There is £80 in a pot which is shared out amongst 3 people. We can not simplify this any more, therefore the ratio is in its simplest form. b) Finding the ratio of a part – What is the ratio of oranges to apples? Solution a) The ratio … 1. First, we need to multiply all parts of the ratio until there are only whole numbers left before simplifying. Now, Billy has \textcolor{blue}{5}x-\textcolor{orange}{4} marbles and Claire has \textcolor{limegreen}{3}x+\textcolor{orange}{4}. Rant, discuss, positives? Ratios are a way of expressing one thing compared to another, if x:y is in the ratio of 1:2 this means y is twice the size of x. Mathematics / Number / Ratio and proportion, GCSE 9-1 Exam Question Practice (Vectors), GCSE 9-1 Exam Question Practice (Trigonometry), GCSE 9-1 Exam Question Practice (3D Pythagoras + Trigonometry), Maths Working Wall - Focus - reasoning KS2, AQA Entry Level 1 Maths -Ratio - Fractions, Entry Level 1 Maths - Addition / Number Bonds to 10. Question 1: In a school, the ratio of the number of students with blonde hair to the number of students with brown hair is 4:5. a) What fraction of students have blonde hair? In this ratio, the share is 8 parts to 1 part, so we can conclude that the difference between the ratio share is 7 parts (8 - 1 = 7). Highly rated by teachers and students, these free maths resources have carefully thought out questions and detailed solutions. To reduce a ratio to the form 1:n or n:1, all you have to do is divide the whole ratio by the smallest number. Ratio and Proportion Questions are important for a competitive exam point of view. \textcolor{purple}{£6000} \div \textcolor{black}{12} = \textcolor{orange}{£500} = \, 1 part. To scale a ratio we multiply by a common factor. Cherry Blossom paint is made by mixing red and white paint in a certain ratio. So when \textcolor{limegreen}{12} egg whites are used, \textcolor{blue}{28} cups of sugar are needed. Tweet. For every \textcolor{orange}{2} oranges there are \textcolor{limegreen}{5} apples, \text{\textcolor{Orange}{oranges} : \textcolor{limegreen}{apples}} = \textcolor{orange}{2} : \textcolor{limegreen}{5}. b) If there are 450 students in the school, how many of them have brown hair? The past paper questions (PPQs) may be be useful to students, since they have worked solutions. (We know we are dealing in eighths because 5 + 2 + 1 = 8). Download all files (zip) GCSE-Ratio.pptx ; GCSE-RatioExercises.pdf How much money does Aaron receive? a) Write down a ratio of the number of books read by Alieke to the number of books read by Jon to the number of books read by Kate. By adding up the ratio, we know that the total number of shares is 11 (8 + 2 + 1 = 11), so the total number of books read can be calculated as follows: 11 \times 9\text{ books} = 99\text{ books}. All we do is divide each number by the highest common factor of all three numbers, which is 3. 5-a-day Workbooks. They are designed to make it easy for students to take the first steps in each topic, then strengthen and extend their knowledge and skills. As a result, there will be questions within your GCSE maths exam where you will be required to use ratios in order to share out amounts of money or other items: 100/6000 = 1/60 The ratio of the length to the area in simplest form is 1/60 Ex. Can YOU answer these fiendishly hard GCSE questions? So let's practice with selective Ratio and Proportion Questions and answers for competitive exams like SSC and Banking exams. Select 'ratio, proportion and rates of change' at the top. In this ratio, the share is 8 parts to 1 part, so we can conclude that the difference between the ratio share is 7 parts (8 - 1 = 7). • You … Therefore, the number of white tiles she buys is: Now that we know how many tiles of each colour she has bought, we can calculate the total cost of the tiles. 2018 GCSE Grade Boundaries AQA GCSE Mathematics Paper 1: 8300H 24th May 2018 [Exam Discussion] show 10 more These are part : whole ratios. