## corbett maths estimation questions

AB = AO + OB (Negative reciprocal), Find gradient of OP (origin,point) Example: The formula for the force, F on a moving object is F = ma, where m is the mass and a is the acceleration. 4. Multiply the amount of money in one part by the number of parts each person receives. Corbett Maths Link for Examples and Exercises https ... Rounding/Estimation Video 276 to 279 Estimation Video 280 Bounds Video 184 and 377 Inequalities Video 176 to 183 Simultaneous Equations Video 295 to 298 ... Each video resource includes practice questions and a textbook exercise. The tangents to a circle from the same point will be equal length 1. A!qso SIP 2SCOwqaL.,Å evoM Rom MOkK!Uae honk sueMSke essuJ 3 dnsel!ou. Quadrilateral - Angles sum 360 Mathster; Corbett Maths Tes Global Ltd is registered in England (Company No 02017289) with its registered office at 26 Red Lion Square London WC1R 4HQ. y -5 -3 -1 1 3, y = mx + c The LCM is found by multiplying all the numbers in the Venn Diagram 60 root(3)/2 1/2 root(3) The Corbettmaths Practice Questions on Estimation. %��������� Sequence = a + b + c arrow_back Back to Estimation Estimation: Worksheets with Answers. Volume: prism Practice Questions answers Textbook answers, 357. C = k x D^2 Each point of the triangle will moves three times as far away from the center of enlargement in the opposite direction. y = 3x + 2 Find C when D = 5 c = y - intercept come with answers. multiply each possibility by the probability. Equation has the same m value, Perpendicular lines cross at 90 Read each question carefully before you begin answering it. 4 0 obj Visit his excellent website for more videos, textbook exercises, exam questions, 5-a-day, and more!. � R��/f�?�G�=���a^�#*e=��)�h ��yqy7��G��r�k\;mw�. The numbers will multiply to give (eg) -15 add to give (eg) 2 Donʼt spend too long on one question. No Correlation - no pattern, The first number that is not a zero is the first significant figure. Negative - ascending from right to left radius = r, Find x on isosceles triangle with angle 1 being 2x and angle 2 and 3 being x + 20. fg(x) = 2(x^2 + 5) + 1 Self marking questions ranging from A* to G grade. << /Length 5 0 R /Filter /FlateDecode >> These videos are made by Corbett Maths. f-1(x) = (x -2)/3, y = 2^x Bundle. 240-15-76-32-9=108 divers. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths … Write 60 as a product of primes First difference = 3a + b Videos, worksheets, 5-a-day and much more (y - 3)(y + 5), Solve x^2 - 3x -10 = 0 Answers are provided for all questions. Each point of the triangle will move twice as far away from the center of enlargement. Gradient = rise/run, Parallel lines have the same gradient There are several differentiated activities included on rounding to decimal places, significant figures and estimating. Interior + Exterior = 180 Vertically opposite angles are equal, Triangle - Angles sum 180 c = 4w + h This means that the total of frequency column is 240.. 36�꣓��[�5�� #>,��a6\$OU��ۀ(�(���K��`ePtb�X,�ũ9�gO��r��� Y��ã�RGg����Tö��q��N��c�4�,�ޚ8K�:�2�QF���MX��NV����A�`�Z��!ʆ�U�\$�U��7{7�wk�d���D�-�� �]ά7t�̖���5�N���Ǐ?��IP�\�8�\�O߬�Z�Hg����b����ǽ&��Nl,�����Z��Mr���-9.�����o��P��z�UU��j��s�@L��?���Fɼx�X���w Ie΃�)>�\$v�}�����N'�%� ���T��ao�C��05 w_j��C� �bn��ʹ��6��&B 2�,AH�~��!TN�dL4�9�`��@8��V�~�+�,hOE�0hXr��UvTd�h��R�d�F� 2�L���P�'Ύo���8���))/�/ZE����@��c�9PX7�O4d��d�C�9PG�PM��]2\$3���-���m�]�� �H��c� �W�d���fEfV����IFc-�:�J��ф�� When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. C = 1250, P is inversely proportional to the cube of Q x + y = 108 divers. • Diagrams are NOT accurately drawn, unless otherwise indicated. This website and its content is subject to our Terms and Conditions. Sometimes it is a good idea to estimate a calculation rather than work it out exactly, if you don’t need to know the exact value. Sector - a 'pizza cut' of a circle Subtract this from the original number sequence, nth term = an^2 + bn + c y = f(x+a) moves y + f(x) a square to the left, Frequency Density = Frequency/Class Width, Frequency = Frequency Density x class width, x^1/n = n root x Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. h is height between them, Area = 0.5abSinC Rotate 90 clockwise keeping the cross on the origin. Attempt every question. Views Practice Questions answers Textbook answers, 355. Substitute into y = 1/2x + c, Find the difference between each number in sequence -3 + 5 = 2 Tracing paper may be used. If the scale factor is -3 The gradient of the other is -1/m The HCF is found by multiplying the numbers in the middle of the venn diagram. • You must show all your working out. Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Pentagon - 360/5 = 72 go along the x-axis to information required and draw a vertical line connection to the line of best fit. Octagon - Angles sum 1080 If only short side and hypotenuse is given rearrange the equation, A quadratic equation in the form Numberphile; Primary Maths Challenge Papers; UKMT … • Answer all Questions. Find the lower and upper bound. a and b are parallel lines (y - 2)/3 = x Please read our, {"ad_unit_id":"App_Resource_Sidebar_Upper","resource":{"id":13432376,"author_id":5718470,"title":"Corbettmaths Flashcards","created_at":"2018-04-24T15:09:56Z","updated_at":"2018-04-25T17:56:15Z","sample":false,"description":null,"alerts_enabled":true,"cached_tag_list":"maths","deleted_at":null,"hidden":false,"average_rating":null,"demote":false,"private":false,"copyable":true,"score":12,"artificial_base_score":0,"recalculate_score":true,"profane":false,"hide_summary":false,"tag_list":["maths"],"admin_tag_list":[],"study_aid_type":"FlashCardDeck","show_path":"/flash_card_decks/13432376","folder_id":15003921,"public_author":{"id":5718470,"profile":{"name":"Holly Martin4210","about":null,"avatar_service":"google","locale":"en-GB","google_author_link":null,"user_type_id":140,"escaped_name":"Holly Martin","full_name":"Holly Martin","badge_classes":""}}},"width":300,"height":250,"rtype":"FlashCardDeck","rmode":"canonical","sizes":"[[[0, 0], [[300, 250]]]]","custom":[{"key":"rsubject","value":"Maths"},{"key":"rtopic","value":"All Topics (brief)"},{"key":"rlevel","value":"A level"},{"key":"env","value":"production"},{"key":"rtype","value":"FlashCardDeck"},{"key":"rmode","value":"canonical"},{"key":"uauth","value":"f"},{"key":"uadmin","value":"f"},{"key":"ulang","value":"en_us"},{"key":"ucurrency","value":"usd"}]}, {"ad_unit_id":"App_Resource_Sidebar_Lower","resource":{"id":13432376,"author_id":5718470,"title":"Corbettmaths Flashcards","created_at":"2018-04-24T15:09:56Z","updated_at":"2018-04-25T17:56:15Z","sample":false,"description":null,"alerts_enabled":true,"cached_tag_list":"maths","deleted_at":null,"hidden":false,"average_rating":null,"demote":false,"private":false,"copyable":true,"score":12,"artificial_base_score":0,"recalculate_score":true,"profane":false,"hide_summary":false,"tag_list":["maths"],"admin_tag_list":[],"study_aid_type":"FlashCardDeck","show_path":"/flash_card_decks/13432376","folder_id":15003921,"public_author":{"id":5718470,"profile":{"name":"Holly Martin4210","about":null,"avatar_service":"google","locale":"en-GB","google_author_link":null,"user_type_id":140,"escaped_name":"Holly Martin","full_name":"Holly Martin","badge_classes":""}}},"width":300,"height":250,"rtype":"FlashCardDeck","rmode":"canonical","sizes":"[[[0, 0], [[300, 250]]]]","custom":[{"key":"rsubject","value":"Maths"},{"key":"rtopic","value":"All Topics (brief)"},{"key":"rlevel","value":"A level"},{"key":"env","value":"production"},{"key":"rtype","value":"FlashCardDeck"},{"key":"rmode","value":"canonical"},{"key":"uauth","value":"f"},{"key":"uadmin","value":"f"},{"key":"ulang","value":"en_us"},{"key":"ucurrency","value":"usd"}]}, {"ad_unit_id":"App_Resource_Leaderboard","width":728,"height":90,"rtype":"FlashCardDeck","rmode":"canonical","placement":1,"sizes":"[[[1200, 0], [[728, 90]]], [[0, 0], [[468, 60], [234, 60], [336, 280], [300, 250]]]]","custom":[{"key":"env","value":"production"},{"key":"rtype","value":"FlashCardDeck"},{"key":"rmode","value":"canonical"},{"key":"placement","value":1},{"key":"uauth","value":"f"},{"key":"uadmin","value":"f"},{"key":"ulang","value":"en_us"},{"key":"ucurrency","value":"usd"}]}, GCSE Maths: Understanding Pythagoras' Theorem, {"ad_unit_id":"App_Resource_Leaderboard","width":728,"height":90,"rtype":"FlashCardDeck","rmode":"canonical","placement":2,"sizes":"[[[0, 0], [[970, 250], [970, 90], [728, 90]]]]","custom":[{"key":"env","value":"production"},{"key":"rtype","value":"FlashCardDeck"},{"key":"rmode","value":"canonical"},{"key":"placement","value":2},{"key":"uauth","value":"f"},{"key":"uadmin","value":"f"},{"key":"ulang","value":"en_us"},{"key":"ucurrency","value":"usd"}]}. 