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ISEE Lower Level Quantitative : ISEE Lower Level (grades 5-6) Quantitative Reasoning

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 #1 : How To Use A Venn Diagram

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The Venn diagram shown above has three categories that represent information about the Wildcats varsity baseball team.

Category $\small L$ represents the number of players on the team that are left-handed.
Category $\small P$ represents the numebr of players on the team that are pitchers.
And, the overlapping portion of the Venn diagram represents the number of players that are left-handed pitchers.

Given that $\small L=6, P=9$ and that there are $\small 3$ players in the overlapping region of the diagram.

What fraction of the players are only left-handed?

Possible Answers:

$\small \frac{1}{5}$

$\small \frac{1}{6}$

$\small \frac{3}{6}$

$\small \frac{4}{5}$

Correct answer:

$\small \frac{1}{5}$

Explanation:

Since, there are $\small 6$ left-handed players total and $\small 3$ left-handed pitchers there must be $\small 3$ players that are left-handed but do not pitch, because $\small 6-3=3$ .

To find what fraction this represents we need to do:

$\frac{\text{left handed}}{\text{total players}}=\frac{3}{15}=\frac{1}{5}$

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Example Question #52 : Data Analysis

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In the above Venn diagram category $\small A$ represents the number of Kevin's friends that play the flute, while category $\small B$ represents the number of Kevin's friends that play the bass.

If $\small \frac{2}{8}$ of Kevin's friends only play the flute and $\small \frac{2}{8}$ of his friends only play the bass, then what fraction of Kevin's friends play both instruments?

Possible Answers:

$\small \frac{2}{3}$

$\small \frac{6}{8}$

$\small \frac{2}{8}$

$\small \frac{1}{2}$

Correct answer:

$\small \frac{1}{2}$

Explanation:

To find the fraction of Kevin's friends that play both the bass and the flute, consider that the fraction $\small \frac{8}{8}$ represents all of Kevin's friends in this senario.

Thus, the solution can be found by adding those that only play flute with those that only play bass and subtracting that final answer from the fraqction that represents all of Kevin's friends:

$\small \small \frac{2}{8}+\frac{2}{8}=\frac{4}{8}$

$\frac{8}{8}-\frac{4}{8}=\frac{8-4}{8}=\frac{4}{8}=\frac{1}{2}$

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Example Question #1661 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

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Possible Answers:

$15\%$

$25\%$

$20\%$

$40\%$

Correct answer:

$25\%$

Explanation:

$\small \frac{2}{8}$ of Kevin's friends only play the bass.

Thus, to find the fractional equivalent we need to multiply the fraction by 100.

The solution becomes:

$\frac{2}{8}\times100 = \frac{200}{8}=\frac{25}{1}= 25$

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Example Question #1662 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

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The Venn diagram above represents the results from a recent survey given to middle school students. Category $\small A$ represents the amount of students that only like pizza. Category $\small B$ represents the amount of students that only chicken nuggets.

What percentage of students only like pizza?

Possible Answers:

$48\%$

$20\%$

$35\%$

$13\%$

Correct answer:

$13\%$

Explanation:

Since Category $\small A$ represents the amount of students that only like pizza--and shows an amount of $\small 13$ percent in the Venn diagram, no calculations need to be performed.

Our answer is $13\%$ .

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Example Question #1663 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Which of the following shapes is NOT a quadrilateral?

Possible Answers:

Triangle

Square

Rectangle

Kite

Rhombus

Correct answer:

Triangle

Explanation:

A quadrilateral is any two-dimensional shape with sides. The only shape listed that does not have sides is a triangle.

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Example Question #1664 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

What is the main difference between a square and a rectangle?

Possible Answers:

The sum of their angles

Their color

Their side lengths

The number of sides they each have

Their angle measurments

Correct answer:

Their side lengths

Explanation:

The only difference between a rectangle and a square is their side lengths. A square has to have equal side lengths, but the opposite side lengths of a rectangle only have to be equal.

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Example Question #1963 : Common Core Math: Grade 5

What two shapes can a square be classified as?

Possible Answers:

Rectangle and Triangle

Trapezoid and Triangle

Trapezoid and Rhombus

Rhombus and Triangle

Rectangle and Rhombus

Correct answer:

Rectangle and Rhombus

Explanation:

A square can also be a rectangle and a rhombus because a rectangle has to have at least sets of equal side lengths and a rhombus has to have equal side lengths, like a square, and at least sets of equal angles.

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Example Question #1665 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

What is the main difference between a triangle and a rectangle?

Possible Answers:

The number of sides

The area

The volume

The length of the sides

The color

Correct answer:

The number of sides

Explanation:

Out of the choices given, the only characteristic used to describe shapes is the number of sides. A triangle has sides and a rectangle has sides.

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Example Question #1666 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Which two shapes have to have right angles?

Possible Answers:

Square and Rectangle

Rectangle and Rhombus

Rectangle and Parallelogram

Square and Rhombus

Square and Parallelogram

Correct answer:

Square and Rectangle

Explanation:

By definition, the only two quadrilaterals that have to have right angles, are the square and the rectangle.

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Example Question #1667 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Which of the shapes is NOT a quadrilateral?

Possible Answers:

Rhombus

Hexagon

Rectangle

Square

Trapezoid

Correct answer:

Hexagon

Explanation:

A quadrilateral is a sided shape. The only shape listed that does not have sides is a hexagon, which has sides.

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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 : ISEE Lower Level (grades 5-6) Quantitative Reasoning

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #1 : How To Use A Venn Diagram

Example Question #52 : Data Analysis

Example Question #1661 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #1662 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #1663 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #1664 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #1963 : Common Core Math: Grade 5

Example Question #1665 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #1666 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #1667 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

All ISEE Lower Level Quantitative Resources

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