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

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

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

Example Questions

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

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

Possible Answers:

$\displaystyle 90$

$\displaystyle 12$

$\displaystyle 5$

$\displaystyle 30$

$\displaystyle 20$

Correct answer:

$\displaystyle 20$

Explanation:

To solve:

Follow Order of Operations "PEMDAS".

First, solve equations within parentheses:

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

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

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

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

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

Possible Answers:

$\displaystyle 39$

$\displaystyle 24$

$\displaystyle 9$

2.25 $\displaystyle 2.25$

Correct answer:

$\displaystyle 39$

Explanation:

To solve:

First, solve exponents first.

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

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

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

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

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

$\small 49-10=$ $\displaystyle \small 49-10=$

$\small 39$ $\displaystyle \small 39$

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:

$\displaystyle 10$

$\displaystyle 8$

$\displaystyle 6$

$\displaystyle 4$

Correct answer:

$\displaystyle 10$

Explanation:

Divide :

$60.00 \div 6.00=10$ $\displaystyle 60.00 \div 6.00=10$

The answer is 10 weeks.

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Example Question #1 : 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:

$\displaystyle 6$

$\displaystyle 5$

$\displaystyle 4$

$\displaystyle 3$

Correct answer:

$\displaystyle 4$

Explanation:

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

$120 \div 30=4$ $\displaystyle 120 \div 30=4$

The answer is 4 hours.

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Example Question #4 : 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:

$\$38.25$ $\displaystyle \$38.25$

$\$35.75$ $\displaystyle \$35.75$

$\$46.25$ $\displaystyle \$46.25$

$\$49.25$ $\displaystyle \$49.25$

Correct answer:

$\$46.25$ $\displaystyle \$46.25$

Explanation:

Multiply: $\displaystyle 37 * 1.25 =46.25$

Answer: Kylie and Donna made $46.25.

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Example Question #1 : 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:

$\displaystyle 4$

$\displaystyle 3$

4.5 $\displaystyle 4.5$

3.5 $\displaystyle 3.5$

Correct answer:

3.5 $\displaystyle 3.5$

Explanation:

Divide $245 \div 70=3.5$ $\displaystyle 245 \div 70=3.5$ .

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

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

There are $\displaystyle 6$ pieces of candy for each of the $\displaystyle 13$ children at a birthday party. How many pieces of candy are there all together?

Possible Answers:

$\displaystyle 75$

$\displaystyle 13$

$\displaystyle 78$

$\displaystyle 19$

Correct answer:

$\displaystyle 78$

Explanation:

Multiply: 6*13=78 $\displaystyle 6*13=78$ pieces of candy

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

Betty bakes 9 cakes. How much money will she make if she sells each for $8.99?

Possible Answers:

80.91 $\displaystyle 80.91$

8.99 $\displaystyle 8.99$

89.90 $\displaystyle 89.90$

17.99 $\displaystyle 17.99$

Correct answer:

80.91 $\displaystyle 80.91$

Explanation:

Multiply:

$\displaystyle 8.99*9=80.91$

Answer: Betty will earn $80.91.

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

Julius paints six paintings. How much money will he earn when he sells each for $129.00?

Possible Answers:

903 $\displaystyle 903$

774 $\displaystyle 774$

135 $\displaystyle 135$

1161 $\displaystyle 1161$

Correct answer:

774 $\displaystyle 774$

Explanation:

Multiply:

$\displaystyle 129*6=774$

Answer: Julius will earn $774.00.

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Example Question #71 : Whole And Part

Penny sold her two bikes for $139.50 each. How much did Penny make from selling her bikes?

Possible Answers:

200 $\displaystyle 200$

259 $\displaystyle 259$

299 $\displaystyle 299$

279 $\displaystyle 279$

Correct answer:

279 $\displaystyle 279$

Explanation:

Multiply: $\displaystyle 139.50*2=279.00$

Answer: Penny made $279.00.

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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 : How to find the whole from the part

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

All ISEE Middle Level Math Resources

Example Questions

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 #1 : How To Find The Whole From The Part

Example Question #4 : 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 #1 : How To Find The Whole From The Part

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

Example Question #71 : Whole And Part

All ISEE Middle Level Math Resources

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