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. The second one is really challenging. How many cups of sugar are needed if \textcolor{limegreen}{12} cups of egg whites are used in the mixture? GCSE Maths Ratio, proportion and rates of change learning resources for adults, children, parents and teachers. If the difference in the ratio share is 7 parts, and the difference in the number of books read is 63, then we can work out the number of books read that 1 share of the ratio represents: 63 \div 7 = 9\text{ books} Search for: Contact us. Example: Write the following ratio in its simplest form, \textcolor{red}{15}:\textcolor{blue}{30}:\textcolor{limegreen}{24}. A growing bank of randomly generated GCSE exam style questions with full worked solutions. 1870 in three parts such that half of the first part, one-third of the second part and one-sixth of the third part are equal. How much does each group get? Josh has \textcolor{limegreen}{9} sweets less than John. By doubling the 4 : 1 ratio for Aleike : Jon to 8 : 2, Jon’s share is now the same in both ratios. Covers all aspects of the GCSE 2017+ specification, including simplifying ratios, ratio problems where the total, difference or one of the parts is given, subdividing ratios, combining ratios, and problems involving changing ratios. Since 1 share has a value of 5, then 5 shares will have a value of 25 (5 \times 5 = 25). The ratio of oranges to fruit in his bag is \textcolor{orange}{2}:\textcolor{blue}{7}. • Answer the questions in the spaces provided – there may be more space than you need. b) We know from the previous question that \dfrac{4}{9} of the students have blonde hair. Step 3: The ratio \textcolor{blue}{5}x-\textcolor{orange}{4} : \textcolor{limegreen}{3}x+\textcolor{orange}{4} is 1:1. Harder problems involving ratios 1 Harder problems involving ratios 2 Harder problems involving ratios 3 Solve ratio problems using algebra The sum of the ratio is 4 + 5 = 9. 100 HARD GCSE HIGHER GCSE QUESTIONS Suitable for new 9-1 Spec GCSE . ... Scroll down for answers … \textcolor{purple}{£6000} \div \textcolor{black}{12} = \textcolor{orange}{£500} = \, \textcolor{orange}{1}:\textcolor{blue}{2}:\textcolor{red}{4}, \textcolor{limegreen}{9} \, \text{sweets} = \text{John's sweets} - \text{Josh's sweets} = \textcolor{red}{4} \, \text{parts} - \textcolor{orange}{1} \, \text{part} = 3 \, \text{parts}, \text{James' sweets} = \textcolor{blue}{2} \, \text{parts} = \textcolor{blue}{2} \times \textcolor{purple}{3} \, \text{sweets} = \bf{6 \, \text{sweets}}, \textcolor{blue}{5}:\textcolor{limegreen}{3}, \textcolor{blue}{5}x-\textcolor{orange}{4}, \textcolor{limegreen}{3}x+\textcolor{orange}{4}, \textcolor{blue}{5}x-\textcolor{orange}{4} : \textcolor{limegreen}{3}x+\textcolor{orange}{4}. Hello dear students ,आज हम आपके लिए बहुत महत्वपूर्ण Ratio And Proportion Questions With Answers PDF के लेकर आये है हमारी वेबसाइटों www.update24hour.com पे यहाँ पे … Created: Oct 18, 2017| Updated: Jan 17, 2019, This carefully selected compilation of exam questions has. I usually print these questions as an A5 booklet and issue them in class or give them out as a homework. As a ratio, this can be written as 4 : 1. If the number of blue tiles she buys is 8 times more than the blue tiles figure given in the ratio, then the number of white tiles she buys must also be 8 times more than the white tiles figure in the ratio. GCSE Revision Cards. We know that \textcolor{limegreen}{12} = \textcolor{limegreen}{3} \times \textcolor{black}{4}, so we need to multiply the ratio by \textcolor{black}{4}. There are \dfrac{\textcolor{red}{3}}{\textcolor{blue}{2}} as many red counters as blue counters. 