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SSAT Upper Level Math : Rational Numbers

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 #181 : Number Concepts And Operations

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:

$\$9.13$

$\$2.04$

$\$2.81$

$\$8.17$

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 #121 : Rational Numbers

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:

$\$23.12$

$\$22.00$

$\$24.12$

$\$19.52$

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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Example Question #121 : Fractions

Pauline has pieces of candy. If she eats $25\%$ of the candy then accidentally drops $\frac{1}{3}$ of the remaining amount on the ground, how many pieces of candy does she have left?

Possible Answers:

Correct answer:

Explanation:

First, find out how many pieces of candy Pauline has after eating $25\%$ of them.

$20-(0.25\times20)=15$

Now, she loses $\frac{1}{3}$ of this remaining amount. Since $\frac{1}{3}$ of is , that means that her new total is 15 - 5 = 10 pieces of candy.

Pauline is left with 10 pieces of candy.

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Example Question #121 : Rational Numbers

Janice had $\frac{3}{4}$ of a cup of milk. If she used $\frac{1}{12}$ cup to make some scrambled eggs, how much of a cup of milk does she have left?

Possible Answers:

$\frac{2}{3}$

$\frac{1}{3}$

$\frac{3}{5}$

$\frac{1}{4}$

Correct answer:

$\frac{2}{3}$

Explanation:

Subtract the two fractions. To subtract them, they must have a common denominator. Multiply the numerator and denominator of $\frac{3}{4}$ by to create a common denominator of , then subtract the numerators and reduce the resulting fraction.

$\frac{3}{4}-\frac{1}{12}=\frac{9}{12}-\frac{1}{12}=\frac{8}{12}=\frac{2}{3}$

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Example Question #2 : How To Subtract Fractions

What is the result of this operation?

$\frac{3}{4}-\frac{1}{4}=?$

Possible Answers:

$\frac{1}{2}$

$\frac{2}{7}$

$\frac{3}{4}$

$\frac{1}{4}$

Correct answer:

$\frac{1}{2}$

Explanation:

Since the denominators are exactly the same, we can just subtract the tops.

$\frac{3}{4}-\frac{1}{4}=\frac{2}{4}$

By reducing we get

$\frac{1}{2}$

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Example Question #3 : How To Subtract Fractions

What is the result of this operation?

$\frac{2}{7}-\frac{1}{7}=?$

Possible Answers:

$\frac{3}{7}$

$\frac{4}{7}$

$\frac{1}{7}$

$\frac{2}{7}$

Correct answer:

$\frac{1}{7}$

Explanation:

Since the denominators are the same, we can just subtract the numerators.

$\frac{2}{7}-\frac{1}{7}=\frac{1}{7}$

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Example Question #4 : How To Subtract Fractions

What is the result of this operation?

$\frac{4}{9}-\frac{1}{9}=?$

Possible Answers:

$\frac{1}{3}$

$\frac{2}{9}$

$\frac{1}{9}$

$\frac{4}{9}$

Correct answer:

$\frac{1}{3}$

Explanation:

Since the denominators are the same, we can just subtract the numerators.

$\frac{4}{9}-\frac{1}{9}=\frac{3}{9}$

By reducing our result, we get

$\frac{1}{3}$

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SSAT Upper Level Math : Rational Numbers

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #181 : Number Concepts And Operations

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

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

Example Question #121 : Rational Numbers

Example Question #182 : Number Concepts And Operations

Example Question #121 : Fractions

Example Question #121 : Rational Numbers

Example Question #2 : How To Subtract Fractions

Example Question #3 : How To Subtract Fractions

Example Question #4 : How To Subtract Fractions

All SSAT Upper Level Math Resources

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