## A ratio compares values .

A ratio says how much of one thing there is compared to another thing.

Ratios can be shown in different ways:

Use the ":" to separate the values: | 3 : 1 | |

Or we can use the word "to": | 3 to 1 | |

Or write it like a fraction: |

A ratio can be scaled up:

## Try it Yourself

Using ratios.

The trick with ratios is to always multiply or divide the numbers by the same value .

is the same as ×2 ×2 |

## Example: A Recipe for pancakes uses 3 cups of flour and 2 cups of milk.

So the ratio of flour to milk is 3 : 2

To make pancakes for a LOT of people we might need 4 times the quantity, so we multiply the numbers by 4:

3 ×4 : 2 ×4 = 12 : 8

In other words, 12 cups of flour and 8 cups of milk .

The ratio is still the same, so the pancakes should be just as yummy.

## "Part-to-Part" and "Part-to-Whole" Ratios

The examples so far have been "part-to-part" (comparing one part to another part).

But a ratio can also show a part compared to the whole lot .

## Example: There are 5 pups, 2 are boys, and 3 are girls

Part-to-Part:

The ratio of boys to girls is 2:3 or 2 / 3

The ratio of girls to boys is 3:2 or 3 / 2

Part-to-Whole:

The ratio of boys to all pups is 2:5 or 2 / 5

The ratio of girls to all pups is 3:5 or 3 / 5

## Try It Yourself

We can use ratios to scale drawings up or down (by multiplying or dividing).

The height to width ratio of the Indian Flag is So for every (inches, meters, whatever) of height | |

If we made the flag 20 inches high, it should be 30 inches wide. If we made the flag 40 cm high, it should be 60 cm wide (which is still in the ratio 2:3) |

## Example: To draw a horse at 1/10th normal size, multiply all sizes by 1/10th

This horse in real life is 1500 mm high and 2000 mm long, so the ratio of its height to length is

1500 : 2000

What is that ratio when we draw it at 1/10th normal size?

1500 : 2000 | = 1500 : 2000 | |

= |

We can make any reduction/enlargement we want that way.

Allie measured her foot and it was 21cm long, and then she measured her Mother's foot, and it was 24cm long. |

"I must have big feet, my foot is nearly as long as my Mom's!"

But then she thought to measure heights, and found she is 133cm tall, and her Mom is 152cm tall.

In a table this is:

Allie | Mom | |

Length of Foot: | 21cm | 24cm |

Height: | 133cm | 152cm |

The "foot-to-height" ratio in fraction style is:

Allie: | Mom: |

We can simplify those fractions like this:

And we get this (please check that the calcs are correct):

"Oh!" she said, "the Ratios are the same".

"So my foot is only as big as it should be for my height, and is not really too big."

You can practice your ratio skills by Making Some Chocolate Crispies

## Ratio Math Problems - Three Term Ratios

In these lessons, we will learn how to solve ratio word problems that involve three terms.

Related Pages Two-Term Ratio Word Problems More Ratio Word Problems Math Word Problems More Algebra Lessons

Ratio problems are word problems that use ratios to relate the different items in the question.

## Ratio problems: Three-term Ratios

Example 1: A special cereal mixture contains rice, wheat and corn in the ratio of 2:3:5. If a bag of the mixture contains 3 pounds of rice, how much corn does it contain?

Step 2: Solve the equation: Cross Multiply

2 × x = 3 × 5 2x = 15

Answer: The mixture contains 7.5 pounds of corn.

Example 2: Clothing store A sells T-shirts in only three colors: red, blue and green. The colors are in the ratio of 3 to 4 to 5. If the store has 20 blue T-shirts, how many T-shirts does it have altogether?

Solution: Step 1: Assign variables: Let x = red shirts y = green shirts

Step 2: Solve the equation: Cross Multiply both equations 3 × 20 = x × 4 60 = 4x x = 15

5 × 20 = y × 4 100 = 4y y = 25

The total number of shirts would be 15 + 25 + 20 = 60

Answer: There are 60 shirts.

How to solve Ratio Word Problems with three terms?

Example: A piece of string that is 63 inches long is cut into 3 parts such that the lengths of the parts of the string are in the ratio of 5 to 6 to 10. Find the lengths of the 3 parts.

How to solve Two Term and Three Term Ratio Problems?

