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ISEE Lower Level Quantitative : Operations with fractions and whole numbers

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #24 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Lauren made $\displaystyle 5$ gallons of punch. $\frac{1}{9}$ $\displaystyle \frac{1}{9}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{7}{9}$ $\displaystyle \frac{7}{9}$

$\frac{5}{9}$ $\displaystyle \frac{5}{9}$

$\displaystyle 7$

$\displaystyle 6$

$\frac{6}{9}$ $\displaystyle \frac{6}{9}$

Correct answer:

$\frac{5}{9}$ $\displaystyle \frac{5}{9}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{9}$ $\displaystyle \frac{1}{9}$ of the punch is water.

We know that we have $\displaystyle 5$ gallons of punch so we can set up our multiplication problem.

$\frac{1}{9}\times5$ $\displaystyle \frac{1}{9}\times5$

5 9

$\frac{1}{9}\times5$ $\displaystyle \frac{1}{9}\times5$ which means $\frac{1}{9}$ $\displaystyle \frac{1}{9}$ of each group of $5=\frac{5}{9}$ $\displaystyle 5=\frac{5}{9}$

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Example Question #25 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Tracy made $\displaystyle 6$ gallons of punch. $\frac{1}{9}$ $\displaystyle \frac{1}{9}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\displaystyle 7$

$\displaystyle 8$

$\frac{8}{9}$ $\displaystyle \frac{8}{9}$

$\frac{6}{9}$ $\displaystyle \frac{6}{9}$

$\frac{7}{9}$ $\displaystyle \frac{7}{9}$

Correct answer:

$\frac{6}{9}$ $\displaystyle \frac{6}{9}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{9}$ $\displaystyle \frac{1}{9}$ of the punch is water.

We know that we have $\displaystyle 6$ gallons of punch so we can set up our multiplication problem.

$\frac{1}{9}\times6$ $\displaystyle \frac{1}{9}\times6$

6 9

$\frac{1}{9}\times6$ $\displaystyle \frac{1}{9}\times6$ which means $\frac{1}{9}$ $\displaystyle \frac{1}{9}$ of each group of $6=\frac{6}{9}$ $\displaystyle 6=\frac{6}{9}$

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Example Question #26 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Kate made $\displaystyle 7$ gallons of punch. $\frac{1}{9}$ $\displaystyle \frac{1}{9}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{5}{9}$ $\displaystyle \frac{5}{9}$

$\frac{7}{9}$ $\displaystyle \frac{7}{9}$

$\frac{8}{9}$ $\displaystyle \frac{8}{9}$

$\displaystyle 8$

$\displaystyle 9$

Correct answer:

$\frac{7}{9}$ $\displaystyle \frac{7}{9}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{9}$ $\displaystyle \frac{1}{9}$ of the punch is water.

We know that we have $\displaystyle 7$ gallons of punch so we can set up our multiplication problem.

$\frac{1}{9}\times7$ $\displaystyle \frac{1}{9}\times7$

7 9

$\frac{1}{9}\times7$ $\displaystyle \frac{1}{9}\times7$ which means $\frac{1}{9}$ $\displaystyle \frac{1}{9}$ of each group of $7=\frac{7}{9}$ $\displaystyle 7=\frac{7}{9}$

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Example Question #27 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Leslie made $\displaystyle 8$ gallons of punch. $\frac{1}{9}$ $\displaystyle \frac{1}{9}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{1}{9}$ $\displaystyle \frac{1}{9}$

$\frac{8}{9}$ $\displaystyle \frac{8}{9}$

$\displaystyle 8$

$\frac{9}{9}$ $\displaystyle \frac{9}{9}$

$\displaystyle 9$

Correct answer:

$\frac{8}{9}$ $\displaystyle \frac{8}{9}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{9}$ $\displaystyle \frac{1}{9}$ of the punch is water.

We know that we have $\displaystyle 8$ gallons of punch so we can set up our multiplication problem.

$\frac{1}{9}\times8$ $\displaystyle \frac{1}{9}\times8$

8 9

$\frac{1}{9}\times8$ $\displaystyle \frac{1}{9}\times8$ which means $\frac{1}{9}$ $\displaystyle \frac{1}{9}$ of each group of $8=\frac{8}{9}$ $\displaystyle 8=\frac{8}{9}$

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Example Question #28 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Cali made $\displaystyle 2$ gallons of punch. $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\displaystyle 2$

$\frac{5}{10}$ $\displaystyle \frac{5}{10}$

$\frac{3}{10}$ $\displaystyle \frac{3}{10}$

$\displaystyle 3$

$\frac{2}{10}$ $\displaystyle \frac{2}{10}$

Correct answer:

$\frac{2}{10}$ $\displaystyle \frac{2}{10}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of the punch is water.

We know that we have $\displaystyle 2$ gallons of punch so we can set up our multiplication problem.

