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ISEE Lower Level Quantitative : Geometry

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 #2 : How To Find Symmetry

How many lines of symmetry does an octagon have?

Possible Answers:

Correct answer:

Explanation:

A line of symmetry is the imaginary line that you draw through a shape so that you can fold the image over the line and have both halves match exactly. Any regular shape has as many lines of symmetry as it does sides. Since an octagon has eight sides, the correct answer is .

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Example Question #4 : How To Find Symmetry

Ms. Johnson is knitting a blanket for her grandson. She has a piece of yarn that is exactly feet long however, she only needs half of the piece of yarn. What is the length of the piece of yarn that Ms. Johnson needs to make the blanket for her grandson?

Possible Answers:

$1.5 \text{ in}$

$2 \text{ ft}$

$2.5\text{ in}$

$2.5 \text{ ft}$

$1.5 \text{ ft}$

Correct answer:

$2.5 \text{ ft}$

Explanation:

Ms. Johnson started with feet of yarn, however she only needs half of the feet.

To find the length of the amount of yarn that she needs, divide in half.

The solution is:

$\frac{5}{2}=2.5$

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Example Question #761 : Geometry

Mr. Thomas' rectangular garden has a width of feet. The length of his garden is exactly half the distance of the width of the garden. How long is the length of Mr. Thomas' garden?

Possible Answers:

$8 \text{ in}$

$16 \text{ ft}$

$18 \text{ ft}$

$8 \text{ ft}$

Correct answer:

$16 \text{ ft}$

Explanation:

The length of Mr. Thomas' garden is exactly half the distance of the width of the garden.

The width of the garden is feet.

Thus, the length is equal to,

$\frac{32}{2}=16$

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Example Question #3 : How To Find Symmetry

Celeste is Debra's year old daughter. Both Debra and Celeste measured their height on the wall. Celeste was surprised to find out that she is exactly half the height of her mother. If Debra is $5 \tfrac{1}{2}$ feet tall, how tall is Celeste?

Possible Answers:

$2\tfrac{2}{4} \text{ ft}$

$2\tfrac{3}{4} \text{ ft}$

${}2\tfrac{1}{4} \text{ ft}$

${}\frac{11}{2} \text{ ft}$

Correct answer:

$2\tfrac{3}{4} \text{ ft}$

Explanation:

Debra is $5\tfrac{1}{2}$ feet tall. Celeste is half the height of her mother Debra.

Thus, to find Celeste's height, divide $5\tfrac{1}{2}$ in half.

The solution is:

Step one: convert $5\tfrac{1}{2}$ into an improper fraction.

$5\tfrac{1}{2}=\frac{11}{2}$

Step two: divide $\frac{11}{2}$ by .

$\frac{\frac{11}{2}}{2}=\frac{11}{2}\cdot\frac{1}{2}=\frac{11}{4}$

Step three: express $\frac{11}{4}$ in feet as a mixed number.

$11\div4=2\tfrac{3}{4}$

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Example Question #4 : How To Find Symmetry

Mr. Lam is planning on painting a rectangular wall in his living room. Before he starts painting, he decided to take a few measurements of the wall. He finds out that the width of the wall is twice the measurement of the height of the wall. If the width of the wall is feet, what is the height of the wall?

Possible Answers:

$11\tfrac{3}{4} \text{ ft}$

$12\tfrac{1}{2} \text{ ft}$

$10\tfrac{1}{2} \text{ ft}$

$12\tfrac{3}{4} \text{ ft}$

Correct answer:

$12\tfrac{1}{2} \text{ ft}$

Explanation:

Since the height of the rectangular wall is half the length of the width, divide by

The solution is:

$25 \div2=12\tfrac{1}{2}$

Check:

$12\times2=24$
$2\times \frac{1}{2}=1$
24 + 1= 25

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Example Question #761 : Geometry

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:

$1\tfrac{3}{4}$

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

$1\tfrac{1}{4}$

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 #763 : Geometry

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:

$\small 28 \text{ in}$

$\small 36 \text{ in}$

$\small 34 \text{ in}$

$\small 26 \text{ in}$

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 #12 : 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:

$\small 72 \text{ in}$

$\small 72 \text{ cm}$

$\small 74 \text{ cm}$

$\small 86 \text{ cm}$

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 #764 : Geometry

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

Possible Answers:

$\small (0,0)$

$\small (1,4)$

$\small (1,0)$

$\small (0,4)$

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 #762 : 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:

$\small 24 \text{ yds}$

$\small 16$ yards

$\small 19 \text{ yds}$

$\small 18 \text{ yds}$

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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All ISEE Lower Level Quantitative Resources

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ISEE Lower Level Quantitative : Geometry

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #2 : How To Find Symmetry

Example Question #4 : How To Find Symmetry

Example Question #761 : Geometry

Example Question #3 : How To Find Symmetry

Example Question #4 : How To Find Symmetry

Example Question #761 : Geometry

Example Question #763 : Geometry

Example Question #12 : How To Find Symmetry

Example Question #764 : Geometry

Example Question #762 : Geometry

All ISEE Lower Level Quantitative Resources

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