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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Example Questions

Example Question #972 : Common Core Math: Grade 3

\displaystyle \frac{\begin{array}[b]{r}60\\ \times\ 7\end{array}}{ \ \ \ \space}

Possible Answers:

\displaystyle 450

\displaystyle 420

\displaystyle 430

\displaystyle 410

\displaystyle 440

Correct answer:

\displaystyle 420

Explanation:

To solve this problem, we multiply \displaystyle 7 by the ones position and the tens position. 

\displaystyle 7\times0=0

\displaystyle 7\times6=42

\displaystyle \frac{\begin{array}[b]{r}60\\ \times\ 7\end{array}}{ \ \space420}

Example Question #173 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

\displaystyle \frac{\begin{array}[b]{r}70\\ \times\ 8\end{array}}{ \ \ \ \space}

Possible Answers:

\displaystyle 570

\displaystyle 530

\displaystyle 540

\displaystyle 560

\displaystyle 550

Correct answer:

\displaystyle 560

Explanation:

To solve this problem, we multiply \displaystyle 8 by the ones position and the tens position. 

\displaystyle 8\times0=0

\displaystyle 8\times7=56

\displaystyle \frac{\begin{array}[b]{r}70\\ \times\ 8\end{array}}{ \ \space560}

Example Question #3161 : Ssat Elementary Level Quantitative (Math)

\displaystyle \frac{\begin{array}[b]{r}70\\ \times\ 9\end{array}}{ \ \ \ \space}

Possible Answers:

\displaystyle 670

\displaystyle 660

\displaystyle 640

\displaystyle 650

\displaystyle 630

Correct answer:

\displaystyle 630

Explanation:

To solve this problem, we multiply \displaystyle 9 by the ones position and the tens position. 

\displaystyle 9\times0=0

\displaystyle 9\times7=63

\displaystyle \frac{\begin{array}[b]{r}70\\ \times\ 9\end{array}}{ \ \space630}

Example Question #172 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

\displaystyle \frac{\begin{array}[b]{r}80\\ \times\ 9\end{array}}{ \ \ \ \space}

Possible Answers:

\displaystyle 740

\displaystyle 710

\displaystyle 730

\displaystyle 700

\displaystyle 720

Correct answer:

\displaystyle 720

Explanation:

To solve this problem, we multiply \displaystyle 9 by the ones position and the tens position. 

\displaystyle 9\times0=0

\displaystyle 9\times8=72

\displaystyle \frac{\begin{array}[b]{r}80\\ \times\ 9\end{array}}{ \ \space720}

Example Question #91 : How To Multiply Variables

\displaystyle \frac{\begin{array}[b]{r}10\\ \times\ 1\end{array}}{ \ \ \ \space}

 

Possible Answers:

\displaystyle 40

\displaystyle 30

\displaystyle 20

\displaystyle 10

\displaystyle 50

Correct answer:

\displaystyle 10

Explanation:

To solve this problem, we multiply \displaystyle 1 by the ones position and the tens position. 

\displaystyle 1\times0=0

\displaystyle 1\times1=1

\displaystyle \frac{\begin{array}[b]{r}10\\ \times\ 1\end{array}}{ \ \ \space10}

Example Question #171 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

\displaystyle \frac{\begin{array}[b]{r}40\\ \times\ 2\end{array}}{ \ \ \ \space}

Possible Answers:

\displaystyle 80

\displaystyle 50

\displaystyle 40

\displaystyle 60

\displaystyle 70

Correct answer:

\displaystyle 80

Explanation:

To solve this problem, we multiply \displaystyle 2 by the ones position and the tens position. 

\displaystyle 2\times0=0

\displaystyle 2\times4=8

\displaystyle \frac{\begin{array}[b]{r}40\\ \times\ 2\end{array}}{ \ \ \space80}

Example Question #121 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

\displaystyle \frac{\begin{array}[b]{r}30\\ \times\ 3\end{array}}{ \ \ \ \space}

 

Possible Answers:

\displaystyle 40

\displaystyle 60

\displaystyle 90

\displaystyle 50

\displaystyle 30

Correct answer:

\displaystyle 90

Explanation:

To solve this problem, we multiply \displaystyle 3 by the ones position and the tens position. 

\displaystyle 3\times0=0

\displaystyle 3\times3=9

\displaystyle \frac{\begin{array}[b]{r}30\\ \times\ 3\end{array}}{ \ \ \space90}

Example Question #122 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Solve for \displaystyle t:

\displaystyle 12t = 7t + 45

Possible Answers:

\displaystyle t=8

\displaystyle t=9

\displaystyle t=11

\displaystyle t=10

\displaystyle t=12

Correct answer:

\displaystyle t=9

Explanation:

\displaystyle 12t = 7t + 45

\displaystyle 12t-7t = 7t -7t + 45

\displaystyle (12-7)t = 45

\displaystyle 5t = 45

\displaystyle 5t \div 5 = 45\div 5

\displaystyle t=9

Example Question #123 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

 

 

 

 

Solve the following equation if \displaystyle \small \small x=3:

\displaystyle \small 4x^{2}+3x-14

Possible Answers:

\displaystyle \small 32

\displaystyle \small 30

\displaystyle \small 29

\displaystyle \small 31

\displaystyle \small 33

Correct answer:

\displaystyle \small 31

Explanation:

In order to solve this problem, we must substitute \displaystyle 3 in for \displaystyle \small x.

\displaystyle \small 4(3)^{2}+3(3)-14

Based on the order of operations we know that we must first deal with the exponents, so we look at \displaystyle \small 3^{2}, which is \displaystyle \small 9.

\displaystyle \small 4(9)+3(3)-14

Next we multiply.

\displaystyle \small 4(9)=36

\displaystyle \small 3(3)=9

\displaystyle \small 36+9-14

Finally we add subtract.

\displaystyle \small 36+9=45

\displaystyle \small 45-14=31

 

 

Example Question #124 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Choose the best answer from the four choices given.

If \displaystyle 3z^{3}-2y=17,

then what must \displaystyle 12z^{3}-8y equal?

Possible Answers:

\displaystyle 51

\displaystyle 68

\displaystyle 34

\displaystyle 17

Correct answer:

\displaystyle 68

Explanation:

Notice that \displaystyle 12z^{3}-8y is greater than \displaystyle 3z^{3}-2y by a factor of 4.

\displaystyle 4(3z^{3})=12z^{3} and \displaystyle 4(-2y)=-8y

Thus, \displaystyle 12z^{3}-8y must equal 4 times the other side of the given equation, as well (17).

\displaystyle 4(17)=68

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