Fishtank Learning

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<p style="margin:0">6th Grade</p>

<p style="margin:0">Unit 3: Multi-Digit and Fraction Computation</p>

<p style="margin:0">Post-Unit Assessment</p>
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<p>1.&nbsp;&nbsp;&nbsp;Justin divided 403 by a number and got a quotient of 26.86 . What was the number Justin divided by?</p>
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<p>2.&nbsp;&nbsp;&nbsp;What is the quotient of <span class="math-tex">$$13,632\div48$$</span>?</p>
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<p>3.&nbsp;&nbsp;&nbsp;At the beginning of the day, a water tank contained 526.8 gallons of water. During the day, some of the water was used to water a garden. At the end of the day, the water tank contained 318.05 gallons of water.</p>

<p>What was the total amount of water used that day?</p>
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<p>202.75 gallons</p>
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<p>208.75 gallons</p>
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<p>208.85 gallons</p>
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<p>210.80 gallons</p>

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<p>4.&nbsp;&nbsp;&nbsp;Find the product of 44.6 and 2.34.</p>
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<p>5.&nbsp;&nbsp;&nbsp;Twelve friends go to a restaurant together to celebrate a birthday. The food bill is $192.77 and $48.19 is added on for tax and tip. If the friends plan to divide the bill evenly between the 12 people, how much does each person owe?</p>
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<p>6.&nbsp;&nbsp;&nbsp;Find the quotient of 436.8 and 61.2. Round your answer to the nearest tenth.</p>
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<p>7.&nbsp;&nbsp;&nbsp;What&nbsp;fraction makes the following statement true?</p>

<p style="text-align: center;"><span class="math-tex">$$\frac{1}{3} \space \times $$</span>&nbsp;____&nbsp;<span class="math-tex">$$=\frac{2}{9}$$</span></p>
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<p>8.&nbsp;&nbsp;&nbsp;Which of the following situations describe the expression <span class="math-tex">$$3\div \frac{4}{5}$$</span>?</p>
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<p>Bran has <span class="math-tex">$$3$$</span> pounds of candy and gives <span class="math-tex">$$\frac{4}{5}$$</span> of it away.</p>
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<p>Bran has <span class="math-tex">$$\frac{4}{5}$$</span> of a pound of candy for each of his <span class="math-tex">$$3$$</span> friends.</p>
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<p>Bran splits <span class="math-tex">$$\frac{4}{5}$$</span> of a pound of candy evenly among <span class="math-tex">$$3$$</span> people.</p>
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<p>Bran has <span class="math-tex">$$3$$</span> pounds of candy and splits it into groups of <span class="math-tex">$$\frac{4}{5}$$</span> pounds each.</p>
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<p>9.&nbsp;&nbsp;&nbsp;At a birthday party, five people are sharing <span class="math-tex">$$\frac{3}{4}$$</span> of a pan of lasagna. What equal-sized portion of the whole pan will each of the five people receive?</p>
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<p style="">a.&nbsp;&nbsp;&nbsp;Write an equation to represent the situation.</p>

<p style="">b. Solve and explain your reasoning.</p>

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<p>10.&nbsp;&nbsp;&nbsp;Find the quotient, show your work.&nbsp; &nbsp; &nbsp;<span class="math-tex">$$\frac{3}{4}\div\frac{6}{5}$$</span></p>
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<p>11.&nbsp;&nbsp;&nbsp;A basket contains <span class="math-tex">$$\frac{11}{12}$$</span> pound of strawberries. One serving of strawberries is <span class="math-tex">$$\frac{1}{4}$$</span> pound. How many servings of strawberries are in the basket?</p>

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<div style="height: 150px">12.&nbsp;&nbsp;&nbsp;What is the greatest common factor of 56 and 92?</div>
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<p>13.&nbsp; &nbsp;What is the least common multiple of 4 and 10?</p>
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<p>14.&nbsp;&nbsp;&nbsp;At the grand opening of a store, the owner gave away stickers and T-shirts to some of the customers.</p>

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	<li>A total of 180 customers visited the store at the grand opening.</li>
	<li>Every <span class="math-tex">$$10^\text{th}$$</span> customer received a free sticker.</li>
	<li>Every <span class="math-tex">$$25^\text{th}$$</span> customer received a free T-shirt.</li>
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<p style="">a.&nbsp;&nbsp;&nbsp;What is the total number of customers who received a free sticker? Show or explain how you got your answer.</p>
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<p style="">b.&nbsp;&nbsp;&nbsp;What is the total number of customers who received a free T-shirt? Show or explain how you got your answer.</p>
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<p style="">c.&nbsp;&nbsp;&nbsp;What is the total number of customers who received both a free sticker <strong>and</strong> a free T-shirt? Show or explain how you got your answer.</p>
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<h4>Sources</h4>

<div class="mb-2 references">
<div class="pb-1"><span class="inline" style="display: block;">1.&nbsp;&nbsp;Massachusetts Department of Elementary and Secondary Education <a href="https://www.doe.mass.edu/mcas/2015/release/Gr6-Math.pdf" rel="noopener noreferrer" target="_blank"><i>Spring 2015 Grade 6 Mathematics Test</i></a></span> &mdash; <span class="inline" style="display: inline-block;">Question #1</span></div>

