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Expressing one quantity as a percentage of another worksheet pdf

HOMENumberNumber Language Factors, Multiples, Primes Directed NumbersAccuracy Rounding Whole Numbers Decimal Places Significant Figures Upper and Lower BoundCalculations Ordering Numbers Order of OperationsFractions and Decimals Introducing language Equivalent and Simplifying Fractions Fraction of Amount Improper Fractions and Mixed Numbers Fractions and Decimals Adding and Subtracting Fractions Multiplying and Dividing FractionsPercentages Percentages, Fractions, Decimals Percentage of Quantity A Quantity as a Percentage of another Percentage Increase and Decrease Reverse PercentagesRatio and Proportion Dividing a Quantity in a Ratio Direct and Inverse ProportionIndices, Standard Form Indices Fractional and Negative Indices Exponential Equations Standard FormInterest Simple Interest Compound InterestVenn Diagrams Algebra and GraphsGeometryMensurationCoordinate GeometryTrigonometryVectors/Matrices/ TransformationsProbabilityStatistics Did you already check the pages where I explain all you need to know about Statistics in order to pass your maths exam? Why not have a look now! Pie Charts Correlation and Scatter Graphs Mean, Mode, Median and Range Cumulative Frequency Besides finding the Percentage of an Amount, you will also have to be able to Compare two Quantities as a Percentage with each other on your IGCSE GCSE Maths exam. A typical question could be: John receives $80 of pocket money a year and Bernadette gets $105 a year. Express John's pocket money as a percentage to Bernadette's. A different question could be - Express Bernadette's pocket money as a percentage to John's. So as always, make sure to read the maths question carefully! Study the following videos during your Maths Revision and learn and understand how to compare two quantities as a Percentages with each other. Let me know if you still don't understand percentages on the forum of this site. I will be happy to help you with your maths and answer your maths questions. Good luck and have fun!! To prepare yourself for your IGCSE GCSE Maths exam it is important to answer as many maths questions as you can. Have a look therefore at the following activities which will explain to you how to express quantities as a percentage. You should try to solve the questions yourself first before looking at my answers and workings. Let me know if you need more help with percentages on the forum of this website and I will help you with your maths by making some more videos. Good luck and have fun! Come on! You are doing really well! Do not skip the next video but study it too during your maths revision and understand how to express one quantity as a percentage of another. Have fun!! Simplifying Expressions Enlargements Sine and Cosine Rule Angle Properties Answer the questions on the following worksheet during your maths revision. You will find example maths questions about all the types of percentage questions which you can also expect on your IGCSE GCSE maths exam. If you want to pass your next maths exam, try to answer all the questions about percentages yourself first before looking at the answer key (the answer key you will find at the end of the document). Let me know on the forum of this website if you don't understand percentages. I will help you with your maths and make some more maths videos for you. You can also download the FREE worksheet below this embedded document. Good luck and have fun! activity_percentages.docxFile Size: 19 kbFile Type: docxDownload File Excellent! You have learned a lot about percentages already. You understand how to convert percentages into fractions and decimals and the other way around. You have also learned how to find the percentage of an amount and just now how to compare two quantities as a percentage. Continue with your maths revision and follow the link. Here I will explain what Percentage Increase and Decrease is. Let's say in 2014 the zoo had 754 rabbits and in 2015 the same zoo had 1233 rabbits. Can you calculate the percentage increase of the amount of rabbits? Check the link and find out all you need to know to pass your IGCSE GCSE Maths exam! Percentage Increase and Decrease In this lesson, we will learn how to write one quantity as a fraction or percentage of anotherWorksheetThese slides will take you through some tasks for the lesson. If you need to re-play the video, click the `Resume Video' icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click `Next' below.Lesson summary: Express one number as a fraction or percentage of another without a calculatorTo share your results with your teacher please complete one of the quizzes.Did you know that exercise helps your concentration and ability to learn?For 5 mins...Move around: JogOn the spot: Chair yogaThis was the final lesson in the unit Percentages. Students learn about expressing one number as a percentage of another number using both calculator and non-calculator methods.As learning progress they use percentages to compare different proportions from real life problems.Differentiated Learning Objectives All students should be able to define percentage as `number of parts per hundred'. Most students should be able to define percentage as `number of parts per hundred' and express one quantity as a percentage