6th Grade Math Ratios And Rates Unit Test

<p>In a fruit basket there are `9` bananas, `4` apples, and `5` plums.</p><ul><li>What is the ratio of apples to bananas? </li><li>What is the ratio of apples to plums?</li></ul>

<p>Elodie counted the wildlife in her backyard. She made a picture to show her results.</p><TableUIv2 data-props='{ "borderless": true, "rows": [ [ { "type": "emoji", "value": "ladybug" }, { "type": "emoji", "value": "ladybug" }, { "type": "emoji", "value": "ladybug" }, { "type": "emoji", "value": "ladybug" } ], [ { "type": "emoji", "value": "butterfly" }, { "type": "emoji", "value": "butterfly" } ] ]}'></TableUIv2 ><p>What is the ratio of ladybugs to butterflies? <br><highlight data-color="#666" data-style="italic">Write your ratio in simplest form. </highlight></p>

<p>Write an equivalent ratio in simplest form.</p><p>`1.5 : 0.075`</p>

<p>Write an equivalent ratio in simplest form.</p><p>`0.17 : 0.14`</p>

<p>Fill in the missing value that makes the two ratios equivalent.</p><p>`25 : 35`<br>`45` :? </p>

<p>The table shows three pairs of equivalent ratios. </p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "headers": null, "borders": { "rows": [ 4 ], "cols": [ 3 ] }, "rows": [ [ { "value": "`3/4`" }, { "value": "`4/5`" } ], [ { "value": "`15`" }, { "value": "`?`" } ], [ { "value": "`?`" }, { "value":"`32`" } ] ]}'></TableUIv2 ></selectivedisplay><p>Find the missing values in the table.</p>

<p>Complete the table using equivalent ratios.</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "headers": null, "borders": { "rows": [ 4 ], "cols": [ 3 ] }, "rows": [ [ { "value": 8 }, { "value": 104 } ], [ { "value": 1.5 }, { "value": "?" } ], [ { "value": "?" }, { "value": 39 } ] ]}'></TableUIv2 ></selectivedisplay>

<p>Barbara went to the craft store to purchase some yarn for a sweater she is knitting. She spent `$3.90` to buy a bag containing `2` balls of yarn. </p><ul><li>Create a double number line that represents the price Barbara will pay for buying `2, 3,` or `4` bags of yarn. </li><li>How much money will Barbara pay for `8` balls of yarn?</li> <li>How many balls of yarn can Barbara buy for `$11.70`?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Cost (dollars)" }, "title_bottom": { "text": "Balls of yarn" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 25, "label_top": { "type": "text", "text": "3.90" }, "label_bottom": { "type": "text", "text": "2" } }, { "position": 50, "label_top": { "type": "text", "text": "?" }, "label_bottom": { "type": "text", "text": " ?" } }, { "position": 75, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "?" } }, { "position": 100, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "?" } } ]}'></DoubleNumberline ></selectivedisplay>

<p>Matthew uses `3.5` meters of fabric for `5` meters of ribbon per costume he is making. </p><ul><li>Complete the double number line below to represent the amount of each material he will use for `2, 3, 4,` and `5` costumes.</li> <li>How much fabric will Matthew need if he has used `20` meters of ribbon?</li><li>How much ribbon will Matthew need if he has used `17.5` meters of fabric?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Fabric (meters) " }, "title_bottom": { "text": "Ribbon (meters) " }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 20, "label_top": { "type": "text", "text": "3.5" }, "label_bottom": { "type": "text", "text": "5" } }, { "position": 40, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "10" } }, { "position": 60, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": " ? " } }, { "position": 80, "label_top": { "type": "text", "text": "14" }, "label_bottom": { "type": "text", "text": " ?" } }, { "position": 100, "label_top": { "type": "text", "text": " ?" }, "label_bottom": { "type": "text", "text": "? " } } ]}'></DoubleNumberline ></selectivedisplay>

<p>Orion is making a recipe for meatloaf. His recipe calls for `33` ounces of ground beef and `15` ounces of bread crumbs. He needs to make a large quantity of meatloaf for a family gathering, so will be using `55` ounces of ground beef. </p><p>How many ounces of bread crumbs will he need?</p>

<p>In Mr. Kim’s `6`th-grade class there are `16` boys and `12` girls. Ms. Smith’s class has the same ratio of boys to girls as Mr. Kim’s class. </p><p>If there are `15` girls in Ms. Smith’s class, how many boys are there?</p>

<p>The McCallister family has an RV and a Ford truck. With `1` gallon of gas, the RV can travel `10` miles while the truck can travel `24` miles. </p><p>If the truck travels `30` miles with a certain amount of gas, how many miles can the RV travel?</p>

<p>Three numbers are in the ratio of `4:7:9`. The sum of these three numbers is `260`. </p><p>What is the difference between the largest and the smallest of these numbers?</p>

<p>Jenny saved `$195` over the last `6 ` months. </p><p>If she has saved an equal amount each month, how much did Jenny save each month?</br><highlight data-color="#666" data-style="italic">Round your answer to the nearest cent, if necessary.</highlight> </p>

<p>The label on a bag of wildflower seeds weighing `1 1/2` pounds states that it will cover an area of `375` ft^`2`. </p><p>Based on this information, what is the number of square feet that `1` pound of wildflower seeds will cover?</p>

<p>Evelyn is filling the dunk tank to get ready to dunk some willing teachers during the school carnival! She is keeping track of how fast the tank is filling and notes that every `15` minutes the tank water level increases by `18.5` cm. </p><p>If the tank continues to fill at a steady rate, how many centimeters will the water level increase in the tank in `1` hour?</p>

<p>Libby is a florist who is making different sized arrangements to sell for Valentine’s Day. She made `4` large arrangements and used `80` flowers. She then made `7` small arrangements and used 105 flowers. </p><p>How many more flowers did she use in a large arrangement than she did in a small arrangement?</p>

<p>Sylvia needs `36` lemons to make `3` gallons of fresh lemonade for the school fair. </p><ul><li>If she has been asked to make `10` gallons of fresh lemonade, how many lemons will she need to buy to make the lemonade?</li><li> If the price for `1` lemon at the grocery store is `$0.55`, how much will Sylvia pay for all the lemons she will need?</li></ul>

<p>Convert `9` gallons to quarts.</p>

<p>A class of `6`th graders has planned an end of year ice cream party. They have purchased `5` gallons of ice cream. Each student will get `1/4 `quart of ice cream to make a sundae. </p><p>How many students will the ice cream serve?</p>