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. 1. 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? 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. 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} To scale a ratio we multiply by a common factor. \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}. So we multiply the ratio by \textcolor{black}{2}. How much does each group get? Solution a) The ratio … Square Sometimes you may see ratios x:y where y includes x. The second one is really challenging. First, we need to multiply all parts of the ratio until there are only whole numbers left before simplifying. Instructions Use black ink or ball-point pen. GCSE Higher: Sak needs 40 g of sugar to make 12 cakes. There are \dfrac{\textcolor{red}{3}}{\textcolor{blue}{2}} as many red counters as blue counters. 200 cakes are shared out in a ratio of 1:2:3 in to groups a, b and c respectively. If a piece of wood is 30 cm, it weighs 150 g. Ratio and Proportion Practice Questions Part 1: Basic ratio and proportion questions. 5-a-day Workbooks. Ex. ... Scroll down for answers … Anne gets £20 Mark gets £35 and Ben gets £25. Tweet. Solved examples with detailed answer description, explanation are given and it would be easy to understand. Tutorials, tips and advice on GCSE Maths coursework and exams for students, parents and teachers. 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}. b) Alieke read 63 more books than Kate last year. a) We are told that Jon reads twice as many books as Kate. This means that we are dealing with 9ths. Step 1: Find the total number of parts in the ratio: \textcolor{red}{3}+\textcolor{limegreen}{4}+\textcolor{blue}{5} = \textcolor{black}{12} parts. On MathsBot you can generate ratio questions, revision grids and practice papers. Directions: In this section, the questions asked are the basic ratio and proportion questions that can be asked in the exam. Click here for Answers . (If there is a particular topic for which you would like answers, please get in touch - my email is on the home page.) 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. What is the ratio in simplest form of the length to the area of the field? Work out how many books Alieke, Jon, and Kate read in total last year. To work out the total cost of the tiles Lucy buys, we need to work out how many white tiles she buys. GCSE (1 – 9) Ratio Problems 2 Name: _____ Instructions • Use black ink or ball-point pen. GCSE Revision Cards. The sum of the ratio is 4 + 5 = 9. b) Finding the ratio of a part – What is the ratio of oranges to apples? Previous Percentages of an Amount (Non Calculator) Practice Questions. Perfect for projecting in the classroom. As a ratio, this can be written as 2 : 1. Questions 7 - 10 are for Intermediate and Higher tier The length of a piece of wood is in direct proportion to its weight. All we do is divide each number by the highest common factor of all three numbers, which is 3. Tes Global Ltd is 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: Billy gives \textcolor{orange}{4} marbles to Claire and the ratio is now 1:1. London WC1R 4HQ. Sometimes you've just got to create … 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. View all Products, Not sure what you're looking for? \textcolor{purple}{£6000} \div \textcolor{black}{12} = \textcolor{orange}{£500} = \, 1 part. \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}. If 7 shares have a value of 35, then 1 share has a value of 5 (35 \div 7 = 5). He also needs four times as much flour as sugar and twice as much butter as sugar. b) If there are 450 students in the school, how many of them have brown hair? In order to work out the number of white tiles,  we  need to work out the total number of tiles she buys. Example: Aaron, Kim and Paul split \textcolor{purple}{£6000} in the ratio of \textcolor{red}{3}:\textcolor{limegreen}{4}:\textcolor{blue}{5}. Blue tiles cost £2.80 whilst white tiles cost £2.35. 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. Exam-Style Questions on Ratio Problems on Ratio adapted from questions set in previous Mathematics exams. • Answer all questions. These are part : whole ratios. c) boys to the total? Example: Write the following ratio in its simplest form, \textcolor{red}{15}:\textcolor{blue}{30}:\textcolor{limegreen}{24}. Example: Meringue is made by mixing cups of egg whites and cups of sugar in the ratio \textcolor{limegreen}{3}:\textcolor{blue}{7}. (2 Marks) 3. So when \textcolor{limegreen}{12} egg whites are used, \textcolor{blue}{28} cups of sugar are needed. 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. 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. Write the following ratio in its whole number simplest form. We can not simplify this any more, therefore the ratio is in its simplest form. You may sometimes be given the difference between two parts of the ratio, instead of the total amount. Step 3: The ratio \textcolor{blue}{5}x-\textcolor{orange}{4} : \textcolor{limegreen}{3}x+\textcolor{orange}{4} is 1:1. Cherry Blossom paint is made by mixing red and white paint in a certain ratio. By adding up the ratio, we know that we are dealing with eighths. 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. Search for: Contact us. Highly rated by teachers and students, these free maths resources have carefully thought out questions and detailed solutions. Now, Billy has \textcolor{blue}{5}x-\textcolor{orange}{4} marbles and Claire has \textcolor{limegreen}{3}x+\textcolor{orange}{4}. Answers included A worksheet on equivalent ratios with algebra (created by myself). 1. 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}. 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