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ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning

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

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

$\frac{\begin{array}[b]{r}12\\ \times\ 4\end{array}}{\space }$

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $12\times 4$ ; therefore, the rectangular array should have squares across the top row and squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.36.48 pm

We can count the squares to find our answer. The correct answer is is

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}1{\color{Red} 2}\\ \times\ {\color{Red} 4}\end{array}}{\ \ \ \ 8}$

Next, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}2\\ \times\ {\color{Red} 4}\end{array}}{\ \ \ 48}$

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Example Question #4 : Multiply Multi Digit Numbers: Ccss.Math.Content.4.Nbt.B.5

Solve:

$\frac{\begin{array}[b]{r}12\\ \times\ 5\end{array}}{\space }$

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $12\times 5$ ; therefore, the rectangular array should have squares across the top row and squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.45.25 pm

We can count the squares to find our answer. The correct answer is is

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}^11{\color{Red} 2}\\ \times\ {\color{Red} 5}\end{array}}{\ \ \ \ 0}$

Because the product is greater than , we carry the and add it to the next product.

Next, we multiply and and then add the we carried.

$\frac{\begin{array}[b]{r}^1{\color{Red} 1}2\\ \times\ {\color{Red} 5}\end{array}}{\ \ \ 60}$

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Example Question #1 : Multiply Multi Digit Numbers: Ccss.Math.Content.4.Nbt.B.5

Solve:

$\frac{\begin{array}[b]{r}12\\ \times\ 6\end{array}}{\space }$

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $12\times 6$ ; therefore, the rectangular array should have squares across the top row and squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.53.41 pm

We can count the squares to find our answer. The correct answer is is

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}^11{\color{Red} 2}\\ \times\ {\color{Red} 6}\end{array}}{\ \ \ \ 2}$

Because the product is greater than , we carry the and add it to the next product.

Next, we multiply and and then add the we carried.

$\frac{\begin{array}[b]{r}^1{\color{Red} 1}2\\ \times\ {\color{Red} 6}\end{array}}{\ \ \ 72}$

Report an Error

Example Question #5 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

$\frac{\begin{array}[b]{r}13\\ \times\ 6\end{array}}{\space }$

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $13\times 6$ ; therefore, the rectangular array should have squares across the top row and squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 1.11.14 pm

We can count the squares to find our answer. The correct answer is is

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}^11{\color{Red} 3}\\ \times\ {\color{Red} 6}\end{array}}{\ \ \ \ 8}$

Because the product is greater than , we carry the and add it to the next product.

Next, we multiply and and then add the we carried.

$\frac{\begin{array}[b]{r}^1{\color{Red} 1}3\\ \times\ {\color{Red} 6}\end{array}}{\ \ \ 78}$

Report an Error

Example Question #6 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

$\frac{\begin{array}[b]{r}13\\ \times\ 4\end{array}}{\space }$

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $13\times 4$ ; therefore, the rectangular array should have squares across the top row and squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 2.05.45 pm

We can count the squares to find our answer. The correct answer is is

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}^11{\color{Red} 3}\\ \times\ {\color{Red} 4}\end{array}}{\ \ \ \ 2}$

Because the product is greater than , we carry the and add it to the next product.

Next, we multiply and and then add the we carried.

$\frac{\begin{array}[b]{r}^1{\color{Red} 1}3\\ \times\ {\color{Red} 4}\end{array}}{\ \ \ 52}$

Report an Error

Example Question #11 : Whole Numbers

Solve:

$\frac{\begin{array}[b]{r}13\\ \times\ 2\end{array}}{\space }$

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $13\times 2$ ; therefore, the rectangular array should have squares across the top row and squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 2.15.20 pm

We can count the squares to find our answer. The correct answer is is

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}1{\color{Red} 3}\\ \times\ {\color{Red} 2}\end{array}}{\ \ \ \ 6}$

Next, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}3\\ \times\ {\color{Red} 2}\end{array}}{\ \ \ 26}$

Report an Error

Example Question #971 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

It takes Hannah minutes to get dressed in the morning. It takes her older sister, Sara, times as long. How long does it take Sara to get dressed?

Possible Answers:

$15\ minutes$

$16\ minutes$

$19\ minutes$

$18\ minutes$

$17\ minutes$

Correct answer:

$16\ minutes$

Explanation:

The phrase " times as long" tells you that we are going to multiply by .

Let's have represent how long it takes Sara to get dressed.

$4\times4=t$

Think: minutes 4 times would be how many minutes?

Screen shot 2015 10 06 at 9.26.54 am

$4\times4=16$

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Example Question #972 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

It takes Charlie minutes to get dressed in the morning. It takes her older sister, Alison, times as long. How long does it take Alison to get dressed?

Possible Answers:

$16\ minutes$

$18\ minutes$

$15\ minutes$

$17\ minutes$

$19\ minutes$

Correct answer:

$18\ minutes$

Explanation:

The phrase " times as long" tells you that we are going to multiply by .

Let's have represent how long it takes Alison to get dressed.

$6\times3=t$

Think: minutes times would be how many minutes?

Screen shot 2015 10 06 at 9.30.15 am

$6\times3=18$

Report an Error

Example Question #3 : Multiply Or Divide To Solve Word Problems Involving Multiplicative Comparison: Ccss.Math.Content.4.Oa.A.2

It takes Mark minutes to get dressed in the morning. It takes her older sister, Shelly, times as long. How long does it take Shelly to get dressed?

Possible Answers:

$42\ minutes$

$43\ minutes$

$46\ minutes$

$40\ minutes$

$48\ minutes$

Correct answer:

$48\ minutes$

Explanation:

The phrase " times as long" tells you that we are going to multiply by .

Let's have represent how long it takes Shelly to get dressed.

$8\times6=t$

Think: minutes times would be how many minutes?

Screen shot 2015 10 06 at 10.34.16 am

$8\times6=48$

Report an Error

Example Question #312 : Numbers And Operations

It takes Cassie minutes to get dressed in the morning. It takes her older sister, Linden, times as long. How long does it take Linden to get dressed?

Possible Answers:

$45\ minutes$

$41\ minutes$

$44\ minutes$

$42\ minutes$

$43\ minutes$

Correct answer:

$42\ minutes$

Explanation:

The phrase " times as long" tells you that we are going to multiply by .

Let's have represent how long it takes Linden to get dressed.

$7\times6=42$

Think: minutes times would be how many minutes?

Screen shot 2015 10 06 at 10.44.40 am

$7\times6=42$

Report an Error

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning

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

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #3 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Example Question #4 : Multiply Multi Digit Numbers: Ccss.Math.Content.4.Nbt.B.5

Example Question #1 : Multiply Multi Digit Numbers: Ccss.Math.Content.4.Nbt.B.5

Example Question #5 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Example Question #6 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Example Question #11 : Whole Numbers

Example Question #971 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #972 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #3 : Multiply Or Divide To Solve Word Problems Involving Multiplicative Comparison: Ccss.Math.Content.4.Oa.A.2

Example Question #312 : Numbers And Operations

All ISEE Middle Level Quantitative Resources

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