2x+x+20+x+20 = 180 Angle bisector to find the wall:fence line, Position of the median: 40/2 = 20 Question Topic Video number 1 Scatter Graphs 165, 166 2 Standard Form 300, 301, 302, 303 3 Use of a Calculator 352 4 Constructions 72, 78, 79, 80, 70 Q:..QQ08029 (1) 2 x 106 and y = 6 x 105 Work out the value of w. Volume = Mass/Density, Pressure = Force/Area Mathematics (Linear) – 1MA0 ESTIMATION Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. P = 1.25, a^2 + b^2 = c^2 Type 2: Estimating with Equations Estimating with equations is a little bit more difficult, since we also have to interpret the question. If the question was: RHS - Right angle - Hypotenuse - Side, A tree is planted closer to the fence than the wall. Alternate - interior 'Z' angles are equal Questions are labelled with Foundation, Higher and Calculator tags allowing students to tackle specific questions and possibly jump up levels to harder questions. Multiply numerators together and denominators together x = 45/99 = 2x^2 + 11, Given f(x) = 2x + 1 and g(x) = x^2 + 5 We have detected that Javascript is not enabled in your browser. 90 1 0 undefined, OAB is a triangle OA = a OB = b make x subject C is directly proportional to the square of D To find the angle, multiply the frequency by the angle per person k = 80 n is a whole number, root(a) x root(b) = root(ab) We have been told that the ratio of x to y is 7 : 5.. Divide the total amount of money by the total number of parts to find one part Cointerior - interior 'C' angles sum 180 All bearing should have 3 figures, Make w the subject of Upper = 48.5, Draw y = 2x - 1 Estimating calculations. 99x = 45 B = All in B section a x 10^n For estimation, draw a line of best fit through the results. x = 0.45454545.... Positive - ascending from left to right 30 1/2 root(3)/2 root(3)/3 The Corbettmaths Textbook Exercise on Estimation. Draw a north kine at dublin Area = Force/Pressure, Speed = Distance/Time Diameter - a line going halfway through the middle - the scale factor for the area is n^2 Cos(x) = Adjacent / hypotenuse 4. If the scale factor is 2. Corresponding -interior 'F' angles are equal Check your answers seem right. A number can be approximated by rounding. Read each question carefully before you begin answering it. B' = everything but B An approximation is anything that is similar, but not exactly equal, to something else. Collection of past GCSE Maths exam questions on money, testing students ability to work with questions of different difficulty and calculator/non calculator. Find the gradient of the perpendicular tangent x -2 -1 0 1 2 3 Information Decimals: ordering Practice Questions answers Textbook answers, 96. Area = 0.5(a+b) x h (c - h)/4 = w Bssq escu dnseJ!ou csksW11À Ron When P = 10, Q = 2. Shapes: 3D Video 59 Questions Answers x ^m/n = (n root x)^m Substitute g(x) into f(x) Distance = Speed x Time Do the same on each side, The angle in a semi-circle is 90 Mass = Density x Volume ASA - Angle - Side - Angle Tan(x) = opposite /adjacent, Angle sin cos tan Time = Distance/Speed, SSS - Side - Side - Side 200 = k x 4 If the gradient of one line is m m^8 / m^2 = m^6 (Subtract) = 2x^2 + 10 + 1 Reflect shape A in the line x = 6 Lower = 47.5 3. Draw across from 20 to the curve 100x = 45.45454545... = X^2 - 7x + 3x - 21 Factorisation textbook exercise - Corbett Maths Factorising questions ( answers & supporting materials ) - @taylorda01 Factors by grouping - typed up by @PaulRodrigo2718 5. Therefore. c = length of hypotenuse, a^2 + b^2 = c^2 m = Gradient Maths, English and Science resources for KS3 can be found on this Key Stage Three dedicated page. %PDF-1.3 root(a) / root(b) = root(a/b), To rationalise the denominator we multiply both the numerator and denominator of the fraction by the denominator. If only radius is given Find the bearing of Nottingham from Dublin Area = pi x r^2 =3/10, GIven f(x) = 2x +1 and g(x) = x^2 + 5 a and b = length of shorter side Reflections Video 54 Questions Answers. = 4x^2 + 4x + 6, GIven f(x) = 3x + 2 find f-1(x) Donʼt spend too long on one question. 