<div class="notice">
<p><a href="https://www.doe.mass.edu/mcas/2015/release/Gr6-Math.pdf" rel="noopener noreferrer" target="_blank"><i>Spring 2015 Grade 6 Mathematics Test</i></a> is made available by the<a href="http://www.doe.mass.edu/"> Massachusetts Department of Elementary and Secondary Education</a>.&nbsp;&copy; 2017 Commonwealth of Massachusetts. Accessed Dec. 3, 2020, 11:36 a.m..</p>
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<div class="pb-1"><span class="inline" style="display: block;">2.&nbsp;&nbsp;PARCC Released Items <a href="https://parcc-assessment.org/content/uploads/released_materials/01/6th_grade_Math_PBA_Item_Set.pdf" rel="noopener noreferrer" target="_blank"><i>Math Spring Operational 2015 Grade 6 Performance Based Assessment Released Items</i></a></span> &mdash; <span class="inline" style="display: inline-block;">Question #4</span></div>

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<p><a href="https://parcc-assessment.org/content/uploads/released_materials/01/6th_grade_Math_PBA_Item_Set.pdf" rel="noopener noreferrer" target="_blank"><i>Math Spring Operational 2015 Grade 6 Performance Based Assessment Released Items</i></a> is made available by<a href="http://parcc-assessment.org/"> The Partnership for Assessment of Readiness for College and Careers (PARCC)</a>. Copyright &copy; 2017 All Rights Reserved. Accessed Dec. 3, 2018, 2:50 p.m..</p>
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<div class="pb-1"><span class="inline" style="display: block;">3.&nbsp;&nbsp;Massachusetts Department of Elementary and Secondary Education <a href="https://www.doe.mass.edu/mcas/2016/release/Gr6-Math.pdf" rel="noopener noreferrer" target="_blank"><i>Spring 2016 Grade 6 Mathematics Test</i></a></span> &mdash; <span class="inline" style="display: inline-block;">Question #16</span></div>

<div class="notice">
<p><a href="https://www.doe.mass.edu/mcas/2016/release/Gr6-Math.pdf" rel="noopener noreferrer" target="_blank"><i>Spring 2016 Grade 6 Mathematics Test</i></a> is made available by the<a href="http://www.doe.mass.edu/"> Massachusetts Department of Elementary and Secondary Education</a>.&nbsp;&copy; 2017 Commonwealth of Massachusetts. Accessed Dec. 3, 2020, 12:04 p.m..</p>
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<div class="pb-1"><span class="inline" style="display: block;">9.&nbsp;&nbsp;EngageNY Mathematics <a href="https://www.engageny.org/resource/grade-6-mathematics-module-2" rel="noopener noreferrer" target="_blank">Grade 6 Mathematics &gt; Module 2</a></span> &mdash; <span class="inline" style="display: inline-block;">Question #1</span></div>

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<p><a href="https://www.engageny.org/resource/grade-6-mathematics-module-2" rel="noopener noreferrer" target="_blank">Grade 6 Mathematics &gt; Module 2</a> of the New York State Common Core Mathematics Curriculum from <a href="https://www.engageny.org/">EngageNY</a> and <a href="https://greatminds.org/">Great Minds</a>. &copy; 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the <a href="https://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode">CC BY-NC-SA 3.0 US</a>&nbsp;license.&nbsp;Accessed Dec. 2, 2016, 5:17 p.m..</p>

<p>Modified by Fishtank Learning, Inc.</p>
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<div class="pb-1"><span class="inline" style="display: block;">15.&nbsp;&nbsp;EngageNY <a href="https://www.engageny.org/resource/released-2017-3-8-ela-and-mathematics-state-test-questions/file/150281" rel="noopener noreferrer" target="_blank"><i>New York State Testing Program Grade 6 Common Core Mathematics Test Released Questions June 2017</i></a></span> &mdash; <span class="inline" style="display: inline-block;">Question #28</span></div>

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<p>From <a href="https://www.engageny.org/">EngageNY.org</a> of the New York State Education Department. <a href="https://www.engageny.org/resource/released-2017-3-8-ela-and-mathematics-state-test-questions/file/150281" rel="noopener noreferrer" target="_blank"><i>New York State Testing Program Grade 6 Common Core Mathematics Test Released Questions June 2017</i></a>. Internet. Available from https://www.engageny.org/resource/released-2017-3-8-ela-and-mathematics-state-test-questions/file/150281; accessed May 24, 2018, 9:47 a.m..</p>

<p>Modified by Fishtank Learning, Inc.</p>
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<div class="mb-2 references">
<div class="pb-1"><span class="inline" style="display: block;">16.&nbsp;&nbsp;Massachusetts Department of Elementary and Secondary Education <a href="https://mcas.digitalitemlibrary.com/home?subject=Math&amp;grades=Grade%206&amp;view=ALL&amp;itemUIN=ma249009" rel="noopener noreferrer" target="_blank"><i>MCAS Digital Item Library</i></a></span> &mdash; <span class="inline" style="display: inline-block;">Item MA249009</span></div>

<div class="notice">
<p>MCAS Digital Item Library is made available by the<a href="http://www.doe.mass.edu/"> Massachusetts Department of Elementary and Secondary Education</a>.&nbsp;&copy; 2017 Commonwealth of Massachusetts. Accessed May 6, 2022, 5:20 p.m..</p>
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