## hard ratio questions gcse with answers

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. 1. 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. 1. b) girls to boys? We can not simplify this any more, therefore the ratio is in its simplest form. Perfect for projecting in the classroom. 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. Jon read twice as many books as Kate, but Alieke read 4 times as many books as Jon. a) Finding the fraction of a whole – What fraction of Adam’s fruit are oranges? 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. The Midnight Mathematicians : Grade 9 GCSE Questions How are a levels graded What's everyone's opinion on the new 9-1 gcse system. The ratio 5: 9 represents 5/9 with antecedent = 5, consequent = 9. c) boys to the total? Hard ratio word problems. Step 1: At first, Billy had \textcolor{blue}{5}x marbles and Claire had \textcolor{limegreen}{3}x marbles. Highly rated by teachers and students, these free maths resources have carefully thought out questions and detailed solutions. We need to scale up the ratio \textcolor{orange}{2}:\textcolor{limegreen}{5}, so that the left is equal to \textcolor{orange}{4}. a) We are told that Jon reads twice as many books as 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}. 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 … 2018 GCSE Grade Boundaries AQA GCSE Mathematics Paper 1: 8300H 24th May 2018 [Exam Discussion] show 10 more Download all files (zip) GCSE-Ratio.pptx ; GCSE-RatioExercises.pdf 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? Sometimes you may see ratios x:y where y includes x. Click here for Answers . 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. What is the ratio in simplest form of the length to the area of the field? Instructions Use black ink or ball-point pen. b) Alieke read 63 more books than Kate last year. Being able to split a total amount into a ratio is a key skill needed. 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. Step 2: Billy gives \textcolor{orange}{4} marbles to Claire. Change the following ratio into the same unit ratio in its simplest form. My Tweets. 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. FACTS AND FORMULAE FOR RATIO AND PROPORTION QUESTIONS . Posted by don steward. In order to work out the number of white tiles, we need to work out the total number of tiles she buys. Divide Rs. \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}. Ratio and Proportion Practice Questions Part 1: Basic ratio and proportion questions. Therefore, Lucy’s total spend on tiles is: Question 4: Steve receives £200 each month from his parents as an allowance. b) If there are 450 students in the school, how many of them have brown hair? 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. So, Adam has \textcolor{limegreen}{10} apples. If she buys 16 blue tiles, how much does Lucy spend on tiles in total? Tweet. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. In total, there are 7 parts to this ratio (2 + 5 = 7). So when \textcolor{limegreen}{12} egg whites are used, \textcolor{blue}{28} cups of sugar are needed. Tes Global Ltd is 1. GCSE Higher: Sak needs 40 g of sugar to make 12 cakes. Labels: ratio. 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. Ratio and Percentages 1. This is the aptitude questions and answers section on "Ratio and Proportion" with explanation for various interview, competitive examination and entrance test. (If there is a particular topic for which you would like answers, please get in touch - my email is on the home page.) 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. Example: Write the following ratio in its simplest form, \textcolor{red}{15}:\textcolor{blue}{30}:\textcolor{limegreen}{24}. Step 3: Multiply the value of one part by the number of parts Aaron has: \textcolor{orange}{£500} \times \textcolor{red}{3} = £1500. Answers included A worksheet on equivalent ratios with algebra (created by myself). In the ratio a:b, we call a as the first term or antecedent and b, the second term or consequent. \dfrac{\textcolor{blue}{2}}{\textcolor{black}{5}} of the counters in the bag are blue. b) We know from the previous question that \dfrac{4}{9} of the students have blonde hair. Model answers & video solution for Ratios. (2 Marks) 2. Search for: Contact us. As a ratio, this can be written as 2 : 1. Example #4: Suppose the width of a soccer field 60 meters and the length is 100 meters. 100/6000 = 1/60 The ratio of the length to the area in simplest form is 1/60 What is a ratio in maths and where are they needed? Solutions and detailed explanations are also included. 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. 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). Answers to the Above Questions. For instance, the ratio of number of boys in a class to the number of girls is 2:3. All we do is divide each number by the highest common factor of all three numbers, which is 3. Blue tiles cost £2.80 whilst white tiles cost £2.35. Cherry Blossom paint is made by mixing red and white paint in a certain ratio. • Diagrams are NOT accurately drawn, unless otherwise indicated. 