$\frac{1}{10}\times2$ $\displaystyle \frac{1}{10}\times2$

2 10

$\frac{1}{10}\times2$ $\displaystyle \frac{1}{10}\times2$ which means $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of each group of $2=\frac{2}{10}$ $\displaystyle 2=\frac{2}{10}$

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Example Question #29 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Juliet made $\displaystyle 3$ gallons of punch. $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{4}{10}$ $\displaystyle \frac{4}{10}$

$\frac{3}{10}$ $\displaystyle \frac{3}{10}$

$\displaystyle 1$

$\displaystyle 4$

$\frac{1}{10}$ $\displaystyle \frac{1}{10}$

Correct answer:

$\frac{3}{10}$ $\displaystyle \frac{3}{10}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of the punch is water.

We know that we have $\displaystyle 3$ gallons of punch so we can set up our multiplication problem.

$\frac{1}{10}\times3$ $\displaystyle \frac{1}{10}\times3$

3 10

$\frac{1}{10}\times3$ $\displaystyle \frac{1}{10}\times3$ which means $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of each group of $3=\frac{3}{10}$ $\displaystyle 3=\frac{3}{10}$

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Example Question #61 : Operations With Fractions And Whole Numbers

Kara made $\displaystyle 4$ gallons of punch. $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{3}{10}$ $\displaystyle \frac{3}{10}$

$\frac{5}{10}$ $\displaystyle \frac{5}{10}$

$\displaystyle 3$

$\displaystyle 4$

$\frac{4}{10}$ $\displaystyle \frac{4}{10}$

Correct answer:

$\frac{4}{10}$ $\displaystyle \frac{4}{10}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of the punch is water.

We know that we have $\displaystyle 4$ gallons of punch so we can set up our multiplication problem.

$\frac{1}{10}\times4$ $\displaystyle \frac{1}{10}\times4$

4 10

$\frac{1}{10}\times4$ $\displaystyle \frac{1}{10}\times4$ which means $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of each group of $4=\frac{4}{10}$ $\displaystyle 4=\frac{4}{10}$

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Example Question #62 : Operations With Fractions And Whole Numbers

Jessica made $\displaystyle 5$ gallons of punch. $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{3}{10}$ $\displaystyle \frac{3}{10}$

$\frac{5}{10}$ $\displaystyle \frac{5}{10}$

$\displaystyle 2$

$\displaystyle 5$

$\frac{6}{10}$ $\displaystyle \frac{6}{10}$

Correct answer:

$\frac{5}{10}$ $\displaystyle \frac{5}{10}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of the punch is water.

We know that we have $\displaystyle 5$ gallons of punch so we can set up our multiplication problem.

$\frac{1}{10}\times5$ $\displaystyle \frac{1}{10}\times5$

5 10

$\frac{1}{10}\times5$ $\displaystyle \frac{1}{10}\times5$ which means $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of each group of $5=\frac{5}{10}$ $\displaystyle 5=\frac{5}{10}$

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Example Question #63 : Operations With Fractions And Whole Numbers

Kathy made $\displaystyle 6$ gallons of punch. $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\displaystyle 7$

$\displaystyle 5$

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$

$\frac{6}{10}$ $\displaystyle \frac{6}{10}$

$\frac{5}{10}$ $\displaystyle \frac{5}{10}$

Correct answer:

$\frac{6}{10}$ $\displaystyle \frac{6}{10}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of the punch is water.

We know that we have $\displaystyle 6$ gallons of punch so we can set up our multiplication problem.

$\frac{1}{10}\times6$ $\displaystyle \frac{1}{10}\times6$

6 10

$\frac{1}{10}\times6$ $\displaystyle \frac{1}{10}\times6$ which means $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of each group of $6=\frac{6}{10}$ $\displaystyle 6=\frac{6}{10}$

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Example Question #64 : Operations With Fractions And Whole Numbers

Jessica made $\displaystyle 7$ gallons of punch. $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{8}{10}$ $\displaystyle \frac{8}{10}$

$\displaystyle 8$

$\displaystyle 7$

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$

$\frac{6}{10}$ $\displaystyle \frac{6}{10}$

Correct answer:

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of the punch is water.

We know that we have $\displaystyle 7$ gallons of punch so we can set up our multiplication problem.

$\frac{1}{10}\times7$ $\displaystyle \frac{1}{10}\times7$

7 10

$\frac{1}{10}\times7$ $\displaystyle \frac{1}{10}\times7$ which means $\frac{1}{10}$ $\displaystyle \frac{1}{10}$ of each group of $7=\frac{7}{10}$ $\displaystyle 7=\frac{7}{10}$

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Lower Level Quantitative : Operations with fractions and whole numbers

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #24 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #25 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #26 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #27 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #28 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #29 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #61 : Operations With Fractions And Whole Numbers

Example Question #62 : Operations With Fractions And Whole Numbers

Example Question #63 : Operations With Fractions And Whole Numbers

Example Question #64 : Operations With Fractions And Whole Numbers

All ISEE Lower Level Quantitative Resources

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