N5 A1.3 Fractions and Percentages - Revision

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1 N A. Fractions and Percentages - Revision This revision pack covers the skills at Unit Assessment and exam level f Fractions and Percentages so you can evaluate your learning of this outcome. It is imptant that you prepare f Unit Assessments but you should also remember that the final exam is considerably me challenging, thus practice of exam content throughout the course is essential f success. The SQA does not currently allow f the creation of practice assessments that mirr the real assessments so you should make sure your knowledge covers the sub skills listed below in der to achieve success in assessments as these revision packs will not cover every possible question that could arise in an assessment. Topic Unit Sub skills Questions Percentages A. Fractions A. Use reverse percentages to calculate an iginal quantity 0 Percentage appreciation and deprecation including compound interest Operations and combinations of operations on fractions including mixed numbers (addition, subtraction, multiplication and division) When attempting a question, this key will give you additional imptant infmation.,, - Key Note Question is at unit assessment level, a similar question could appear in a unit assessment an exam. Question is at exam level, a question of similar difficulty will only appear in an exam. * N The question includes a reasoning element and typically makes a question me challenging. Both the Unit Assessment and exam will have reasoning questions. If a star is placed beside one of the above symbols that indicates the question involves sub skills from previously learnt topics. If you struggle with this question you should go back and review that topic, reference to the topic will be in the marking scheme. Question should be completed without a calculat. Question should be completed with a calculat. Questions will be dered by sub skill and typically will start of easier and then get me challenging. Some questions may also cover several sub skills from this outcome even include sub skills from previously learnt topics (denoted with a *). Questions are gathered from multiple sources including ones we have created and from past papers. Extra challenge questions are f extension and are not essential f either Unit Assessment exam preparation.

2 THERE ARE NO ITEMS ON THE FORMULAE SHEET WHIH ARE USEFUL IN THESE QUESTIONS Q Questions Marks * It is estimated that an iceberg weighs tonnes. As the iceberg moves into warmer water, its weight decrease by % each day. What will the iceberg weigh after days in the warmer water? Give your answer crect to three significant figures. 8 N Alistair buys an antique chair f 00. It is expected to increase in value at the rate of % each year. How much is it expected to be wth in years? Olga nmally runs a total distance of 8 miles per week. She decides to increase her distance by % per week f the next six weeks. How many miles will she run in the sixth week? The pressure of a car tyre reduces by Zoe inflates her tires to PSI then travels 800 miles. % per 00 miles it travels. What will be the pressure of the car tire after this journey? A company makes large bags of crisps which contain 90 grams of fat. The company aims to reduce the fat content of the crisps by 0%. They decide to reduce the fat content by 0% each year. Will they have achieved their aim by the end of the rd year? Justify your answer. Mark takes some friends out f a meal. The restaurant adds a 0% service charge to the price of the meal. The total bill is 8 0. What was the price of the meal? A car is valued at 80. This is % less than last year s value. What was the value of the car last year? In a sale, all cameras are reduced by 0%. A camera now costs. NOW alculate the iginal cost of the camera.

9 N Each box on special offer contains 0% me powder than the standard box. A box on special offer contains 900 grams of powder How many grams of power does the standard box contain?

3 9 N Each box on special offer contains 0% me powder than the standard box. A box on special offer contains 900 grams of powder How many grams of power does the standard box contain? 0 N Last year, 9 learner drives from Topflight school of moting passed their driving test. This was % of those who sat their driving test from topflight. How many failed their driving test? The ratio of sugar to fruit in a particular jam is :. It is decided to: Decrease the sugar content by 0% Increase the fruit content by 0% alculate the new ratio of sugar to fruit. Give your answer in its simplest fm. Jack weighs 9 kilograms. On the st of January, he starts a diet which is designed to reduce his weight by % per month. During which month should he achieve his target weight of kilograms? Show all your wking. N alculate the exact value of the perimeter of the triangle opposite. cm cm cm * N * N A car travels km in of an hour. alculate its exact average speed in kilometres per hour. alculate the exact circumference of a circle with diameter Take cm.

