Lower and upper bounds aqa higher these questions are suitable for higher tier students all questions can be done with a calculator model answers. Jul 16, 2017 the whole of gcse 91 maths in only 2 hours higher and foundation revision for edexcel, aqa or ocr duration. 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. Examstandard questions and model answers on lower and upper bounds, for edexcel gcse higher 2015 gcse 91 specification. Gcse revision upper and lower bounds teaching resources. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1. Sep 11, 2017 in this lesson, learners will be able to apply and interpret upper and lower bounds when rounding or truncating numbers. 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. Past paper questions upper and lower bounds maths answers. Lots of drag and drop activity with instant feedback. Calculate the upper bound for the area of triangle abc, 2 angle cab xo. There are 0 sheets of paper, correct to the nearest 100 sheets, in a pile.
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. A coffee machine dispenses millilitres of black coffee into cups with a capacity of 175 millilitres. The spremum and infimum for a set, if they exist, are unique. 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. These values are accurate to 3 significant figures. Diagrams are not accurately drawn, unless otherwise indicated. When more than one value in a calculation has been rounded, the upper or lower bounds for each value should be used in the calculation to find the greatest or. Fill in the boxes at the top of this page with your name, centre number and candidate number. The length of a side of the square base is 230 metres.
Addition and multiplication follow the same process. To get the minimum possible value of a result the lower bound, you must multiply the lower bounds together. In this lesson, learners will be able to apply and interpret upper and lower bounds when rounding or truncating numbers. The corbettmaths video tutorial on limits of accuracy upperlower bounds. The use of bounds is a practical mathematical method quite different from decimal rounding. May 28, 20 the corbettmaths video tutorial on limits of accuracy upper lower bounds.
The height of the pile is 160 mm, correct to the nearest 10mm. A set of 8 gcse exam style questions on upper and lower bounds. Gcse mathematics calculator paper 10 practice paper style questions topic. Read each question carefully before you begin answering it. Upper and lower bounds gcse higher teaching resources. Upper and lower bounds exam solutions examples, videos. Considering you can expect a question on your igcse gcse maths exam on this topic, i suggest you try the next two videos. Ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty. Upper and lower bounds higher gcse exam style questions. This worksheet explores bounds in a variety of units and practical situations. This includes examples of finding the upper and lower bound, addition, subtraction, multiplication and division of.
Calculating with upper and lower bounds fuseschool. Solutions to past paper questions upper and lower bounds. 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. Work out the lower bound for the circumference of the circle. In this video we are going to look at how to calculate with upper and lower bounds. Upper and lower bounds for graphdiameter problems with. Write down i the lower bound for the length of the fence, metres ii the upper bound for the length of the fence. I usually print these questions as an a5 booklet and issue them in class or give them out as a homework. Gcse mathematics key topic practice sheets lower and upper bounds aqa higher these questions are suitable for higher tier students.
Upper and lower bounds gcserevision, maths, shapespace. Lower and upper bounds practice sheet questions aqa higher v3. Science and maths by primrose kitten 1,085,512 views. Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line. 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. Precalculus examples functions finding upper and lower. 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. Answer the questions in the spaces provided there may be more space than you need. 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.
Work out the upper bound and lower bound for the following measurements. Pdf lower and upper reliability bounds for consecutive k. May 02, 2009 martin won the 400mtr race with a time of 1 minute. Hi there, well i got my gcse maths exam next week, high paper. Write down the lower and upper bounds of the number. In the previous maths video you learned what is meant with upper and lower bound. I thought that the lower bound for the volume must be product of the lower bounds for length, width and height. Bounds limits of accuracy complete lesson on upper and lower bounds and calculating with them. 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. An example of an actual bounds question appearing in an igcse paper is. Both measurements are correct to the nearest metre. Lesson can be used as whole class teaching by teachers and at home by learners.
Subjects events job board shop company support main menu. Upper and lower bounds examples, solutions, videos. What are upper and lower bound help with igcse gcse. 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 worksheets, questions and revision. How can we then add an estimate of the upper and lower bounds of the probability of a occurring. 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. Box 218, yorktown heights, new york 10598 communicated by c.
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 distance was correct to the nearest centimetre. Lots of opportunities for discussion, differentiated main task and answers included. This powerpoint presents ks3 and ks4 measure problems based around home and real life. 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. The pyramid cheops in egypt is a square based pyramld.
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. 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. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, hb pencil, eraser, calculator. Upper and lower bounds question gcse maths exam, help. Speed, distance, time area of a circle standard form surface area of a sphere the word document contains the questionsanswers. 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. One could turn the question around and ask what lower bounds arent proved by proving an upper bound. Gcse upper and lower bounds in relation to measurements. Nov 09, 2008 hi there, well i got my gcse maths exam next week, high paper.
The upper bound for the volume of the prism is 51561. On your igcse gcse maths exam paper you can expect a question involving upper and lower bound. Igcse question, upper and lower bounds the student room. This is the bounds revision for aqa, ocr and edexcel gcse maths. Journal of combinatorial theory, series b 26, 6674 1979 upper and lower bounds for graphdiameter problems with application to record allocation d. These maths activities provide you with example questions of how to find the upper or lower bound.
He measures the circumference and the diameter of a circle. Oct 17, 2017 i usually print these questions as an a5 booklet and issue them in class or give them out as a homework. Jun 10, 2016 gcse upper and lower bounds explaination. Whereas to get the lower bound of a addition or multiplication such as area you would. Pdf lower and upper reliability bounds for consecutive. F systems article pdf available in ieee transactions on reliability 643. Volume 50000 mm3 to 1sf answer is asked for in cm3, so convert to 50 cm3 1sf 9 a bd 120 tan15 bd120. The whole of gcse 91 maths in only 2 hours higher and foundation revision for edexcel, aqa or ocr duration. To 1sf, both ub and lb are 50000 mm3, so the appropriate degree of accuracy is. What are upper and lower bound help with igcse gcse maths. When a quantity is rounded, the actual value could be either higher or lower. 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. Lower and upper reliability bounds for consecutive k outof n.
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