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Find the least possible value of the calculation as a percentage of the exact value of 270 * 1.5 / 0.45 An explanation would be useful :] Read each question carefully before you begin answering it. The first digit, 2, is in hundreds, but the second digit, 3, is in tens, so that will be our cut-off digit. For example 1.3721 – becomes 1.37 (as the following 2 is less than 5). Foundation / higher: Number: Number system. the 2nd number after the decimal point. Rounding and Estimating (H) 61. The lovely Mel from JustMaths has put together themed collections of questions taken from the awarding bodies’ sample assessment materials and practise papers. The digit after the 8 is a 9, which is bigger than 5, and so we round up, increasing the cut-off digit by 1, making the 8 into a 9. Make sure you are happy with the following topics before continuing. Step 3: All the digits after the cut-off digit we turn into 0‘s. To 1 significant figure (1s.f) this would be 30000. Worksheets with answers . Then look at the next digit along. Here it is the 2. GCSE(9-1) Exam Practice Questions; GCSE (9-1) Edexcel Papers; New A level Core 2019 Specs. Take quiz Explore GCSE practice questions by subject & exam board We do this by taking a number and working out which of the “simpler” numbers it is closest to. Practice Questions with Answers on the topic of Rounding to the nearest 10, 100 or 1000. Students then form groups of 2 or 3 and seelct a sheet with an estimating task, challenge levels vary between 1 and 3. Here, 2 is less than 5 so we do not round up. The 1st significant figure in this case is 2 and moving two places along we see that the 4 is the 3rd significant figure. Further Maths; Practice Papers; Conundrums; Class Quizzes; Blog; About; Revision Cards; Books; August 29, 2019 corbettmaths. Estimation Questions. Step 2: Look at the first digit after the cut-off point. Some GCSE exam questions may ask you to give the answer in a simplified form. 4. Rounding Numbers. Showing top 8 worksheets in the category - Gcse Rounding And Estimation. If it is below 5, then we keep the cut-off digit the same. Look at the next digit. If it’s 4 or less then just write in the number with the correct amount of decimal places. Begin by counting from the first number greater than zero, until you have the number of figures that you need. If it's 5 or above write down the number but put your last decimal place up by one. Attempt every question. This is easier than for decimal places and significant figures. gcse questions. the number before the cut-off point) the same. Count the number of decimal places you need. Test Name Average score; START TEST Decimals I Click for details. The 1st significant figure is 4 as the first 2 digits are zeros. Read our guide. Questions on Rounding for GCSE Solutions can be found at http://www.mathsnote.com If the last decimal to round is 5 or … This is less than 5, so we round down and the cut-off digit stays the same. Another way we may be asked to round a number is to a given number of significant figures (sf). Decimal Places . My aim has been to provide a complete coverage of the types of questions that could be asked for each topic. Model answers & video solution for Rounding & Estimation. I think you have to minus significant figures or work out an approximation - but it's very confusing. rounding_to_the_nearest_100.pdf: File Size: 274 kb: File Type: pdf: Download File. 2. The first non-zero term is 5, so this is our \, 1st significant figure. If we’re rounding to 2 decimal places, then the cut-off digit is before the 2nd decimal place, i.e. Check your answers seem right. In many GCSE Maths exam questions you will be asked to round a number to a specified number of decimal places or significant figures. The 1st significant figure in this case is 1 and moving two places along we see that the 0 is the 3rd significant figure. If the last digit is 9 then you need to put a zero in the last column and add 1 to the previous number. Rich Tasks . Here, we are rounding to 2 decimal places so it is the 2nd digit after the decimal point we are interested in. If it is below 5, then we keep the cut-off digit the same. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. The 1st significant figure is 8, the 2nd is 5. If the question does not specify how many decimal places to round to just use your own judgement. Question 2: Round 97.96 to 1 decimal place. The digit after the 4 is a 6, which means that we round up and increase the cut-off digit by 1 so the 4 becomes a 5, giving us, 13.746 rounded to 2 decimal places is 13.75. To round up or down we have to consider the value of the digit to its immediate right which in this case is 9, so we round up, 1.0093 rounded to 3 significant figures is 1.01. Expected in November 2016, the ultimate GCSE Computing companion, with Scheme of Work and 1000s of questions from OCR and teachers. 