The Axe Valley Community College Revision Guides. GCSE Maths. Edexcel Linear 1MA0/ Higher Tier Grades A*-B

Transcription

1 The Axe Valley Community College Revision Guides GCSE Maths Edexcel Linear 1MA0/ Higher Tier Grades A*-B 1

2 GUIDE TO PAPER 1 Overview Question structure / Marks Tips on answering questions Mini paper tracker (keep a record of your scores/grades here) Non calculator paper. Contributes 50% of the qualification. 1 hour 45 minutes. 100 marks. This is approximately 1 minute per mark. Make sure that you have all of your own mathematical equipment. Check the units of your answer. Have you followed the instructions carefully? Check all calculations carefully at the end. Have you given your answer to the specified degree of accuracy (eg. 2 decimal places or 4 significant figures)? This part of the answer is often worth a mark, just for being able to round correctly. Give good reasons when asked, using the correct terminology. These explanations are worth Papers A and B Papers E and F Papers I and J 2

3 points. Show all working out to guarantee yourself the marks. GUIDE TO PAPER 2 Overview Question structure / Marks Tips on answering questions Mini paper tracker Calculator paper. Contributes 50% of the qualification. 1 hour 45 minutes. 100 marks. This is approximately 1 minute per mark. Make sure that you have all of your own mathematical equipment and know how to use your own calculator. Check the units of your answer. Have you followed the instructions carefully? Check all calculations carefully at the end. It s easy to press the wrong key on a calculator. Have you given your answer to the specified degree of accuracy (eg. 2 decimal places or 4 significant Papers C and D Papers G and H Papers K and L 3

4 figures)? This part of the answer is often worth a mark, just for being able to round correctly. Give good reasons when asked, using the correct terminology. These explanations are worth points. Write down any sum that you have typed into the calculator. Show all working out to guarantee yourself the marks. GUIDE TO REVISION FOR GRADES A* - B Topics What you need to know / be able to do COLLINS HIGHER TIER REVISION GUIDE PAGE NUMBERS Success tracker (please tick when you successfully complete a question on this topic). Make a note of which paper it was on and the question number. 1 st success 2 nd success 3 rd success 4

5 Algebra (A*) Algebra (A*) Algebra (A*) Algebra (A*) Algebra (A*) Algebra (A*) Factorise harder quadratics expressions by completing the square. Solve complex quadratic equations by manipulation Use completing the square to solve equations and find maximum and minimum values Solve a pair of simultaneous equations where one is linear and one is the equation of a circle Solve cubic equations by drawing appropriate lines on graphs Plot and sketch graphs of exponential functions Page 81 Page 80 Page 81 Page 93 Page 90 Page 90 Algebra (A*) Transform the graphs of y = f(x) Page 98 Algebra (A) Factorise harder quadratics Page 79 Algebra (A) Algebra (A) Algebra (A) Rearrange formulae where the variable appears twice Explore the gradients of perpendicular straight-line graphs Use the points of intersection of a quadratic graph with lines to solve equations Page 95 Page 87 Page 88 Algebra (A) Solve equations using the quadratic formula Page 80 Algebra (A) Solve a pair of simultaneous equations where one is linear and one is non-linear Page 93 5

6 Algebra (B) Expand (and simplify) quadratic expressions Page 78 Algebra (B) Factorise quadratic expressions Page 79 Algebra (B) Simplify rational expressions by factorising Page 72 Algebra (B) Algebra (B) Rearrange formulae that include brackets, fractions and square roots Explore the gradients of parallel straightline graphs Page 77 Page 87 Algebra (B) Solve quadratic equations by factorisation Page 80 Algebra (B) Solve linear inequalities Page 96 Algebra (B) Algebra (B) Algebra (B) Number System (A*) Number System (A*) Number System (A) Number System (A) Solve a set of linear inequalities in two variables and represent the solution as a region of a graph Solve a pair of simultaneous equations in two unknowns Complete tables for, and draw graphs of cubic and reciprocal functions Page 97 Page 76 Page 90 Use index notation and index laws for fractional powers such as 16 ¾ Page 37 Simplify surds, such as write (3-5)² in the form a + b 5 Solve direct and inverse proportion problems Interpret graphs of direct and inverse proportion relationships Page 39 Page 40 Page 40 Use index notation and index laws for Page 37 6