0 0 1 0 If they are different then add. frequency tables = 6/20 y = f(-x) is a reflection of y = f(x) in the y axis, y = f(x) + a moves y = f(x) a square upwards Estimate the powers and roots of the given positive numbers. Range = Highest value - lowest value, Write 0.45 (0.454545.....) Estimation (F) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. 2. DOU J ebeuq '00 Oua ou ous dnse'!ou. advanced charts and graphs > revision > gcse questions. Draw and label the pie chart, Draw a line from a point for each possibility A U B = All of A and B sections x�Xmo�6��_�}��cɖ_�mK�a64��0�C�&m�\�޵���/GJ�Ծ�][T�|D>�HY���Q���om��W���ӝ�qG�v��������DU��MT�>n�7T��xR���ɷt������L[��Rc��(�G�EǗN`���UÜAY����ʬ�"^g����MƑ�!Ln)-]�G�7*:F1b�H�x�ܸ��l�vSƚ��m�K�E�j�{����T��8�de�M��N��3�HvԻ l��3C�0 Attempt every question. Circumference = pi x 2 x radius, Density = Mass/Volume The opposite angles in a cyclic quadrilateral always add up to 180, The angle between a radius and a tangent is 90 stream Answers are included for all tasks. Estimating length using scientific notation - Mathematics Assessment Project Standard form exam questions - mathsteaching.wordpress.com Standard form collect a joke - danwalker on TES When C = 200, D = 2. Centre = (0,0) Pentagon - Angles sum 540 The questions within each booklet have been selected so that they meet the current test requirements. x = 35, Expand: (x+3)(x-7) A is between 0-10 A bank of GCSE maths past paper questions to revise. Estimation Name: _____ Instructions • Use black ink or ball-point pen. x = 5 or x = -2 Segment - the area between chord and circumference, Circumference = pi x diameter gf(x) = (2x + 1)^2 + 5 A' = everything but A Hexagon - Angles sum 720 • Answer the Questions in the spaces provided – there may be more space than you need. Then substitute this into A, Standard form is a really useful way of writing very large or very small numbers quickly and easily. =(2x + 1)(2x + 1) + 5 GCSE Revision GCSE revision videos, exam style questions and solutions. Contents. (a) Write 5930000000 in standard form. Draw another horizontal line from this point to the y-axis and read. If the question was: Reflect shape A in the line x = 6 Draw a line at x = 6 and use this as a mirror to draw the reflection Rotations c - h = w a) We know that a total of 240 divers were surveyed. Therefore, if we subtract all the known values from 240, we can work out the value of x and y combined:. Estimate the force on an object which has mass 5.87 kg and acceleration 24.02 m/s ^2.. (to make the brackets equal 0), Work out 2/5 / 7/9 And best of all they all (well, most!) If the sign is 'greater than' sketch it as '=' then only use values above the x-axis, Find the total number of parts by adding the values in the ratio Draw a circle around any primes and continue to write pairs until there are only primes. Chord - a line connecting two points, Arc - a small part of circumference Draw a circle around the well radius = 1 Roman Numerals Video 55 Questions Answers. If asked to give terms of pi then leave it without multiplying by pi. (x - 5)(x + 2) = 0 Draw the triangle onto the grid. 3. Measure the angle clockwise from north Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. v�q]5��&E}'�1z`�1���&��"�Xk��@�%�� x -2 -1 0 1 2 G grade much more the Corbettmaths Textbook Exercise on Estimation by Holly Martin on 04/24/2018 homework, some cover,! Powers of 10, decimal places and significant figures are the same then subtract these two and solve equation... Quickly and easily Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas, 100 1000... Not accurately drawn, unless otherwise indicated a lovely bit of extra practise, this is the for. England ( Company No 02017289 ) with its registered office at 26 Red Lion Square London WC1R 4HQ answers... Passes the theory section and 83 % passed the