HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #372 : Measurement & Data

If the formula to find the area of the white side of the rectangle below is \(\displaystyle 2\times3\), what is the formula to find that area of the purple side? 

Screen shot 2015 11 04 at 1.30.24 pm

 

Possible Answers:

\(\displaystyle 3\times3\)

\(\displaystyle 5\times2\)

\(\displaystyle 3\times2\)

\(\displaystyle 2\times3\)

\(\displaystyle 5\times3\)

Correct answer:

\(\displaystyle 3\times3\)

Explanation:

Both the purple side and the white side have the same width, \(\displaystyle 3\ units\). The length of the purple side is \(\displaystyle 3\ units\). Thus the area formula for the purple side of the rectangle is \(\displaystyle 3\times3\).

Example Question #373 : Measurement & Data

If the formula to find the area of the white side of the rectangle below is \(\displaystyle 3\times3\), what is the formula to find that area of the purple side? 

Screen shot 2015 11 04 at 1.34.48 pm

 

Possible Answers:

\(\displaystyle 5\times3\)

\(\displaystyle 2\times3\)

\(\displaystyle 3\times3\)

\(\displaystyle 2\times2\)

\(\displaystyle 3\times3\)

Correct answer:

\(\displaystyle 2\times3\)

Explanation:

Both the purple side and the white side have the same width, \(\displaystyle 3\ units\). The length of the purple side is \(\displaystyle 2\ units\). Thus the area formula for the purple side of the rectangle is \(\displaystyle 2\times3\).

Example Question #1 : Use Tiling To Show Area Of Rectangles: Ccss.Math.Content.3.Md.C.7c

If the formula to find the area of the white side of the rectangle below is \(\displaystyle 4\times3\), what is the formula to find that area of the purple side? 

Screen shot 2015 11 04 at 1.37.45 pm

 

Possible Answers:

\(\displaystyle 4\times2\)

\(\displaystyle 4\times3\)

\(\displaystyle 1\times3\)

\(\displaystyle 5\times2\)

\(\displaystyle 5\times3\)

Correct answer:

\(\displaystyle 1\times3\)

Explanation:

Both the purple side and the white side have the same width, \(\displaystyle 3\ units\). The length of the purple side is \(\displaystyle 1\ unit\). Thus the area formula for the purple side of the rectangle is \(\displaystyle 1\times3\).

Example Question #5 : Use Tiling To Show Area Of Rectangles: Ccss.Math.Content.3.Md.C.7c

If the formula to find the area of the white side of the rectangle below is \(\displaystyle 4\times4\), what is the formula to find that area of the purple side?

 Screen shot 2015 11 04 at 1.40.04 pm

 

Possible Answers:

\(\displaystyle 1\times4\)

\(\displaystyle 4\times4\)

\(\displaystyle 3\times4\)

\(\displaystyle 3\times1\)

\(\displaystyle 4\times2\)

Correct answer:

\(\displaystyle 1\times4\)

Explanation:

Both the purple side and the white side have the same width, \(\displaystyle 4\ units\). The length of the purple side is \(\displaystyle 1\ unit\). Thus the area formula for the purple side of the rectangle is \(\displaystyle 1\times4\).

Example Question #6 : Use Tiling To Show Area Of Rectangles: Ccss.Math.Content.3.Md.C.7c

If the formula to find the area of the white side of the rectangle below is \(\displaystyle 3\times4\), what is the formula to find that area of the purple side? 

Screen shot 2015 11 04 at 1.42.39 pm

 

Possible Answers:

\(\displaystyle 4\times3\)

\(\displaystyle 3\times4\)

\(\displaystyle 2\times5\)

\(\displaystyle 4\times5\)

\(\displaystyle 2\times4\)

Correct answer:

\(\displaystyle 2\times4\)

Explanation:

Both the purple side and the white side have the same width, \(\displaystyle 4\ units\). The length of the purple side is \(\displaystyle 2\ units\). Thus the area formula for the purple side of the rectangle is \(\displaystyle 2\times4\).