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. For instance, the ratio of number of boys in a class to the number of girls is 2:3. Step 1: Find the total number of parts in the ratio: \textcolor{red}{3}+\textcolor{limegreen}{4}+\textcolor{blue}{5} = \textcolor{black}{12} parts. Step 1: Firstly, work out how many parts of the ratio \textcolor{limegreen}{9} sweets makes up: \textcolor{limegreen}{9} \, \text{sweets} = \text{John's sweets} - \text{Josh's sweets} = \textcolor{red}{4} \, \text{parts} - \textcolor{orange}{1} \, \text{part} = 3 \, \text{parts}. What is a ratio in maths and where are they needed? Included is: An Active Inspire presentation with examples and Challenge Exam question (created by myself) Two worksheets on three way ratios that I found. (Reference : Oxford dictionary) Notation: Ratio of two values a and b is written as a:b or a/b or a to b. In order to work out the number of white tiles, we need to work out the total number of tiles she buys. How many sweets did each have initially? Practice Questions; Post navigation. www.justmaths.co.uk Ratio 1 (H) - Version 2 January 2016 Ratio 1 (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. You may sometimes be given the difference between two parts of the ratio, instead of the total amount. Example: Red to blue counters are in a bag in the ratio (\textcolor{red}{3} :\textcolor{blue}{2} ). 1 – Dividing in a ratio Without realizing, you use ratios every day in order to divide and share out amounts fairly. Answers to the Above Questions. My Tweets. www.justmaths.co.uk Ratio 1 (H) - Version 2 January 2016 Ratio 1 (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Since the ratio share for blond students is 4, this means that the fraction of blonde students is \dfrac{4}{9}. 1. Cherry Blossom paint is made by mixing red and white paint in a certain ratio. Read our guide, (\textcolor{red}{3} :\textcolor{blue}{2} ), \dfrac{\textcolor{red}{3}}{\textcolor{blue}{2}}, \dfrac{\textcolor{blue}{2}}{\textcolor{red}{3}}, \dfrac{\textcolor{blue}{2}}{\textcolor{black}{5}}, \textcolor{red}{15}:\textcolor{blue}{30}:\textcolor{limegreen}{24}, \textcolor{limegreen}{3}:\textcolor{blue}{7}, \textcolor{limegreen}{12} = \textcolor{limegreen}{3} \times \textcolor{black}{4}, \textcolor{orange}{2}:\textcolor{blue}{7}, \textcolor{blue}{7} - \textcolor{orange}{2} = \textcolor{limegreen}{5}, \textcolor{orange}{2}:\textcolor{limegreen}{5}, \textcolor{red}{3}:\textcolor{limegreen}{4}:\textcolor{blue}{5}, \textcolor{red}{3}+\textcolor{limegreen}{4}+\textcolor{blue}{5} = \textcolor{black}{12}. GCSE (1 – 9) Ratio Problems 2 Name: _____ Instructions • Use black ink or ball-point pen. The ratio 5: 9 represents 5/9 with antecedent = 5, consequent = 9. Click here for Answers . Labels: ratio. The Corbettmaths Practice Questions on Compound Interest. harder GCSE ratio questions a collection the powerpoint is here Jo Morgan (resourceaholic) presents a good overview of ratio questions and how to approach them here see also the collections of ratio questions for three of the GCSE exam boards AQA Edexcel OCR. Divide Rs. registered in England (Company No 02017289) with its registered office at 26 Red Lion If the difference in the ratio share is 7 parts, and the difference in the number of books read is 63, then we can work out the number of books read that 1 share of the ratio represents: If one share of the ratio represents 7 books read, we can now work out how many books were read in total by the three people. 20 \% of £200 can be calculated as follows: You may prefer to calculate the 20% in your head: Steve therefore has £160 pounds remaining which he spends on sweets, football stickers and fizzy drinks in the ratio of 5 : 2 : 1. There are \dfrac{\textcolor{blue}{2}}{\textcolor{red}{3}} as many blue counters as red counters. Ratio Practice Questions Click here for Questions . Model answers & video solution for Ratios. Alternatively, we can write either part as a fraction of the total i.e. Ratio and Proportion Practice Questions Part 1: Basic ratio and proportion questions. a) Finding the fraction of a whole – What fraction of Adam’s fruit are oranges? c) Finding the missing amount – Adam has \textcolor{orange}{4} oranges, how many apples does he have? a) We are told that Jon reads twice as many books as Kate. Model answers & video solution for Circle Theorems. Exam-Style Questions on Ratio Problems on Ratio adapted from questions set in previous Mathematics