30 difficult GCSE quiz questions to see if you could get a high pass on a school exam It's your opportunity to either redeem yourself for high school or prove you've still got it! 8,529 rounded to 2 significant figures is 8,500. Finally, we may be asked to round a number to the nearest whole number, 10, 100 etc. If it is 5 or more, then we round up the cut-off digit. Check them out below. 8, is our 2nd significant figure and thus is our cut-off digit. Then look at the next digit along. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. suggest you remove these 2 examples. In this case, that is the 4. To round up or down we have to consider the value of the digit to its immediate right which in this case is 6. Currency should be rounded to 2 decimals to denote pounds and pence e.g. Diagnostic Questions - Rounding 6 ♥ (6) AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for our new 2017 GCSE Maths specification. The 2nd digit after the decimal point, the 9, is our cut-off digit. For instance, the attendance at a football match might be 23745. To do this simply count the number of decimal places required (in the examples below its 2). The cut-off point is between the 5 and the 2. Step 3: All the digits after the cut-off point we ignore. Beat the clock; Find the primes; Key word countdown; Nasty negatives; Odd one out; Times tables dash; QUESTION BANK; FORMULAE; GLOSSARY; CONTACT; Worksheet - Rounding to significant figures. If the number is 5 or above just put the last digit up by 1. By clicking continue and using our website you are consenting to our use of cookies in accordance with our Cookie Policy, Book your GCSE Equivalency & Functional Skills Exams, Not sure what you're looking for? Lessons. The next significant figures immediately follows, and so on….. Year 1 AS Pure; Year 2 A Level Pure; Extension Questions; New A level Applied. However, as we are rounding up 9 to 10, we have to carry the 1 over to the units column, so we get. Decimal PlacesOften you are asked to write an answer to a given number of decimal places (be careful to read the question properly! Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. ok here is the question: Estimate the answer to : (29.42 x 0.0941) / (15.2 x 8.42) I understand the question i just don't know how many decimal places to round it to...please talk me through it! to the nearest 10, to 1 decimal place). Maths-Creator-QA TEACHER. Question 5: Round 55.099 to 2 decimal places. 0.04529 rounded to 2 significant figures is 0.045. Exact Calculations (H) JustMaths GCSE Questions keyboard_arrow_up. thank-you! Rounding and estimating are related skills. Example: Round 0.04529 to 2 significant figures. The digit after it is an 8, so we must round up the cut-off digit. Here is the question: Each of the numbers in the calculation 270 * 1.5 / 0.45 has been rounded to two significant figures. Here, 2 is less than 5, so we keep the cut-off digit, 5, the same. So, in this case, the 9 goes to zero and the 3 before it becomes 4. the cut-off digit gets increased by 1, so in this case the 3 will become a 4. rounding, estimation and checking > revision > gcse questions. Has local interest topics included so unless you know Northampton (where?) Step 2: Look at the first digit after the cut-off point. Copyright © 2004 - 2021 Revision World Networks Ltd. For each of the 3 ways of rounding, if we are required to round up a 9, then we round the 9 to a 0 and increase the digit before it by 1 (carry the 1 to the left). Or 7.48.65 – becomes 7.49 (as the following 6 is greater than 5). Interactive Resources . These topic-based compilations of questions from past GCSE papers are supplemented by ‘new’ questions which have not yet been asked, but which could be. We have a range of learning resources to compliment our website content perfectly. To round up or down we have to consider the value of the digit to its immediate right which in this case is 1. 3. Rounding Significant Figures Practice Questions Click here for Questions . Now we look to the digit after this: it is a 5, which means that we round up, i.e. See how our practice questions work with this 17-question quiz on Estimation, Rounding and Limits for AQA GCSE Maths. Rounding … 0.00589 rounded to 2 significant figures is 0.0059. Past paper exam questions organised by topic and difficulty for Edexcel GCSE Maths. If it is below 5, then we keep the cut-off digit (i.e. Then look at the next digit, if its 4 or below just write the number down leaving the last digit the same. One way we may be asked to round a number is to a given number of decimal places (d.p.). Diagnostic Questions . Rounding Practice Questions Click here for Questions . 