The Axe Valley Community College Revision Guides. GCSE Maths. Edexcel Linear 1MA0 Foundation Tier Grades D-G

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1 The Axe Valley Community College Revision Guides GCSE Maths Edexcel Linear 1MA0 Foundation Tier Grades D-G 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 D-G Topics What you need to know / be able to do COLLINS FOUNDATION 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 and the question number. 1 st success 2 nd success 3 rd success 4

5 Algebra (D) Multiply out expressions with brackets such as 3(x + 2) or 5(x 2) Page 85 Algebra (D) Factorise expressions such as 24x + 6 Page 85 Algebra (D) Algebra (D) Algebra (D) Write the terms of a sequence or a series of diagrams given the nth term Solve equations such as 3x 4 = 5 + x or 2(5x + 1) = 28 Substitute numbers into more complicated formulae Page 98 Page 86 Page 90 Algebra (D) Solve problems involving graphs Page 92 Algebra (D) Draw graphs of simple quadratic functions Page 95 Algebra (E) Algebra (E) Simplify expressions with more than one variable Write the term-to-term rule in a sequence involving negative or fractional numbers Page 84 Page 97 Algebra (E) Solve two stage linear equations Page 86 Algebra (E) Write an expression from a problem Page 88 Algebra (E) Substitute negative numbers into a simple formula Algebra (E) Plot the graphs of straight lines such as x = 3 and y = 4 Algebra (E) Algebra (F) Complete a table of values for equations and draw the graph Simplify expressions with one variable such as a + 2a + 3a Page 90 Page 93 Page 93 Page 84 5

6 Algebra (F) Algebra (F) Find a particular term in a sequence involving positive numbers Write the term-to-term rule in a sequence involving positive numbers Page 97 Page 97 Algebra (F) Solve one stage linear equations Page 86 Algebra (F) Substitute positive numbers into a formula Page 90 Algebra (G) Write down terms of a simple sequence Page 97 Algebra (G) Use a formula written in words Page 90 Number System (D) Number System (D) Number System (D) Number System (D) Number System (D) Number System (D) Number System (D) Number System (D) Estimate answers to calculations involving division Do calculations with simple fractions involving subtraction Multiply two decimals such as 2.4 x 0.7 Convert decimals to fractions and fractions to decimals Increase or decrease a quantity by a given percentage Express one quantity as a percentage of another Solve simple ratio and proportion problems Recall integer squares from 2 x 2 to 15 x 15 and the corresponding square roots Page 52 Page 35 Page 50 Page 55 Page 55 Page 56 Page 53 Page 41 Recall the cubes of 2, 3, 4, 5 and 10 Page 42 6

7 Number System (D) Round a number to one significant figure Work out fractions of quantities Find one number as a fraction of another Do calculations with simple fractions involving addition Do calculations with simple fractions involving multiplication Add and subtract decimals Compare percentages, fractions and decimals Work out a percentage of a given quantity Multiply and divide negative integers Calculate cubes and cube roots (with and without the use of a calculator) Use function keys on a calculator for powers and roots Solve simple speed problems Page 52 Page 35 Page 36 Page 33 Page 36 Page 50 Page 55 Page 56 Page 52 Page 42 Page 42 Page 54 Round numbers to given powers of 10 and to Page 31 7

8 Number System (G) given numbers of decimal places Estimate square roots Simplify fractions Arrange fractions in order of size Write down the place value of a digit Order decimals, for example, which is bigger, 0.24 or 0.3? Change a percentage to a fraction or a decimal and vice versa Add and subtract negative integers Calculate squares and square roots (with and without the use of a calculator) Convert between imperial and metric units Know rough metric equivalents of pounds, feet, miles, pints and gallons Make sensible estimates of a range of measures in everyday settings Find the factors of a number Page 42 Page 34 Mymaths Page 31 Mymaths Page 55 Page 39 Page 41 Page 78 Page 78 Page 78 Page 40 Round to the nearest integer Page 31 8

9 Number System (G) Number System (G) Number System (G) Number System (G) Number System (G) Write an integer correct to the nearest 10 or the nearest 100 Find equivalent fractions Understand positive and negative integers Decide which metric unit to use for everyday measurements Find the area of a triangle, parallelogram, kite and trapezium Find the area and perimeter of compound shapes Calculate the circumference of a circle to an appropriate degree of accuracy Calculate the area of a circle to an appropriate degree of accuracy Change between area measures such as m2 to cm2 Draw plans and elevations of threedimensional (3-D) solids Recognise corresponding angles and alternate angles Understand and use three-figure bearings Page 31 Page 33 Page 38 Page 78 Page 60 Page 59 Page 69 Page 69 Page 79 Page 72 Page 66 Page 68 Draw lines such as y = 2x + 3 Page 93 9