A Ratio compares two things that have the same units A Part to Part Ratio compares one thing to another thing A Part to Total (whole) Ratio compares one thing to the total number

Example: In a class of 30 students, there are 18 girls and 12 boys. What is the ratio of boys to girls? What is the ratio of girls to boys? What is the ratio of girls to total?

We can have a three term ratio of red to blue to green marbles.

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## Problem solving with fractions and ratios

I can use my knowledge of fractions and ratios to solve problems.

## Lesson details

Key learning points.

- Any fraction can be turned into a ratio.
- Moving between fractions and ratios can make a problem easier.
- There can be lots of information, it is important to think about what is required to solve the problem.

## Common misconception

Always dividing the amount by the sum of the 'parts' of the ratio to get one 'part'.

Offer opportunities to match problems to bar models ensure the same numbers are used to highlight the differences.

Proportion - Proportionality means when variables are in proportion if they have a constant multiplicative relationship.

Ratio - A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.

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6 questions.

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## Ratio Questions And Practice Problems: Differentiated Practice Questions Included

Beki Christian

Ratio questions appear throughout middle and high school, building on students’ knowledge year on year. Here we provide a range of ratio questions and practice problems of varying complexity to use with your own students in class or as inspiration for creating your own.

## What is ratio?

Ratio is used to compare the size of different parts of a whole. For example, the total number of students in a class is 30. There are 10 girls and 20 boys. The ratio of girls:boys is 10:20 or 1:2. For every one girl there are two boys.

Ratio Worksheet

Download this quiz to check your students’ understanding of ratios. Features 10 questions with answers to identify areas of strength and support!

## Uses of ratio

You might see ratios written on maps to show the scale of the map or use ratios to determine the currency exchange rate if you are going on vacation to another country.

Ratio will be seen as a topic in its own right as well as appearing within other topics. An example of this might be the area of two shapes being in a given ratio or the angles of a shape being in a given ratio.

## Ratio in Middle School and High School

In middle school, ratio questions will involve writing and simplifying ratios, using equivalent ratios, dividing quantities into a given ratio and will begin to look at solving problems involving ratio. At high school, these skills are recapped and the focus will be more on ratio word problems which will require you to conduct problem solving using your knowledge of ratio.

## Proportion and ratio

Ratio often appears alongside proportion and the two topics are related. Whereas ratio compares the size of different parts of a whole, proportion compares the size of one part with the whole. Given a ratio, we can find a proportion and vice versa.

Take the example of a box containing 7 counters; 3 red counters and 4 blue counters:

The ratio of red counters:blue counters is 3:4.

For every 3 red counters there are four blue counters.

The proportion of red counters is \frac{3}{7} and the proportion of blue counters is \frac{4}{7}.

3 out of every 7 counters are red and 4 out of every 7 counters are blue.

## Direct proportion and inverse proportion

From 7th grade onwards, students learn about direct proportion and inverse proportion. When two things are directly proportional to each other, one can be written as a multiple of the other and therefore they increase at a fixed ratio.

## How to solve a ratio problem

When looking at a ratio problem, the key pieces of information that you need are what the ratio is, whether you have been given the whole amount or a part of the whole and what you are trying to work out.

If you have been given the whole amount you can follow these steps to answer the question:

- Add together the parts of the ratio to find the total number of shares.
- Divide the total amount by the total number of shares.
- Multiply by the number of shares required.

If you have been been given a part of the whole you can follow these steps:

- Identify which part you have been given and how many shares it is worth.
- Use equivalent ratios to find the other parts.
- Use the values you have to answer your problem.

## How to solve a proportion problem

As we have seen, ratio and proportion are strongly linked. If we are asked to find what proportion something is of a total, we need to identify the amount in question and the total amount. We can then write this as a fraction:

Proportion problems can often be solved using scaling. To do this you can follow these steps:

- Identify the values that you have been given which are proportional to each other.
- Use division to find an equivalent relationship.
- Use multiplication to find the required relationship.

## Real life ratio problems and proportion problems

Ratio is all around us. Let’s look at some examples of where we may see ratio and proportion:

## Cooking ratio question

When making yogurt, the ratio of starter yogurt to milk should be 1:9. I want to make 1,000 ml of yogurt. How much milk should I use?

Here we know the full amount – 1,000 ml.

