Gcse revision upper and lower bounds teaching resources. Examstandard questions and model answers on lower and upper bounds, for edexcel gcse higher 2015 gcse. This video is part of the bounds module in gcse maths, see my. Determine the upper and lower bounds when rounding or truncating quantities used in calculations mathswatch answers upper and lower bounds. Bounds limits of accuracy free maths teaching resources.
Upper and lower bounds higher gcse exam style questions free download as word doc. Apr 30, 2018 a free powerpoint lesson on upper and lower bounds aimed at ks3ks4 gcse. Edexcel international gcse 9 1 student book 1 savvas. What are upper and lower bound 1 maths help explainingmaths. Mathswatch clip 206 upper and lower bounds page 206a. There are 3 key skills that you need for upper and lower bound questions. Jan 17, 2019 tes for schools log in register for free. A quick powerpoint ive made on assessing understanding of rounding, upper and lower bounds all of which is animated as i plan to use mini whiteboards to check their knowledge then leading to calculations.
Detailed solutions are provided which use colour to help explain the methods used. Facebook0tweet0pin0like0share0email0past paper past paper bounds. Gcse maths year 8 number 2 quiz on upper and lower bounds, created by ellen billingham on 110520. On the other hand, 6 is not a lower bound for s since it is not smaller than every element in s. Concrete models and tight upper lower bounds last changed. Work out the upper bound for the perimeter of the rectangle. Lots of opportunities for discussion, differentiated main task and answers included. Upper and lower bounds revision for maths gcse and igcse. Edexcel gcse mathematics linear upper and lower bounds. What are upper and lower bound 1 maths help igcse and gcse. This page contains 3 trial and improvement worksheets for gcse maths. These topicbased compilations of questions from past gcse papers are supplemented by new questions which have not yet been asked, but which could be. 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.
Upper and lower bounds and error intervals maths worksheet ks3. Give your answer correct to 3 significant figures an arrow is shot vertically upwards at a speed of v metres per second. This smallest possible value is called the lower bound of the. Upper and lower bounds gcse questions upper and lower bounds solutions powers and roots. Gcse style questions arranged by topic bounds in the style of.
The sheets contain a wide selection of examtype questions which gradually increase in difficulty, with the last questions often having an extra twist. This twobook series is written for students following the edexcel international gcse 91 maths a higher. This revision video contains the solutions to 8 exam style questions on the following topics. Jan 17, 2019 ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty. Calculate the upper bound for the area of triangle abc, 2 angle cab xo. Determine lower bounds, upper bounds and error intervals after rounding or truncating. This video will go through how to find the upper and lower bound for a number. The definitions can be generalized to functions and even to sets of functions. Accuracy exercises eple book pdf free download link or read online here in pdf. Nuffield freestanding mathematics activity errors student sheets. Higher tier questions and model answers 2 pdf files. You may view or download the pdf version of this worksheet with answers here. Apply and interpret limits of accuracy higher tier.
My aim has been to provide a complete coverage of the types of questions that could be asked for each topic. Drfrostmaths provides an online learning platform, teaching resources, videos and a bank of exam questions, all for free. How to work out upper and lower bounds 5 gcse question. A flowerbed measures 10 m x 6 m to the nearest metre. Revision notes on calculations using bounds for the aqa gcse maths exam. Cambridge igcse mathematics provides a strong foundation of mathematical. Mme gives you access to bounds worksheets, practice questions and videos to help you revise bounds. These are the upper and lower bounds on the interval. I want to help you achieve the grades you and i know you are capable of. Work out the lower bound for the circumference of the circle. To get the minimum possible value of a result the lower bound, you must multiply the lower bounds together. Before engaging with trial and improvement students will want to explore rounding, including upper and lower bounds.