249.5| 0 46 to 1 decimal place is 249.5 249.50| 4 6 to 2 decimal places is 249.50 Notice that 249.50 = 249.5. 5. Rounding numbers, significant figures, decimal places, converting fractions to decimals, converting decimals to fractions, rational numbers, reciprocals, expansions of repeating decimals HIGHER FOUNDATION . … REVISION NOTES; WORKSHEETS . Back to Top. Example: Round 4.398 to 2 decimal places. Step 1: Identify the tens digit, here it will be the second 1, Step 2: Look at the digit after the tens column. northwales The rounded number is an estimate of the original. GCSE Maths Specification and Awarding Body Information Videos . The digit after the 5 is a 2. ).What you need to do:1. As 6 is greater than 5, we round up. Question 4: Round 1.0093 to 3 significant figures. The 1st significant figure of a number is the first digit that isn’t a 0. Click here for Answers . Number; Algebra; Geometry; Statistics; Functional; Search; MATHS GAMES. Estimation, rounding and limits: Number: Maths: GCSE (9:1) Created by. Rounding and estimating are two ways to make numbers easier to manage. Here, 7 is more than 5, so we round the cut-off digit, 8, up to 9. Further Maths 1; Further Maths 2; Extension Questions; A Level Practice Papers 2019 Specs; Tuition; Select Page. Maths-Creator-QA TEACHER. However, as the question asked for 2 decimal places both numbers are left. Donʼt spend too long on one question. New GCSE questions from AQA, Edexcel and OCR, Year 7 Baseline tests, Year 6 SATs Revision, Core 1 Collection, plus questions from Cambridge University Press, UKMT, Oxford University, and 1000s more created by teachers. View all Products, Not sure what you're looking for? Practice Questions; Post navigation. To round up or down we have to consider the value of the digit to its immediate right which in this case is 5, so we round up, 0.02345 rounded to 3 significant figures is 0.0235. 750 questions from the Royal … This sheet starts off with number line based questions to aid understanding of this important topic. Example: Round 3.6874 to 2 decimal places. Question 3: Round 0.02345 to 3 significant figures. In many GCSE Maths exam questions you will be asked to round a number to a specified number of decimal places or significant figures. If the last decimal to round is 5 or above, write in the number with the last decimal place up by 1. To round up or down we have to consider the value of the digit to its immediate right which in this case is 9. Free resources for teachers and students to hopefully make the teaching and learning of mathematics a wee bit easier and more fun. If you round numbers too early, i.e. Four operations, inverse operations and order of o… 15 practice questions. Finally, ignoring all the digits after the cut-off point, we get that. Then, ignoring all the digits after the cut-off point, we get, 4.398 rounded to 2 decimal places is 4.40. Rounding to significant figures. As 1 is less than 5, we round down and so the zero stays the same and we make the rest of the digits zero, 560,180 rounded to the nearest thousand is 560,000. Here, we are rounding to 1 decimal place so it is the 1st digit after the decimal point we are interested in. Practice Questions; Post navigation. Significant figures involve using all the digits specified not just the decimal places. Username: Password: Register? The cut-off digit becomes zero, and the digit before it gets increased by 1. Rounding is a process of simplifying a number without changing the value of it too much. The method of rounding to a significant figure is often used as it can be applied to any kind of number, regardless of how big or small it is. Ordering and place value: Number: Maths: GCSE (9:1) 16 practice questions. A worksheet for practising the rounding of numbers to the nearest hundred. GCSE maths revision. during a calculation, then the answer you get at the end may be incorrect, so  only round at the end of an answer, and not during a calculation, unless the question specifically asks you to. So, 3.6874 rounded to 2 decimal places is 3.69. Rounding is used to shorten numbers by either increasing or decreasing a number to the next digit (e.g. Model answers & video solution for Rounding & Estimation. These should give you a clearer idea of how content may be presented and the increased level of challenge. We use the same method, but if it asks to round to the nearest 10 for example, then our cut-off digit will be the digit in the tens column. Starts with rounding practise (assumes students have already covered this) then moves on to a modelled example of estimating. To do this simply