of another. Some students should be able to write a percentage change.View online lessonLesson Downloads Download Presentation and WorksheetScheme of Work Link Calculations with PercentagesRelated Blog Efficient Calculator Methods for Percentages ChangesIMMEDIATE DOWNLOAD Download presentation Grade D/E Expressing one quantity as a percentage of another Understand that a percentage means "parts per hundred", and express one quantity as a percentage of another, including percentages greater than 100% If you have any questions regarding these resources or come across any errors, please contact [email protected] org. uk Key Vocabulary Per hundred Percentages Quantity How to express one quantity as a percentage of another 1) Express 6 g as a percentage of 20 g. 6 20 6 x 100 = 30% 20 We know percentage means `per hundred' How to express one quantity as a percentage of another 2) Express 650 g as a percentage of 2 kg. 650 2000 650 x 100 = 32. 5% 2000 First, we need to change 2 kg to grams so we have common units How to express one quantity as a percentage of another 3) It rained for 18 days last January. What percentage of the month was it dry? January has 31 days. 31 ? 18 = 13 13 31 13 x 100 = 42% 31 Express one quantity as a fraction of another ? Now you try ... 1) Express each of the following as percentage (1 dp) a) 30 p of a pound b) 18 days of April c) 55 p of ? 2 d) 1 kg of 220 g e) 20 minutes of 2 hours 2) In a class of 28 pupils, 16 are girls. What percentage of the class are boys? 3) A car journey took 7 hours to complete. What percentage of the day was spent on the journey? 4) The number of trees in a forest increased from 80 to 125 from 2001 to 2016. What percentage had the number of trees increased? Express one quantity as a fraction of another ? Now you try ... 1) Express each of the following as percentage (1 dp) a) 30% a) 30 p of a pound b) 60% b) 18 days of April c) 27. 5% c) 55 p of ? 2 d) 454. 5% d) 1 kg of 220 g e) 20 minutes of 2 hours e) 16. 7% 2) In a class of 28, 16 pupils are girls. What percentage of the class are boys? 2) 42. 9% 3) A car journey took 7 hours to complete. What percentage of the day was spent on the journey? 3) 29. 2% 4) The number of trees in a forest increased from 80 to 125 from 2001 to 2016. What percentage had the number of trees 4) 64% increased? Problem Solving and Reasoning Daisy and Callum need to get an average score of 68% in their maths test to get a Grade A. Daisy gets 53 marks in the first test and 49 in the second test. Callum answers all questions and gets 2/7 of the answers wrong. Both tests are out of 85. Did either Daisy or Callum get a grade A? Problem Solving and Reasoning Daisy and Callum need to get an average score of 68% in their maths test to get a Grade A. Daisy gets 53 marks in the first test and 49 in the second test. Callum answers all questions and gets 2/7 of the answers wrong. Both tests are out of 85. Did either Daisy or Callum get a grade A? Daisy's total marks: 53 + 49 = 102 Total number of marks: 85 + 85 = 170 Daisy's percentage: 102 / 170 = 0. 6 x 100 = 60% Daisy did not get A. Callum's mark for correct answers: 7/7 ? 2/7 = 5/7 of total number of marks: 5/7 x 170 = 121. 4 Callum's percentage: 121. 4 / 170 = 0. 71 x 100 = 71% Callum got A. Reason and explain What is the relationship between fractions and percentages? Which is a greater reduction- 1/3 off or 33% off? Calculate the pre-VAT price of a phone costing ? 230. What does 130% mean for the price of an item? In a school, 56 out of 70 teachers are female. What percentage of the teachers is female? What percentage of them is male? The fraction of female teachers in the school is 56/70, so by changing this fraction to percentage we have $$\frac{{56}}{{70}}$$ x 100% = 80% 80% of the teachers are female and the percentage of male teachers (100%-80%) =20% In general to express one quantity "$$a$$" as a percentage of the other quantity "$$b$$", we: Write the fraction $$\frac{a}{b}$$ Multiply the fraction $$\frac{a}{b}$$ by 100% to convert into a percentage. Example: 108 students out of 150 passed math and 96 out of 160 passed English. Find the percentage of the students who passed. Solution: Percentage of students who passed math = $$\frac{{108}}{{150}}$$x 100% = 72% Percentage of students who passed English = $$\frac{{96}}{{160}}$$x 100% = 60% Finding the Percentage of a Number: In order to find the percentage ($$a\% $$) of another number "$$b$$", we have the following method. Multiply $$a\% $$ by "$$b$$", i.e. $$b{\text{ x }}a\% $$ Simplify it, if possible. Example: If 75% of the students in a class of 40 passed a mathematics test, how many of them failed? Solution: Total students = 40 Percentage of students who passed = 75% No. of students who passed the test = 75% of 40 students = $$\frac{{75}} {{100}}$$x 40 = 30 No. of failed students = 40 ? 30 = 10 Example: Find (1) 25% of 21.60 (2) $$37\frac{1}{2}$$% x 1.60 Solution: 25% of 21.60 = $$\frac{{25}}{{100}}$$x 21.60 = 5.40 $$37\frac{1}{2}$$% x 1.60 = $$\frac{{75}}{2}$$% x 1.60 = $$\frac{{75}}{{2{\text{ x 100}}}}$$x $$\frac{{160}}{{100}}$$= = 0.60 expressing one quantity as a percentage of another worksheet pdf. expressing one quantity as a percentage of another worksheet with answers. expressing one quantity as a percentage of another worksheet tes

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