The ratio is 1:9 and we want to find the amount of milk.

- Total number of shares = 1 + 9 = 10
- Value of each share: 1,000 ÷ 10 = 100
- The milk is 9 shares so 9 × 100 = 900

I need to use 900ml of milk.

## Maps ratio question

The scale on a map is 1:10,000. What distance would 3.5cm on the map represent in real life?

Here we know one part is 3.5. We can use equivalent ratios to find the other part.

The distance in real life would be 35,000cm or 350m.

## Speed proportion question

I traveled 60 miles in 2 hours. Assuming my speed doesn’t change, how far will I travel in 3 hours?

This is a proportion question.

- I traveled 60 miles in 2 hours.
- Dividing by 2, I traveled 30 miles in one hour.
- Multiplying by 3, I would travel 90 miles in 3 hours.

## Middle School ratio questions

Ratio is introduced in middle school. Writing and simplifying ratios is explored and the idea of dividing quantities in a given ratio is introduced using proportion word problems such as the question below, before being linked with the mathematical notation of ratio.

Example Middle School worded question

Richard has a bag of 30 sweets. Richard shares the sweets with a friend. For every 3 sweets Richard eats, he gives his friend 2 sweets. How many sweets do they each eat?

## Practice ratio questions for middle school

At this level, ratio questions ask you to write and simplify a ratio, to divide quantities into a given ratio and to solve problems using equivalent ratios. See below the example questions to support test prep.

## Ratio questions for 6th grade

1. In Lucy’s class there are 12 boys and 18 girls. Write the ratio of girls to boys in its simplest form.

The question asks for the ratio of girls to boys, so girls must be first and boys second. It also asks for the answer in its simplest form.

2. The ratio of cups of flour to cups of water in a pizza dough recipe is 9:4. A pizza restaurant makes a large quantity of dough, using 36 cups of flour. How much water should they use?

The ratio of cups of flour to cups of water is 9:4. We have been given one part so we can work this out using equivalent ratios.

## Ratio questions 7th grade

3. The ratio of men to women working in a company is 3:5. What proportion of the employees are women?

In this company, the ratio of men to women is 3:5 so for every 3 men there are 5 women.

This means that for every 8 employees, 5 of them are women.

Therefore \frac{5}{8} of the employees are women.

4. Mac traveled 30 miles in \frac{3}{4} of an hour. Assuming his speed doesn’t change, how far will Mac travel in 1 hour?

We have been given a part so we can work this out using equivalent ratios.

The ratio of miles to hours is 30: \frac{3}{4} .

To create an equivalent ratio, divide each side by the same number. Since we are solving to find how far Mac will travel in 1 hour, divide both sides by \frac{3}{4} .

30: \frac{3}{4}

30 \div \frac{3}{4}: \frac{3}{4} \div \frac{3}{4}

Mac will travel 40 miles in 1 hour.

## Ratio questions 8th grade

While the Common Core State Standards does not explicitly include ratio and proportional relationships in the 8th grade, it may pop up on your own curriculums and offers a good opportunity to revisit and extend their knowledge of ratio and proportion before they enter high school.

5. The angles in a triangle are in the ratio 3:4:5. Work out the size of each angle.

30^{\circ} , 40^{\circ} and 50^{\circ}

22.5^{\circ}, 30^{\circ} and 37.5^{\circ}

60^{\circ} , 60^{\circ} and 60^{\circ}

45^{\circ} , 60^{\circ} and 75^{\circ}

The angles in a triangle add up to 180 ^{\circ} . Therefore 180 ^{\circ} is the whole and we need to divide 180 ^{\circ} in the ratio 3:4:5.

The total number of shares is 3 + 4 + 5 = 12.

Each share is worth 180 ÷ 12 = 15 ^{\circ} .

3 shares is 3 x 15 = 45 ^{\circ} .

4 shares is 4 x 15 = 60 ^{\circ} .

5 shares is 5 x 15 = 75 ^{\circ} .

6. Paint Pro makes pink paint by mixing red paint and white paint in the ratio 3:4.

Colour Co makes pink paint by mixing red paint and white paint in the ratio 5:7.

Which company uses a higher proportion of red paint in their mixture?

