Gcse maths help upper bounds and lower bounds the student. 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. In this lesson, learners will be able to apply and interpret upper and lower bounds when rounding or truncating numbers. Oct 17, 2017 i usually print these questions as an a5 booklet and issue them in class or give them out as a homework.
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. Video tutorial on what upper and lower bounds are and how to use and apply them to some typical exam style questions. If youre given an estimate then to get a better idea of what the exact figure was you can. Upper and lower bounds examples, solutions, videos. 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. These maths activities provide you with example questions of how to find the upper or lower bound. Upper and lower bounds worksheets, questions and revision. The spremum and infimum for a set, if they exist, are unique. The use of bounds is a practical mathematical method quite different from decimal rounding. Upper and lower bounds gcse higher teaching resources.
When i round my number to 1 decimal place, i get 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. Igcse maths upper and lower bounds lesson 16 youtube. Your edexcel gcse maths higher specification is divided into five topics. To give some background, i am trying to create a formula that will enable me to easily create a schedule for bowling teams at an upcoming tournament. The question is dealing with 2 significant figures. In the previous maths video you learned what is meant with upper and lower bound. Upper and lower bounds higher tier gcse maths revision bbc. Write down the lower and upper bounds of the number. 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. 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.
Fill in the boxes at the top of this page with your name, centre number and. Ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty. Hi all i am studying for a maths test regarding upper and lower bounds, i have found a list of questions which i have attempted, i wa hoping someone could confirm if my answers are correct. The corbettmaths video tutorial on limits of accuracy upperlower bounds. Upper bound on forward settlement price video khan academy. This topic is about the consequences of two processes rounding and truncating.
To calculate the upper and lower bounds of a measured quantity. Upper and lower bounds synonyms, upper and lower bounds pronunciation, upper and lower bounds translation, english dictionary definition of upper and lower bounds. Considering you can expect a question on your igcse gcse maths exam on this topic, i suggest you try the next two videos. Upper and lower bounds on measures bingo lesson plan template and teaching resources. Questions based on finding the upper or lower bound of a given measurement. Upper and lower bounds gcserevision, maths, shapespace. Lower and upper bounds aqa higher these questions are suitable for higher tier students all questions can be done with a calculator model answers. Work out the upper bound and lower bound for the following measurements. Lower and upper bounds practice sheet questions aqa higher v3.
Upper and lower bounds definition of upper and lower bounds. Learn how to approximate using a range of rounding and estimation techniques with gcse bitesize maths. With the help of computer, we obtain that there is exactly one graph in the set of 2, 2, 4. A coffee machine dispenses millilitres of black coffee into cups with a capacity of 175 millilitres. Jun 10, 2016 gcse upper and lower bounds explaination. Lower and upper bounds practice sheet questions aqa higher v2. The upper bound of iop, in contrast, accounts for around 70% of the observed inequality. The upper bound for the volume of the prism is 51561. The weight of a bag of potatoes is 25 kg, correct to the nearest kg. This carefully selected compilation of exam questions has. Milk is supplied in small cartons which contain 21 millilitres, accurate to the nearest millilitre. He measures the circumference and the diameter of a circle.
I also make them available for a student who wants to do focused independent study on a topic. What are upper and lower bound help with igcse gcse maths. 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. Hence, equality of opportunity is higher in the land of opportunities. Gcse mathematics calculator paper 10 practice paper style questions topic. For example if the length of a line is given as 11 mm, this means that it is 11 mm to the nearest mm. The garden to nearest metre a i minimum width of gate ii max length and width iii maximum length of fencing required for side with the gate in it. Upper and lower bounds when measurements are made, they can only be obtained to a limited degree of accuracy. Fill in the boxes at the top of this page with your name, centre number and candidate number. Upper and lower bounds higher gcse exam style questions. 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. Lesson can be used as whole class teaching by teachers and at home by learners. These pages are clearly marked and you only need to use these, as well as the other pages, if you will be sitting the higher tier papers. The digit after 6 is a 4 so that means you need to round down.
Every finite subset of a nonempty totally ordered set has both upper and lower bounds. A crane has a cable with a breaking strain of 5300 kg measured to 2 significant figures. 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. 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. An example of an actual bounds question appearing in an igcse paper is.
Upper and lower bounds of inequality of opportunity. But in the solution, they almost seem to be using a different definition of least upper bound greatest lower bound. A number less than or equal to any number in a set. The higher tier sections cover a and a grade topics. This worksheet explores bounds in a variety of units and practical situations. These values are accurate to 3 significant figures. And with another color, red, students mark the lower bound and upper bound by drawing horizontal lines. Clip 160 upper and lower bounds 2 an estimate of the acceleration due to gravity can be found using the formula. Bingo game which can be used as a starter or wrap up.
Diagrams are not accurately drawn, unless otherwise indicated. Examstandard questions and model answers on lower and upper bounds, for edexcel gcse higher 2015 gcse 91 specification. With one color, green in this case, students mark the left bound and right bound of the function by drawing vertical lines. Gcse mathematics key topic practice sheets lower and upper bounds aqa higher these questions are suitable for higher tier students. For example if the length of a line is given as 11 mm, this means that it. Answer the questions in the spaces provided there may be more space than you need.
Lower and upper bounds practice sheet questions aqa. Results for the us are signicantly lower with shares of 16 and 40% respectively. Lots of drag and drop activity with instant feedback. This includes examples of finding the upper and lower bound, addition, subtraction, multiplication and division of. In this note, we will improv e the upper and lower bounds for f v 4, 4. Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, hb pencil, eraser, calculator. Mr mcgregors garden october 2014 remember 2 metres to nearest metre could be 1. However, you are wrong when you say the upper bound is 14.
Upper and lower bounds exam solutions examples, videos. Given a function f with domain d and a partially ordered set k. Gcse upper and lower bounds in relation to measurements. 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. I usually print these questions as an a5 booklet and issue them in class or give them out as a homework. Multiple if statements with upperlower bounds solved.
Upper and lower bounds archives gcse maths tutorials. All the sections contain worked examples with clear commentaries on them. The definitions can be generalized to functions and even to sets of functions. Oct 09, 2007 so i thought the definition of a, say, least upper bound, was that tex\alphatex is a least upper bound of e if it is an upper bound of e and if tex\gamma upper bound of e. If youre behind a web filter, please make sure that the domains. May 28, 20 the corbettmaths video tutorial on limits of accuracy upper lower bounds. 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. 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.
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