10 Reflect shapes in lines such as x = 2 and y = -1 Rotate shapes about the origin Identify reflection symmetry in 3-D solids Draw plans and elevations of 3-D solids Enlarge a shape by a positive scale factor from a given centre Translate a shape using a translation vector Draw a quadrilateral such as a kite or a parallelogram with given measurements Construct and recognise the nets of 3-D solids such as pyramids and triangular prisms Find the area and perimeter of compound shapes Find the volume of a cube or cuboid Draw a cuboid on an isometric grid and mark its dimensions Show that the angles of a triangle add up to 180 and use this to find angles Page 74 Page 75 Page 62 Page 72 Page 75 Page 74 Page 67 Page 71 Page 59 Page 79 Page 72 Page 64 10

11 Measure (F) Measure (F) Measure (F) Show that an exterior angle of a triangle is equal to the sum of the interior opposite angles Calculate interior and exterior angles of a quadrilateral Draw lines such as x = 3 and y = x + 2 Reflect shapes in the axes of a graph Enlarge a shape by a positive scale factor Find the measurements of the dimensions of an enlarged shape Use map scales to find a distance Draw a triangle given three sides, or two angles and a side, or two sides and the included angle Work out the area and perimeter of a simple rectangle Recognise acute, obtuse and reflex angles, estimate angles and measure them accurately Use coordinates in all four quadrants Page 65 Page 65 Page 93 Page 73 Page 75 Page 75 Page 71 Page 76 Page 59 Page 63 Page 93 Draw all the lines of symmetry on a 2-D Page 62 11

12 Measure (F) Measure (F) Measure (F) Measure (F) Measure (F) shape Give the order of rotations symmetry of a 2-D shape Give a scale factor of an enlarged shape Measure or draw an angle accurately to the nearest degree Draw the net of a simple solid such as a cuboid Find the perimeter of a shape by counting sides of squares Estimate the area of an irregular shape by counting squares and part squares Name the parts of a circle Find the volume of a solid by counting cubes and stating units Recognise and name three-dimensional (3- D) solids Sketch three-dimensional (3-D) solids Identify isosceles, equilateral and rightangled triangles Recognise and name shapes Page 62 Page 75 Page 63 Page 71 Page 59 Page 59 Page 69 Page 79 Page 80 Page 80 Page 64 Page 64 Use coordinates in the first quadrant Page 93 12

13 Draw the reflection of a shape in a mirror line Measure a line accurately to the nearest millimetre Handling Data (D) Calculate the mean for a frequency distribution Page 74 Mymaths Page 20 Handling Data (D) Find the modal class for grouped data Page 20 Handling Data (D) Construct a stem-and-leaf diagram (ordered) Page 21 Handling Data (D) Construct a frequency diagram Page 20 Handling Data (D) Handling Data (D) Handling Data (D) Handling Data (D) Use the fact that the probabilities of mutually exclusive events add up Classify and know the difference between various types of data Design and use data collection sheets and questionnaires Draw a scatter graph by plotting points on a graph Page 23 Mymaths Page 28 Page 27 Handling Data (D) Interpret the scatter graph Page 27 Handling Data (D) Draw a line of best fit ion the scatter graph Handling Data (D) Calculate simple average speeds from distance time graphs Page 27 Page 92 Handling Data (D) Use a two-way table to find a probability Page 25 13

14 Handling Data (E) Handling Data (E) Compare the mean and range of two distributions Calculate the fx column for a frequency distribution Page 18 Page 20 Handling Data (E) Construct a pie chart Page 26 Handling Data (E) Interpret a stem-and-leaf diagram Page 21 Handling Data (E) Design and use two-way tables for discrete and grouped data Page 25 Handling Data (E) Interpret distance time graphs Page 92 Handling Data (E) Understand the difference between experimental and theoretical probabilities Page 23 Handling Data (E) Understand and use relative frequency Page 23 Handling Data (F) Work out the range for a set of numbers Page 19 Handling Data (F) Calculate the mean for a set of numbers Page 18 Handling Data (F) Find the median for an even set of numbers Page 18 Handling Data (F) Interpret a pie chart Page 26 Handling Data (F) Plot points of a conversion graph and read off positive values Page 92 Handling Data (F) Understand and use a probability scale Page 22 Handling Data (F) Express a probability as a fraction Page 22 Handling Data (F) Display outcomes systematically Page 22 Handling Data (G) Find the mode for a set of numbers Page 18 Handling Data (G) Find the median for an odd set of numbers Page 18 Handling Data (G) Construct and interpret a pictogram Page 16 14

15 Handling Data (G) Construct and interpret a bar chart Page 17 Handling Data (G) Handling Data (G) Design and use tally charts for discrete and grouped data Understand and use the vocabulary of probability Page 16 Page 22 REVISION RESOURCES AND PAST PAPERS Materials Where can this be found or bought? This is helpful for Collins Foundation Tier GCSE Maths revision guide Available from your maths teacher for 3.99 ( 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 surname Password: newton 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. 15

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