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ISEE Lower Level Quantitative : ISEE Lower Level (grades 5-6) Quantitative Reasoning

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 #155 : Ratio And Proportion

How many yards $\displaystyle yards$ are in $180\ inches?$ $\displaystyle 180\ inches?$

Possible Answers:

$\displaystyle 6$

$\displaystyle 7$

$\displaystyle 4$

$\displaystyle 3$

$\displaystyle 5$

Correct answer:

$\displaystyle 5$

Explanation:

To solve this problem we can make proportions.

We know that $1\ yard=36\ inches$ $\displaystyle 1\ yard=36\ inches$, and we can use $\displaystyle x$ as our unknown.

$\frac{1\ yard}{36\ inches}=\frac{x\ yards}{180\ inches}$ $\displaystyle \frac{1\ yard}{36\ inches}=\frac{x\ yards}{180\ inches}$

Next, we want to cross multiply and divide to isolate the $\displaystyle x$ on one side.

$36\ inches\times x\ yards= 1\ yard \times 180\ inches$ $\displaystyle 36\ inches\times x\ yards= 1\ yard \times 180\ inches$

$5\ yards= \frac{1\ yard \times 180\ inches}{36\ inches}$ $\displaystyle 5\ yards= \frac{1\ yard \times 180\ inches}{36\ inches}$

The $\yards$ $\displaystyle \yards$ $\ inches$ $\displaystyle \ inches$ will cancel and we are left with $5\ yards$ $\displaystyle 5\ yards$

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Example Question #156 : Ratio And Proportion

How many feet $\displaystyle feet$ are in $108\ inches?$ $\displaystyle 108\ inches?$

Possible Answers:

$\displaystyle 10$

$\displaystyle 11$

$\displaystyle 12$

$\displaystyle 9$

$\displaystyle 8$

Correct answer:

$\displaystyle 9$

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ foot}{12\ inches}=\frac{x\ feet}{108\ inches}$ $\displaystyle \frac{1\ foot}{12\ inches}=\frac{x\ feet}{108\ inches}$

Next, we want to cross multiply and divide to isolate the $\displaystyle x$ on one side.

$12\ inches\times x\ feet= 1\ foot \times 108\ inches$ $\displaystyle 12\ inches\times x\ feet= 1\ foot \times 108\ inches$

$9\ feet= \frac{1\ foot \times 108\ inches}{12\ inches}$ $\displaystyle 9\ feet= \frac{1\ foot \times 108\ inches}{12\ inches}$

The $\yards$ $\displaystyle \yards$ $\ inches$ $\displaystyle \ inches$ will cancel and we are left with $9\ feet$ $\displaystyle 9\ feet$

Report an Error

Example Question #1514 : Common Core Math: Grade 5

How many inches $\displaystyle inches$ are in $7\ yards?$ $\displaystyle 7\ yards?$

Possible Answers:

252 $\displaystyle 252$

240 $\displaystyle 240$

255 $\displaystyle 255$

242 $\displaystyle 242$

290 $\displaystyle 290$

Correct answer:

252 $\displaystyle 252$

Explanation:

To solve this problem we can make proportions.

We know that $1\ yard=36\ inches$ $\displaystyle 1\ yard=36\ inches$, and we can use $\displaystyle x$ as our unknown.

$\frac{1\ yard}{36\ inches}=\frac{7\ yards}{x\ inches}$ $\displaystyle \frac{1\ yard}{36\ inches}=\frac{7\ yards}{x\ inches}$

Next, we want to cross multiply and divide to isolate the $\displaystyle x$ on one side.

$36\ inches\times 7\ yards= 1\ yard \times x\ inches$ $\displaystyle 36\ inches\times 7\ yards= 1\ yard \times x\ inches$

$\frac{36\ inches\times 7\ yards}{1\ yard}= 252\ inches$ $\displaystyle \frac{36\ inches\times 7\ yards}{1\ yard}= 252\ inches$

The $\yards$ $\displaystyle \yards$ $\ yards$ $\displaystyle \ yards$ will cancel and we are left with $252\ inches$ $\displaystyle 252\ inches$

Report an Error

Example Question #821 : Ssat Middle Level Quantitative (Math)

How many inches $\displaystyle inches$ are in $2\ yards?$ $\displaystyle 2\ yards?$

Possible Answers:

$\displaystyle 87$

$\displaystyle 78$

$\displaystyle 68$

$\displaystyle 92$

$\displaystyle 72$

Correct answer:

$\displaystyle 72$

Explanation:

To solve this problem we can make proportions.