4 N N 8 Sally has completed km of her 0 km run. How much exactly does she still have to run? Evaluate exactly Extra hallenge: 9 Jane s parents invested some money f her when she was bn at a rate of annum. 8 years later the account is handed over to Jane and there is now 8 account. How much did her parents invest when she was bn? % per in the [END OF REVISION QUESTIONS] [Go to next page f the Marking Scheme]

5 Where suitable, you should always follow through an err as you may still gain partial credit. If you are unsure how to do this ask your teacher. Q * Marking Scheme Multiplying fact 0 Power of 0 Solution rounding 00 (tonnes). The unrounded answer must be given befe the rounded answer to gain full credit. Units are not required. This question involves significant figures, you would have learnt this last year however googling the term should yield useful infmation follow this link. ompleting the calculation the long way (not using a power) gains full credit but is not recommended. The power might be much higher in the exam and therefe would take too long. Multiplying fact Power of 0 0 Solution in context Units and rounding required Multiplying fact 0 Power of 0 Solution 8 0 (miles). Units and rounding not required Multiplying fact 0 98 Power of 0 98 Solution (PSI). Units and rounding not required

6 8 N Multiplying fact Power of Process % ommunication No they will not achieve their aim because % > 0 %. The communication mark is only available if it contains a statement in the context of the question and numerical comparison. Valid b 0 b % 8 0 Process 8 0 / % Solution ( ). F doing nmal percentage calculation (eg ) award 0/. The only way to gain any credit in this question is with a reverse percentage Valid c 0 c 80 8% 80 Process 80 / 0 8 Solution ( )00 %. F doing nmal percentage calculation (eg ) award 0/. The only way to gain any credit in this question is with a reverse percentage Valid c 0 c c 80% Process / 0 8 Solution ( ) 0%. Note, this question should be completed without a calculat.. F doing nmal percentage calculation (eg 8 ) award 0/. The only way to gain any credit in this question is with a reverse percentage

7 9 N 0 N Valid p 0 p 900 Process 0% / Solution 0(g) 900 p 900 0%. Note, this question should be completed without a calculat.. F doing nmal percentage calculation (eg ) award 0/. The only way to gain any credit in this question is with a reverse percentage Valid 0 p 9 % 9 Process 9 / 0 8 % 8 Solution % 0. F doing nmal percentage calculation award 0/. The only way to gain any credit in this question is with a reverse percentage New sugar ratio 0 8 (parts) New fruit ratio 8 (parts) New ratio : 8 Simplified ratio : (eg by first writing as : ). Reduction fact 0 9 Processing ontinuation communication During April ( the th Month). At least steps of wking must be shown befe communication of answer

8 N * N * N N Know to find common denominat ( ) equivalent omplete sum 0 (cm) (. F any decimal approximate decimal wking award 0/. F crect answer without wking award 0/. Units not required. FOR ALL FRATION QUESTIONS, EVEN IF YOU ARE PERMITTED A ALULTOR, THE WORD EXAT EMPLIES YOU MUST NOT DO DEIMAL APPROXIMATIONS. AND, AS ALWAYS, YOU MUST SHOW FULL WORKING. SIMPLY TYPING IT ON A ALULTOAR THAT AN DO FRATION ALUATORS WILL GAIN NO MARKS. Know how to multiply (convert to improper fractions and invert nd fraction) omplete sum (km/h) ( 9 0. F any decimal approximate decimal wking award 0/. F crect answer without wking award 0/. Units not required. This question involves speed, distance and time. Look up the fmulae (and the triangle to memise them) follow this link. Know how to multiply (convert to improper fractions) 0 omplete sum 0 0 (cm) ( 0. F any decimal approximate decimal wking award 0/. F crect answer without wking award 0/. Units not required. This question involves the circumference of a circle. Look up the fmula follow this link. Know to find common denominat 0 0 equivalent omplete sum (km) ( ) ) ) ). F any decimal approximate decimal wking award 0/. F crect answer without wking award 0/. Units not required. Do not accept f

9 * N 8 Know to divide first and know how to divide Find common denominat 0 0 complete 9 equivalent 0. F subtraction first then division award / 0 8 was the iginal investment 8 8 [END OF MARKING SHEME]

National 5 Portfolio Applications 1.3 Fractions and Percentages

National 5 Portfolio Applications 1.3 Fractions and Percentages National Portfolio Applications. N Section A - Revision This section will help you revise previous learning which is required in this topic. R I can perform calculations involving fractions without a calculator.