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SSAT Upper Level Math : Number Concepts and Operations

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 #111 : Rational Numbers

If $12.5\%$ of a certain number is 112 , what is that number?

Possible Answers:

896

900

Correct answer:

896

Explanation:

Let be the number we are looking for. With the information given in the question, we can write the following equation and solve for .

0.125x=112

$x=\frac{112}{0.125}$

x=896

$12.5\%$ of 896 is 112 , so 896 is the correct answer.

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Example Question #6 : Whole And Part

If $\frac{1}{5}$ of a certain number is , what is that number?

Possible Answers:

250

500

Correct answer:

250

Explanation:

Let be the number we are looking for. With the information given in the question, we can write the following equation and solve for .

$\frac{1}{5}x=50$

$\frac{5}{1}(\frac{1}{5}x)=(50)\frac{5}{1}$

x=250

$\frac{1}{5}$ of 250 is , so 250 is the correct answer.

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

If $\frac{3}{7}$ of a certain number is , what is that number?

Possible Answers:

$\frac{180}{7}$

140

150

Correct answer:

140

Explanation:

Let be the number we are looking for. With the information given in the question, we can write the following equation and solve for .

$\frac{3}{7}x=60$

$\frac{7}{3}(\frac{3}{7}x)=(60)\frac{7}{3}$

$x=\frac{60\cdot 7}{3}$

$x=\frac{420}{3}$

x=140

$\frac{3}{7}$ of 140 is , so 140 is the correct answer.

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Example Question #11 : Whole And Part

Last year, $70\%$ of students at a certain high school continued on to college. If 1400 students from this high school went to college, how many total students did the high school have last year?

Possible Answers:

5000

2000

2800

1400

Correct answer:

2000

Explanation:

Let be the total number of students enrolled last year at the high school the question describes. With the information given in the question, we can write the following equation and solve for .

0.7x=1400

$x=\frac{1400}{0.7}$

x=2000

$70\%$ of 2000 is 1400 , so the high school the question describes had 2000 students last year.

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Example Question #12 : Whole And Part

students in a class are vegetarian. If $12\%$ of this class is vegetarian, how many total students are in the class?

Possible Answers:

200

124

400

320

Correct answer:

200

Explanation:

Let be the total number of students in the class. With the information given in the question, we can write the following equation and solve for .

0.12x=24

$x=\frac{24}{0.12}$

x=200

$12\%$ of 200 is , so there are 200 students in the class the question describes.

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

What is $54\%$ of 250 ?

Possible Answers:

145

125

115

135

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:

$\$4,500$

$\$5,600$

$\$4,400$

$\$5,500$

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 #175 : Number Concepts And Operations

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:

$\$700$

$\$600$

$\$400$

$\$500$

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 #4 : How To Find The Part From The Whole

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:

$\$4,575$

$\$3,375$

$\$5,625$

$\$5,565$

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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All SSAT Upper Level Math Resources

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SSAT Upper Level Math : Number Concepts and Operations

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #111 : Rational Numbers

Example Question #6 : Whole And Part

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

Example Question #11 : Whole And Part

Example Question #12 : Whole And Part

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

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

Example Question #175 : Number Concepts And Operations

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

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

All SSAT Upper Level Math Resources

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