7 Number System (A) Number System (A) Number System (A) Measure (A*) Measure (A*) Measure (A*) fractional powers such as 16 ½ Rationalise the denominator of a surd Find the upper and lower bounds of more difficult calculations Convert recurring decimals to fractions and fractions to recurring decimals Work out compound interest Work out reverse percentage problems Calculate proportional changes using a multiplier Convert between numbers in ordinary and standard index form Use standard index form with and without a calculator Find the upper and lower bounds of simple calculations Find the volume the frustum of a truncated cone Use trigonometry to find sides and angles in three dimensions Find the angle between a line and a plane Page 39 Page 41 Page 38 Page 33 Page 33 Page 32 Page 38 Page 38 Page 41 Page 46 Page 49 Page 52 Understand the graphs of trigonometric Page 53 7

8 Measure (A*) functions for angles of any size Find the volume and surface area of pyramids, cones, spheres and truncated cones. Find the length of a major arc of a circle Find the area of a segment of a circle Prove the tangent / chord properties of a circle Enlarge a shape by a negative scale factor Compare areas and volumes of enlarged shapes Construct the graphs of loci, including the circle Add, subtract and multiply vectors to solve vector geometry problems Understand the relationship between parallel and perpendicular vectors Prove that two triangles are congruent Use Pythagoras theorem in 3-D problems Sketch and draw trigonometric graphs Page 46 Page 44 Page 44 Page 59 Page 62 Page 67 Page 65 Page 68 Page 69 Page 100 Page 48 Page 53 8

9 Measure (B) Measure (B) Measure (B) Measure (B) Handling Data (A*) Handling Data (A) Use the sine rule and cosine rule to find the missing sides and missing angles in any triangle Use the formula for the area of a non right-angled triangle Use the tangent / chord properties of a circle Apply trigonometry to right-angled triangles Match sides and angles of similar triangles, given some dimensions Find the distance between two points from their coordinates Draw tree diagrams and use them to find probabilities of successive dependent events Construct and interpret a histogram with unequal class intervals Page 54 Page 56 Page 59 Page 49 Page 66 Page 47 Page 26 Page 17 Handling Data (A) Use stratified sampling methods Page 19 Handling Data (A) Handling Data (B) Handling Data (B) Use tree diagrams to find probabilities of successive independent events Construct and interpret a cumulative frequency diagram Use a cumulative frequency diagram to estimate the median and interquartile range Page 25 Page 22 Page 22 Handling Data (B) Construct and interpret a box plot Page 22 9

10 Handling Data (B) Compare two sets of data using box plots Page 22 Handling Data (B) Complete a tree diagram Page 25 Handling Data (B) Use the trend line to estimate other values Page 21 Handling Data (B) Interpret velocity time graphs Page 83 Handling Data (B) Discuss and interpret graphs modelling real situations Page 83 REVISION RESOURCES AND PAST PAPERS Materials Where can this be found or bought? This is helpful for COLLINS GCSE Maths revision guide Available from your maths teacher for 3.99 (10.99 in shops) ISBN: Mini papers Used in conjunction with Next 20 marks books the mini papers should play a vital role in your revision Mymaths website Username: axevalley Password: square Mathswatch website Centre id: axevalley username: first 3 letters of forename followed by first 3 letters of Full of instructions and examples on all areas of maths. Exam style questions and answers are also included. Great for practicing the techniques that you have learnt and also very useful in finding the areas that you need to develop further. Online lessons and practice questions with instant feedback. Videos showing step by step instructions on answering questions. 10

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