Subjects events job board shop company support main menu. The corbettmaths video tutorial on limits of accuracy upperlower bounds. Lessons if you want a complete lesson, a tarsia jigsaw, or a fun and engaging lesson activity, then you have come to the right place. A set of 8 gcse exam style questions on upper and lower bounds. 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. Write down i the lower bound for the length of the fence, metres ii the upper bound for the length of the fence. One could turn the question around and ask what lower bounds arent proved by proving an upper bound. Upper and lower bounds archives gcse maths tutorials. The distance was correct to the nearest centimetre. Calculating with upper and lower bounds fuseschool.
Work out the upper bound and lower bound for the following measurements. Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line. Gcse mathematics key topic practice sheets lower and upper bounds aqa higher these questions are suitable for higher tier students. Jul 16, 2017 the whole of gcse 91 maths in only 2 hours higher and foundation revision for edexcel, aqa or ocr duration. Multiply the newest entry in the result 1 1 by the divisor 3 3 and place the result of 3 3 under the next term in the dividend 0 0. May 02, 2009 martin won the 400mtr race with a time of 1 minute. Journal of combinatorial theory, series b 26, 6674 1979 upper and lower bounds for graphdiameter problems with application to record allocation d. Considering you can expect a question on your igcse gcse maths exam on this topic, i suggest you try the next two videos. The whole of gcse 91 maths in only 2 hours higher and foundation revision for edexcel, aqa or ocr duration. Bounds limits of accuracy complete lesson on upper and lower bounds and calculating with them. Pdf lower and upper reliability bounds for consecutive k. In this lesson, learners will be able to apply and interpret upper and lower bounds when rounding or truncating numbers. Gcse mathematics calculator paper 10 practice paper style questions topic. May 28, 20 the corbettmaths video tutorial on limits of accuracy upper lower bounds.
Upper and lower bounds gcserevision, maths, shapespace. Work out the lower bound for the circumference of the circle. Upper and lower bounds higher gcse exam style questions. Solutions to past paper questions upper and lower bounds. He measures the circumference and the diameter of a circle.
Addition and multiplication follow the same process. Hi there, well i got my gcse maths exam next week, high paper. Lots of drag and drop activity with instant feedback. Gcse revision upper and lower bounds teaching resources. The height of the pile is 160 mm, correct to the nearest 10mm.
Lower and upper bounds aqa higher these questions are suitable for higher tier students all questions can be done with a calculator model answers. This powerpoint presents ks3 and ks4 measure problems based around home and real life. 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. Upper and lower bounds gcse higher teaching resources.
To find the upper bound of an addition or of an area, you would want to multiply the upper bounds of both measurements, as this would give the largest possible sum area. Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, hb pencil, eraser, calculator. Pdf lower and upper reliability bounds for consecutive. These values are accurate to 3 significant figures. Bounds revision gcse maths revision maths made easy. What are upper and lower bound help with igcse gcse. Examstandard questions and model answers on lower and upper bounds, for edexcel gcse higher 2015 gcse 91 specification. Both measurements are correct to the nearest metre. F systems article pdf available in ieee transactions on reliability 643. I usually print these questions as an a5 booklet and issue them in class or give them out as a homework.
Wong department of electrical engineering, rice university, houston, texas 77001. 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. The length of a side of the square base is 230 metres. The use of bounds is a practical mathematical method quite different from decimal rounding. Nov 09, 2008 hi there, well i got my gcse maths exam next week, high paper. Lots of opportunities for discussion, differentiated main task and answers included. There are 0 sheets of paper, correct to the nearest 100 sheets, in a pile. Gcse upper and lower bounds in relation to measurements. Speed, distance, time area of a circle standard form surface area of a sphere the word document contains the questionsanswers. Answer the questions in the spaces provided there may be more space than you need. To get the minimum possible value of a result the lower bound, you must multiply the lower bounds together.
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. This is the bounds revision for aqa, ocr and edexcel gcse maths. This includes examples of finding the upper and lower bound, addition, subtraction, multiplication and division of. Upper and lower bounds question gcse maths exam, help. Past paper questions upper and lower bounds maths answers.
Lower and upper bounds tutor2u maths the tutor2u maths team comprise experienced gcse and a level maths teachers and examiners with wide experience of all the main exam boards. Lower and upper reliability bounds for consecutive k outof n. 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. In this video we are going to look at how to calculate with upper and lower bounds. The spremum and infimum for a set, if they exist, are unique. Jun 10, 2016 gcse upper and lower bounds explaination. 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. Calculate the upper bound for the area of triangle abc, 2 angle cab xo. How can we then add an estimate of the upper and lower bounds of the probability of a occurring. Lower and upper bounds practice sheet questions aqa.
Science and maths by primrose kitten 1,085,512 views. I also make them available for a student who wants to do focused independent study on a topic. Please read the following notes are designed to help you to input your answers in the correct format 1 if a question which have multiple answers simply tick all correct answers. 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. This worksheet explores bounds in a variety of units and practical situations. Lower and upper bounds practice sheet questions aqa higher v2. 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. To find the upper bound for the average speed, we will need the upper bound for the distance and the lower bound for the time. In the previous maths video you learned what is meant with upper and lower bound. Upper and lower bounds is simply the range a number can be from. A coffee machine dispenses millilitres of black coffee into cups with a capacity of 175 millilitres. Upper and lower bounds topics it would be useful for students to know. When a quantity is rounded, the actual value could be either higher or lower. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1.
Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Fill in the boxes at the top of this page with your name, centre number and candidate number. Sep 11, 2017 in this lesson, learners will be able to apply and interpret upper and lower bounds when rounding or truncating numbers. Upper and lower bounds examples, solutions, videos. An example of an actual bounds question appearing in an igcse paper is. Volume 50000 mm3 to 1sf answer is asked for in cm3, so convert to 50 cm3 1sf 9 a bd 120 tan15 bd120. Read each question carefully before you begin answering it. Oct 17, 2017 i usually print these questions as an a5 booklet and issue them in class or give them out as a homework. Precalculus examples functions finding upper and lower.
Igcse question, upper and lower bounds the student room. Ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty. Lower and upper bounds practice sheet questions aqa higher v3. Upper and lower bounds worksheets, questions and revision. 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. 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. Whereas to get the lower bound of a addition or multiplication such as area you would. In this exercise we are going to look at upper and lower bounds. Upper and lower bounds for graphdiameter problems with. The pyramid cheops in egypt is a square based pyramld. Write down the lower and upper bounds of the number. Lesson can be used as whole class teaching by teachers and at home by learners. To 1sf, both ub and lb are 50000 mm3, so the appropriate degree of accuracy is. Upper and lower bounds exam solutions examples, videos.
What are upper and lower bound help with igcse gcse maths. Box 218, yorktown heights, new york 10598 communicated by c. On your igcse gcse maths exam paper you can expect a question involving upper and lower bound. He measures the diameter, d, as 54 mm to the nearest millimetre. Although you might have a solid understanding of rounding already, it is still important to take a moment and think about how to approach upper and lower bound questions it is better to be confronted with problems and questions now during your maths revision rather than on your actual maths exam. I thought that the lower bound for the volume must be product of the lower bounds for length, width and height. These maths activities provide you with example questions of how to find the upper or lower bound.
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