When a number has been recorded to a certain accuracy for instance, the nearest metre, we can work out its highest and lowest possible values according to the limits of accuracy provided. Gcse mathematics key topic practice sheets lower and upper bounds aqa higher these questions are suitable for higher tier students. In this exercise we are going to look at upper and lower bounds. Guided practice worksheet b a questions are targeted at the grades indicated. Give your answer in miles per hour to a suitable degree of accuracy. If a value is rounded, its upper or lower bound as appropriate should be used when finding the largest or smallest possible answers to a calculation.
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. Practice gcse exam questions on upper and lower boundaries. Upper and lower bounds exam solutions examples, videos.
Gcse revision upper and lower bounds teaching resources. Upper and lower bounds gcserevision, maths, shapespace. 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. 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.
Lower and upper bounds practice sheet questions aqa. 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. I also make them available for a student who wants to do focused independent study on a topic. To get the minimum possible value of a result the lower bound, you must multiply the lower bounds together.
Igcse question, upper and lower bounds the student room. Upper and lower bounds examples, solutions, videos. S4 find the upper and lower bounds for discrete data y9 unit 7 level curriculum learning objectives curriculum reference numbers p3s1 find the hcf and lcm of two numbers s2 find the hcf and lcm of three numbers less than 100 y9 unit 8 s2 find the prime factor decomposition of a whole number y9 unit 8. Ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty. Gcse questions gcse questions rounding, estimation and checking. Following that i will show you a quick and easy method of finding upper and lower bounds.
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. 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. Learn about and revise approximation using a range of rounding and estimation techniques with this bbc bitesize gcse maths edexcel study guide. I usually print these questions as an a5 booklet and issue them in class or give them out as a homework.
May 31, 2014 practice gcse exam questions on upper and lower boundaries. A selection of some of my favourite, free maths activities to use in lessons. Speed, distance, time area of a circle standard form surface area of a sphere the word document contains the questionsanswers. An example of an actual bounds question appearing in an igcse paper is. With the help of computer, we obtain that there is exactly one graph in the set of 2, 2, 4. A set of 8 gcse exam style questions on upper and lower bounds.
If a value is rounded, its upper or lower bound as appropriate should be used when finding the largest or smallest possible answers to. What are upper and lower bound help with igcse gcse. These questions are often poorly done on exams as students usually fail to realise what the question is. On your igcse gcse maths exam paper you can expect a question involving upper and lower bound. State the lower and upper bounds of the following prices. Sep, 2017 ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty. 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. Lower and upper bounds practice sheet questions aqa higher v3. Past paper questions upper and lower bounds maths answers. Write down all the figures on your calculator display.
Lower and upper bounds practice sheet questions aqa higher v2. Finding the upper and lower bounds of the numbers involve give. Calculate the upper bound for the area of the rectangle. Edexcel international lower secondary curriculum mathematics.
They are designed to be printed at either a4 or a5 and there is space for students to do their working as well as to write their answers. 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. Apply and interpret upper and lower bounds approximation. The upper bound for the volume of the prism is 51561. The corbettmaths video tutorial on limits of accuracy upper lower bounds. Calculate the upper bound for the area of triangle abc, 2 angle cab xo. 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. Oct 25, 2017 the first example explains what upper and lower bounds are. Examstandard questions and model answers on lower and upper bounds, for edexcel gcse higher 2015 gcse 91 specification. If i then asked you to get the upper and lower bounds, you would proceed to do the following. Mathswatch clip 206 upper and lower bounds page 206a. This worksheet explores bounds in a variety of units and practical situations. The width of the rectangle, b, is 26 cm correct to the nearest cm. Upper and lower bounds approximation edexcel gcse maths.
For 2 decimal places, the lower bound is found by subtracting 0. Gcse mathematics calculator paper 10 practice paper style questions topic. Upper and lower bounds worksheets, questions and revision. Upper and lower bounds topics it would be useful for students to know. The corbettmaths video tutorial on limits of accuracy upperlower bounds.
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. We are working hard on a new platform for setting, building and monitoring homework. Question about numbers lower and upper bounds related articles alevel mathematics help making the most of your casio fx991es calculator gcse maths help alevel maths. Gcse upper and lower bounds in relation to measurements. Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, hb pencil, eraser, calculator. Upper and lower bounds archives gcse maths tutorials. I have tried out each and every one with my students. 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. Scroll down the page for more examples and solutions on calculating upper and lower bounds. Fill in the boxes at the top of this page with your name, centre number and candidate number. 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. More lessons for gcse maths math worksheets examples, videos, solutions, activities, and worksheets that are suitable for gcse maths. By considering both upper and lower bounds, work out the maximum and minimum average speed for this journey. Calculate the upper and lower bounds for each of the following questions.
In this note, we will improv e the upper and lower bounds for f v 4, 4. Calculate upper and lower bounds of, if each of the numbers is given to two significant figures. The first example explains what upper and lower bounds are. Upper and lower bounds worksheet gcse maths worksheets. The pyramid cheops in egypt is a square based pyramld. Work out the a upper bound of pq b lower bound of pq a. 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. May 28, 20 the corbettmaths video tutorial on limits of accuracy upper lower bounds. Approximation upper and lower bounds describe the limits of accuracy for a given value. The use of bounds is a practical mathematical method quite different from decimal rounding. 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.
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