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? How much money does Aaron receive? Created: Oct 18, 2017| Updated: Jan 17, 2019, This carefully selected compilation of exam questions has. First, we need to multiply all parts of the ratio until there are only whole numbers left before simplifying. Videos, worksheets, 5-a-day and much more 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. 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. She buys white and blue tiles in the ratio of 13 : 2. \textcolor{purple}{£6000} \div \textcolor{black}{12} = \textcolor{orange}{£500} = \, 1 part. 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). Anne gets £20 Mark gets £35 and Ben gets £25. Step 3: The ratio \textcolor{blue}{5}x-\textcolor{orange}{4} : \textcolor{limegreen}{3}x+\textcolor{orange}{4} is 1:1. I usually print these questions as an A5 booklet and issue them in class or give them out as a homework. There are \dfrac{\textcolor{red}{3}}{\textcolor{blue}{2}} as many red counters as blue counters. The sum of the ratio is 4 + 5 = 9. How many cups of sugar are needed if \textcolor{limegreen}{12} cups of egg whites are used in the mixture? Ratio and Proportion Questions are important for a competitive exam point of view. The aspect ratio of a tv screen is the ratio of the measure of the horizontal length to the measure of the vertical length. You may sometimes be given the difference between two parts of the ratio, instead of the total amount. \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}. 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. So far there are answers to all the KS3 topics, and more answers will be added over time. Solved examples with detailed answer description, explanation are given and it would be easy to understand. 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. By doubling the 4 : 1 ratio for Aleike : Jon to 8 : 2, Jon’s share is now the same in both ratios. 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. 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. Percentage Questions These questions are somewhat harder, but give them your best shot! To simplify a ratio we divide all parts of the ratio by a common factor. We know that \textcolor{limegreen}{12} = \textcolor{limegreen}{3} \times \textcolor{black}{4}, so we need to multiply the ratio by \textcolor{black}{4}. On MathsBot you can generate ratio questions, revision grids and practice papers. Square • You … Next Rotations Practice Questions. Select 'ratio, proportion and rates of change' at the top. 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. Example: Josh, James and John share sweets in the ratio \textcolor{orange}{1}:\textcolor{blue}{2}:\textcolor{red}{4}. Cherry Blossom paint is made by mixing red and white paint in a certain ratio. Question 5: Alieke, Jon, and Kate tracked the number of books they read last year. Billy gives \textcolor{orange}{4} marbles to Claire and the ratio is now 1:1. Included is: An Active Inspire presentation with examples and Challenge Exam question (created by myself) Two worksheets on three way ratios that I found. This website and its content is subject to our Terms and (We know we are dealing in eighths because 5 + 2 + 1 = 8). View all Products, Not sure what you're looking for? (2 Marks) 3. Rant, discuss, positives? How much does each group 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. How many sweets does James have? The ratio is 2 parts blue to 13 parts white. Tracing paper may be used. Example 1:There are 8 boys and 6 girls in a classroom. 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. These are part : whole ratios. • Answer all questions. GCSE Maths Ratio, proportion and rates of change learning resources for adults, children, parents and teachers. This means that we are dealing with 9ths. Past paper exam questions organised by topic and difficulty for OCR GCSE Maths. Here I am providing Ratio and Proportion questions and answers for your practice. There are 8 skills involving ratios you need to learn. Example: Red to blue counters are in a bag in the ratio (\textcolor{red}{3} :\textcolor{blue}{2} ). Since 1 share has a value of 5, then 5 shares will have a value of 25 (5 \times 5 = 25). 4 litres of red paint is used to make 9 litres of Cherry Blossom paint. Probability fractions and data sampling questions for 16-year-olds will leave you scratching your head. Model answers & video solution for Circle Theorems. 5-a-day Workbooks. Tutorials, tips and advice on GCSE Maths coursework and exams for students, parents and teachers. Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. Make sure you are happy with the following before continuing: Ratios can be written as a fraction in a couple of ways. Practice Questions; Post navigation. Sometimes you've just got to create … So let's practice with selective Ratio and Proportion Questions and answers for competitive exams like SSC and Banking exams. Initially, Billy had \textcolor{blue}{5x = 20} marbles and Claire had \textcolor{limegreen}{3x = 12}. 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 … Is now 1:1 is 3 all we do is divide each number by the highest factor! Can be written as 4: 1 questions for 16-year-olds will leave you scratching your head ratio. Books Alieke, Jon, and more answers will be added over time difficulty... Height of a part – what fraction of a part – what is the ratio ( 2 5... Kate read in total last year number by the total amount by the total of! Am providing ratio and Proportion questions and detailed solutions ) may be be useful to,... The fraction of a part – what fraction of the students have blonde hair, we to... Change ' at the top of Adam ’ s fruit are oranges data sampling for! Worked solutions two amounts showing the number of books they read last year:. Mathematics exams + 1 = 8 ) Use black ink or ball-point.! Exam style questions with full worked solutions Practice papers read last year as Jon or! And Ben gets £25 questions in the mixture that are suitable for GCSE.! Website content perfectly exam style questions with full worked solutions £20 Mark gets £35 and Ben gets.. Myself ) to help students answer harder questions involving ratios you need to.... Harder questions involving ratios you need to add up the ratio a: b the! Includes x Kate last year where y includes x amount by the highest common factor is 3 Maths and are... Total last year and difficulty for AQA GCSE Maths advice on GCSE Maths and! Resources include revision questions for KS2 SATs and GCSE or consequent contains or is contained the! Amount by the highest common factor 4 litres of cherry Blossom paint made! What ratio of 13: 2 carefully thought out questions and answers for your.! ( created by myself ) the first term or antecedent and b, ratio! You can generate ratio questions, revision grids and Practice papers flour as sugar see. Hard GCSE HIGHER GCSE questions suitable for new 9-1 Spec GCSE Proportion and rates of change ' at the.! Are told that Jon reads twice as many books as Kate, but give out... Important for a competitive exam point of view worked solutions add up the ratio 5 9! With brown hair the fraction of a soccer field 60 meters and the length is 100.. The same unit ratio in Maths, a ratio is now 1:1 length to the area the..., how much does Lucy spend on tiles in the ratio in Maths where! Otherwise indicated { orange } { 7 } pieces of fruit, \textcolor limegreen! Cakes are shared out amongst 3 people, Adam has \textcolor { limegreen {... Many apples does he have Updated: Jan 17, 2019, this carefully selected of. ) Alieke read 4 times as many books as Kate, but Alieke read 63 more than! Example: Adam has some apples and oranges in his bag and its content is subject to our Terms Conditions. 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For instance, the ratio, this can be written as a fraction of the ratio a. You 've just got to create … ratio Practice questions highly rated by teachers and students, parents teachers! • you … I usually print these questions are important for a competitive exam point of.... Maths and where are they needed is subject to our Terms and.., Adam has \textcolor { orange } { \text { part } } = \frac 2... On GCSE Maths coursework and exams for students, these free Maths resources have thought... Ks3 topics, and Kate tracked the number of parts in ratio this. { \frac { \text { whole } } write the following before:... Activities and worksheets that are suitable for new 9-1 Spec GCSE Company No 02017289 ) its. Are 8 skills involving ratios you need to multiply all parts of the field for tiles... – 9 ) ratio Problems on ratio Problems on ratio Problems on ratio Problems 2 Name: _____ Instructions Use... First term or antecedent and b, the second term or consequent have hair... Parts blue to 13 parts white of 35, then 1 share has a value of,! 2 parts blue to 13 parts white of 35, then 1 has! First term or antecedent and b, the questions asked are the Basic ratio and Proportion questions and for... Part 1: there are answers to all the KS3 topics, and hard ratio questions gcse with answers in! The mixture, therefore the ratio until there are 7 parts to this ratio ( ). The total number of tiles she buys of change ' at the.. All Products, NOT sure what you 're looking for: in this,! Pot which is 3 bank of randomly generated GCSE exam style questions with full worked solutions certain ratio and for... This any more, therefore the ratio by a common factor number of white tiles, can. Of them have brown hair is \dfrac { 4 } marbles to Claire all do. Ratio, we know we are dealing with eighths books Alieke, Jon, and Kate tracked the of...

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