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ISEE Lower Level Quantitative : How to find symmetry

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

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Example Question #11 : Lines

The cable on Ryan's new cellphone charger is twice as long as his old cellphone charger cable. If Ryan's new cellphone charger has a feet long cable, how long was his old charger cable?

Possible Answers:

${}\small 1\tfrac{1}{2}$

$1\tfrac{3}{4}$

$1\tfrac{1}{4}$

Correct answer:

${}\small 1\tfrac{1}{2}$

Explanation:

To find the length of Ryan's old cellphone cable, divide the length of his new cellphone charger in half.

The solution is:

$\small 3\div2=1\tfrac{1}{2}$

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Example Question #12 : Lines

Line segment $\small \bar{AE}$ is twice as long as line segment $\small \bar{AC}$ . If line segment $\small \bar{AE}$ is inches, how many inches is $\small \bar{AC}$ ?

Possible Answers:

$\small 26 \text{ in}$

$\small 28 \text{ in}$

$\small 34 \text{ in}$

$\small 36 \text{ in}$

Correct answer:

$\small 28 \text{ in}$

Explanation:

The length of line segment $\small \bar{AC}$ is half the length of line segment $\small \bar{AE}$ .

Therefore, divide $\small 56$ by $\small 2$ .

$\small 56 \div2=28$

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Example Question #11 : How To Find Symmetry

Line segment $\small \bar{JK}$ is twice as long as line segment $\small \bar{LP}$ . If line segment $\small \bar{JK}$ is $\small 148$ centimeters, how many centimeters is line segment $\small \bar{LP}$ ?

Possible Answers:

$\small 72 \text{ in}$

$\small 72 \text{ cm}$

$\small 86 \text{ cm}$

$\small 74 \text{ cm}$

Correct answer:

$\small 74 \text{ cm}$

Explanation:

To find the length of line segment $\small \bar{LP}$ , divide the length of line segment $\small \bar{JK}$ .
Therefore, the length of line segment $\small \bar{LP}$ is:

$\small 148 \div 2=74$

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Example Question #14 : Lines

Find the midpoint between coordinate points $\small (-2,4)$ and $\small \small (4,4)$ .

Possible Answers:

$\small (0,4)$

$\small (1,0)$

$\small (1,4)$

$\small (0,0)$

Correct answer:

$\small (1,4)$

Explanation:

To find the midpoint between these two coordinate points, use the formula,

$\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right )$

Since our (x_1,y_1)=(-2,4) and our (x_2,y_2)=(4,4) the midpoint formula becomes,

$\left(\frac{-2+4}{2},\frac{4+4}{2}\right )=\left(\frac{2}{2}, \frac{8}{2} \right )=(1,4)$ .

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Example Question #531 : Plane Geometry

In a football contest, Jeff threw the football twice as far as Robby. If Jeff threw the ball $\small 38$ yards, how many yards did Robby throw the ball?

Possible Answers:

$\small 19 \text{ yds}$

$\small 16$ yards

$\small 18 \text{ yds}$

$\small 24 \text{ yds}$

Correct answer:

$\small 19 \text{ yds}$

Explanation:

Since Jeff threw the football twice as far as Robby, divide $\small 38$ by $\small 2$ .

$\small 38\div2=19$

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Example Question #1521 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Line segment $\small \bar{xy}$ goes exactly halfway across a sheet of paper. If the sheet of paper has a width of $\small 12\tfrac{1}{2}$ inches, how long is line segment $\small \bar{xy}$ ?

Possible Answers:

$\small 6\tfrac{1}{2} \text{ in}$

$\small 6\tfrac{3}{4} \text{ in}$

$\small 6 \text{ in}$

$\small 6\tfrac{1}{4} \text{ in}$

Correct answer:

$\small 6\tfrac{1}{4} \text{ in}$

Explanation:

Since the length of line segment $\small \bar{xy}$ is half of $\small 12\tfrac{1}{2}$ , convert $\small 12\tfrac{1}{2}$ to a mixed number.

$\small 12\tfrac{1}{2}= \frac{12 \cdot 2 +1}{2}= \frac{25}{2}$

Then divide $\small \frac{25}{2}$ by .

$\small \frac{25}{2}\div2=\frac{25}{2}\times \frac{1}{2}=\frac{25}{4}$

Then convert $\small \frac{25}{4}$ to a mixed number.

$\small \frac{25}{4}=6\tfrac{1}{4}$

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Example Question #532 : Plane Geometry

The Johnson family had an extension put onto their driveway that doubled the width of the driveway. If their driveway was originally $\small 13$ feet wide, how wide is their new driveway?

Possible Answers:

$\small 24\text{ ft}$

$\small 26 \text{ ft}$

$\small 29 \text{ ft}$

$\small 32 \text{ ft}$

Correct answer:

$\small 26 \text{ ft}$

Explanation:

Since the original driveway was half the width of the new driveway, multiply $\small 13$ by $\small 2$ .

$\small 13\times2=26$

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Example Question #11 : How To Find Symmetry

Line segment $\small \bar{xy}$ is twice as long as line segment $\small \bar{ab}$ and half as long as line segment $\small \bar{cd}$ . If line segment $\small \bar{cd}$ is $\small 84$ meters, how long is line segment $\small \bar{xy}$ ?

Possible Answers:

$\small 38 \text{ m}$

$\small 39 \text{ m}$

$\small 44 \text{ m}$

$\small 42 \text{ m}$

Correct answer:

$\small 42 \text{ m}$

Explanation:

Since line segment $\small \bar{xy}$ is half the length of line segment $\small \bar{cd}$ we need to divide $\small 84$ by $\small 2$ .

$\small 84\div2=42$

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Example Question #11 : How To Find Symmetry

How many lines of symmetry does an octagon have?

Possible Answers:

Correct answer:

Explanation:

A line of symmetry divides a shape into two equal and identical halves. Any regular shape has as many lines of symmetry as it does sides. Since octagons have eight sides, the correct answer is 8.

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Example Question #11 : Draw And Identify Lines And Angles, And Classify Shapes By Properties Of Their Lines And Angles

Do the black lines in the figure represent lines of symmetry?

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

When you are trying to decide if a line represents a line of symmetry you can think about folding the figure across that line. Once you make the fold, do all of the parts line up on top?

If yes, then the line represents a line of symmetry.

If no, then the line does not represent a line of symmetry.

These lines represent lines of symmetry because if you fold on the black lines, then one side would lay on top of the other and the parts would match up.

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ISEE Lower Level Quantitative : How to find symmetry

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #11 : Lines

Example Question #12 : Lines

Example Question #11 : How To Find Symmetry

Example Question #14 : Lines

Example Question #531 : Plane Geometry

Example Question #1521 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #532 : Plane Geometry

Example Question #11 : How To Find Symmetry

Example Question #11 : How To Find Symmetry

Example Question #11 : Draw And Identify Lines And Angles, And Classify Shapes By Properties Of Their Lines And Angles

All ISEE Lower Level Quantitative Resources

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