Conditions. Anne gets £20 Mark gets £35 and Ben gets £25. 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. 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 … 1. Model answers & video solution for Circle Theorems. 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. \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}. 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}. A growing bank of randomly generated GCSE exam style questions with full worked solutions. arrow_back Back to Proportion (best value, recipes, exchange rates etc) Proportion (best value, recipes, exchange rates etc): Worksheets with Answers. How much does each group get? Square 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} Tutorials, tips and advice on GCSE Maths coursework and exams for students, parents and teachers. You may sometimes be given the difference between two parts of the ratio, instead of the total amount. Example: Meringue is made by mixing cups of egg whites and cups of sugar in the ratio \textcolor{limegreen}{3}:\textcolor{blue}{7}. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. GCSE (1 – 9) Ratio Problems 2 Name: _____ Instructions • Use black ink or ball-point pen. 2018 GCSE Grade Boundaries AQA GCSE Mathematics Paper 1: 8300H 24th May 2018 [Exam Discussion] show 10 more As a ratio, this can be written as 4 : 1. Select 'ratio, proportion and rates of change' at the top. Sometimes you've just got to create … 100 HARD GCSE HIGHER GCSE QUESTIONS Suitable for new 9-1 Spec GCSE . What is the ratio of a) boys to girls? Since 1 share has a value of 5, then 5 shares will have a value of 25 (5 \times 5 =  25). We can not simplify this any more, therefore the ratio is in its simplest form. Therefore, Lucy’s total spend on tiles is: Question 4: Steve receives £200 each month from his parents as an allowance. He also needs four times as much flour as sugar and twice as much butter as sugar. Example: Billy and Claire share marbles in the ratio \textcolor{blue}{5}:\textcolor{limegreen}{3}. • You … (If there is a particular topic for which you would like answers, please get in touch - my email is on the home page.) Primary Study Cards. The resources include revision questions for KS2 SATs and GCSE. 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. 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. 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. Here I am providing Ratio and Proportion questions and answers for your practice. The ratio is 2 parts blue to 13 parts white. As a ratio, this can be written as 2 : 1. 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. 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. Find the horizontal length and vertical height of a tv screen with an aspect ratio of 4:3 and a diagonal of 50 inches. To scale a ratio we multiply by a common factor. \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}. There are 8 skills involving ratios you need to learn. Example 1:There are 8 boys and 6 girls in a classroom. 1. c) boys to the total? Past paper exam questions organised by topic and difficulty for OCR GCSE Maths. Blue tiles cost £2.80 whilst white tiles cost £2.35. Questions 7 - 10 are for Intermediate and Higher tier The length of a piece of wood is in direct proportion to its weight. 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}. (2 Marks) 2. London WC1R 4HQ. Now, Billy has \textcolor{blue}{5}x-\textcolor{orange}{4} marbles and Claire has \textcolor{limegreen}{3}x+\textcolor{orange}{4}. \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. Probability fractions and data sampling questions for 16-year-olds will leave you scratching your head. The sum of the ratio is 4 + 5 = 9. 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. Josh has \textcolor{limegreen}{9} sweets less than John. FACTS AND FORMULAE FOR RATIO AND PROPORTION QUESTIONS . Step 3: Multiply the value of one part by the number of parts Aaron has: \textcolor{orange}{£500} \times \textcolor{red}{3} = £1500. My Tweets. What is the ratio in simplest form of the length to the area of the field? Ratio and Proportion Practice Questions Part 1: Basic ratio and proportion questions. Perfect for projecting in the classroom. 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? Ex. She buys white and blue tiles in the ratio of 13 : 2. Sometimes you may see ratios x:y where y includes x. Alternatively, we can write either part as a fraction of the total i.e. 1. Cherry Blossom paint is made by mixing red and white paint in a certain ratio. How much does Steve spend on football stickers? Ratio and Proportion Questions are important for a competitive exam point of view. If 7 shares have a value of 35, then 1 share has a value of 5 (35 \div 7 = 5). 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. To work out the total cost of the tiles Lucy buys, we need to work out how many white tiles she buys. The ratio 5: 9 represents 5/9 with antecedent = 5, consequent = 9. • Answer all questions. So let's practice with selective Ratio and Proportion Questions and answers for competitive exams like SSC and Banking exams. (Reference : Oxford dictionary) Notation: Ratio of two values a and b is written as a:b or a/b or a to b. 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. There are \dfrac{\textcolor{blue}{2}}{\textcolor{red}{3}} as many blue counters as red counters. There is £80 in a pot which is shared out amongst 3 people. We need to scale up the ratio \textcolor{orange}{2}:\textcolor{limegreen}{5}, so that the left is equal to \textcolor{orange}{4}. Previous Percentages of an Amount (Non Calculator) Practice Questions. Therefore, the fraction of students with brown hair is \dfrac{5}{9}. Since the ratio share for blond students is 4, this means that the fraction of blonde students is \dfrac{4}{9}. Question 3: Lucy is tiling her bathroom. View all Products, Not sure what you're looking for? 1 – Dividing in a ratio Without realizing, you use ratios every day in order to divide and share out amounts fairly. b) We know from the previous question that \dfrac{4}{9} of the students have blonde hair. If she buys 16 blue tiles, how much does Lucy spend on tiles in total? Gcse 9-1 total, there are only whole numbers left before simplifying sweets less than.... Of parts in ratio, this finds the value of 1 part ( PPQs ) may be space. The spaces provided – there may be be useful to students, parents and teachers detailed answer,! For questions divide the total amount into a ratio is a key needed... 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