ratio problem solving activity

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Common Core - State Standards Initiative

Understanding ratios is crucial for solving problems relating to proportions and percents. Math Games makes reviewing this higher-level math skill a breeze, with our suite of enjoyable educational games that students won’t want to stop playing!

Our free resources include mobile-compatible game apps, PDF worksheets, an online textbook and more. Students can use these tools to blend study with play as they practice:

• Describing pictures as ratios
• Calculating percents and prices
• Comparing ratios
• Solving proportions
• Finding the slope of a graph

Help the kids in your life look forward to reviewing math! Our games are tailored to a variety of grade levels and become easier or more challenging depending on how well users are playing. Select one of the skills listed above to check them out!

Ratio Problem Solving Worksheet

FREE DOWNLOAD

Give your grade 6-8 students skills and applied questions on ratio problem solving.

• 15 questions in total; 10 skill questions and 5 applied questions
• Answer key included with the related common core standard
• Print off and share with your classes to support their learning
• Covers ‘Ratios and Proportional Relationships’: 6.RP.A.3 & 7.RP.A.2

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Ratio Worksheets

Compare two quantities with ratios. These worksheets feature basic and intermediate-level ratio activities.

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Ratio Worksheets

Immerse yourself in practice with our printable ratio worksheets. Whether it is part-to-part ratios, part-to-whole ratios, identifying parts from the whole, or finding the whole from the parts, dividing quantities, generating equivalent ratios, or expressing the ratio in three different ways, that you are looking for, these pdfs have them all covered for your grade 5 through grade 8 learners. Instantly evaluate your ratio problems with the answer keys provided. Our free ratio worksheets are a must-have to get the ball rolling!

Part-to-Part Ratio | Level-1

Perk up with these part-to-part ratio worksheets and get children in grade 5 and grade 6 to count how many of one thing there is as compared to another and express it as a ratio.

• Download the set

Part-to-Part Ratio | Level-2

Fuel learning with these ratio pdfs where the two sets of objects are mixed up. Count the number of each kind and frame a ratio comparing the size of one number to the size of the other.

Part-to-Whole Ratio | Level-1

Comparing the number of butter cookies to the assorted cookies in a jar is an example of part-to-whole ratios. Measure the quantity of one item against the total and write the ratio.

Part-to-Whole Ratio | Level-2

Upscale with these printable part-to-whole ratio worksheets. Direct children to count the number of specified objects, add the three terms to find the whole and express them as a ratio.

Expressing Ratio in Three Ways | Pictures

Get acquainted with the different representations of a ratio. Count the two different sets of pictures and express the ratio by using "to", the colon symbol ":", and the fraction notation.

Representing Ratio in Three Ways | Standard

Doing away with pictures and presenting ratio in word format, these ratio worksheets are a sure-fire way to help learners transit easily as they read phrases and express the ratio in three ways.

Drawing Shapes to Represent the Ratio

Break away from the humdrum of regular printable ratio worksheets and get children to stay in the groove as they follow the instructions and sketch shapes to represent the ratio.

Coloring Objects to Represent the Ratio

Add a splash of color with these pdf worksheets where 5th grade, and 6th grade children are expected to color the specified number of objects as instructed and figure out the ratio.

Reducing Ratios to the Lowest Terms | Easy

Reducing is nothing but converting the ratio to its simplest form. Divide the antecedent and the consequent terms of the ratio, which are numbers within 50, by the GCF to reduce the ratio.

Reducing Ratios to the Lowest Terms | Moderate

Raise the bar for grade 6 and grade 7 learners with these reducing the ratios to the lowest terms worksheets where the number range gradually increases to 100.

Simplifying Ratios Involving Unit Conversion | Easy

Take your simplifying ratio skills to new heights with these pdfs. Using appropriate conversion formulas, make the units uniform and reduce the ratio to the simplest terms.

Simplifying Ratios Involving Unit Conversion | Moderate

Bring uniformity in the units before reducing the ratio to lowest terms as you make headway with these printable simplifying ratio worksheets involving numbers within 100.

Finding the Parts from the Whole

Add up the terms of the ratio. Divide the whole quantity by the sum of the parts to find the unit rate. Multiply each term with the unit rate to find the two parts. Not as complicated as it sounds!

Finding the Whole from Parts

The ratio of two numbers and the quantity of one part is provided. Scale up the other term by multiplying it and figure out the other quantity, add the two quantities to find the whole.

