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ISEE Middle Level Math : Numbers and Operations

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

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #58 : How To Find The Part From The Whole

What is $\frac{1}{4}$ of 280 ?

Possible Answers:

140

110

220

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number. So, we get

$\frac{1}{4} \cdot 280$

$\frac{1}{4} \cdot \frac{280}{1}$

$\frac{1 \cdot 280}{4 \cdot 1}$

$\frac{280}{4}$

Therefore, $\frac{1}{4}$ of 280 is .

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Example Question #52 : Whole And Part

What is a quarter of 96 ?

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.

We know that "a quarter" is the same as $\frac{1}{4}$ . So, we get

$\frac{1}{4} \cdot 96$

$\frac{1}{4} \cdot \frac{96}{1}$

$\frac{1 \cdot 96}{4 \cdot 1}$

$\frac{96}{4}$

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Example Question #101 : Numbers And Operations

What is $\frac{1}{5}$ of ?

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number. So, we get

$\frac{1}{5} \cdot 75$

$\frac{1}{5} \cdot \frac{75}{1}$

$\frac{1 \cdot 75}{5 \cdot 1}$

$\frac{75}{5}$

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Example Question #102 : Numbers And Operations

What is a third of 27?

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.

We know a third is the same as $\frac{1}{3}$ . So, we get

$\frac{1}{3} \cdot 27$

$\frac{1}{3} \cdot \frac{27}{1}$

$\frac{1 \cdot 27}{3 \cdot 1}$

$\frac{27}{3}$

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

$\small 4\cdot \left ( 3\cdot 5 \right )\div \left ( 2+1 \right )=$

Possible Answers:

Correct answer:

Explanation:

To solve:

Follow Order of Operations "PEMDAS".

First, solve equations within parentheses:

$\small 4\cdot \small \left ( 15 \right ) \div \left ( 3 \right )=$

Then, solve the entire equation working from left to right as multiplication and division are interchangeable:

$\small \small 60\div 3= 20$

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

$\small 7^{^{2}}-\left ( 6^{^{2}}+4 \right ) \div 4=$

Possible Answers:

2.25

Correct answer:

Explanation:

To solve:

First, solve exponents first.

$\small 7^{^{2}}+\left ( 6^{^{2}} \right +4) \div 4=$

$\small \small \small 49- \left ( 36+4 \right )\div 4=$

Then, follow order of operations to solve the rest of the equation:

$\small \small 49 - \left ( 36+4 \right ) \div 4=$

$\small \small 49 - 40 \div 4=$

$\small 49-10=$

$\small 39$

The answer is 39.

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

Lisa gets $6.00 as allowance each week. If she wants to buy a doll which costs $60.00, how many weeks does Lisa need to save her allowance in order to buy the doll?

Possible Answers:

Correct answer:

Explanation:

Divide :

$60.00 \div 6.00=10$

The answer is 10 weeks.

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

Elena lives 120 miles away from her mom. If she drives 30 miles per hour, how many hours will it take her to arrive at her mother's house.

Possible Answers:

Correct answer:

Explanation:

Divide 120 by 30, to find the amount of hours it would take Elena to travel to her mother's house.

$120 \div 30=4$

The answer is 4 hours.

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

Kylie and Donna are selling lemonade at their stand. If they sell 37 lemonades, how much money did they make if each lemonade costs $1.25?

Possible Answers:

$\$35.75$

$\$49.25$

$\$38.25$

$\$46.25$

Correct answer:

$\$46.25$

Explanation:

Multiply: 37 * 1.25 =46.25

Answer: Kylie and Donna made $46.25.

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

Danny drives 70 miles per hour. How long will it take him to reach his grandfather's house 245 miles away.

Possible Answers:

3.5

4.5

Correct answer:

3.5

Explanation:

Divide $245 \div 70=3.5$ .

Answer: It will take Danny 3.5 hours to arrive to his grandfather's house.

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Middle Level Math : Numbers and Operations

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #58 : How To Find The Part From The Whole

Example Question #52 : Whole And Part

Example Question #101 : Numbers And Operations

Example Question #102 : Numbers And Operations

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

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

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

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

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

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

All ISEE Middle Level Math Resources

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