You may view or download the pdf version of this worksheet with answers here. We shall explore numbers rounded to the nearest 10, 100 or 1 and work out the lowest and highest values of the original rounded values. The upper bound for the volume of the prism is 51561. This week i was planning to cover upper and lower bounds with year 11 as on the last mock a lot of them made mistakes so i felt it would be a good topic to revise. Mar 05, 2016 this week i was planning to cover upper and lower bounds with year 11 as on the last mock a lot of them made mistakes so i felt it would be a good topic to revise. Then wis called the least upper bound of a, or the supremum of. I usually print these questions as an a5 booklet and issue them in class or give them out as a homework. Every finite subset of a nonempty totally ordered set has both upper and lower bounds. The whole of gcse 91 maths in only 2 hours higher and foundation revision for edexcel, aqa or ocr duration. Upper and lower bounds gcserevision, maths, shapespace. Upperandlowerboundshighergcseexamstylequestions author. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre.
Working out error bounds is the opposite process it is finding how big upper bound or how small lower bound the number could have been, before it was rounded. The pyramid cheops in egypt is a square based pyramld. Science and maths by primrose kitten 1,085,512 views. Upper bound of r lower bound of r upper bound of r lower bound of r 2 b find the smallest possible value of rr. When a value is given to the nearest whole number, the error can be as large as 0. Fill in the boxes at the top of this page with your name, centre number and candidate number. On the other hand, 6 is not a lower bound for s since it is not smaller than every element in s. Igcse maths upper and lower bounds lesson 16 youtube. For example, 5 is a lower bound for the set s 5, 8, 42, 34, 934 as a subset of the integers or of the real numbers, etc. Calculate the lower bound of the area of land on the earths surface.
Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1. Upper and lower bounds higher gcse exam style questions show stepbystep solutions rotate to landscape screen format on a mobile phone or small tablet to use the mathway widget, a free math problem solver that answers your questions with stepbystep explanations. In this note, we will improv e the upper and lower bounds for f v 4, 4. Edexcel gcse mathematics linear 1ma0 upper and lower bounds materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser.
Gcse upper and lower bounds in relation to measurements. Gcse mathematics key topic practice sheets lower and upper bounds aqa higher these questions are suitable for higher tier students. We are working hard on a new platform for setting, building and monitoring homework. With the help of computer, we obtain that there is exactly one graph in the set of 2, 2, 4. If you like this resource, then please rate it andor leave a comment if the rateresource button on this page does not work, then go to. The definitions can be generalized to functions and even to sets of functions. This worksheet explores bounds in a variety of units and practical situations. In this exercise we are going to look at upper and lower bounds. Lower and upper bounds practice sheet questions aqa higher v3. Lower and upper bounds practice sheet questions aqa higher v2. Work out the upper bound for the perimeter of the rectangle.
The length of each brick is 11 3 cm, measured correct to the nearest mm. Igcse question, upper and lower bounds the student room. I also make them available for a student who wants to do focused independent study on a topic. Lower and upper bounds practice sheet questions aqa. Lower and upper bounds aqa higher these questions are suitable for higher tier students all questions can be done with a calculator model answers. Diagrams are not accurately drawn, unless otherwise indicated. Almost all communication complexity lower bounds and streaming algorithm lower bound and data structure lower bounds that rely on communication complexity arguments are proved by showing that a communication protocol can be constructively turned into an. The use of bounds is a practical mathematical method quite different from decimal rounding. We propose a new technique for proving lower bounds in the indexing model and use it to obtain lower bounds for the rankselect problem and the balanced parentheses problem. As part of the planning process i had a look through the higher textbooks our department has bought for the new specification gcse we bought the pearson ones, the full suite at ks3. Gcse mathematics calculator paper 10 practice paper style questions topic. Dfm is a huge bank of free educational resources for teaching mathematics, with full sets of slides, worksheets, games and assessments that span year 7 to further maths and enrichment resources with a maths challengeolympiad focus. Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, hb pencil, eraser, calculator.
The corbettmaths video tutorial on limits of accuracy upperlower bounds. One could turn the question around and ask what lower bounds arent proved by proving an upper bound. These questions have been collated by me as the basis for a gcse working party set up by the glow maths hub if you want to get involved please get in touch. Upper and lower bounds exam solutions examples, videos. We also improve the existing techniques of demaine and l. Upper and lower bounds is simply the range a number can be from.
Answer the questions in the spaces provided there may be more space than you need. Gcse revision upper and lower bounds teaching resources. Video tutorial on what upper and lower bounds are and how to use and apply them to some typical exam style questions. Determine lower bounds, upper bounds and error intervals after rounding or. The set s 42 has 42 as both an upper bound and a lower bound. In this lesson, learners will be able to apply and interpret upper and lower bounds when rounding or truncating numbers.
These values are accurate to 3 significant figures. Examstandard questions and model answers on lower and upper bounds, for aqa gcse higher 2015 gcse 91 specification. Examstandard questions and model answers on lower and upper bounds, for edexcel gcse higher 2015 gcse 91 specification. Upper and lower bounds for text indexing data structures. Jul 16, 2017 the whole of gcse 91 maths in only 2 hours higher and foundation revision for edexcel, aqa or ocr duration. Upper and lower bounds archives gcse maths tutorials. Upper and lower bound worksheets in maths suitable for ks3 and gcse measure problems based around home and real life functional maths questions. Give your answer in standard form to an appropriate degree of accuracy. Ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty. There is no such thing we had year 11 parents evening thursday and for this, id prepared a letter for each student, showing how many marks away from the next. May 28, 20 the corbettmaths video tutorial on limits of accuracy upper lower bounds. Dec 18, 2017 video tutorial on what upper and lower bounds are and how to use and apply them to some typical exam style questions.
Work out the upper bound and lower bound for the following measurements. Upper and lower bounds gcse higher teaching resources. Sep, 2017 ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty. To get the minimum possible value of a result the lower bound, you must multiply the lower bounds together. The corbettmaths video tutorial on limits of accuracy upper lower bounds. Read each question carefully before you begin answering it.
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