corbettmaths problem solving ratio

Sharing between a Ratio

Example 1: Abbie and Ben share £120 in the ratio 2:1 Work out how much each of them get.

The first step is to work out how many equal parts there are. The ratio is 2:1 so there are 3 (2 + 1) equal parts

We now need to work out how much each of the parts is worth We divide the £120 between the 3 parts £120 ÷ 3 = £40 Each part is worth £40

Now we can work out how much Abbie and Ben get Abbie has 2 parts so she gets £80 (2 × £40) Ben has one part which is worth £40

You may find it useful to draw a diagram for ratio questions

Abbie has 2 parts and Ben has 1 part, we could represent this as 2 boxes for Abbie and 1 box for Ben:

Each box must have the same amount in it and the total in all 3 boxes must be £120. We share £120 out evenly between the boxes (£120 ÷ 3 = £40)

We can see that Abbie gets £80 (£40 + £40) and Ben gets £40

Example 2: A, B and C share £240 in the ratio 4:3:1 Work out how much each of them get.

4 + 3 + 1 = 8 There are 8 equal parts

£240 ÷ 8 = £30 Each part is worth £30

A gets 4 × £30 = £120 B gets 3 × £30 = £90 C gets 1 × £30 = £30

Example 3: A and B share some money in the ratio 5:2 A gets £40 Work out how much B gets.

In this example we have not been given the total amount. We have been given the amount that A gets

A has £40 and that is 5 parts

Each part much be equal so each part is worth £40 ÷ 5 £40 ÷ 5 = £8

Each part is worth £8 and B has two parts £8 × 2 = £16

Example 4: C and D share some money in the ratio 3:5 The difference between the amount C gets and the amount D gets is £18 Work out how much each of them get.

In this example we have been given the difference between the amounts of money C and D get.

The difference between 3 parts and 5 parts is 2 parts. (5 − 3 = 2) 2 parts must be worth £18 £18 ÷ 2 = £9

Each part is worth £9

C gets 3 × £9 = £27 D gets 5 × £9 = £45

15 Ratio Questions And Practice Problems (KS3 & KS4): Harder GCSE Exam Style Questions Included

Sophie Bessemer

Ratio questions appear throughout KS3 and KS4 building on what students have learnt in primary school. 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, in a whole class of 30 students 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.

Uses of ratio

You might see ratios written on maps to show the scale of the map or telling you the currency exchange rate if you are going on holiday.

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 KS3 and KS4

In KS3, 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. In KS4 these skills are recapped and the focus will be more on problem solving questions using your knowledge of ratio.

Download this 15 Ratio Questions And Practice Problems (KS3 & KS4) Worksheet

Help your students prepare for their Maths GSCE with this free Ratio worksheet of 15 multiple choice questions and answers.

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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

In KS4, we 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

Ratio tables are another technique for solving ratio problems.

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 yoghurt, the ratio of starter yogurt to milk should be 1:9. I want to make 1000ml of yoghurt. How much milk should I use?

Here we know the full amount – 1000ml.

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: 1000 ÷ 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 1:10000. 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 35000cm or 350m.

Speed proportion question

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

KS2 ratio questions

Ratio is introduced in KS2. Writing and simplifying ratios is explored and the idea of dividing quantities in a given ratio is introduced using word problems such as the question below, before being linked with the mathematical notation of ratio.

Example KS2 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?

KS3 ratio questions

In KS3 ratio questions ask you to write and simplify a ratio, to divide quantities into a given ratio and to solve problems using equivalent ratios.

Ratio questions year 7

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

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

2. Gertie has two grandchildren, Jasmine, aged 2, and Holly, aged 4. Gertie divides £30 between them in the ratio of their ages. How much do they each get?

Jasmine £15, Holly £15

Jasmine £15, Holly £7.50

Jasmine £10, Holly £20

Jasmine £2, Holly £4

£30 is the whole amount.

Gertie divides £30 in the ratio 2:4.

The total number of shares is 2 + 4 = 6.

Each share is worth £30 ÷ 6 = £5.

Jasmine gets 2 shares, 2 x £5 = £10.

Holly gets 4 shares, 4 x £5 = £20.

Ratio questions year 8

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

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

Ratio questions year 9

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.

KS4 ratio questions

In KS4 we apply the knowledge that we have of ratios to solve different problems. Ratio is an important topic in all exam boards, including Edexcel, AQA and OCR. Ratio questions can be linked with many different topics, for example similar shapes and probability, as well as appearing as problems in their own right.

