Whole Numbers - ISEE Middle Level Quantitative Reasoning

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Question

It takes Molly $3\textup{ minutes}$ to get dressed in the morning. It takes her older sister, Emily, times as long. How long does it take Emily to get dressed?

Answer

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

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

$3\times3=t$

Think: minutes times would be how many minutes?

$3\times3=9$

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Question

It takes Tim 5 minutes to get dressed in the morning. It takes his older sister, Lisa, 4 times as long. How long does it take Lisa to get dressed?

Answer

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

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

$5\times4=t$

Think: minutes times would be how many minutes?

$5\times4=20$

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Question

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?

Answer

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?

$4\times4=16$

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Question

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?

Answer

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?

$6\times3=18$

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Question

It takes Nancy $10\textup{ minutes}$ to get dressed in the morning. It takes her older sister, Jessica, times as long. How long does it take Jessica to get dressed?

Answer

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

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

$10\times6=t$

Think: minutes times would be how many minutes?

$10\times6=60$

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Question

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?

Answer

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?

$8\times6=48$

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Question

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

Answer

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

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

$5\times6=t$

Think: minutes times would be how many minutes?

$5\times6=35$

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Question

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?

Answer

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?

$7\times6=42$

Compare your answer with the correct one above

Question

It takes David $4\textup{ minutes}$ to get dressed in the morning. It takes her older sister, Melissa, times as long. How long does it take Melissa to get dressed?

Answer

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

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

$4\times6=t$

Think: minutes times would be how many minutes?

$4\times6=24$

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Question

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

Answer

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

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

$7\times8=t$

Think: minutes times would be how many minutes?

$7\times8=56$

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Question

It takes Tracy $5\textup { minutes}$ to get dressed in the morning. It takes her older sister, Angie, times as long. How long does it take Angie to get dressed?

Answer

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

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

$5\times8=t$

Think: minutes times would be how many minutes?

$5\times8=40$

Compare your answer with the correct one above

Question

It takes Megan $3\textup { minutes}$ to get dressed in the morning. It takes her older sister, Stephanie, times as long. How long does it take Stephanie to get dressed?

Answer

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

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

$3\times8=t$

Think: minutes times would be how many minutes?

$3\times8=24$

Compare your answer with the correct one above

Question

Solve:

$\frac{\begin{array}[b]{r}10\ \times\ 2\end{array}}{\space }$

Answer

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $10\times 2$ ; 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:

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

$\frac{\begin{array}[b]{r}1{\color{Red} 0}\ \times\ {\color{Red} 2}\end{array}}{\ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}0\ \times\ {\color{Red} 2}\end{array}}{\ \ \ 20}$

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Question

Solve:

$\frac{\begin{array}[b]{r}10\ \times\ 3\end{array}}{\space }$

Answer

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $10\times 3$ ; 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:

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

$\frac{\begin{array}[b]{r}1{\color{Red} 0}\ \times\ {\color{Red} 3}\end{array}}{\ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}0\ \times\ {\color{Red} 3}\end{array}}{\ \ \ 30}$

Compare your answer with the correct one above

Question

Solve:

$\frac{\begin{array}[b]{r}10\ \times\ 4\end{array}}{\space }$

Answer

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $10\times 4$ ; 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:

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

$\frac{\begin{array}[b]{r}1{\color{Red} 0}\ \times\ {\color{Red} 4}\end{array}}{\ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}0\ \times\ {\color{Red} 4}\end{array}}{\ \ \ 40}$

Compare your answer with the correct one above

Question

Solve:

$\frac{\begin{array}[b]{r}11\ \times\ 5\end{array}}{\space }$

Answer

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $11\times 5$ ; 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:

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

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

Next, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}1\ \times\ {\color{Red} 5}\end{array}}{\ \ \ 55}$

Compare your answer with the correct one above

Question

Solve the following:

$\frac{\begin{array}[b]{r}11\ \times\ 6\end{array}}{\space }$

Answer

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $11\times 6$ ; 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:

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

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

Next, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}1\ \times\ {\color{Red} 6}\end{array}}{\ \ \ 66}$

Compare your answer with the correct one above

Question

Solve:

$\frac{\begin{array}[b]{r}11\ \times\ 4\end{array}}{\space }$

Answer

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $11\times 4$ ; 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:

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

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

Next, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}1\ \times\ {\color{Red} 4}\end{array}}{\ \ \ 44}$

Compare your answer with the correct one above

Question

Solve:

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

Answer

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:

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

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

Compare your answer with the correct one above

Question

Solve:

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

Answer

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:

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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