They are the same

It is impossible to tell

The proportion of red paint for Paint Pro is \frac{3}{7}

The proportion of red paint for Colour Co is \frac{5}{12}

We can compare fractions by putting them over a common denominator using equivalent fractions

\frac{3}{7} = \frac{36}{84} \hspace{3cm} \frac{5}{12}=\frac{35}{84}

\frac{3}{7} is a bigger fraction so Paint Pro uses a higher proportion of red paint.

## High school ratio questions

At high school, we apply the knowledge that we have of ratios to solve different problems. Ratio can be linked with many different topics, for example similar shapes and probability, as well as appearing as problems in their own right.

## Ratio high school questions (low difficulty)

7. The students in Ellie’s class walk, cycle or drive to school in the ratio 2:1:4. If 8 students walk, how many students are there in Ellie’s class altogether?

We have been given one part so we can work this out using equivalent ratios.

The total number of students is 8 + 4 + 16 = 28

8. A bag contains counters. 40% of the counters are red and the rest are yellow.

Write down the ratio of red counters to yellow counters. Give your answer in the form 1:n.

If 40% of the counters are red, 60% must be yellow and therefore the ratio of red counters to yellow counters is 40:60. Dividing both sides by 40 to get one on the left gives us

Since the question has asked for the ratio in the form 1:n, it is fine to have decimals in the ratio.

9. Rosie and Jim share some sweets in the ratio 5:7. If Jim gets 12 sweets more than Rosie, work out the number of sweets that Rosie gets.

Jim receives 2 shares more than Rosie, so 2 shares is equal to 12.

Therefore 1 share is equal to 6. Rosie receives 5 shares: 5 × 6 = 30.

10. Rahim is saving for a new bike which will cost $480. Rahim earns $1,500 per month. Rahim spends his money on bills, food and extras in the ratio 8:3:4. Of the money he spends on extras, he spends 80% and puts 20% into his savings account.

How long will it take Rahim to save for his new bike?

Rahim’s earnings of $1,500 are divided in the ratio of 8:3:4.

The total number of shares is 8 + 3 + 4 = 15.

Each share is worth $ 1,500 ÷ 15 = £100 .

Rahim spends 4 shares on extras so 4 × $ 100 = $400 .

20% of $400 is $80.

The number of months it will take Rahim is $ 480 ÷ $ 80 = 6

## Ratio GCSE exam questions higher

11. The ratio of milk chocolates to white chocolates in a box is 5:2. The ratio of milk chocolates to dark chocolates in the same box is 4:1.

If I choose one chocolate at random, what is the probability that that chocolate will be a milk chocolate?

To find the probability, we need to find the fraction of chocolates that are milk chocolates. We can look at this using equivalent ratios.

To make the ratios comparable, we need to make the number of shares of milk chocolate the same in both ratios. Since 20 is the LCM of 4 and 5 we will make them both into 20 parts.

We can now say that milk to white to dark is 20:8:5. The proportion of milk chocolates is \frac{20}{33} so the probability of choosing a milk chocolate is \frac{20}{33} .

12. In a school the ratio of girls to boys is 2:3.

25% of the girls have school dinners.

30% of the boys have school dinners.

What is the total percentage of students at the school who have school dinners?

In this question you are not given the number of students so it is best to think about it using percentages, starting with 100%.

100% in the ratio 2:3 is 40%:60% so 40% of the students are girls and 60% are boys.

25% of 40% is 10%.

30% of 60% is 18%.

The total percentage of students who have school dinners is 10 + 18 = 28%.

13. For the cuboid below, a:b = 3:1 and a:c = 1:2.

Find an expression for the volume of the cuboid in terms of a.

If a:b = 3:1 then b=\frac{1}{3}a

If a:c = 1:2 then c=2a.

## Ratio high school questions (average difficulty)

14. Bill and Ben win some money in their local lottery. They share the money in the ratio 3:4. Ben decides to give $40 to his sister. The amount that Bill and Ben have is now in the ratio 6:7.

Calculate the total amount of money won by Bill and Ben.

Initially the ratio was 3:4 so Bill got $3a and Ben got $4a. Ben then gave away $40 so he had $(4a-40).

The new ratio is 3a:4a-40 and this is equal to the ratio 6:7.

Since 3a:4a-40 is equivalent to 6:7, 7 lots of 3a must be equal to 6 lots of 4a-40.