exams. \dfrac{\textcolor{blue}{2}}{\textcolor{black}{5}} of the counters in the bag are blue. What is the ratio in simplest form of the length to the area of the field? So, Adam has \textcolor{limegreen}{10} apples. Step 1: At first, Billy had \textcolor{blue}{5}x marbles and Claire had \textcolor{limegreen}{3}x marbles. One Tuesday afternoon a couple of years ago I sat in my classroom wondering why strong pupils often went to bits towards then end of a GCSE paper. We know from the ratio that the share he spends on football stickers is 5, meaning that Steve spends \frac{5}{8} of the remaining allowance on football stickers. Answers included These sub topics are new to the GCSE 9-1. Step 2: Divide the total amount by the total number of parts in ratio, this finds the value of 1 part. View all Products, Not sure what you're looking for? This website and its content is subject to our Terms and Questions 7 - 10 are for Intermediate and Higher tier The length of a piece of wood is in direct proportion to its weight. We are also told that Alieke reads 4 times as many books as Jon. 1. c) boys to the total? So we multiply the ratio by \textcolor{black}{2}. Step 2: Billy gives \textcolor{orange}{4} marbles to Claire. Example 1:There are 8 boys and 6 girls in a classroom. Write the following ratio in its whole number simplest form. 200 cakes are shared out in a ratio of 1:2:3 in to groups a, b and c respectively. d) girls to the total? Probability fractions and data sampling questions for 16-year-olds will leave you scratching your head. \dfrac{\textcolor{blue}{5}x-\textcolor{orange}{4}}{\textcolor{limegreen}{3}x+\textcolor{orange}{4}} = \dfrac{1}{1}, \begin{aligned} (\textcolor{blue}{5}x-\textcolor{orange}{4})& = (\textcolor{limegreen}{3}x+\textcolor{orange}{4}) \\ \textcolor{blue}{5}x &= \textcolor{limegreen}{3}x+\textcolor{orange}{8} \\ 2x &= \textcolor{orange}{8} \\ x &= 4 \end{aligned}. (2 Marks) 2. Therefore, Lucy’s total spend on tiles is: Question 4: Steve receives £200 each month from his parents as an allowance. So far there are answers to all the KS3 topics, and more answers will be added over time. Make sure you are happy with the following before continuing: Ratios can be written as a fraction in a couple of ways. If ratios have different units, we need to convert one of the units to the other, then simplify the ratio to its simplest form. Check them out below. Therefore, the fraction of students with brown hair is \dfrac{5}{9}. \large{\frac{\text{part}}{\text{whole}} = \frac{2}{7}}. By adding up the ratio, we know that we are dealing with eighths. • Answer all questions. a) In order to work out the fraction of students that have blonde hair, we need to add up the ratio parts. To work out the total cost of the tiles Lucy buys, we need to work out how many white tiles she buys. If a piece of wood is 30 cm, it weighs 150 g. RATIO: The ratio of two quantities a and b in the same units, is the fraction a/b and we write it as a:b. Example: Aaron, Kim and Paul split \textcolor{purple}{£6000} in the ratio of \textcolor{red}{3}:\textcolor{limegreen}{4}:\textcolor{blue}{5}. Sometimes you may see ratios x:y where y includes x. If there is a total of 450 students in the school, we need to work out what \dfrac{5}{9} of 450 is: Question 2: Divide 35 in the ratio 2 : 5. Solutions and detailed explanations are also included. • Diagrams are NOT accurately drawn, unless otherwise indicated. In the ratio a:b, we call a as the first term or antecedent and b, the second term or consequent. GCSE Higher: Sak needs 40 g of sugar to make 12 cakes. Worked Examples. Tutorials, tips and advice on GCSE Maths coursework and exams for students, parents and teachers. (If there is a particular topic for which you would like answers, please get in touch - my email is on the home page.) FACTS AND FORMULAE FOR RATIO AND PROPORTION QUESTIONS . Tes Global Ltd is The resources include revision questions for KS2 SATs and GCSE. Find the horizontal length and vertical height of a tv screen with an aspect ratio of 4:3 and a diagonal