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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

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Example Questions

Example Question #691 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

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:

(a) and (b) are equal

(b) is the greater quantity

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

(a) 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 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

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:

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{5}{5}$

$\frac{1}{5}$

$\frac{4}{5}$

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 : Adding Fractions In Word Problems

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:

$\frac{1}{5}$

$\frac{3}{5}$

$\frac{5}{5}$

$\frac{4}{5}$

$\frac{2}{5}$

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 #1151 : Common Core Math: Grade 4

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:

$\frac{1}{5}$

$\frac{2}{5}$

$\frac{4}{5}$

$\frac{3}{5}$

$\frac{5}{5}$

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 #1152 : Common Core Math: Grade 4

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:

$\frac{2}{10}$

$\frac{5}{10}$

$\frac{3}{10}$

$\frac{4}{10}$

$\frac{6}{10}$

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 #1 : 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:

$\frac{9}{10}$

$\frac{6}{10}$

$\frac{8}{10}$

$\frac{5}{10}$

$\frac{7}{10}$

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 #3 : Adding Fractions In Word Problems

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:

$\frac{5}{10}$

$\frac{6}{10}$

$\frac{7}{10}$

$\frac{9}{10}$

$\frac{8}{10}$

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 #231 : Build Fractions From Unit Fractions

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:

$\frac{7}{10}$

$\frac{5}{10}$

$\frac{8}{10}$

$\frac{6}{10}$

$\frac{9}{10}$

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 #3 : Adding Fractions In Word Problems

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:

$\frac{5}{6}$

$\frac{2}{6}$

$\frac{1}{6}$

$\frac{3}{6}$

$\frac{4}{6}$

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 #4 : Adding Fractions In Word Problems

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:

$\frac{1}{6}$

$\frac{5}{6}$

$\frac{3}{6}$

$\frac{4}{6}$

$\frac{2}{6}$

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 #691 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

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 #1151 : Common Core Math: Grade 4

Example Question #1152 : Common Core Math: Grade 4

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

Example Question #3 : Adding Fractions In Word Problems

Example Question #231 : Build Fractions From Unit Fractions

Example Question #3 : Adding Fractions In Word Problems

Example Question #4 : Adding Fractions In Word Problems

All ISEE Middle Level Quantitative Resources

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