.

$250\times0.54=135$ .

$135 \text{ is }54\%\text{ of }250.$

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

Susie won $\$10,000$ from the lottery. If she has to pay $45\%$ of the winnings to taxes and gives her parents $20\%$ of the remaining amount, how much does she have left over?

Possible Answers:

$\$4,500$

$\$4,400$

$\$5,500$

$\$5,600$

Correct answer:

$\$4,400$

Explanation:

First, find out how much she has left after she pays her taxes.

$\text{After tax amount}=\$10,000-(\$10,000\times0.45)=\$5,500$

Now, take away $20\%$ of the after-tax amount to find out how much she has left.

$\$5500-(0.2\times\$5500)=\$4,400$

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

Kerry spends $45\%$ of his monthly salary on rent, $20\%$ on food, and $35\%$ on movies. If he spent $\$900$ on rent, how much did he spend on food?

Possible Answers:

$\$700$

$\$500$

$\$600$

$\$400$

Correct answer:

$\$400$

Explanation:

First, find out how much Kerry makes per month. Let be his monthly salary. We know that he spends $45\%$ of his monthly salary on rent, and that he spends $\$900$ on rent. Knowing this, we can set up an equation and solve for , how much Kerry makes per month.

$0.45x=\$900$

$x=\frac{\$900}{0.45}$

$x=\$2,000$

Now, we can find out how much he spends on food.

$\text{Amount spent on food}=\$2,000\times0.2=\$400$

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

A class of students was polled. If $\frac{1}{6}$ of them claimed that they enjoy eating sushi, how many students enjoy eating sushi?

Possible Answers:

Correct answer:

Explanation:

Multiply the total number of students by the fraction to find out how many of them enjoy eating sushi.

$30\times\frac{1}{6}=\frac{30}{6}=5$

students in the class enjoy eating sushi.

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Example Question #13 : Whole And Part

A car is on sale for $37.5\%$ off. If the original price is $\$9,000$ , how much does the car cost when it is on sale?

Possible Answers:

$\$3,375$

$\$5,565$

$\$4,575$

$\$5,625$

Correct answer:

$\$5,625$

Explanation:

Subtract the discount from the original price of the car.

$\$9000-(0.375\times\$9000)=\$5625$

The discounted car costs $\$5,625$ .

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

Jeremy bought $\$10.21$ worth of toothpaste. At the checkout, he found that he had a coupon that would take $20\%$ off the cost of the toothpaste. How much will Jeremy pay for the toothpaste if he uses the coupon?

Possible Answers:

$\$8.17$

$\$2.04$

$\$9.13$

$\$2.81$

Correct answer:

$\$8.17$

Explanation:

Subtract the amount the coupon would take off from the total amount the toothpaste would cost.

$\$10.21-(0.2\times\$10.21)=\$8.17$

If Jeremy uses the coupon, the toothpaste will cost $\$8.17$ .

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

The tax on the sale of a house worth $\$150,560$ was $\$22,584$ . What was the tax rate?

Possible Answers:

$5\%$

$15\%$

$9\%$

$11\%$

Correct answer:

$15\%$

Explanation:

To find the tax rate, divide the tax amount by the total worth of the house.

$22584\div150560=0.15$

Now, convert this decimal into a percentage.

$0.15\cdot\frac{100}{100}=\frac{15}{100}=15\%$

The tax rate on this house sale is $15\%$ .

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

If Hannah needs to pay a $12\%$ tax on her yearly income of $\$36,000$ , how much does she need to pay for the tax?

Possible Answers:

$\$4,320$

$\$4,221$

$\$5,600$

$\$3,240$

Correct answer:

$\$4,320$

Explanation:

Multiply $\$36,000$ by 0.12 to find the amount Hannah needs to pay in taxes.

$\$36,000\times0.12=\$4,320$

Hannah needs to pay $\$4,320$ in taxes.

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Example Question #21 : Whole And Part

A dress goes on sale for $32\%$ off. If the dress originally cost $\$34$ , how much does it cost while it is on sale?

Possible Answers:

$\$23.12$

$\$24.12$

$\$19.52$

$\$22.00$

Correct answer:

$\$23.12$

Explanation:

Subtract the amount discounted from the original cost of the dress to find its sale price.

$34-(0.32\times34)=23.12$

The dress cost $\$23.12$ on sale.

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Example Question #182 : Number Concepts And Operations

Initially, number of students were going to chip in to buy their teacher a present that cost dollars. If students decide not to pay, which of the following expressions represent how much each remaining student must now pay?

Possible Answers:

$\frac{d}{m-y}$

$\frac{m}{d}$

$\frac{d}{y-m}$

$\frac{m-y}{d}$

Correct answer:

$\frac{d}{m-y}$

Explanation:

To determine how much each person must pay, we will need to divide the total dollar amount by the number of people paying.

Before some students decided not to pay, the amount each person would have to pay is represented by the following expression:

$\frac{d}{m}$

Now, since students dropped out, we need to subtract that from the number of people who will be paying.

$\text{Cost per student}=\frac{d}{m-y}$

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All SSAT Upper Level Math Resources

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

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

All SSAT Upper Level Math Resources

Example Questions

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

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

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

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

Example Question #13 : Whole And Part

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

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

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

Example Question #21 : Whole And Part

Example Question #182 : Number Concepts And Operations

All SSAT Upper Level Math Resources

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