of 50 inches. Work out how many books Alieke, Jon, and Kate read in total last year. How many sweets does James have? Here I am providing Ratio and Proportion questions and answers for your practice. This is the aptitude questions and answers section on "Ratio and Proportion" with explanation for various interview, competitive examination and entrance test. Ratio Word Problems: relating different things using ratios and algebra, how to solve ratio word problems that have two-term ratios or three-term ratios, How to solve proportion word problems, questions and answers, with video lessons, examples and step-by-step solutions. b) girls to boys? If 7 shares have a value of 35, then 1 share has a value of 5 (35 \div 7 = 5). How much does Steve spend on football stickers? On MathsBot you can generate ratio questions, revision grids and practice papers. Blue tiles cost £2.80 whilst white tiles cost £2.35. We have a range of learning resources to compliment our website content perfectly. Square Previous Percentages of an Amount (Non Calculator) Practice Questions. Anne gets £20 Mark gets £35 and Ben gets £25. She buys white and blue tiles in the ratio of 13 : 2. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. Since 1 share has a value of 5, then 2 shares will have a value of 10 (2 \times 5 = 10). Solved examples with detailed answer description, explanation are given and it would be easy to understand. If she buys 16 blue tiles, how much does Lucy spend on tiles in total? Percentage Questions These questions are somewhat harder, but give them your best shot! Ratio and Percentages 1. Videos, games, activities and worksheets that are suitable for GCSE Maths to help students answer harder questions involving ratios. The Midnight Mathematicians : Grade 9 GCSE Questions How are a levels graded What's everyone's opinion on the new 9-1 gcse system. b) Alieke read 63 more books than Kate last year. Question 5: Alieke, Jon, and Kate tracked the number of books they read last year. Edexcel GCSE Mathematics (Linear) – 1MA0 RATIO Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Change the following ratio into the same unit ratio in its simplest form. By clicking continue and using our website you are consenting to our use of cookies in accordance with our Cookie Policy, Book your GCSE Equivalency & Functional Skills Exams, Not sure what you're looking for? Hard ratio word problems. This means that we can express this is a 3-way ratio as follows: b) We are told that Alieke read 63 more books than Kate last year, and we know from the previous part of the question that the Alieke : Kate reading ratio is 8 : 1. The ratio is 2 parts blue to 13 parts white. Sometimes you've just got to create … 1. In maths, a ratio is used to compare quantities. Example: Meringue is made by mixing cups of egg whites and cups of sugar in the ratio \textcolor{limegreen}{3}:\textcolor{blue}{7}. Example: Adam has some apples and oranges in his bag. Answers included A worksheet on equivalent ratios with algebra (created by myself). Being able to split a total amount into a ratio is a key skill needed. Posted by don steward. There are 8 skills involving ratios you need to learn. Question 3: Lucy is tiling her bathroom. To simplify a ratio we divide all parts of the ratio by a common factor. As a ratio, this can be written as 2 : 1. He also needs four times as much flour as sugar and twice as much butter as sugar. The actual amount that Steve spends on football stickers can be calculated as follows: \dfrac{5}{8} \times \pounds160 = \pounds100. Videos, worksheets, 5-a-day and much more I also make them available for a student who wants to do focused independent study on a topic.--If you like this resource, then please rate it and/or leave a comment. Solution: The area of the field is 60 × 100 = 6000 The ratio of the length to the area is 100 to 6000, 100:6000 or 100/6000. 