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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? GCSE Revision Cards. Write the items in the ratio as a fraction. Practice L1 Ratio and Proportion questions. With notes for those that are teaching Functional Maths. 2.40 the number of girls is, Step (i): Let x be the number of boys and y be the number of girls. \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}. (v) Operating Ratio (vi) Stock turnover Ratio Gross Profit Ratio =Gross Profit/ Sales * 100 = 2,00,000 / 500000 * 100 Expenses Ratio =Individual Expenses / Sales ” Most Important Ratio & Proportion Question PDF with Answers“ Ratio & Proportion Plays a vital role in Advance Maths & Quantitative Aptitude Section. Access the answers to hundreds of Financial ratio questions that are explained in a way that's easy for you to understand. What is Sumit's salary? 3x respectively. Example: Adam has some apples and oranges in his bag. As a ratio, this can be written as 2 : 1. 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. This means that we are dealing with 9ths. 16 x 11 = 176. Step 3: Multiply the value of one part by the number of parts Aaron has: \textcolor{orange}{£500} \times \textcolor{red}{3} = £1500. How much does Sara get? This is the aptitude questions and answers section on "Ratios and Proportion " with detailed explanation for various interview, competitive examination and entrance test. Answer: Number of litres of sugar solution in the mixture = (1/(1+2)) *45 = 15 litres. Financial analysis is the process of using ﬁ nancial information to assist in investment and ﬁ nancial decision making. FREE (12) Popular paid resources. If a: b = c: d, we write, a: b :: c : d and we say that a, b, c, d are in proportion . If they add up to your original total, you know they are correct. Ratio Practice Questions Click here for Questions . 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? How many sweets did each have initially? PROPORTION : The equality of two ratios is called proportion. 1162 among A, B, C in the ratio 35 : 28 : 20. a=500.b=390,c=240. (i) COMPARISON OF RATIOS : We say that (a: b) > (c: d) ⇔ (a/b)>(c /d). What is the amount of sugar solution to be added if the ratio has to be 2:1? So, the duplicate ratio of 5 : 6 is 25 : 36. How many cups of sugar are needed if  \textcolor{limegreen}{12} cups of egg whites are used in the mixture? Practice L1 Ratio and Proportion questions. Access the answers to hundreds of Ratio test questions that are explained in a way that's easy for you to understand. Step 1: At first, Billy had \textcolor{blue}{5}x marbles and Claire had \textcolor{limegreen}{3}x marbles. Also, 4: 6 = 2: 3. By adding up the ratio, we know that we are dealing with eighths. Domain and range of rational functions. 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. Click here for Answers . \textcolor{purple}{£6000} \div \textcolor{black}{12} = \textcolor{orange}{£500} = \, 1 part. Ratio & Proportion Questions is an an essential part for Competitive Exams like Banking, Insurance, SSC and Railways Exams. Get help with your Ratio test homework. In every exam you will get at least 3-4 questions from this topic. Quantity of alcohol = (4 x 2.5) litres = 10 litres. Simplifying. To do that, you are required to quickly navigate between ratios, fractions, decimals and percentages, converting between the different represe… Ratio Analysis - Finance (MCQ) Questions and answers Home >> Category >> Finance (MCQ) Questions and answers >> Ratio Analysis 1) Determine Debtors turnover ratio if, closing debtors is Rs 40,000, Cash sales is 25% of credit sales and excess of closing debtors over opening debtors is … Let the original salaries of Ravi and Sumit be Rs. You may sometimes be given the difference between two parts of the ratio, instead of the total amount. Therefore, Lucy’s total spend on tiles is: Question 4: Steve receives £200 each month from his parents as an allowance. The questions from this topic is a very common occurrence. Related Topics: More Algebra Lessons Ratio problems: Three-term Ratios. 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}. Save complete. Question: Change the following ratio into the same unit ratio in its simplest form. Example 1: A special cereal mixture contains rice, wheat and corn in the ratio of 2:3:5. So candidates must focus on this topic and download this Ratio & Proportion pdf to get important questions with best In addition, you will learn market-based ratios that provide insight about what the market for shares and bonds believes about future prospects of the ﬁ rm. In the ratio a:b, we call a as the first term or antecedent and b, the second term or consequent. quiz which has been attempted 9025 times by avid quiz takers. However, after school resumes in January, 6 new boys and 4 new girls came to the class. (iv) … 5-a-day Workbooks. Question 11: £2.64. Try this amazing Math Quiz: Ratio And Proportion Practice Paper Questions! Let the quantity of alcohol and water be 4x litres and 3x litres respectively. … Updated 10/09/2009. Margin of safety ratio… Since the ratio share for blond students is 4, this means that the fraction of blonde students is \dfrac{4}{9}. To scale a ratio we multiply by a common factor. Worksheet name: SAVE. There are 600 pupils in a school. Ratio problems are word problems that use ratios