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ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning

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

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #14 : How To Add Fractions

Untitled

The square and the triangle in the above diagram are both equally divided. Which is the greater quantity?

(a) The fraction of the square that is shaded

(b) The fraction of the triangle that is shaded

Possible Answers:

It is impossible to determine which is greater from the information given

(a) and (b) are equal

(a) is the greater quantity

(b) is the greater quantity

Correct answer:

(a) and (b) are equal

Explanation:

The square is divided into eighteen triangles of equal size and shape; nine are shaded, so the fraction of the square that is shaded is

$\frac{9}{18} = \frac{9 \div 9 }{18\div 9 } = \frac{1}{2}$

The triangle is divided into sixteen triangles of equal size and shape; eight are shaded, so the fraction of the square that is shaded is

$\frac{8}{16} = \frac{8 \div 8 }{16 \div 8 } = \frac{1}{2}$ .

The fractions are equal.

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Example Question #1 : Adding Fractions In Word Problems

In Charlie's pantry, $\frac{2}{5}$ of the items are potato chips, $\frac{1}{5}$ of the items are tortilla chips, and the rest are cookies or crackers. What fraction are chips?

Possible Answers:

$\frac{2}{5}$

$\frac{1}{5}$

$\frac{5}{5}$

$\frac{3}{5}$

$\frac{4}{5}$

Correct answer:

$\frac{3}{5}$

Explanation:

To solve this problem, we are putting the potato chips and the tortilla chips together, so we add the fractions.

$\frac{2}{5}+\frac{1}{5}=\frac{3}{5}$

3 5

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Example Question #1 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

In Stuart's pantry, $\frac{1}{5}$ of the items are chips and $\frac{1}{5}$ of the items are cereal. What fraction of the items are chips or cereal?

Possible Answers:

$\frac{2}{5}$

$\frac{5}{5}$

$\frac{3}{5}$

$\frac{1}{5}$

$\frac{4}{5}$

Correct answer:

$\frac{2}{5}$

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions.

$\frac{1}{5}+\frac{1}{5}=\frac{2}{5}$

2 5

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Example Question #1 : Adding Fractions In Word Problems

In Andy's pantry, $\frac{3}{5}$ of the items are chips and $\frac{1}{5}$ of the items are cereal. What fraction of the items are chips or cereal?

Possible Answers:

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{1}{5}$

$\frac{5}{5}$

$\frac{4}{5}$

Correct answer:

$\frac{4}{5}$

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions.

$\frac{3}{5}+\frac{1}{5}=\frac{4}{5}$

4 5

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Example Question #2 : Adding Fractions In Word Problems

In Sara's pantry, $\frac{2}{10}$ of the items are chips and $\frac{3}{10}$ of the items are cereal. What fraction of the items are chips or cereal?

Possible Answers:

$\frac{2}{10}$

$\frac{3}{10}$

$\frac{6}{10}$

$\frac{5}{10}$

$\frac{4}{10}$

Correct answer:

$\frac{5}{10}$

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions.

$\frac{2}{10}+\frac{3}{10}=\frac{5}{10}$

5 10

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Example Question #4 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

In Susan's pantry, $\frac{6}{10}$ of the items are chips and $\frac{3}{10}$ of the items are cereal. What fraction of the items are chips or cereal?

Possible Answers:

$\frac{9}{10}$

$\frac{8}{10}$

$\frac{7}{10}$

$\frac{5}{10}$

$\frac{6}{10}$

Correct answer:

$\frac{9}{10}$

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions.

$\frac{6}{10}+\frac{3}{10}=\frac{9}{10}$

9 10

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Example Question #5 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

In Dan's pantry, $\frac{3}{10}$ of the items are chips and $\frac{4}{10}$ of the items are cereal. What fraction of the items are chips or cereal?

Possible Answers:

$\frac{6}{10}$

$\frac{8}{10}$

$\frac{9}{10}$

$\frac{5}{10}$

$\frac{7}{10}$

Correct answer:

$\frac{7}{10}$

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions.

$\frac{3}{10}+\frac{4}{10}=\frac{7}{10}$

7 10

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Example Question #3 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

In Susan's pantry, $\frac{2}{10}$ of the items are chips and $\frac{7}{10}$ of the items are cereal. What fraction of the items are chips or cereal?

Possible Answers:

$\frac{9}{10}$

$\frac{7}{10}$

$\frac{5}{10}$

$\frac{8}{10}$

$\frac{6}{10}$

Correct answer:

$\frac{9}{10}$

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions.

$\frac{2}{10}+\frac{7}{10}=\frac{9}{10}$

9 10

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Example Question #4 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

In Mark's pantry, $\frac{1}{6}$ of the items are chips and $\frac{1}{6}$ of the items are cereal. What fraction of the items are chips or cereal?

Possible Answers:

$\frac{5}{6}$

$\frac{3}{6}$

$\frac{4}{6}$

$\frac{1}{6}$

$\frac{2}{6}$

Correct answer:

$\frac{2}{6}$

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions.

$\frac{1}{6}+\frac{1}{6}=\frac{2}{6}$

2 6

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Example Question #6 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

In Tim's pantry, $\frac{3}{6}$ of the items are chips and $\frac{1}{6}$ of the items are cereal. What fraction of the items are chips or cereal?

Possible Answers:

$\frac{2}{6}$

$\frac{4}{6}$

$\frac{3}{6}$

$\frac{1}{6}$

$\frac{5}{6}$

Correct answer:

$\frac{4}{6}$

Explanation:

To solve this problem, we are putting the chips and the cereal together, so we add the fractions.

$\frac{3}{6}+\frac{2}{6}=\frac{4}{6}$

4 6

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ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning

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

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #14 : How To Add Fractions

Example Question #1 : Adding Fractions In Word Problems

Example Question #1 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

Example Question #1 : Adding Fractions In Word Problems

Example Question #2 : Adding Fractions In Word Problems

Example Question #4 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

Example Question #5 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

Example Question #3 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

Example Question #4 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

Example Question #6 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

All ISEE Middle Level Quantitative Resources

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