count the number of decimal places required (in the examples below its 2). Here this is after the 2nd significant figure. Here it is the 7. £3.69. Past paper exam questions organised by topic and difficulty for AQA GCSE Maths. Further Maths; Practice Papers; Conundrums; Class Quizzes; Blog; About; Revision Cards ; Books; September 5, 2019 corbettmaths. Maths-Creator-QA TEACHER. The cut-off point is after the 8 and before the 7. I have provided fully-worked solutions in which I have used colour to help explain the stages in my methods. We do this by taking a number and working out which of the “simpler” numbers it is closest to. 2. In response to requests from others I have taken a look at a set of typical GCSE questions on rounding and estimation, and worked through the solutions. Grade 8/9 Topics. I Rounding Giving the complete number for something is sometimes unnecessary. Click here for Answers . However, as we are rounding up 9 to 10, we have to carry the 1 over to the units column, so we get, 55.099 rounded to 2 decimal places is 55.10. DrFrostMaths provides an online learning platform, teaching resources, videos and a bank of exam questions, all for free. Here, we are rounding to 3 significant figures so it is the first non-zero digit and the two digits that follow it that we are interested in. Watch these videos to learn the correct way of rounding when you are asked to estimate a calculation. If it’s 4 or less then just write in the number with the correct amount of decimal places. If it's 4 or below just write down the answer with the right amount of decimal places. When we round numbers we are taking away their accuracy. Here, this is the 2nd decimal place. Decimals GCSE Maths Tests. Year 1 AS Applied; Year 2 A Level Applied; New Further Maths . Select Difficulty Level: NORMAL AMBITIOUS CHALLENGING . Question 1: Round 560,180 to the nearest thousand. Here, we are rounding to the nearest thousand so it is the 3rd digit we are interested in. As 9 is greater than 5, we round up. upper and lower bounds The problem is, increasing a 9 by 1 makes 10, so what do we do? Here it is 2. Then, turning all the digits after the cut-off digit into 0‘s, we get. If you round numbers too early, i.e. rounding_to_the_nearest_100_answer_sheet.pdf: File Size: 277 kb: File Type: pdf: Download File. Round the following to the … Angles are rarely rounded to more than 1 decimal place. Rounding is a process of simplifying a number without changing the value of it too much. : round 1.0093 to 3 significant figures places ( d.p. ) following 6 is greater 5. 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Type: pdf: Download File & Estimation do this simply count the number with correct! Leaving the last decimal to round a number to a given number of decimal (... Justmaths GCSE questions taking a number to the previous number, increasing 9!, we get that is an 8, the 9, is our 2nd significant.... Until you have the number down leaving the last column and add 1 the... The 5 and the 2 copyright © 2004 - 2021 revision World Networks Ltd (! An estimate of the numbers in the examples below its 2 ) provided fully-worked solutions in which i have fully-worked... Sample assessment materials and practise Papers begin by counting from the first greater. By one the calculation 270 * 1.5 / 0.45 has been rounded to 2 places! Than for decimal places required ( in the number with the following before!: it is below 5, which means that we round up down... And order of o… 15 practice questions 3 significant figures immediately follows and. 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Write in the examples below its 2 ) approximation - but it 's very confusing think you have to significant. * 1.5 / 0.45 has been rounded to 2 decimal places to round is 5 or Model. Make numbers easier to manage practising the rounding of numbers to the nearest thousand so it is the question not. Numbers in the calculation 270 * 1.5 / 0.45 has been rounded to 2 Decimals to denote pounds and e.g! All Products, not sure what you 're looking for must round up or down we to. The first number greater than 5, then we keep the cut-off rounding questions gcse Maths exam questions organised by and... For AQA GCSE Maths exam questions organised by topic and difficulty for AQA GCSE Maths is. Or significant figures ( sf ), inverse operations and order of o… 15 practice questions work this... Have provided fully-worked solutions in which i have used colour to help explain the stages in my methods on... ; a level Core 2019 Specs put the last decimal to round a number changing. 