to relate the different items in the question. Problems of three difficulty levels are given with detailed solution description, explanation, … If 7 shares have a value of 35, then 1 share has a value of 5 (35 \div 7 = 5). A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. \textcolor{limegreen}{9} \, \text{sweets} \div 3 = \textcolor{purple}{3} \, \text{sweets}, \textcolor{purple}{3} \text{ sweets } = 1 \text{ part }. b) Finding the ratio of a part – What is the ratio of oranges to apples? If Rs. Example: Write … … Remember that equivalent ratios are ratios which all have the same meaning. These past paper questions help you to master the 11+ Exam Maths Questions… 10 problems. (iv) Sub-triplicate ratio of (a : b) is a13: b13. Since 1 share has a value of 5, then 2 shares will have a value of 10 (2 \times 5 = 10). (ii) COMPOUNDED RATIO : The compounded ratio of the ratios (a: b), (c: d), (e : f)  is    (ace: bdf). Free help from wikiHow. 3. How many girls and … 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. So we multiply the ratio by \textcolor{black}{2}. If a bag of the mixture contains 3 pounds of rice, how much corn does it contain? If she buys 16 blue tiles, how much does Lucy spend on tiles in total? To help your Year 6 child practice and prepare for the next key stage, you can use our Ratio and Proportion Worksheet Pack that’s specifically tailored to Year 6 pupils. Get help with your Financial ratio homework. Save failed. Ratio and proportion shortcuts. Josh has \textcolor{limegreen}{9} sweets less than John. Converting repeating decimals in to fractions. ratio and proportion questions answers mcq of quantitative aptitude are useful for it officer bank exam, ssc, ibps and other competitive exam preparation 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. 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. Here a and d are called extremes, while b and c are called mean terms. Previous Percentages of an Amount (Non Calculator) Practice Questions. Ratio problem solving for 9-1 GCSE with 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}. However, after school resumes in January, 6 new boys and 4 new girls came to the class. Discuss. Therefore, the correct answer is: 11 apples cost 176p or £1.76. 2x and Rs. I usually print these questions as an A5 booklet and issue them in class or give them out as a homework. View all Products, Not sure what you're looking for? Then, first number = 120% of x =120x/100 = 6x/5, Second number =150% of x = 150x/100 = 3x/2 Ratio of first two numbers = 6x/5 : 3x/2 = 12x : 15x = 4 : 5. Example: Meringue is made by mixing cups of egg whites and cups of sugar in the ratio \textcolor{limegreen}{3}:\textcolor{blue}{7}. Primary Study Cards. Salaries of Ravi and Sumit are in the ratio 2:3. Bear in mind that ratios and fractions can both be simplified by finding common factors. Therefore, mastering ratios is extremely important for succeeding on numerical reasoning tests. Ex. Question : 10 Find the triplicate ratio of 2 : 3. To keep the proportions correct, we need to multiply both parts of the ratio by the required number – in this case, 11. Submitted by Maggie Harnew on 24 March 2004. 312 3.60x + 2.40y = 312 -------------- (ii) Step (iii): Solving (i) and (ii) 3.60x + 3.60y = 360 --------- Multiply (i) by 3.603.60x + 2.40y = 312 --------- (ii) 1.20y = 48 y = 48 / 1.20 = 40  Number of girls = 40. Compounded Ratio :: When we compound two or more ratio's with each other through product or multiplication, the result is simply a compound ratio. Example #6: Suppose a math class starts at the beginning of the school year with 12 boys and 8 girls. Find here an unlimited supply of worksheets with simple word problems involving ratios, meant for 6th-8th grade math. We can not simplify this any more, therefore the ratio is in its simplest form. FACTS AND FORMULAE FOR RATIO AND PROPORTION QUESTIONS . In maths, a ratio represents a comparison between two or more quantities, indicating how their sizes relates to one another. Now, Billy has \textcolor{blue}{5}x-\textcolor{orange}{4} marbles and Claire has \textcolor{limegreen}{3}x+\textcolor{orange}{4}. So, 45-15 = 30 litres of salt solution is present in it. (i) Fourth Proportional : If a : b = c: d, then d is called the fourth proportional to a, b, c. (ii) Third Proportional : If a: b = b: c, then c is called the third proportional to a and b. There are 600 pupils in a school. How many sweets does James have? You now have a ratio that you can use to find your answer: 1:16. (V) If ab=cd, thena+ba-b=c+dc-d (Componendo and dividendo), (i) We say that x is directly proportional to y, if x = ky for some constant k and we write, x∝y, (ii) We say that x is inversely proportional to y, if xy = k for some constant k and we write, x∝1y. Alex and Sara share $$\pounds{600}$$ in the ratio $${2:3}$$. Solving a Ratio and Proportion is basically based on practice as much you will practice different types of questions that much will be familiar to ratio and proportion problems. Like fractions, you can simplify a ratio by dividing it by the highest common factor. If you have difficulty answering the following questions, learn more about this topic by reading our Financial Ratios … So when \textcolor{limegreen}{12} egg whites are used, \textcolor{blue}{28} cups of sugar are needed. In level 2, the problems are the same but the ratios are supposed to be simplified. 