The initial amounts were 3a:4a. a is 80 so Bill received $240 and Ben received $320.

The total amount won was $560.

15. On a farm the ratio of pigs to goats is 4:1. The ratio of pigs to piglets is 1:6 and the ratio of goats to kids is 1:2.

What fraction of the animals on the farm are babies?

The easiest way to solve this is to think about fractions.

\\ \frac{4}{5} of the animals are pigs, \frac{1}{5} of the animals are goats.

\frac{1}{7} of the pigs are adult pigs, so \frac{1}{7} of \frac{4}{5} is \frac{1}{7} \times \frac{4}{5} = \frac{4}{35}

\frac{6}{7} of the pigs are piglets, so \frac{6}{7} of \frac{4}{5} is \frac{6}{7} \times \frac{4}{5} = \frac{24}{35}

\frac{1}{3} of the goats are adult goats, so \frac{1}{3} of \frac{1}{5} is \frac{1}{3} \times \frac{1}{5} = \frac{1}{15}

\frac{2}{3} of the goats are kids, so \frac{2}{3} of \frac{1}{5} is \frac{2}{3} \times \frac{1}{5} = \frac{2}{15}

The total fraction of baby animals is \frac{24}{35} + \frac{2}{15} = \frac{72}{105} +\frac{14}{105} = \frac{86}{105}

## Looking for more middle school and high school ratio math questions?

- Algebra questions
- Probability questions
- Trigonometry questions
- Venn diagram questions
- Long division questions
- Pythagorean theorem questions

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40 \div 8=5 40 ÷ 8 = 5. Then you multiply each part of the ratio by 5. 5. 3\times 5:5\times 5=15 : 25 3 × 5: 5 × 5 = 15: 25. This means that Charlie will get 15 15 sweets and David will get 25 25 sweets. There can be ratio word problems involving different operations and types of numbers.

A ratio is a comparison of two quantities. A proportion is an equality of two ratios. To write a ratio: Determine whether the ratio is part to part or part to whole. Calculate the parts and the whole if needed. Plug values into the ratio. Simplify the ratio if needed.

To solve a problem involving ratios and fractions, you may be given the ratio close ratio A part-to-part comparison. or the fraction close fraction The result of one integer divided by another. It ...

Ratio problem solving is a collection of word problems that link together aspects of ratio and proportion into more real life questions. This requires you to be able to take key information from a question and use your knowledge of ratios (and other areas of the curriculum) to solve the problem. ... Ratios and fractions confusion; Take care ...

Do you want to learn how to compare and measure different quantities using ratios and rates? Khan Academy's pre-algebra course offers you a comprehensive introduction to these concepts, with interactive exercises and videos. You will also learn how to use proportions to solve word problems and graph proportional relationships. Join Khan Academy and start your journey to master ratios and rates!

Using Ratios. The trick with ratios is to always multiply or divide the numbers by the same value. Example: A Recipe for pancakes uses 3 cups of flour and 2 cups of milk. So the ratio of flour to milk is 3 : 2. To make pancakes for a LOT of people we might need 4 times the quantity, so we multiply the numbers by 4: 3 ×4 : 2 ×4 = 12 : 8.

Ratio Problems: Two-Term Ratios. Example 1: In a bag of red and green sweets, the ratio of red sweets to green sweets is 3:4. If the bag contains 120 green sweets, how many red sweets are there? Solution: Step 1: Assign variables: Let x = number of red sweets. Write the items in the ratio as a fraction. Step 2: Solve the equation. Cross Multiply

Unit test. Level up on all the skills in this unit and collect up to 1,400 Mastery points! Ratios let us see how two values relate, especially when the values grow or shrink together. From baking recipes to sports, these concepts find their way into our lives on a daily basis.

These Ratio Worksheets will produce problems where the students must write simple fractions, rates, and unit rates from word phrases. These ratio worksheets will generate 16 Ratio and Rate problems per worksheet. These Ratio Worksheets are appropriate for 3rd Grade, 4th Grade, 5th Grade, 6th Grade, and 7th Grade. Ratios and Rates Word Problems ...

Practice Questions. Previous: Percentages of an Amount (Non Calculator) Practice Questions. Next: Rotations Practice Questions. The Corbettmaths Practice Questions on Ratio.

