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MAP 5th Grade Math : Measurement and Data

Study concepts, example questions & explanations for MAP 5th Grade Math

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Example Questions

Example Question #6 : Map 5th Grade Math

How many feet $\displaystyle feet$ are in $72\ inches?$ $\displaystyle 72\ inches?$

Possible Answers:

$\displaystyle 8$

$\displaystyle 5$

$\displaystyle 6$

$\displaystyle 7$

Correct answer:

$\displaystyle 6$

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 $\displaystyle x$ has our unknown.

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

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

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

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

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

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Example Question #1 : Measurement And Data

What is the volume of the shape below?

Screen shot 2015 07 28 at 3.53.08 pm

Possible Answers:

$\small 186cm^3$ $\displaystyle \small 186cm^3$

$\small 192cm^3$ $\displaystyle \small 192cm^3$

$\small 48cm^2$ $\displaystyle \small 48cm^2$

$\small 32cm^3$ $\displaystyle \small 32cm^3$

Correct answer:

$\small 192cm^3$ $\displaystyle \small 192cm^3$

Explanation:

To solve this problem we need to recall the formula for volume of a rectangular prism. The formula for volume of a rectangular prism is $\small v=l\times w\times h$ $\displaystyle \small v=l\times w\times h$

$\small v=8\times4\times6$ $\displaystyle \small v=8\times4\times6$

$\small v=192cm^3$ $\displaystyle \small v=192cm^3$

Remember, volume is always labeled as units to the third power.

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Example Question #2 : Measurement And Data

How many $\textup{centimeters}$ $\displaystyle \textup{centimeters}$ are in $13\textup { meters?}$ $\displaystyle 13\textup { meters?}$

Possible Answers:

$.0013\textup { centimeters}$ $\displaystyle .0013\textup { centimeters}$

$1.3\textup{ centimeters}$ $\displaystyle 1.3\textup{ centimeters}$

$1\textup,300\textup { centimeters}$ $\displaystyle 1\textup,300\textup { centimeters}$

$130\textup { centimeters}$ $\displaystyle 130\textup { centimeters}$

Correct answer:

$1\textup,300\textup { centimeters}$ $\displaystyle 1\textup,300\textup { centimeters}$

Explanation:

To solve this problem we can make proportions.

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

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{13\ meters}$ $\displaystyle \frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{13\ meters}$

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

$1\ centimeter\times 13\ meters=.01\ meter\times x\ centimeters$ $\displaystyle 1\ centimeter\times 13\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 13\ meters}{.01\ meter}= x\ centimeters$ $\displaystyle \frac{1\ centimeter\times 13\ meters}{.01\ meter}= x\ centimeters$

The meters $\displaystyle meters$ will cancel and we are left with $1,300\ centimeters$ $\displaystyle 1,300\ centimeters$

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MAP 5th Grade Math : Measurement and Data

Study concepts, example questions & explanations for MAP 5th Grade Math

All MAP 5th Grade Math Resources

Example Questions

Example Question #6 : Map 5th Grade Math

Example Question #1 : Measurement And Data

Example Question #2 : Measurement And Data

All MAP 5th Grade Math Resources

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