Pdf upper and lower bounds tanbin siddiqui academia. At the end of 2017 the tes announced that i was the most downloaded new author and in 2018 another 2. Limits of accuracy worksheet gcse maths worksheets. Nuffield foundation 2011 0 downloaded from when something. Maths genie free online gcse and a level maths revision. Find the upper and lower bounds of the area of the flowerbed. How to find upper and lower bounds examsolutions youtube. Each trial and improvement worksheet contains practice questions and answers in a pdf. Bounds upper and lower bound calculations grade 79 maths. Given a function f with domain d and a preordered set k. There are 3 key skills that you need for upper and lower bound questions make sure you are happy with the following topics before continuing. The set s 42 has 42 as both an upper bound and a lower bound. Bounds limits of accuracy complete lesson on upper and lower bounds and calculating with them. Instructions mathswatch answers upper and lower bounds.
This worksheet explores bounds in a variety of units and practical situations. In this video tutorial, we show you how to find upper and lower bounds of estimated or rounded values using a number line. Calculate the upper bound for the area of the rectangle. Every finite subset of a nonempty totally ordered set has both upper and lower bounds. What are the lower and upper bounds of its area, in square centimetres, correct to one decimal place.
Upper bound 149 cups, lower bound 148 cups question. Bounds are the smallest the lower bound lb and largest the upper bound ub. Examstandard questions and model answers on lower and upper bounds, for aqa gcse higher 2015 gcse 91 specification. The use of bounds is a practical mathematical method quite different from decimal rounding. Upper and lower bounds are the upper and lower values that a number can have as a result of rounding or approximating that number. Work out the upper bound and lower bound for the following measurements. In order to access worksheet number 3 students will have already learnt about inequalities. Upper and lower bounds including calculations teaching. View, download and print edexcel gcse mathematics linear upper and lower bounds pdf template or form online. 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.
Find the interval within which m, the actual mass of the bread, lies. Write down all the figures on your calculator display. It will also go through upper and lower bounds in calculations. The width of the rectangle, b, is 26 cm correct to the nearest cm. Calculations using bounds aqa gcse maths revision notes. Mar 02, 2019 i got fed up of hunting for resources. Upper and lower bounds higher gcse exam style questions. Very popular with students, these worksheets with solutions are great for topicbased revision. Lower and upper bounds describe all the possible values that an approximated number or measurement could have been before it was rounded. If a number has already been rounded, you may be asked to find the upper and lower bounds of it.
Decide whether the quantities are discrete or continuous and then state the upper and lower bounds. Make sure you are happy with the following topics before continuing. Thank you very much for downloading igcse mathematics limits of accuracy exercises example. You may be asked to interpret or use inequalities for upper and lower bounds. Calculations using bounds edexcel igcse maths revision notes. However, there are an infinite number of upper bounds greater than 85 and an infinite number of lower bounds less than 15. A stepbystep guide is given alongside practice of using decimal places and significant figures. Past paper exam questions organised by topic and difficulty for edexcel igcse maths. Find the interval within which l, the actual length of the string, lies. Gcse 1 9 bounds instructions use black ink or ballpoint pen. Edexcel gcse mathematics linear 80 paper 4 calculator bounds past paper questions arranged by topic materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser, calculator. The parquet puzzle contains the upper and lower bounds to answer a set of edexcel gcse past paper questions. State the upper and lower bounds for each of the following quantities and write an inequality for the actual value in each case. A rectangle has length 12cm correct to the nearest cm and width 4.
These topicbased compilations of questions from past gcse papers are supplemented by additional questions to provide fullcoverage of each topic. Gcse mathematics calculator paper 10 practice paper style questions topic. All students should be able to calculate the upper and lower bounds for a number rounded to the nearest power of ten and decimal place using a number line. When calculating, make sure to take careful steps to get the maximum possible value of a result the upper bound, you must multiply the upper bounds together.
Includes calculations in terms of bounds subtractingaddingmultiplyingdividing. Bounds are the smallest the lower bound lb and largest the upper bound ub numbers that a rounded number can lie between. Upper and lower bounds approximation edexcel gcse maths. I will explain to you how to find the upper and lower bound of a. These questions are suitable for higher tier students. The upper bound for the volume of the prism is 51561. A video revising the techniques and strategies for looking at bounds calculations higher only. Speci c models and problems examined in this lecture.
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