OCR 02 Fractions, Decimals and Percentages (Foundation)
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1 OCR 02 Fractions, Decimals and Percentages (Foundation) Do not use a calculator for questions to 7.. Find 20% of Write the following decimals in order of size, smallest first Write 5 6 as a decimal. 4. Work out Work out Calculate 2 divided by Calculate Insert <, > or to make each of the statements correct Jermaine s rectangular bedroom measures m by 4 m. Jermaine buys a new bed that measures 5 cm by 90 cm. What percentage of the floor space is covered by the bed? 0. A clothes shop had a sale with 2% off the original price of all dresses. Keeley paid for a dress in the sale. Calculate the difference between the sale price and the original price of the dress.. Given that , write down the answer to Explain your reasoning. Version OCR 207
2 2. Ruhollah says January s actual sales amount is , 50% more than the expected sales amount!. Is Ruhollah correct? Show your working. Month Expected sales amount January February March Four friends split the bill for a meal. Medgar pays 0 of the bill amount, Rosa pays 2 5, Malcolm pays one quarter and Martin pays one fifth. The amounts they pay total more than the bill and they leave the extra as a tip. Show that the tip they leave is 5% of the bill. 4. Kate gets a new job and her salary increases from to Show that this is a 4% increase. 5. State two mathematical reasons why this pie chart is misleading. 45% David currently earns 8.50 per hour. He has a pay review and his boss offers him either a.50 per hour increase or an increase of %. Which option should David choose? 7. Asif sells orange drink. He has 2 2 litres of orange drink to transfer into 4 litre bottles. How many of these bottles can he completely fill? 8. A car cost Emily paid 6%, Fred paid and Neil paid the rest. How much did Neil pay? 9. Clare and Gemma live in a shared flat that has an annual service charge of 25. Gemma pays 5 9 of the annual service charge. Clare pays the rest in equal monthly amounts. How much does Clare pay each month? 20. Martha puts 450 into a savings account that pays.5% compound interest annually. How much will be in Martha s account after three years? What will be the overall percentage increase in Martha s savings? State an assumption you have made. Version 2 OCR 207
3 Answers , 0.06, 0.6, or < > Floor space covered Area of bed %. Area of bedroom % of the original price, so original price is 65. Keeley saved , using place value. Initial calculation has been divided by 000 as each number in the calculation has been divided. 2. Yes % Salary increase Percentage increase % % and sections are not accurate proportions of the pie chart. The values on the three sections sum to more than. 6. Increase of % gives new hourly rate of 9.6;.50 increase gives new hourly rate of 0 per hour so this is the better option. Version OCR 207
4 , so Asif can completely fill 6 bottles Emily pays 96; Fred pays 825 and Neil pays per month After three years, amount Overall percentage increase %. 450 Assume no money withdrawn or added, value of interest does not change or any other reasonable assumption. We d like to know your view on the resources we produce. By clicking on Like or Dislike you can help us to ensure that our resources work for you. When the template pops up please add additional comments if you wish and then just click Send. Thank you. Whether you already offer OCR qualifications, are new to OCR, or are considering switching from your current provider/awarding organisation, you can request more information by completing the Expression of Interest form which can be found here: Looking for a resource? There is now a quick and easy search tool to help find free resources for your qualification: OCR Resources: the small print OCR s resources are provided to support the delivery of OCR qualifications, but in no way constitute an endorsed teaching method that is required by the Board, and the decision to use them lies with the individual teacher. Whilst every effort is made to ensure the accuracy of the content, OCR cannot be held responsible for any errors or omissions within these resources. This formative assessment resource has been produced as part of our free GCSE teaching and learning support package. All the GCSE teaching and learning resources, including delivery guides, topic exploration packs, lesson elements and more are available on the qualification webpages. If you are looking for examination practice materials, you can find Sample Assessment Materials (SAMs) and Practice Papers on the qualification webpage 205/ OCR This resource may be freely copied and distributed, as long as the OCR logo and this message remain intact and OCR is acknowledged as the originator of this work. OCR acknowledges the use of the following content: n/a Please get in touch if you want to discuss the accessibility of resources we offer to support delivery of our qualifications: resources.feedback@ocr.org.uk Version 4 OCR 207
5 Assessment Objective Qu. Topic R A G Assessment Objective Qu. Topic R A G AO Calculate a percentage of an amount AO Calculate a percentage of an amount AO 2 Order decimals AO 2 Order decimals AO Convert fractions to decimals AO Convert fractions to decimals AO 4 Divide a decimal by a decimal AO 4 Divide a decimal by a decimal AO 5 Add fractions AO 5 Add fractions AO 6 Multiply fractions AO 6 Multiply fractions AO 7 Calculate with fractions AO 7 Calculate with fractions AO 8 Use symbols AO 8 Use symbols AO 9 Calculate a percentage of a quantity AO 9 Calculate a percentage of a quantity AO 0 Find the original amount after a percentage change AO 0 Find the original amount after a percentage change AO2 Use place value AO2 Use place value AO2 2 Calculate a percentage of a quantity AO2 2 Calculate a percentage of a quantity AO2 Calculate with fractions AO2 Calculate with fractions AO2 4 Calculate a percentage increase AO2 4 Calculate a percentage increase AO2 5 Evaluate a chart with a fraction, decimal and a percentage AO2 5 Evaluate a chart with a fraction, decimal and a percentage AO 6 Calculate percentage increase AO 6 Calculate percentage increase AO 7 Divide mixed numbers AO 7 Divide mixed numbers AO 8 Solve a problem involving fractions and percentages of an amount AO 8 Solve a problem involving fractions and percentages of an amount AO 9 Solve a problem with fractions AO 9 Solve a problem with fractions AO 20 Solve a problem involving repeated percentage change AO 20 Solve a problem involving repeated percentage change Version 5 OCR 207
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