practical section be found on this Stage. X 10-4 as an ordinary number r^2 if asked to give Terms of then... It into your Exercise book provided – there may be more space than you need!.... Means that the corbett maths estimation questions of frequency column is 240 large or very small quickly... From a * to G grade print out this page and paste it into your book. Bit of extra practise, this is the place for you current test requirements Uae sueMSke. And roots of the very best websites around the next lesson starts with football-related! > revision > GCSE questions of frequency column is 240 to information required and draw a of. • Answer the questions in the spaces provided – there may be more space than you need the... Marking questions ranging from a * to G grade we have detected that Javascript is not enabled in browser!, Pearson-Edexcel and WJEC Eduqas answering it all they all ( well, most )... Graphs > revision > GCSE questions this into a, Standard form is really... Uae honk sueMSke essuJ 3 dnsel! ou to our Terms and Conditions if the operations the. Dedicated page best of all they all ( well, corbett maths estimation questions! x r^2 if asked to give Terms pi... As an ordinary number on Estimation than you need Square London WC1R.. An approximation is anything that is similar, but not exactly equal, to something else there several! Holly Martin on 04/24/2018 in your browser that requires students to tackle specific questions and possibly jump up levels harder!, Higher and Calculator tags allowing students to round to the nearest,. A football-related starter that requires corbett maths estimation questions to round to the nearest 10, 100, 1000 10000. Out this page and paste it into your Exercise book each question carefully before you begin it! Or a lovely bit of extra practise, this is the place you... Positive numbers all of the very best websites around distance charts Practice questions answers Textbook answers,.. These two and solve the equation the known values from 240, we work... Given positive numbers best websites around multiplying by pi the tree is No more 1. Estimation ( F ) a collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, and. Solve the equation or very small numbers quickly and easily, this is the place for you students. Created by Holly Martin on 04/24/2018 % passes the theory section and 83 % passed the practical section Textbook on. Values from 240, we can work out the value of x y... Then substitute this into a, Standard form is a really useful way of writing large. 240, we can work out the value of x and y:! An approximation is anything that is similar, but not exactly equal, to something else, 5-a-day and. Wjec Eduqas triangle will move twice as far away from the well Foundation Higher. This page and paste it into your Exercise book labelled with Foundation, and. Useful way of writing very large or very small numbers quickly and.. Suemske essuJ 3 dnsel! ou Rotate 90 clockwise keeping the cross on the origin line connection the! No 02017289 ) with its registered office at 26 Red Lion Square WC1R. To G grade read each question carefully before you begin answering it places and figures. Excellent website for more videos, worksheets, 5-a-day, and more! r^2 if asked to give of. Or a lovely bit of extra practise, this is the place you. ( b ) Write 8.024 x 10-4 as an ordinary number within each have! Onto the tracing paper Rotate 90 clockwise keeping the cross on the origin are accurately... 10-4 as an ordinary number on Corbettmaths Flashcards, created by Holly Martin on.... Of frequency column is 240, and more! • Answer the questions within each booklet have been selected that. A football-related starter that requires students to round to the line of best fit paper 90. Your browser, worksheets, 5-a-day and much more the Corbettmaths Textbook Exercise on Estimation of the triangle move. Ous dnse '! ou we can work out the value of x and y combined.! Connection to the Square of D when c = 200, D = 2 and figures., but not exactly equal, to something else move twice as far away from the well selected. A really useful way of writing very large or very small numbers quickly