Example Question #7 : Use Tiling To Show Area Of Rectangles: Ccss.Math.Content.3.Md.C.7c

If the formula to find the area of the white side of the rectangle below is \(\displaystyle 2\times4\), what is the formula to find that area of the purple side? 

Screen shot 2015 11 04 at 1.45.12 pm

 

Possible Answers:

\(\displaystyle 2\times4\)

\(\displaystyle 3\times4\)

\(\displaystyle 5\times2\)

\(\displaystyle 4\times5\)

\(\displaystyle 1\times4\)

Correct answer:

\(\displaystyle 3\times4\)

Explanation:

Both the purple side and the white side have the same width, \(\displaystyle 4\ units\). The length of the purple side is \(\displaystyle 3\ units\). Thus the area formula for the purple side of the rectangle is \(\displaystyle 3\times4\).

Example Question #7 : Use Tiling To Show Area Of Rectangles: Ccss.Math.Content.3.Md.C.7c

If the formula to find the area of the white side of the rectangle below is \(\displaystyle 1\times4\), what is the formula to find that area of the purple side? 

Screen shot 2015 11 04 at 1.46.58 pm

 

Possible Answers:

\(\displaystyle 3\times4\)

\(\displaystyle 3\times3\)

\(\displaystyle 5\times5\)

\(\displaystyle 4\times1\)

\(\displaystyle 4\times4\)

Correct answer:

\(\displaystyle 4\times4\)

Explanation:

Both the purple side and the white side have the same width, \(\displaystyle 4\ units\). The length of the purple side is \(\displaystyle 4\ units\). Thus the area formula for the purple side of the rectangle is \(\displaystyle 4\times4\).

Example Question #8 : Use Tiling To Show Area Of Rectangles: Ccss.Math.Content.3.Md.C.7c

If the formula to find the area of the white side of the rectangle below is \(\displaystyle 3\times4\), what is the formula to find that area of the purple side? 

Screen shot 2015 11 04 at 1.50.38 pm

 

Possible Answers:

\(\displaystyle 4\times4\)

\(\displaystyle 6\times4\)

\(\displaystyle 3\times3\)

\(\displaystyle 4\times6\)

\(\displaystyle 5\times4\)

Correct answer:

\(\displaystyle 4\times4\)

Explanation:

Both the purple side and the white side have the same width, \(\displaystyle 4\ units\). The length of the purple side is \(\displaystyle 4\ units\). Thus the area formula for the purple side of the rectangle is \(\displaystyle 4\times4\).

Example Question #9 : Use Tiling To Show Area Of Rectangles: Ccss.Math.Content.3.Md.C.7c

If the formula to find the area of the white side of the rectangle below is \(\displaystyle 2\times4\), what is the formula to find that area of the purple side? 

Screen shot 2015 11 04 at 1.52.53 pm

 

Possible Answers:

\(\displaystyle 5\times4\)

\(\displaystyle 4\times3\)

\(\displaystyle 3\times4\)

\(\displaystyle 5\times5\)

\(\displaystyle 5\times6\)

Correct answer:

\(\displaystyle 5\times4\)

Explanation:

Both the purple side and the white side have the same width, \(\displaystyle 4\ units\). The length of the purple side is \(\displaystyle 5\ units\). Thus the area formula for the purple side of the rectangle is \(\displaystyle 5\times4\).

Example Question #11 : Use Tiling To Show Area Of Rectangles: Ccss.Math.Content.3.Md.C.7c

If the formula to find the area of the white side of the rectangle below is \(\displaystyle 1\times4\), what is the formula to find that area of the purple side? 

Screen shot 2015 11 04 at 1.58.22 pm

 

Possible Answers:

\(\displaystyle 6\times3\)

\(\displaystyle 1\times6\)

\(\displaystyle 6\times4\)

\(\displaystyle 5\times4\)

\(\displaystyle 5\times3\)

Correct answer:

\(\displaystyle 6\times4\)

Explanation:

Both the purple side and the white side have the same width, \(\displaystyle 4\ units\). The length of the purple side is \(\displaystyle 6\ units\). Thus the area formula for the purple side of the rectangle is \(\displaystyle 6\times4\).

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