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. Step 3: The ratio \textcolor{blue}{5}x-\textcolor{orange}{4} : \textcolor{limegreen}{3}x+\textcolor{orange}{4} is 1:1. So we multiply the ratio by \textcolor{black}{2}. 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. • Diagrams are NOT accurately drawn, unless otherwise indicated. Model answers & video solution for Ratios. Since 1 share has a value of 5, then 5 shares will have a value of 25 (5 \times 5 = 25). 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. 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. Sometimes you've just got to create … If ratios have different units, we need to convert one of the units to the other, then simplify the ratio to its simplest form. The ratio of oranges to fruit in his bag is \textcolor{orange}{2}:\textcolor{blue}{7}. To simplify a ratio we divide all parts of the ratio by a common factor. Now, Billy has \textcolor{blue}{5}x-\textcolor{orange}{4} marbles and Claire has \textcolor{limegreen}{3}x+\textcolor{orange}{4}. 4 litres of red paint is used to make 9 litres of Cherry Blossom paint. The Corbettmaths Practice Questions on Compound Interest. Select 'ratio, proportion and rates of change' at the top. Step 2: Billy gives \textcolor{orange}{4} marbles to Claire. \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}. 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. Choose between single or split screen mode for … 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? 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}. \large{\frac{\text{part}}{\text{whole}} = \frac{2}{7}}. For every \textcolor{blue}{7} pieces of fruit, \textcolor{orange}2 of these are oranges. The second one is really challenging. Can YOU answer these fiendishly hard GCSE questions? Blue tiles cost £2.80 whilst white tiles cost £2.35. 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. If 7 shares have a value of 35, then 1 share has a value of 5 (35 \div 7 = 5). FACTS AND FORMULAE FOR RATIO AND PROPORTION QUESTIONS . Search for: Contact us. Ratio Practice Questions Click here for Questions . 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. 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. Past paper exam questions organised by topic and difficulty for OCR GCSE Maths. Step 3: Multiply the value of one part by the number of parts Aaron has: \textcolor{orange}{£500} \times \textcolor{red}{3} = £1500. Highly rated by teachers and students, these free maths resources have carefully thought out questions and detailed solutions. Check them out below. 100 HARD GCSE HIGHER GCSE QUESTIONS Suitable for new 9-1 Spec GCSE . \textcolor{limegreen}{9} \, \text{sweets} \div 3 = \textcolor{purple}{3} \, \text{sweets}, \textcolor{purple}{3} \text{ sweets } = 1 \text{ part }. Example: Aaron, Kim and Paul split \textcolor{purple}{£6000} in the ratio of \textcolor{red}{3}:\textcolor{limegreen}{4}:\textcolor{blue}{5}. Here I am providing Ratio and Proportion questions and answers for your practice. Example: Josh, James and John share sweets in the ratio \textcolor{orange}{1}:\textcolor{blue}{2}:\textcolor{red}{4}. 1. Solved examples with detailed answer description, explanation are given and it would be easy to understand. London WC1R 4HQ. Worked Examples. Example #4: Suppose the width of a soccer field 60 meters and the length is 100 meters. b) Finding the ratio of a part – What is the ratio of oranges to apples? Change the following ratio into the same unit ratio in its simplest form. So, Adam has \textcolor{limegreen}{10} apples. As a ratio, this can be written as 4 : 1. (2 Marks) 3. (2 Marks) 2. 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. Ratio and Proportion Questions are important for a competitive exam point of view. c) Finding the missing amount – Adam has \textcolor{orange}{4} oranges, how many apples does he have? Cherry Blossom paint is made by mixing red and white paint in a certain ratio. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. Since the ratio share for blond students is 4, this means that the fraction of blonde students is \dfrac{4}{9}. First, we need to multiply all parts of the ratio until there are only whole numbers left before simplifying. GCSE (1 – 9) Ratio Problems 2 Name: _____ Instructions • Use black ink or ball-point pen. b) girls to boys? These are part : whole ratios. Therefore, the fraction of students with brown hair is \dfrac{5}{9}. Videos, worksheets, 5-a-day and much more 200 cakes are shared out in a ratio of 1:2:3 in to groups a, b and c respectively. Model answers & video solution for Circle Theorems. How many sweets did each have initially? Videos, games, activities and worksheets that are suitable for GCSE Maths to help students answer harder questions involving ratios. \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. The ratio is 2 parts blue to 13 parts white. Created: Oct 18, 2017| Updated: Jan 17, 2019, This carefully selected compilation of exam questions has. 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. Answers included These sub topics are new to the GCSE 9-1. 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