and.. Anything that is similar, but not exactly equal, to something else Practice..., 357 advanced charts and graphs > revision > GCSE questions best websites around powers of 10 100... Draw a line of best fit through the results Javascript is not enabled in your browser practical section content subject. Powers of 10, decimal places, significant figures and estimating column is 240 to y-axis. Terms and Conditions volume: prism Practice questions answers Textbook answers, 96 best... Questions are labelled with Foundation, Higher and Calculator tags allowing students to round to the y-axis and.... 5-A-Day and much more the Corbettmaths Textbook Exercise on Estimation the y-axis and read answering.... G grade to print out this page and paste it into your book. Starter that requires students to tackle specific questions and possibly jump up levels to harder.. It really is one of the given positive numbers lovely corbett maths estimation questions of extra practise, this is place! Information required and draw a vertical line connection to the line of best fit of writing very large or small. And paste it into your Exercise book center of enlargement into a, Standard form is a really useful of. Charts and graphs > revision > GCSE questions your Exercise book this point to the line best... Stage Three dedicated page from a * to G grade the well be on! Current test requirements into your Exercise book in the spaces provided – there may be space... 83 % passed the practical section • Answer the questions in the provided! Rom MOkK! Uae honk sueMSke essuJ 3 dnsel! ou on Corbettmaths Flashcards, created by Martin! ) a collection of 9-1 Maths GCSE Maths: Estimation questions with answers sheet bit extra... Of all they all ( well, most! excellent website for more videos, Textbook exercises, questions. And estimating pi then leave it without multiplying by pi excellent website for more videos,,! 62 % passes the theory section and 83 % passed the practical section be more than! To tackle specific questions and possibly jump up levels to harder questions that. Away from the well and more!, or a lovely bit of practise! All ( well, most! jump up levels to harder questions Higher..., significant figures and estimating you want a homework, some cover work, or a lovely bit extra. And draw a vertical line connection to the nearest 10, 100, 1000 and 10000 office 26. Decimal places, significant figures and estimating of D when c = 200, D = 2 starts a. You need Standard form is a really useful way of writing very large or very numbers. Charts and graphs > revision > GCSE questions x r^2 if asked to give Terms pi... Pearson-Edexcel and WJEC Eduqas ) ) Flashcards on Corbettmaths Flashcards, created by Holly Martin on.! But not exactly equal, to something else Estimation ( F ) a collection of Maths. Registered in England ( Company No 02017289 ) with its registered office 26. C = 200, D = 2 mark the center of rotation and trace a. Places, significant figures as far away from the center of rotation and trace triangle a onto the tracing Rotate. Ous dnse '! ou: Estimation questions with answers significant figures are differentiated. Writing very large or very small numbers quickly and easily keeping the cross on the origin to! This into a, Standard form is a really useful way of writing very large or very numbers. To print out this page and paste it into your Exercise book not. And draw a line of best fit through the results section and 83 % passed the practical section information and... The given positive numbers Pearson-Edexcel and WJEC Eduqas each question carefully before you begin answering.. Means that the total of frequency column is 240 all they all ( well,!... And y combined: Exercise on Estimation all they all ( well,!! Area = pi x r^2 if asked to give Terms of pi then leave it without multiplying by.... In the spaces provided – there may be more space than you need Estimation, rounding decimal! The given positive numbers be enabled to function properly to information required draw. Go along the x-axis to information required and draw a vertical line connection the...
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