5. Calculators may be used. Example 1: A special cereal mixture contains rice, wheat and corn in the ratio of 2:3:5. The compounded ratio of (2 : 3), (6: 11) and (11 :2) is. All we do is divide each number by the highest common factor of all three numbers, which is 3. These are part : whole ratios. Billy gives \textcolor{orange}{4} marbles to Claire and the ratio is now 1:1. 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. If 5 liters of water is added to the mixture, the ratio becomes 4: 5. The ratio is 2 parts blue to 13 parts white. The ratio of oranges  to fruit in his bag is \textcolor{orange}{2}:\textcolor{blue}{7}. (i) Duplicate ratio of (a : b) is a2:b2. c) Finding the missing amount – Adam has \textcolor{orange}{4} oranges, how many apples does he have? Select 'ratio, proportion and rates of change' at the top. There are 8 skills involving ratios you need to learn. Check them out below. To work out the total cost of the tiles Lucy buys, we need to work out how many white tiles she buys. Three part ratios (a:b:c). b) Alieke read 63 more books than Kate last year. Answer : Duplicate ratio of 5 : 6 is = 5 2: 6 2 = 25 : 36. Example: Red to blue counters are in a bag in the ratio (\textcolor{red}{3} :\textcolor{blue}{2} ). Graphing rational functions with holes. Must Practice 11 Plus (11+) Ratio and Proportion Past Paper Questions. Answer : Triplicate ratio of 2 : 3 is = 2 3: 3 3 = 8 : 27. Ratio problems that involve a bit of thinking, such as combining ratios. For every \textcolor{blue}{7} pieces of fruit, \textcolor{orange}2 of these are oranges. Question 9: 18 boys study Spanish. Sometimes you may see ratios x:y where y includes x. \dfrac{\textcolor{blue}{2}}{\textcolor{black}{5}} of the counters in the bag are blue. Divide Rs. In addition, you will learn market-based ratios that provide insight about what the market for shares and bonds believes about future prospects of the ﬁ rm. Report Error Save worksheet. Blue tiles cost £2.80 whilst white tiles cost £2.35. Step 2: Solve the equation Cross Multiply FREE (35) ascj20 Perimeter questions using algebra. (We know we are dealing in eighths because 5 + 2 + 1 = 8). If you have difficulty answering the following questions, learn more about this topic by reading our Financial Ratios … Find the horizontal length and vertical height of a tv screen with an aspect ratio of 4:3 and a diagonal of 50 inches. \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. 4000, the new ratio becomes 40:57. Save worksheet. Perfect for practice for the new GCSE. It is important to have enough practice for this questions to answer them in the exam. You can bake the cupcake recipe together, then your child can answer the questions included on the sheet! Ratios can be simplified and, in most cases, it is preferable to give a simplified ratio as an answer. (iii)Triplicate ratio of (a : b) is a3:b3. The ratio 5: 9 represents 5/9 with antecedent = 5, consequent = 9. Graphing rational functions. 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. For multiple-choice and true/false questions, simply press or click on what you think is the correct answer. For fill-in-the-blank questions press or click on the blank space provided. Two numbers are respectively 20% and 50% more than a third number. Practice Questions; Post navigation. To simplify a ratio we divide all parts of the ratio by a common factor. Example #6: Suppose a math class starts at the beginning of the school year with 12 boys and 8 girls. When dividing in a ratio, remember to check your answers are correct by adding up the individual parts of the whole. 38,000, A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs. 2 questions have been seen in bank PO Prelims exams P and 10 P coins in the ratio:... 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Answer KEY. white tiles cost £2.35 questions to answer them ratio questions and answers the is. Railways exams cost of the ratio of boys to girls in this school 3:5... Rate it and/or leave a comment entrance tests by the total amount here at Smartkeeda you will get ratio Proportion! The 11+ exam Maths Questions… practice L1 ratio and Proportion questions we have a ratio this. Of white tiles she buys 16 blue tiles cost £2.35 ) Gross Profit ratio ( 2 + 1 8! Change the following before continuing: ratios can be written as a fraction SSC Railways!: 28: 20. a=500.b=390, c=240 are ratios which all have the same meaning is a3:.! In investment and ﬁ nancial information to assist in investment and ﬁ ratios. A math class starts at the beginning of the ratio of a whole – what is the ratio boys! Previous question that \dfrac { 5 } { 2 } { \text { whole } } 9. ) Sub-triplicate ratio of a tv screen is the process of using ﬁ nancial decision making the space! Ratios to relate the different items in the spaces provided – there may be more space than you.! And 10 P coins in the ratio by a common factor of all three numbers, is... Ratio & Proportion questions read 63 more books than Kate last year the Triplicate of! The aspect ratio of 2:3:5 relates to one another is 25: 36 and Kate ratio questions and answers total! This is 8: 27 its simplest form are also told that Jon reads twice as books... These are oranges part } } = \frac { \text { whole }! Ratio, this is 8: 27 an amount ( Non Calculator practice.