We know that $1\ yard=36\ inches$ $\displaystyle 1\ yard=36\ inches$, and we can use $\displaystyle x$ as our unknown.

$\frac{1\ yard}{36\ inches}=\frac{2\ yards}{x\ inches}$ $\displaystyle \frac{1\ yard}{36\ inches}=\frac{2\ yards}{x\ inches}$

Next, we want to cross multiply and divide to isolate the $\displaystyle x$ on one side.

$36\ inches\times 2\ yards= 1\ yard \times x\ inches$ $\displaystyle 36\ inches\times 2\ yards= 1\ yard \times x\ inches$

$\frac{36\ inches\times 2\ yards}{1\ yard}= 72\ inches$ $\displaystyle \frac{36\ inches\times 2\ yards}{1\ yard}= 72\ inches$

The $\yards$ $\displaystyle \yards$ $\ yards$ $\displaystyle \ yards$ will cancel and we are left with $72\ inches$ $\displaystyle 72\ inches$

Report an Error

Example Question #11 : Measurement & Data

How many yards $\displaystyle yards$ are in $144\ inches?$ $\displaystyle 144\ inches?$

Possible Answers:

$\displaystyle 8$

$\displaystyle 4$

$\displaystyle 6$

$\displaystyle 7$

$\displaystyle 5$

Correct answer:

$\displaystyle 4$

Explanation:

To solve this problem we can make proportions.

We know that $1\ yard=36\ inches$ $\displaystyle 1\ yard=36\ inches$, and we can use $\displaystyle x$ as our unknown.

$\frac{1\ yard}{36\ inches}=\frac{x\ yards}{144\ inches}$ $\displaystyle \frac{1\ yard}{36\ inches}=\frac{x\ yards}{144\ inches}$

Next, we want to cross multiply and divide to isolate the $\displaystyle x$ on one side.

$36\ inches\times x\ yards= 1\ yard \times 144\ inches$ $\displaystyle 36\ inches\times x\ yards= 1\ yard \times 144\ inches$

$4\ yards= \frac{1\ yard \times 144\ inches}{36\ inches}$ $\displaystyle 4\ yards= \frac{1\ yard \times 144\ inches}{36\ inches}$

The $\yards$ $\displaystyle \yards$ $\ inches$ $\displaystyle \ inches$ will cancel and we are left with $4\ yards$ $\displaystyle 4\ yards$

Report an Error

Example Question #822 : Ssat Middle Level Quantitative (Math)

How many feet $\displaystyle feet$ are in $168\ inches?$ $\displaystyle 168\ inches?$

Possible Answers:

$\displaystyle 13$

$\displaystyle 11$

$\displaystyle 15$

$\displaystyle 14$

$\displaystyle 12$

Correct answer:

$\displaystyle 14$

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ foot}{12\ inches}=\frac{x\ feet}{168\ inches}$ $\displaystyle \frac{1\ foot}{12\ inches}=\frac{x\ feet}{168\ inches}$

Next, we want to cross multiply and divide to isolate the $\displaystyle x$ on one side.

$12\ inches\times x\ feet= 1\ foot \times 168\ inches$ $\displaystyle 12\ inches\times x\ feet= 1\ foot \times 168\ inches$

$14\ feet= \frac{1\ foot \times 168\ inches}{12\ inches}$ $\displaystyle 14\ feet= \frac{1\ foot \times 168\ inches}{12\ inches}$

The $\yards$ $\displaystyle \yards$ $\ inches$ $\displaystyle \ inches$ will cancel and we are left with $14\ feet$ $\displaystyle 14\ feet$

Report an Error

Example Question #13 : Measurement & Data

How many feet $\displaystyle feet$ are in $36\ inches?$ $\displaystyle 36\ inches?$

Possible Answers:

$\displaystyle 5$

$\displaystyle 7$

$\displaystyle 3$

$\displaystyle 4$

$\displaystyle 6$

Correct answer:

$\displaystyle 3$

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ foot}{12\ inches}=\frac{x\ feet}{36\ inches}$ $\displaystyle \frac{1\ foot}{12\ inches}=\frac{x\ feet}{36\ inches}$

Next, we want to cross multiply and divide to isolate the $\displaystyle x$ on one side.