4 litres of red paint is used to make 9 litres of Cherry Blossom paint. Step 3: Multiply by the number of parts James has to find how many sweets he has: You need to be prepared for questions where the ratio changes. Instructions Use black ink or ball-point pen. For every \textcolor{blue}{7} pieces of fruit, \textcolor{orange}2 of these are oranges. Initially, Billy had \textcolor{blue}{5x = 20} marbles and Claire had \textcolor{limegreen}{3x = 12}. Example: Josh, James and John share sweets in the ratio \textcolor{orange}{1}:\textcolor{blue}{2}:\textcolor{red}{4}. Example: Billy and Claire share marbles in the ratio \textcolor{blue}{5}:\textcolor{limegreen}{3}. What is the ratio of a) boys to girls? Step 3: Multiply the value of one part by the number of parts Aaron has: \textcolor{orange}{£500} \times \textcolor{red}{3} = £1500. Billy gives \textcolor{orange}{4} marbles to Claire and the ratio is now 1:1. If Lucy buys 16 blue tiles, this is 8 times more than the figure for blue tiles in the ratio (16\div2=8). In total, there are 7 parts to this ratio (2 + 5 = 7). (2 Marks) 3. 1. London WC1R 4HQ. Directions: In this section, the questions asked are the basic ratio and proportion questions that can be asked in the exam. This means that we are dealing with 9ths. What ratio of the money do all of the people get? \textcolor{orange}{2} out of every \textcolor{blue}{7} pieces of fruit are oranges, so \textcolor{blue}{7} - \textcolor{orange}{2} = \textcolor{limegreen}{5} out of every \textcolor{blue}{7} pieces of fruit are apples. 4 litres of red paint is used to make 9 litres of Cherry Blossom paint. Tracing paper may be used. Perfect for projecting in the classroom. Conditions. We need to scale up the ratio \textcolor{orange}{2}:\textcolor{limegreen}{5}, so that the left is equal to \textcolor{orange}{4}. The aspect ratio of a tv screen is the ratio of the measure of the horizontal length to the measure of the vertical length. The first thing we need to do is to deduct the 20 \% spent on the magazine subscription so that we can work out how much of his allowance Steve has left over. Choose between single or split screen mode for … Next Rotations Practice Questions. The issue we have now is that in the Jon : Kate ratio, Jon’s share is 2, while in the Alieke : Jon ratio, Jon’s share is 1. MathsWatch Worksheets HIGHER Questions and Answers 62 Recipe type ratio questions F and H D 57 63 Hard calculator questions F and H D 58 64 Real-life money questions F and H D 59 65 Generate a sequence from the nth term F and H D 60 66 Substitution F and H D … Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. arrow_back Back to Proportion (best value, recipes, exchange rates etc) Proportion (best value, recipes, exchange rates etc): Worksheets with Answers. 20 \% of this amount is spent on his football magazine subscription, and the rest he spends on football stickers, sweets and fizzy drinks in the ratio of 5 : 2 : 1. \textcolor{limegreen}{9} \, \text{sweets} \div 3 = \textcolor{purple}{3} \, \text{sweets}, \textcolor{purple}{3} \text{ sweets } = 1 \text{ part }. Past paper exam questions organised by topic and difficulty for OCR GCSE Maths. Example #4: Suppose the width of a soccer field 60 meters and the length is 100 meters. Jon read twice as many books as Kate, but Alieke read 4 times as many books as Jon. Primary Study Cards. Diagrams are NOT accurately drawn, unless otherwise indicated question 5: 9 represents 5/9 with antecedent 5... Sometimes be given the difference between two parts of the length is 100 meters ratio is a key needed! Carefully thought out questions and answers for your Practice point of view got create. And vertical height of a tv screen with an aspect ratio of a soccer field hard ratio questions gcse with answers meters and the of... Do all of the students have blonde hair, we need to work hard ratio questions gcse with answers! Fraction of students that have blonde hair are somewhat harder, but give your... 100 meters see ratios x: y where y includes x to 13 white... Do all of the ratio is used to compare quantities c respectively of extra practise, is. 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