Read more: Question Level Analysis Of Edexcel Maths Past Papers (Foundation)

Ratio GCSE exam questions foundation

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: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: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 £1500 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 £1500 are divided in the ratio of 8:3:4.

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

Each share is worth £1500 ÷ 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:white chocolates in a box is 5:2. The ratio of milk chocolates: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:white: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: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.

GCSE Ratio question higher - answer - temp

Difficult ratio GCSE questions

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:goats is 4:1. The ratio of pigs:piglets is 1:6 and the ratio of gots: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}

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15 Pythagoras Theorem Questions And Practice Problems (KS3 & KS4)

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Ratio & Basic Proportion (Including Conversions)

Prior Content: Basic Operations +-x/ , Using a Calculators/ BIDMAS

Possible Next Steps: Direct & Inverse Proportion , Compound Measures , Similar Shapes , Vectors , Pie Charts , Basic Trigonometry

1.1 Simplifying & Equivalent Ratios

1.2.1 basic direct proportion, 1.2.2 converting money & best buys, 1.3.1 metric & imperial units, 1.3.2 conversions (metric), 1.3.3 conversions (non-metric), 1.4 map ratios & scale drawings, 2.1 basic inverse proportion, 3.1 dividing into a ratio, 3.2 dividing when given an amount within a ratio, 3.3 working with changing ratios, 3.4 questions in context (fdpr), 4.1 converting units between dimensions, whole topic summary resources (including past paper questions), teaching videos, exercises & activities, tutorial videos.

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196 Write a Ratio in its Simplest Form.
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20 December 2017

New gcse: ratio.

Mel from JustMaths collated ratio Higher GCSE questions from sample and specimen papers here , and has written up her solutions here .
If you subscribe to MathsPad then you'll be pleased to hear that they have lovely resources for ratio including a set of questions for Higher GCSE with loads of examples like the problems I've featured in this post.
Don Steward has plenty of ratio tasks including his set of ' Harder Ratio Questions ' and a really helpful collection of GCSE ratio and proportion questions .
On MathsBot you can generate ratio questions, revision grids and practice papers. Select 'ratio, proportion and rates of change' at the top.
There are exam style questions in this collection from Lucy Kilgariff on TES.
OCR has a 'Calculations with Ratio' Topic Check In and AQA has a Ratio and Proportion Topic Test .
David Morse of Maths4Everyone has shared a set of revision exercises and ratio exam style questions .

20 comments:

My ratio pages don't get much attention - not sure why since I think they're instructive and easy to use. They don't support the particular type of harder questions described in the post (but I'll look to add something along those lines), but they do help understanding the concept of a ratio and it's utility. Manipulation of ratio quantities: http://thewessens.net/ClassroomApps/Main/ratios.html?topic=number&path=Main&id=7 Introduction to the ratio concept: http://www.thewessens.net/blog/2015/03/19/ratios-the-super-fractions/ Bar model visualisation of ratios: http://thewessens.net/ClassroomApps/Models/BarModels/visualfractionratio.html?topic=models&path=Models&id=17 Multiplicative word problems: http://thewessens.net/ClassroomApps/Models/BarModels/multiplicationwordproblems.html?topic=models&path=Models&id=8 Ken

Fantastic! Thanks Ken.

Thanks so much for your blog on ratio question types. Although I've been a maths teacher/tutor for over 30 year, ratio has always been a bug bear for me. I could wing it with old style gcse because I learnt the types of solutions required, however I have been stressed on the new types. This blog has made me think through ratios and I am certainly a lot happier. Bryan

Excellent, I'm so pleased it helps.

On your fractions approach, a quick trick is to realise that a/c = a/b x b/c. Makes it quite quick to work out (That is, if the students are good with cancelling down when multiplying). However, what I find confuses students about writing ratios as fractions is that it confuses the part:part idea of a ratio with the part:whole idea of a fraction. Perhaps that's why it's somewhat counter-intuitive. Also, final point is that ratios (fractions) and vectors is another application of harder ratio questions that often pops up on the new GCSE. Thanks for the post, Farah

Thanks for the comment!

This is a fabulous resource on work that is missing from the new GCSE texts that I have seen. Lovely challeging questions to make students think.

Thanks! Glad it's helpful.