$12\ inches\times x\ feet= 1\ foot \times 36\ inches$ $\displaystyle 12\ inches\times x\ feet= 1\ foot \times 36\ inches$

$3\ feet= \frac{1\ foot \times 144\ inches}{36\ inches}$ $\displaystyle 3\ feet= \frac{1\ foot \times 144\ inches}{36\ inches}$

The $\yards$ $\displaystyle \yards$ $\ inches$ $\displaystyle \ inches$ will cancel and we are left with $3\ feet$ $\displaystyle 3\ feet$

Report an Error

Example Question #14 : Measurement & Data

How many inches $\displaystyle inches$

Possible Answers:

174 $\displaystyle 174$

234 $\displaystyle 234$

192 $\displaystyle 192$

202 $\displaystyle 202$

182 $\displaystyle 182$

Correct answer:

192 $\displaystyle 192$

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ foot}{12\ inches}=\frac{16\ feet}{x\ inches}$ $\displaystyle \frac{1\ foot}{12\ inches}=\frac{16\ feet}{x\ inches}$

Next, we want to cross multiply and divide to isolate the $\displaystyle x$ on one side.

$12\ inches\times 16\ feet= 1\ foot \times x\ inches$ $\displaystyle 12\ inches\times 16\ feet= 1\ foot \times x\ inches$

$\frac{12\ inches\times 16\ feet}{1\ foot}= 192\ inches$ $\displaystyle \frac{12\ inches\times 16\ feet}{1\ foot}= 192\ inches$

The $\yards$ $\displaystyle \yards$ $\ feet$ $\displaystyle \ feet$ will cancel and we are left with $192\ inches$ $\displaystyle 192\ inches$

Report an Error

Example Question #1521 : Common Core Math: Grade 5

How many inches $\displaystyle inches$ are in $15\ feet?$ $\displaystyle 15\ feet?$

Possible Answers:

140 $\displaystyle 140$

180 $\displaystyle 180$

170 $\displaystyle 170$

160 $\displaystyle 160$

150 $\displaystyle 150$

Correct answer:

180 $\displaystyle 180$

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ foot}{12\ inches}=\frac{15\ feet}{x\ inches}$ $\displaystyle \frac{1\ foot}{12\ inches}=\frac{15\ feet}{x\ inches}$

Next, we want to cross multiply and divide to isolate the $\displaystyle x$ on one side.

$12\ inches\times 15\ feet= 1\ foot \times x\ inches$ $\displaystyle 12\ inches\times 15\ feet= 1\ foot \times x\ inches$

$\frac{12\ inches\times 15\ feet}{1\ foot}= 180\ inches$ $\displaystyle \frac{12\ inches\times 15\ feet}{1\ foot}= 180\ inches$

The $\yards$ $\displaystyle \yards$ $\ feet$ $\displaystyle \ feet$ will cancel and we are left with $180\ inches$ $\displaystyle 180\ inches$

Report an Error

Example Question #823 : Ssat Middle Level Quantitative (Math)

How many yards $\displaystyle yards$ are in $324\ inches?$ $\displaystyle 324\ inches?$

Possible Answers:

$\displaystyle 8$

$\displaystyle 6$

$\displaystyle 7$

$\displaystyle 10$

$\displaystyle 9$

Correct answer:

$\displaystyle 9$

Explanation:

To solve this problem we can make proportions.

We know that $1\ yard=36\ inches$ $\displaystyle 1\ yard=36\ inches$, and we can use $\displaystyle x$ as our unknown.

$\frac{1\ yard}{36\ inches}=\frac{x\ yards}{324\ inches}$ $\displaystyle \frac{1\ yard}{36\ inches}=\frac{x\ yards}{324\ inches}$

Next, we want to cross multiply and divide to isolate the $\displaystyle x$ on one side.

$36\ inches\times x\ yards= 1\ yard \times 324\ inches$ $\displaystyle 36\ inches\times x\ yards= 1\ yard \times 324\ inches$

$9\ yards= \frac{1\ yard \times 324\ inches}{36\ inches}$ $\displaystyle 9\ yards= \frac{1\ yard \times 324\ inches}{36\ inches}$

The $\yards$ $\displaystyle \yards$ $\ inches$ $\displaystyle \ inches$ will cancel and we are left with $9\ yards$ $\displaystyle 9\ yards$

Report an Error

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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 : ISEE Lower Level (grades 5-6) Quantitative Reasoning

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #155 : Ratio And Proportion

Example Question #156 : Ratio And Proportion

Example Question #1514 : Common Core Math: Grade 5

Example Question #821 : Ssat Middle Level Quantitative (Math)

Example Question #11 : Measurement & Data

Example Question #822 : Ssat Middle Level Quantitative (Math)

Example Question #13 : Measurement & Data

Example Question #14 : Measurement & Data

Example Question #1521 : Common Core Math: Grade 5

Example Question #823 : Ssat Middle Level Quantitative (Math)

All ISEE Lower Level Quantitative Resources

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