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ISEE Lower Level Quantitative : Numbers and Operations

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 #2051 : Numbers And Operations

Solve:

$\small \frac{3}{4}\div\frac{2}{3}$

Possible Answers:

$1\frac{1}{}8$

$\small \frac{8}{7}$

$\small \frac{8}{9}$

$\small \frac{7}{8}$

$\small \frac{5}{6}$

Correct answer:

$1\frac{1}{}8$

Explanation:

$\small \frac{3}{4}\div\frac{2}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{3}{4}\times\frac{3}{2}=\frac{9}{8}$

$\frac{9}{8}=1\frac{1}{8}$ because can go into one time with left over.

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Example Question #2052 : Numbers And Operations

Solve:

$\small \frac{5}{8}\div\frac{1}{2}$

Possible Answers:

$\small \frac{8}{10}$

$\small \frac{3}{4}$

$\small \frac{4}{3}$

$\small \frac{5}{11}$

$1\frac{1}{4}$

Correct answer:

$1\frac{1}{4}$

Explanation:

$\small \frac{5}{8}\div\frac{1}{2}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{5}{8}\times\frac{2}{1}=\frac{10}{8}$

$\frac{10}{8}=1\frac{2}{8}=1\frac{1}{4}$ because can go into one time with left over.

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

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Example Question #2053 : Numbers And Operations

Solve:

$\small \frac{3}{12}\div\frac{1}{3}$

Possible Answers:

$\frac{3}{4}$

$\small \frac{36}{3}$

$\small \frac{3}{36}$

$\small \frac{12}9{}$

$\small \frac{1}{3}$

Correct answer:

$\frac{3}{4}$

Explanation:

$\small \frac{3}{12}\div\frac{1}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \small \frac{3}{12}\times\frac{3}{1}=\frac{9}{12}$

$\frac{9}{12}$ can be reduced because both and are divisible by

$\frac{9}{12}\div\frac{3}{3}=\frac{3}{4}$

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Example Question #2054 : Numbers And Operations

Solve:

$\small \frac{7}{8}\div\frac{1}{4}$

Possible Answers:

$\small \frac{32}{7}$

$\small \frac{8}{28}$

$\small \frac{7}{32}$

$\small \frac{9}{15}$

$3\frac{1}{2}$

Correct answer:

$3\frac{1}{2}$

Explanation:

$\small \frac{7}{8}\div\frac{1}{4}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{7}{8}\times\frac{4}{1}=\frac{28}{8}$

$\frac{28}{8}=3\frac{4}{8}=3\frac{1}{2}$ because can go into three times, with left over.

$\frac{4}{8}$ can be reduced because both and are divisible by .

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

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Example Question #1 : Measurement & Data

How many feet are in $72\ inches?$

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can make proportions.

We know that $1\ foot=12\ inches$ , and we can use has our unknown.

$\frac{1\ foot}{12\ inches}=\frac{x\ feet}{72\ inches}$

Next, we want to cross multiply and divide to isolate the on one side.

$12\ inches\times x\ feet= 1\ foot \times 72\ inches$

$6\ feet= \frac{1\ foot \times 72\ inches}{12\ inches}$

The $\yards$ $\ inches$ will cancel and we are left with $6\ feet$

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Example Question #132 : Ratio And Proportion

How many meters are in $6\ centimeters?$

Possible Answers:

600

Correct answer:

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{6\ centimeters}{x\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times x\ meters=.01\ meter\times 6\ centimeters$

$x\ meters=\frac{.01\ meter\times 6\ centimeters}{1\ centimeter}$

The centimeters will cancel and we are left with $.06\ meters$

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Example Question #1 : Measurement

How many centimeters are in $3\ meters?$

Possible Answers:

3,000

300

Correct answer:

300

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{3\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 3\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 3\ meters}{.01\ meter}= x\ centimeters$

The meters will cancel and we are left with $300\ centimeters$

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Example Question #2 : Measurement & Data

How many centimeters are in $7\ meters?$

Possible Answers:

700

7,000

Correct answer:

700

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{7\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 7\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 7\ meters}{.01\ meter}= x\ centimeters$

The meters will cancel and we are left with $700\ centimeters$

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Example Question #2 : Measurement

How many centimeters are in $9\ meters?$

Possible Answers:

900

9,000

Correct answer:

900

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{9\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 9\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 9\ meters}{.01\ meter}= x\ centimeters$

The meters will cancel and we are left with $900\ centimeters$

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Example Question #3 : Measurement & Data

How many centimeters are in $17\ meters?$

Possible Answers:

1.7

17,000

170

1,700

Correct answer:

1,700

Explanation:

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{17\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 17\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 17\ meters}{.01\ meter}= x\ centimeters$

The meters will cancel and we are left with $1,700\ centimeters$

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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 : Numbers and Operations

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #2051 : Numbers And Operations

Example Question #2052 : Numbers And Operations

Example Question #2053 : Numbers And Operations

Example Question #2054 : Numbers And Operations

Example Question #1 : Measurement & Data

Example Question #132 : Ratio And Proportion

Example Question #1 : Measurement

Example Question #2 : Measurement & Data

Example Question #2 : Measurement

Example Question #3 : Measurement & Data

All ISEE Lower Level Quantitative Resources

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