I've been using equivalent ratios for these type of questions. Find what doesn't change - the total number of sweets. Write ratios as equivalent ratios where the parts that doesn't change are the same. 3:7 has 10 parts, 3:5 has 8 parts LCM of 8 and 10 is 40 Ratios are 12:28 and 15:25 Number of sweets given is 3. Also works for following question Ratio of blue to red counters in a bag is 1:2, I add 12 blue counters and the ratio is 5:7. How many red counters are in the bag? What doesn't change? Red counters LCM of 2 and 7 is 14 Ratios are 7:14 and 10:14 3 parts are 12 counters, 1 part is 4 counters and 14 parts are 56 red counters. Also Jill is 4 times older than Jack. In 14 years time the ratio of Jack's age to Jill is 5:7. How old is Jill now? Ratios are 1:4 and 5:7. What doesn't change? The difference between their ages Find two equivalent ratios where difference between them is the same. 4 - 1 = 3 and 7 - 5 = 2 LCM of 2 and 3 is 6 Equivalent ratios are 2:8 and 15:21 13 parts = 26 years, 1 part is 2 years, Jill is 16.

This is the approach I use. I think it's logical.

Thank you! Yes, this is logical. Same approach as bar modelling (but without the visual).

Oops, my mistake, third example should be .....in 26 years time the ratio of their ages is 5:7 ..... I did try to represent these using bar modelling at first but struggled to find a model that was intuitive and actually helped with the question. I would be grateful if anyone has ideas on this.

Although some bar modelling experts would disagree, I don't think bar modelling is intuitive/helpful for harder ratio questions. Bar modelling is fantastic for easier ratio questions, but when the questions get more complicated it's often really hard to figure out how to draw the scenario - definitely not as easy as some people make out!

Thank you for the post. Brilliant as usual. I actually did the sweets question in my class once. I simply said that Alice fraction of sweets changed from 7/10 to 5/8 when she gave the 3 sweets away. If we just subtract those fractions, the fraction remaining, 7/10 - 5/8 = 3/40. This means that Alice originally had 40 sweets.

Hadnt considered tis method but I love it

Thanks Stephen. I guess it makes sense, as the fraction lost is equivalent to the 3 sweets divided by the total.

Love this! Thanks for sharing.

Hi Jo, thanks for the post which I came across via a tweet you put out a couple of days ago - which also tied in with a question and the same method I saw in my step-daughters book the very next day - freaky! It is a more compact method than I would normally use in my teaching and will be switching to it. I think the only tweak I might make is to write the algebra ratio above the numeric one so the starting fractions are (7x-3)/5 : (3x+3)/3 The reason being that some students might get a little scared seeing algebra as part of the denominator but less so when faced with a number.

Good idea - thank you!

Hi Jo, One method I use when teaching questions like the first one above (Alice gives 3 sweets to Olivia) is the following. To begin with Alice has 7/10 of the sweets and then after giving three to Olivia, her share has reduced to 5/8 of the sweets. So Alice's share has reduced by (7/10 - 5/8=) 3/40 which is equivalent to 3 sweets, therefore there must be 40 sweets in total. Students can then proceed in answering the relevant question. I must admit I only use this method with the top sets.

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Proportion word problems

/4/8 , /3/x , /x/8 , /3/4 ,

/4/8 , /3/x , /x/8 , /3/4

It is very important to notice that if the ratio on the left is a ratio of number of liters of water to number of lemons, you have to do the same ratio on the right before you set them equal.