Dividing Quantities into 3-Part Ratios

Add the three terms to find the total number of parts the quantity should be divided into. Multiply each term in the ratio with the unit rate and share the quantity in the given ratio.

Writing the Equivalent Ratios

Scale up each ratio by multiplying the antecedent and the consequent terms by the same number and write an equivalent ratio and complete the table with the missing equivalent ratios.

Finding Unknown Quantities from Equivalent Ratios

Instruct 7th grade and 8th grade learners to simplify ratios and check for equivalence, work out the unknown quantity in an equivalent equation, and solve word problems too.

Ratio Word Problems

Go beyond books and practice the real-time application of ratio concepts as you solve word problems involving part-to-part ratios, part-to-whole ratios, and much more.

(27 Worksheets)

Proportion Worksheets

Comprehend the distinction between ratio and proportion with this batch of proportion worksheets offering exercises like finding proportions, identifying them from graphs, and more!

(120 Worksheets)

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Applied Ratio

Lots of applied ratio here!

This new lesson on three-way ratio problem solving looks at using given ratios to create others. Students will need to understand equivalence of ratios and sharing into a ratio.

Recipes is a common exam question and the main task of this lesson is fully differentiated and focuses on the menu for the restaurant Pythagoras' Place. The extension task requires the students to work out ingredients for Shrove Tuesday for the class in question.

Best buys features lots of opportunity for discussion and plenty of relevant maths. Pair work, visual explanations and a differentiated main task with answers.

Exchange rates is another highly relevant topic using current exchange rates (use the given link). Answers will change along with the rates so I have not included answers for this lesson.

Ratio: Problem Solving Textbook Exercise

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Use the generator to make customized ratio worksheets. Experiment with the options to see what their effect is.

Primary Grade Challenge Math by Edward Zaccaro

A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter’s questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging.

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Ratio word problems

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Use ratios to solve these word problems

Students can use simple ratios to solve these word problems ; the arithmetic is kept simple so as to focus on the understanding of the use of ratios.

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Unit 3: Ratios and rates

About this unit.

Learn all about proportional relationships. How are they connected to ratios and rates? What do their graphs look like? What types of word problems can we solve with proportions?

Intro to ratios

• Intro to ratios (Opens a modal)
• Basic ratios (Opens a modal)
• Part:whole ratios (Opens a modal)
• Ratio review (Opens a modal)
• Basic ratios Get 5 of 7 questions to level up!

Visualize ratios

• Ratios with tape diagrams (Opens a modal)
• Equivalent ratio word problems (Opens a modal)
• Ratios and double number lines (Opens a modal)
• Ratios with tape diagrams Get 3 of 4 questions to level up!
• Equivalent ratios with equal groups Get 3 of 4 questions to level up!
• Create double number lines Get 3 of 4 questions to level up!
• Ratios with double number lines Get 3 of 4 questions to level up!
• Relate double number lines and ratio tables Get 3 of 4 questions to level up!

Equivalent ratios

• Ratio tables (Opens a modal)
• Solving ratio problems with tables (Opens a modal)
• Equivalent ratios (Opens a modal)
• Equivalent ratios: recipe (Opens a modal)
• Understanding equivalent ratios (Opens a modal)
• Ratio tables Get 3 of 4 questions to level up!
• Equivalent ratios Get 3 of 4 questions to level up!
• Equivalent ratio word problems Get 3 of 4 questions to level up!
• Equivalent ratios in the real world Get 3 of 4 questions to level up!
• Understand equivalent ratios in the real world Get 3 of 4 questions to level up!

Ratio application

• Ratios on coordinate plane (Opens a modal)
• Ratios and measurement (Opens a modal)
• Part to whole ratio word problem using tables (Opens a modal)
• Ratios on coordinate plane Get 3 of 4 questions to level up!
• Ratios and units of measurement Get 3 of 4 questions to level up!
• Part-part-whole ratios Get 3 of 4 questions to level up!

Intro to rates

• Intro to rates (Opens a modal)
• Solving unit rate problem (Opens a modal)
• Solving unit price problem (Opens a modal)
• Rate problems (Opens a modal)
• Comparing rates example (Opens a modal)
• Rate review (Opens a modal)
• Unit rates Get 5 of 7 questions to level up!
• Rate problems Get 3 of 4 questions to level up!
• Comparing rates Get 3 of 4 questions to level up!

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Ratio Problem Solving Activity