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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 #185 : How To Find The Decimal Equivalent Of A Fraction

There are 4 children of the following heights:

$48\textup{ inches}$

$4.5\textup{ feet}$

$4\textup{ feet }6\textup{ inches}$

$1.5\textup{ yards}$

How tall is the child who is not the same height as the other children?

Possible Answers:

$4.5\ \textup{feet}$

$1.5\ \textup{yards}$

$4\ \textup{feet}\ 6\textup{ inches}$

$48\ \textup{inches}$

Correct answer:

$48\ \textup{inches}$

Explanation:

Given that 4.5 feet; 4 feet, six inches, and 1.5 yards are all the equivalent of 4 and-a-half feet, the child who is 48 inches is only 4 feet tall. Therefore, he is of the different height.

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Example Question #186 : How To Find The Decimal Equivalent Of A Fraction

Turn the following fraction into a decimal.

$\frac{3}{20}$

Possible Answers:

0.15

0.3

0.2

0.03

0.05

Correct answer:

0.15

Explanation:

To make a fraction into a decimal, you must first make the denominator 100 .

20*5=100 so we must also multiple the numerator by .

This gives us the fraction $\frac{15}{100}$ .

Then all you have to do is take the numerator and place a decimal in front of it which gives you 0.15 .

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Example Question #2 : Fractions

Evaluate:

$-3.6 \cdot (-0.07)$

Possible Answers:

- 0.252

0.252

-0.0252

0.0252

2.52

Correct answer:

0.252

Explanation:

The product of two negative numbers is the (positive) product of theie absolute values.

$-3.6 \cdot (-0.07) = +(3.6 \cdot 0.07) = 3.6 \cdot 0.07$

There are a total of three digits to the right of the two decimal points. Therefore, the product can be calculated by multiplying 36 by 7, then placing the decimal point so that there are three digits at right.

$36 \cdot 7 = 252 \Rightarrow 3.6 \cdot 0.07 = 0.252$

This is the correct choice.

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Example Question #1221 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve:

$\frac{2}{5}\times\frac{7}{8}=$

Possible Answers:

$\frac{7}{20}$

$\frac{9}{13}$

$\frac{16}{35}$

$\frac{7}{4}$

Correct answer:

$\frac{7}{20}$

Explanation:

$\frac{2}{5}\times\frac{7}{8}=\frac{2\times7}{5\times8}=\frac{14}{40}=\frac{7}{20}$

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Example Question #3 : Fractions

Multiply:

$4.3 \times 3.7$

Possible Answers:

1.591

15.91

1.3201

14.911

13.201

Correct answer:

15.91

Explanation:

First, multiply the numbers, ignoring the decimal points:

$43 \times 37 = 1591$

Since the two factors in the original product have two digits to the right of the decimal points between them, position the decimal point in the product such that two digits are at its right. The result, therefore, is

15.91

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Example Question #1222 : Isee Middle Level (Grades 7 8) Mathematics Achievement

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

Possible Answers:

$\frac{4}{25}$

$\frac{4}{10}$

$\frac{2}{5}$

Correct answer:

$\frac{4}{25}$

Explanation:

Multiply the numerators and then denominators:

$\frac{2}{5}* \frac{2}{5}=\frac{4}{25}$

Answer:

$\frac{4}{25}$

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Example Question #1223 : Isee Middle Level (Grades 7 8) Mathematics Achievement

$\frac{4}{5}*\frac{2}{3}=$

Possible Answers:

$\frac{8}{15}$

$\frac{6}{8}$

$\frac{6}{15}$

$\frac{8}{8}$

Correct answer:

$\frac{8}{15}$

Explanation:

Multiply the numerators then denominators:

$\frac{4}{5}* \frac{2}{3}=\frac{8}{15}$

Answer: $\frac{8}{15}$

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Example Question #1 : How To Multiply Fractions

$\frac{1}{6}* \frac{1}{6}=$

Possible Answers:

$\frac{1}{6}$

$\frac{2}{12}$

$\frac{1}{12}$

$\frac{1}{36}$

Correct answer:

$\frac{1}{36}$

Explanation:

Multiply the numerators and the denominators:

$\frac{1}{6}*\frac{1}{6}=\frac{1}{36}$

Answer: $\frac{1}{36}$

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Example Question #2 : How To Multiply Fractions

What is the simplest form of the result:

$\frac{1}{x^3}\times \frac{3x}{2x^2}\times \frac{4x^4}{3}$

Possible Answers:

$\frac{2}{x}$

Correct answer:

Explanation:

In order to multiply fractions, we can simply multiply straight across:

$\frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}$

So we can write:

$\frac{1}{x^3}\times \frac{3x}{2x^2}\times \frac{4x^4}{3}=\frac{1\times 3x\times 4x^4}{x^3\times 2x^2\times 3}$

$\frac{12x^5}{6x^5}=\frac{12}{6}=2$

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Example Question #3 : How To Multiply Fractions

Simplify

$\frac{3}{5}\times \frac{2}{6}\times \frac{3}{7}$

Possible Answers:

$\frac{3}{35}$

$\frac{1}{12}$

$\frac{4}{35}$

$\frac{24}{35}$

$\frac{6}{35}$

Correct answer:

$\frac{3}{35}$

Explanation:

In order to multiply fractions, we can simply multiply straight across:

$\frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}$

So we can write:

$\frac{3}{5}\times \frac{2}{6}\times \frac{3}{7}=\frac{3\times 2\times 3}{5\times 6\times 7}$

$=\frac{18}{210}$

Divide it by the least common factor (i.e. 6) to simplify:

$\frac{18}{210}=\frac{3}{35}$

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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 #185 : How To Find The Decimal Equivalent Of A Fraction

Example Question #186 : How To Find The Decimal Equivalent Of A Fraction

Example Question #2 : Fractions

Example Question #1221 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #3 : Fractions

Example Question #1222 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1223 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1 : How To Multiply Fractions

Example Question #2 : How To Multiply Fractions

Example Question #3 : How To Multiply Fractions

All ISEE Middle Level Math Resources

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