/Number of liters of water/Number of liters of water

/3/x

/w/w

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Ratio Practice Questions
The Corbettmaths Practice Questions on Ratio. Previous: Percentages of an Amount (Non Calculator) Practice Questions
Ratio: Problem Solving Textbook Exercise
The Corbettmaths Textbook Exercise on Ratio: Problem Solving. Previous: Ratio: Difference Between Textbook Exercise
PDF Ratio Solving Problems 1
Ratio: Problem Solving Video 271e on www.corbettmaths.com Question 25: A cone has radius 4cm and perpendicular height of 9cm. A sphere has a radius of 6cm Calculate the ratio of the volume of the cone to the volume of the sphere. Question 26: On 1st March 2001, the ratio of Freddie's age to his mother's age was 1:11
Expressing Ratios as Fractions or Percentages
This video explains how to express ratios as either fractions or percentages. It goes through several GCSE style questions.Textbook Exercises: https://corbet...
Ratio Problem Solving
Ratio problem solving GCSE questions. 1. One mole of water weighs 18 18 grams and contains 6.02 \times 10^ {23} 6.02 × 1023 water molecules. Write this in the form 1gram:n 1gram: n where n n represents the number of water molecules in standard form. (3 marks) Show answer. 2.
Ratio Problem Solving
Ratio problem solving is a collection of ratio and proportion 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. ...
Maths Genie • Sharing an amount between a given Ratio
Sharing between a Ratio. Example 1: Abbie and Ben share £120 in the ratio 2:1. Work out how much each of them get. The first step is to work out how many equal parts there are. The ratio is 2:1 so there are 3 (2 + 1) equal parts. We now need to work out how much each of the parts is worth. We divide the £120 between the 3 parts.
Ratio Problem Solving
Sharing an amount in a given ratio Further problems involving ratio include Ratios where you are given the difference between the two parts. E.g., Kerry is given $30 more than Kacey who is given $50; Ratios where one quantity is given and you have to find the other quantity. E.g., Kerry and Kacey are sharing money in the ratio 8 : 5, Kacey gets $50
Ratio: Problem Solving Textbook Answers
Click here for Answers. . answers. Previous: Ratio: Difference Between Textbook Answers. Next: Reflections Textbook Answers. These are the Corbettmaths Textbook Exercise answers to Ratio: Problem Solving.
15 Ratio Questions & Practice Problems
In KS3 ratio questions ask you to write and simplify a ratio, to divide quantities into a given ratio and to solve problems using equivalent ratios. You may also like: Year 6 Maths Test; Year 7 Maths Test; Year 8 Maths Test; Year 9 Maths Test; Ratio questions year 7. 1. In Lucy's class there are 12 boys and 18 girls.
Proportion Questions
Proportion Questions - Corbettmaths Primary. Home. Videos and Worksheets. 5-a-day. Study Cards.
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Ratio: Problem Solving Video 271e on corbettmaths Question 5: The sizes of the interior angles of a triangle are in the ratio 1:3: Calculate the difference in size between the largest and smallest angles. Question 6: Mr Rodgers is organising a trip to a football match for 84 children. The ratio of teachers on the trip to children on the trip is 1:
Ratio & Basic Proportion (Including Conversions)
Problem Solving (Bar Modelling) ppt; Worksheets. Dr Austin Maths Fractions and Ratio Worded Problems Practice Strips (Editable Word | PDF | Answers) Fractions, Ratio and Percentages Worded Problems Grid (Editable Word | PDF | Answers) Corbettmaths Problem Solving Worksheet & Solutions; k5learning.com Worksheets
Resourceaholic: New GCSE: Ratio
Write ratios as equivalent ratios where the parts that doesn't change are the same. 3:7 has 10 parts, 3:5 has 8 parts LCM of 8 and 10 is 40 Ratios are 12:28 and 15:25 Number of sweets given is 3. Also works for following question Ratio of blue to red counters in a bag is 1:2, I add 12 blue counters and the ratio is 5:7.
Ratio: Two Ratios Textbook Exercise
The Corbettmaths Textbook Exercise on Ratio: Two Ratios. Welcome; Videos and Worksheets; Primary; 5-a-day. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths ... Books; Ratio: Two Ratios Textbook Exercise. Click here for Questions . Textbook Exercise. Previous: Ratio: Given One Quantity Textbook Exercise. Next: Ratio: Difference Between ...
Ratio Questions involving Differences
This video explains 3 techniques to solve questions involving differences. Textbook Exercise: https://corbettmaths.com/wp-content/uploads/2019/03/Ratio-Difference-pdf.pdf
Ratio Videos
The Corbettmaths videos on ratio. Welcome; Videos and Worksheets; Primary; 5-a-day. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. Further Maths ... Expressing a Ratio as a fraction or percentage. Expressing a Ratio in the form 1:n. Ratio - Differences. Given two ratios. Videos. Previous: Percentages Practice Questions. Next ...
Proportion Word Problems
Proportion word problems. There are lots of situations that can create proportion word problems. We will illustrate these situations with some examples. Problem # 1. Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons. Set up the ratios, but make sure that the two ratios are written in the same ...
Ratio Problem Solving
Find the ratio of the number in group A to the number in group C. Find the total number of people who work for the company. Questions and model answers on Ratio Problem Solving for the Edexcel GCSE Maths syllabus, written by the Maths experts at Save My Exams.
Mathematics Problem-Solving: Ratios, Equations, and Graphs
View Higher-Plus-Ans-Nov.pdf from MATHEMATICS ALL at Highland High School. 1st November Higher Plus 5-a-day Josie writes down the number a Corbettmoths "googol." She has written the digit one
PDF Ratio: Problem Solving Apply
Ratio: Problem Solving Apply Question 1: (a) 2:3 (b) 31:37 Question 2: 36 Question 3: £11.96 Question 4: 1161 Question 5: 105° Question 6: 84/6=14 14 is 1 part of the ratio Therefore, there are 14 teachers In total there are 84 + 14 = 98 passengers Each bus holds 30, therefore 4 buses are needed. Question 7: £3.96 Question 8: £24