6th Grade Math Number System Unit Test

<selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>`93.4 - 21.36`</p></selectivedisplay>

<p>Multiply.</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>`4 × 3.9`</p></selectivedisplay>

<p>What is the Greatest Common Factor (GCF) of `12` and `20`?</p>

<p>What is the greatest common factor of `40` and `85`?</p>

<p>What is the Least Common Multiple (LCM) of `4` and `6`?</p>

<p>Avery is preparing plates of vegetables for a dinner at a senior center. She has `49` baby carrots and `77` celery sticks that she wants to divide evenly onto the plates, with no food left over.</p> <ul><li>What is the greatest number of plates Avery can prepare? </li><li>How many baby carrots will be on each plate? </li><li>How many celery sticks will be on each plate?</li></ul>

<p>Rose baked `20` brownies and `25` cookies to package in gift bags for her neighbors. She wants to divide the desserts into identical gift bags so each gift bag has the same number of brownies and cookies, with no desserts left over. </p><ul><li>What is the most number of gift bags she can make? </li><li>How many brownies will be in each gift bag?</li> <li>How many cookies will be in each gift bag?</li></ul>

<p>Yellow boxes that are `10` inches tall are being stacked next to blue boxes that are `15` inches tall. </p><p>What is the shortest height where the two stacks of boxes will be the same height?</p>

<p>Carol and Max are putting together strips of paper to make a display of a quilt for a craft show. Carol is putting together `16`-inch strips of yellow paper and Max is joining `24`-inch strips of blue paper to make sections of the quilt display. Both of their sections must be the same length. </p><p>What is the shortest length of a section Carol and Max can make so that there is no extra paper left over?</p>

<p>Cancel any common factors, then multiply.</p> <selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>`9/10 × 2/3`</p></selectivedisplay><i><p style="color:#808080">Write your answer in simplest form.</i> </p>

<p>Cancel any common factors, then multiply.</p> <selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>`9/16 × 28/33`</p></selectivedisplay><i><p style="color:#808080">Write your answer in simplest form.</i> </p>

<p>Use the number line to count the number of times `2/5` goes in to `2 2/5`, which is the same as:</p><p>`2 2/5 ÷ 2/5`</p> <NumberLine data-props='{ "min_scale": 0, "max_scale": 3, "interval": 1, "show_markers": true, "hash_marks_between_interval": 4, "points": [ { "id": 1, "value": 0, "show_point": true, "point_color": "#000" }, { "id": 2, "value": 2.4, "show_point": true, "point_color": "#000" } ], "point_arrows": []}'></NumberLine >

<p>Follow the directions below to divide using an area model.</p><p>`2/3 ÷ 6`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p style="color:#808080"><i> Interactive: Students follow steps to create an exploratory area model.</i> </p></selectivedisplay>

<p>Divide.</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>`6 2/5 ÷ 3` </p></selectivedisplay><i><p style="color:#808080"> Write your answer in simplest form.</i> </p>

<p>Divide.</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>`8 3/4 ÷ 2 1/3` </p></selectivedisplay><i><p style="color:#808080"> Write your answer in simplest form.</i> </p>

<p>Piper is knitting potholders to sell at an upcoming craft fair. It takes her `5/8` of an hour to knit `1` potholder. </p><p>If Piper works for `8 3/4` hours, how many potholders will she be able to make? <br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, fraction, or exact decimal. </highlight> </p>

<p>A baker buys `8 3/4` pounds of berries to make pies. Each pie will take `1 3/8` pounds of berries. </p><p>How many pies can the baker make? <br><highlight data-color="#666" data-style="italic">Write your answer as a whole number, fraction, or exact decimal. </highlight> </p>

<p>Aki bought a `9` feet roll of gift wrap to wrap presents for several children that she babysits. Each present used `5/6` of a foot of paper to wrap.</p><ul><li>How many presents could Aki wrap with the roll of paper? </li><li>How many feet of wrapping paper would be left on the roll after the presents were all wrapped?</li></ul>

<p>Tori has a large cooler with `8 3/4` quarts of apple cider ready to sell at the Fall Festival. She plans to use cups that will give each person a serving of `3/10` of a quart of cider. </p><ul><li>How many servings of cider could Tori sell?</li><li>How many quarts of cider will be left over when all the full servings have been sold?</li></ul>

<p>Order the following numbers from least to greatest:</p><ul><li>`11/3` </li><li> `17/5`</li><li>`235%`</li></ul>

<selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>`648÷18`</p></selectivedisplay>