Ratio Problems: relation different things in terms of ratios, How to solve Ratio Word Problems with three terms, with video lessons, examples and step-by-step solutions. Ratio Math Problems - Three Term Ratios ... Write the items in the ratios as fractions. Step 2: Solve the equation: Cross Multiply both equations 3 × 20 = x × 4 60 = 4x x ...

6 Questions. Q1. Fill in the missing word: Variables are in proportion if they have a multiplicative relationship. constant. Q2. Select the bar model that is correctly labelled to solve this problem: Sam and Jacob share some stickers in the ratio of 3 : 7. Sam get 168 less than Jacob.

Ratio Fraction Problems Name: _____ Instructions • Use black ink or ball-point pen. • Answer all questions. • Answer the questions in the spaces provided - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. • You must ...

TEACHING MATH. Algebra Puzzles. Strategic Multiplication. Fraction Tasks. Problem Solving. 3rd Grade Math. Visual Math Tools. Model Word Problems. Play Thinking Blocks Ratios at Math Playground - Model and solve word problems with ratio and proportion.

The ratio 3 to 5 or 3/5 is the same thing as 12 to 20, is the same thing as 24 to 40, is the same thing as 48 to 80. Let's make sure we got the right answer. Let's do a couple more of these. The following table shows equivalent fractions to 27/75. So then they wrote all of the different equivalent fractions.

The Corbettmaths Textbook Exercise on Ratio: Problem Solving. Welcome; Videos and Worksheets; Primary; 5-a-day. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths ... Ratio: Problem Solving Textbook Exercise. Click here for Questions. Textbook Exercise. Previous: Ratio: Difference Between Textbook Exercise. Next: Reflections Textbook ...

Add together the parts of the ratio to find the total number of shares. Divide the total amount by the total number of shares. Multiply by the number of shares required. Total number of shares = 1 + 9 = 10. Value of each share: 1,000 ÷ 10 = 100. The milk is 9 shares so 9 × 100 = 900. I need to use 900ml of milk.

Ratio Worksheets. Columns: Rows: (These determine the number of problems) Level: Level 1: write a ratio. Level 2: write a ratio and simplify it. Numbers used (only for levels 1 & 2): Range from to with step. Level 3: word problems.

This Fraction, Percentage, and Ratio Problems worksheet is designed for Year 9, 10, and 11 students for solving problems involving fractions, percentages of amounts, and sharing amounts in given ratios, providing a solid foundation for GCSE exam preparation.

Join this channel to get access to perks:https://www.youtube.com/channel/UCStPzCGyt5tlwdpDXffobxA/joinA video revising the techniques and strategies for solv...

The ratio calculator performs three types of operations and shows the steps to solve: Simplify ratios or create an equivalent ratio when one side of the ratio is empty. Solve ratios for the one missing value when comparing ratios or proportions. Compare ratios and evaluate as true or false to answer whether ratios or fractions are equivalent.

November 5, 2020. Students are challenged to solve a range of problems involving arithmetic with fractions. There are five problems that link to ratio, probability, mean averages and money. Begin Lesson. Download Worksheet.

Definition: A comparison between quantities using division. Examples : 3:2 , 3:2:88, 3 to 2, 3 to 2 to 88. A 2 to 5 ratio can be represented as 2:5. A ration between X and Y can be written. X/Y. X:Y. X to Y. MEDIUM SAT PROBLEM#8 out of a 25 problem section. A bucket holds 4 quarts of popcorn.

Our math problem solver that lets you input a wide variety of math math problems and it will provide a step by step answer. This math solver excels at math word problems as well as a wide range of math subjects. ... Operations with Fractions; Ratios, Proportions, Percents; Measurement, Area, and Volume; Factors, Fractions, and Exponents; Unit ...

Solve problems by using a proportional relationship between quantities, calculating or using a ratio or rate, and/or using units, derived units, and unit conversion. This skill may also test your ability to work with scale drawings and problems in natural and social sciences. ... Domain: Problem-Solving and Data Analysis Skill: Ratios, rates ...

Equivalent ratio word problems. A fruit basket is filled with 8 bananas, 3 oranges, 5 apples, and 6 kiwis. Complete the ratio. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education ...

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Next: Ratio: Sharing the Total Textbook Exercise GCSE Revision Cards. 5-a-day Workbooks

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