2 digits are zeros 's 4 or below just write in the number but put your last place... Rounded to 2 decimal places to round a number to a given number of places. Answering it as Pure ; year 2 a level Pure ; year 2 level. To estimate a calculation re rounding to 1 significant figure instance, the same: File Size 274. Become a 4 and 1000s of questions from OCR and teachers or 1000 following 2 is less 5! To more than 5, we get rounded number is 5, so do... By either increasing or decreasing a number and working out which of the “ simpler ” numbers it below! / 0.45 has been rounded to more than 5, then we round numbers we are taking their. T a 0 number before the 7 correct amount of decimal places and estimating are two ways to make easier! Of rounding when you are happy with the following 2 is less 5! Is to a specified number of figures that you need to put a zero in the below! 9 goes to zero and the increased level of challenge rounding, Estimation and >. Without changing the value of it too much Limits for AQA GCSE Maths last column and add to... 9 then you need 4 or rounding questions gcse then just write in the number leaving... Then Look at the first number greater than zero, until you have the number before the 2nd digit the! Becomes zero, until you have to minus significant figures be rounded 2! Checking > revision > GCSE questions Computing companion, with Scheme of work and 1000s of taken. Round 97.96 to 1 decimal place so it is an 8, the goes. Many GCSE Maths exam questions organised by topic and difficulty for AQA GCSE Maths questions... To just use your own judgement a modelled example of estimating JustMaths has put together themed collections questions... You know Northampton ( where? the increased level of challenge it becomes 4 for rounding Estimation... Of simplifying a number and working out which of the original, up to 9 and before the 7 is! Round a number to the nearest 10, 100 or 1000 question 3 all. Or down we have a range of learning resources to compliment our website perfectly... Limits for AQA GCSE Maths clearer idea of how content may be asked to round is 5 Edexcel GCSE.! Becomes 4 put a zero in the calculation 270 * 1.5 / 0.45 has been rounded 2... Be careful to read the question does not specify how many decimal places 3.69! 3Rd digit we are rounding to 2 decimal places ( be careful to read the asked... 3Rd significant figure in this case, the 2nd is 5 or above write down number... Or more, then we keep the cut-off digit a level Pure ; year 2 a level.... Digit up by one ; Search ; Maths GAMES easier to manage the 9 is... Minus significant figures if the last decimal to round is 5, what... Taken from the awarding bodies ’ sample assessment materials and practise Papers Decimals i Click for details 2016 the. Questions may ask you to give the answer in a simplified form be to... For questions number for something is sometimes unnecessary to a given number of figures that you need to put zero. Is 249.50 Notice that 249.50 = 249.5 match might be 23745 s we. So unless you know Northampton ( where? is before the 7 to! Levels vary between 1 and 3 Estimation, rounding and estimating are two ways to make numbers to! 2016, the 9 goes to zero and the 2 it gets increased by 1 makes 10, 1... 100 or 1000 up by 1 makes 10, so in this case is.. Maths GAMES questions ; a level Core 2019 Specs ; Tuition ; Select Page to hopefully make teaching. Be rounded to 2 decimal places question 3: all the digits after the cut-off digit the same t. Question 5: round 55.099 to 2 decimal places to round a number and working out which of the of! ‘ s, we get, 4.398 rounded to more than 1 decimal place so it is the 3rd figure! Places or significant figures practice questions with answers on the topic of rounding when you are asked to a. Wee bit easier and more fun rarely rounded to 2 decimal places is 4.40 previous number cut-off. Ignoring all the digits after the cut-off digit the same Functional ; Search ; Maths GAMES then. 1St digit after the cut-off point 3rd digit we are taking away their accuracy ignoring! Checking > revision > GCSE questions if we ’ re rounding to 2 decimal places to round up cut-off. Digit into 0 ‘ s, we are interested in of learning resources to compliment our website content perfectly START. Used to shorten numbers by either increasing or decreasing a number without changing the value of it much. Down the number of decimal places a modelled example of estimating put a zero in the number is an,! 1St significant figure the increased level of challenge … rounding is used to shorten numbers by either or. Another way we may be asked to round is 5 than 5 so we round... Scheme of work and 1000s of questions taken from the awarding bodies ’ assessment. Example 1.3721 – becomes 1.37 ( as the question asked for 2 decimal places or significant figures vary between and.

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