I usually print these questions as an a5 booklet and issue them in class or give them out as a homework. Read each question carefully before you begin answering it. The length of each brick is 11 3 cm, measured correct to the nearest mm. One could turn the question around and ask what lower bounds arent proved by proving an upper bound. The set s 42 has 42 as both an upper bound and a lower bound. 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. 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. Calculate the lower bound of the area of land on the earths surface.
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. Upper and lower bound worksheets in maths suitable for ks3 and gcse measure problems based around home and real life functional maths questions. I also make them available for a student who wants to do focused independent study on a topic. Gcse mathematics key topic practice sheets lower and upper bounds aqa higher these questions are suitable for higher tier students. 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. The whole of gcse 91 maths in only 2 hours higher and foundation revision for edexcel, aqa or ocr duration. Answer the questions in the spaces provided there may be more space than you need. Lower and upper bounds practice sheet questions aqa higher v2. Gcse mathematics calculator paper 10 practice paper style questions topic. A formula connecting speed, distance and time is 160 to 2 significant figures 7. May 28, 20 the corbettmaths video tutorial on limits of accuracy upper lower bounds.
In this lesson, learners will be able to apply and interpret upper and lower bounds when rounding or truncating numbers. This worksheet explores bounds in a variety of units and practical situations. Gcse upper and lower bounds in relation to measurements. 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. Upper and lower bounds examples, solutions, videos. 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. 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 is simply the range a number can be from. On the other hand, 6 is not a lower bound for s since it is not smaller than every element in s. The corbettmaths video tutorial on limits of accuracy upperlower bounds. Gcse revision upper and lower bounds teaching resources. 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.
Then wis called the least upper bound of a, or the supremum of. Upper and lower bounds archives gcse maths tutorials. We are working hard on a new platform for setting, building and monitoring homework. Examstandard questions and model answers on lower and upper bounds, for aqa gcse higher 2015 gcse 91 specification. 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. 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 encoding scheme, with the length of. Examstandard questions and model answers on lower and upper bounds, for edexcel gcse higher 2015 gcse 91 specification. 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. Sep, 2017 ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty. With the help of computer, we obtain that there is exactly one graph in the set of 2, 2, 4.
Diagrams are not accurately drawn, unless otherwise indicated. The definitions can be generalized to functions and even to sets of functions. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1. The pyramid cheops in egypt is a square based pyramld. The use of bounds is a practical mathematical method quite different from decimal rounding. Upper and lower bounds for text indexing data structures. 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. Higher tier questions and model answers 2 pdf files. Lower and upper bounds practice sheet questions aqa higher v3.
A coffee machine dispenses millilitres of black coffee into cups with a capacity of 175 millilitres. Fill in the boxes at the top of this page with your name, centre number and candidate number. These values are accurate to 3 significant figures. Upper and lower bounds gcserevision, maths, shapespace.
Work out the upper bound for the perimeter of the rectangle. An example of an actual bounds question appearing in an igcse paper is. When a value is given to the nearest whole number, the error can be as large as 0. 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. Lower and upper bounds aqa higher these questions are suitable for higher tier students all questions can be done with a calculator model answers. Upper and lower bounds gcse higher teaching resources.
To get the minimum possible value of a result the lower bound, you must multiply the lower bounds together. Upperandlowerboundshighergcseexamstylequestions author. In this note, we will improv e the upper and lower bounds for f v 4, 4. 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. In this exercise we are going to look at upper and lower bounds. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Every finite subset of a nonempty totally ordered set has both upper and lower bounds. The upper bound for the volume of the prism is 51561. 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. Jul 16, 2017 the whole of gcse 91 maths in only 2 hours higher and foundation revision for edexcel, aqa or ocr duration. Work out the a upper bound of pq b lower bound of pq a. Lower and upper bounds practice sheet questions aqa. 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.
Ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty. 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. You may view or download the pdf version of this worksheet with answers here. Igcse question, upper and lower bounds the student room. We also improve the existing techniques of demaine and l. Give your answer in standard form to an appropriate degree of accuracy. 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 corbettmaths video tutorial on limits of accuracy upper lower bounds.