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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1821 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is 75% of 300?

Possible Answers:

190

225

235

185

215

Correct answer:

225

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number. So, we get

$75\% \cdot 300$

$\frac{75}{100} \cdot 300$

$\frac{75}{100} \cdot \frac{300}{1}$

The zeros will cancel.

$\frac{75}{1} \cdot \frac{3}{1}$

$\frac{75 \cdot 3}{1 \cdot 1}$

$\frac{225}{1}$

225

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Example Question #1821 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is 90% of 310?

Possible Answers:

284

280

279

273

269

Correct answer:

279

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number. So, we get

$90\% \cdot 310$

$\frac{90}{100} \cdot 310$

$\frac{90}{100} \cdot \frac{310}{1}$

Now, the zeros can cancel out. We get

$\frac{9}{10} \cdot \frac{310}{1}$

$\frac{9}{1} \cdot \frac{31}{1}$

$\frac{9 \cdot 31}{1 \cdot 1}$

$\frac{279}{1}$

279

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Example Question #1821 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is sixty percent of 50?

Possible Answers:

Correct answer:

Explanation:

Rewrite sixty percent as a fraction.

$60\% = \frac{60}{100} = \frac{3}{5}$

Multiply the fraction by the integer.

$\frac{3}{5}\cdot 50 = 30$

The answer is:

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Example Question #262 : Percentage

If Jim, Mike, and Chris share an investment, what percentage does Chris have if Mike and Jim each have $\%$ ?

Possible Answers:

$\%$

100 $\%$

$\%$

Correct answer:

$\%$

Explanation:

All parts of a whole must equal 100 $\%$ and to find one part, you must subtract the other known parts.

To find Chris's portion, you do 100-35-35=30 $\%$ .

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Example Question #1822 : Isee Middle Level (Grades 7 8) Mathematics Achievement

What is the sale price of a television if it is on sale for % off the original price of $\$175.00?$

Possible Answers:

$\$50.00$

$\$125.00$

$\$75.00$

$\$122.50$

$\$52.50$

Correct answer:

$\$52.50$

Explanation:

First, multiply:

$175.00\ast .70=122.50$

Then subtract that amount from the original price:

175.00-122.50=52.50

Answer: The sale price is $\$52.50$ .

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Example Question #1 : How To Find The Perimeter Of A Triangle

A triangle has sides feet, feet, and feet. Calculate its perimeter.

Possible Answers:

$100 \;ft$

$50 \;ft$

$240 \;ft$

$25 \;ft$

$360 \;ft$

Correct answer:

$50 \;ft$

Explanation:

The perimeter of any figure is the sum of the lengths of the sides: $12 + 18 + 20 = 50 \;ft$ .

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Example Question #1 : Triangles

A right triangle with hypotenuse 65 has one leg of length 60. What is its perimeter?

Possible Answers:

150

325

125

185

300

Correct answer:

150

Explanation:

By the Pythagorean Theorem, if and are the legs of a right triangle and is its hypotenuse, then

$a^{2} + b^{2} = c^{2}$ .

Set b = 60, c= 65 and solve for :

$a^{2} + 60^{2} = 65^{2}$

$a^{2} + 3,600 = 4,225$

$a^{2} + 3,600 -3,600 = 4,225 -3,600$

$a^{2} = 625$

$\sqrt{a^{2}} =\sqrt{ 625}$

a = 25

The perimeter of the triangle - the sum of the sidelengths - is

P = 25 + 60 + 65 = 150 .

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Example Question #1 : How To Find Perimeter Of A Triangle

What is the perimeter of an equilateral triangle with a side length ?

Possible Answers:

Correct answer:

Explanation:

The perimeter is equal to the sum of the length of the sides. An equilateral triangle has three sides with equal lengths.

P=4+4+4=12

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Example Question #255 : Ssat Middle Level Quantitative (Math)

Find the perimeter of a triangle with sides 8cm , 9cm , and 11cm .

Possible Answers:

16cm

24cm

30cm

19cm

28cm

Correct answer:

28cm

Explanation:

Perimeter involves adding up all of the sides of the shapes; in this case, it's a triangle. Perimeter equals 9+8+11 . Therefore, the answer is 28cm .

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Example Question #1 : Geometry

A right triangle has legs feet and feet long. What is its perimeter, in inches?

Possible Answers:

$252 \textrm{ in}$

$864 \textrm{ in}$

$432 \textrm{ in}$

$216 \textrm{ in}$

$504 \textrm{ in}$

Correct answer:

$432 \textrm{ in}$

Explanation:

The length of the hypotenuse of the triangle can be found using the Pythagorean Theorem. Substitute a = 9,b= 12 :

$c = \sqrt{a ^{2} + b^{2} } =\sqrt{9 ^{2} +12^{2} } = \sqrt{81+144} = \sqrt{225} = 15$ feet

Its perimeter is P = 9 + 12 + 15 = 36 feet. Multiply by 12 to get the perimeter in inches:

$36 \times 12 = 432$ inches

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #1821 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1821 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1821 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #262 : Percentage

Example Question #1822 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1 : How To Find The Perimeter Of A Triangle

Example Question #1 : Triangles

Example Question #1 : How To Find Perimeter Of A Triangle

Example Question #255 : Ssat Middle Level Quantitative (Math)

Example Question #1 : Geometry

All ISEE Middle Level Math Resources

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