Paper 1 Foundation Revision List

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Ross Daniel
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1 Paper 1 Foundation Revision List Converting units of length 692 Converting units of mass 695 Order of operations 24 Solving one step equations 178 Operations with negative numbers 39, 40 Term to term rules 197, 262 Writing formulae, collecting like terms 155, 156 Finding the coordinates of a point 199 Plotting coordinates 199 Determining if a point is on a line 206 Drawing an x = c graph 205 Area of a rectangle, factors of an integer 554, 27 Dividing numbers by hand 22 Finding and interpreting range 410 Mode from a stem and leaf diagram 430 Direct proportion, word problem 339 Direct proportion, word problem 339 Completing a two-way table 423, 424 Calculating probability from two-way table 358 Surface area and volume of a cube 584, 568 Comparing fractions 60 Finding percentages from a ratio 330, 75 Estimating calculations 131 Special offer problems 752 Calculating the probability of multiple events 359 Sharing in a ratio 332 Direct proportion, recipes 741 Estimating calculations 131 Calculations with decimals, writing in standard form 48, 50, 122, 125 Adding fractions 66 Calculating negative indices 104 Prime factorisation 30 Setting up and solving equations, writing a ratio 188, 328 Finding angles on parallel lines 480, 481, 482, 483, 485 Area of circles and rings 539, 543 Mean from a grouped frequency table 418 Choosing an appropriate average 413 Writing and solving equations 188, 184, 178, 179 Drawing quadratic graphs 251 Reverse percentages 96

2 Paper 2 Foundation Revision List Convert fractions to decimals 73 Multiple of a number 33 Simplify expressions with multiplying 158 Indices with algebraic expressions 173 Simplify expressions by factorising 170 Mass conversion word problem 697 Mass conversion word problem 697 Conversion and reasoning 697 One number as a fraction of the total 62 Draw a pie chart 427 Fraction from a ratio 330 Ratio from a fraction 330 Prime numbers 28 Critique a time series graph 450 Interpret a time series graph 450 Use a scale to calculate a real distance Measure bearings 492 Area of a triangle 553, 557 Classify 2D shapes Compare quantities using ratios and simplifying 328, 329 Complete a frequency tree 368 Probability from a frequency tree 368 Income and rates of pay 51 Direct algebraic proof - giving an example 325 Direct algebraic proof 325 Compound Measure & Percentage Increase 90 Solve equations with x on both sides 185 Percentage change 97 Circumference 534 Mean 405 Ratio and probability 330, 351 Rotate a shape around the origin 648 Translate a shape using a vector 638 Index rules - multiplying 105 Index rules - power of a power 107 Powers of 10, index rules 105, 107, 121 Pythagoras theorem, right angle trigonometry 499, 512, 514 Complex calculations with a calculator 129 Round to 2 decimal places 56 Solve a quadratic equation using inverse operations 234 Expand double brackets 164 Factorise a quadratic expression 223

3 Paper 3 Foundation Revision List Round to the nearest Collect like terms 156 Find the factors of a number 27 Money problems, best buys 752, 771, 772 Convert time prblems 711 Convert volume/capacity 699 Complete a pictogram 426 Calculating angles in a triangle 485, 486 Estimsting height from a scale diagram Prime numbers, square numbers 28, 99 Dividing fractions, fraction of a number 70, 77 Special offer question, percentage decrease 88, 90 Direct proportion 341 Complete a table of values for a straight line graph 206 Draw a straight line graph from a table 206 Read x and y values from a graph 206 Describe a transformation 652 Ratio word problem 331, 333 Length conversion, direct proportion 339 Interpreting solutions Factorise a simple expression 168 Identify expressions, equations, identities and formulae 154 Linear sequences from pictures, finding the nth term 196, 198 Determine whether a term is in a linear sequence 198 Median from a grouped frequency table 416 Drawing a frequency polygon 441 Metric and imperial conversion, direct proportion 341 Calculate volume given density and mass Share in a given ratio - finding the total 333 Find the reciprocal of a number 71 Error intervals, upper and lower bounds 137 Algebra and perimeter, area of compound shapes 552, 555 Multiply numbers in standard form 125, 123 Experimental probability and accuracy 356 Calculate experimental probability 356 Solve 2 linear simultaneous equations 193, 194

4 Paper 1 Higher Revision List Prime factorisation 30 Setting up and solving equations, writing a ratio 188, 328 Finding angles on parallel lines 480, 481, 482, 483, 485 Area of circles and rings 539, 543 Mean from a grouped frequency table 418 Choosing an appropriate average 413 Writing and solving equations 188, 184, 178, 179 Drawing quadratic graphs 251 Comparing decimals 46 Speed problem solving 723 Calculating unit fraction powers 108 Calculating fractional powers 109 Set up and solve simultaneous equations 195 Drawing a box plot 434 Comparing box plots 436 Proportion, fractions of amounts 77, 339 Upper and lower bounds, simple probability 137, 351 Writing ratios in form n:1, rearranging formulae 331, 286 Converting recurring decimals into fraction 54 Algebraic direct proportion 344 Proof 325, 326 Enlargement with negative, fractional scale factor 645, 646 Equations of perpendicular lines, finding points on a line 200, 210, 216 Exact values of cos, solving simultaneous equations 306, 195 Rationalising the denominator 119 Similar triangles, problem solving 611, 614 Set up and solve quadratic inequalities 277

5 Paper 2 Higher Revision List Question Title HegartyMaths Clip Number Red Amber Green Solve equations with x on both sides 185 Percentage profit 760 Circumference 534 Mean 405 Ratio and probability 330, 351 Rotate a shape around the origin 648 Translate a shape using a vector 638 Index rules - multiplying 105 Index rules - power of a power 107 Powers of 10, index rules 105, 107, 121 Pythagoras theorem, right angle trigonometry 499, 512, 514 Complex calculations with a calculator 129 Rounding to 2 decimal places 56 Inverse proportion 342 Interpreting distance-time graphs 0 Calculating speed from Distance-time graph 0 Interpreting pie charts, ratio and proportion 330, 429, 539 Interior angles in a polygon, angles in an isosceles triangle 562, 486 Compound interest 94 Compound interest - finding the rate 94 Linear inequalities as graph regions 275 Product rule for counting 671 Product rule for counting 673 Solving equations by completing the square 238 Drawing a histogram 446 Interpreting a histogram 447 Recurrence relation, percentage/decimal multiplier 262, 89 Calculating gradient, gradient of parallel lines 203, 214 Circle theorems, right angled trigonometry, area of a sector, area of a triangle 599, 600, 509, 546, 557 Conditional probability 365 Conditional probability 365 Functions - substitution, inverse functions, simultaneous equations 288, 295, 191 Geometric sequences, expand brackets with surds, solving an equation 264, 116 Geometric sequences, expand brackets with surds 264, 116

6 Paper 3 Higher Revision List Question Title HegartyMaths Clip Number Red Amber Green Median from a grouped frequency table 416 Draw a frequency polygon 441 Metric and imperial conversion, direct proportion 341 Calculate volume given density and mass 729 Share in a given ratio - finding the total 333 Find the reciprocal of a number 71 Error intervals, upper and lower bounds 137 Algebra and perimeter, area of compound shapes 552, 555 Multiply numbers in standard form 125, 123 Experimental probability and accuracy 356 Calculate experimental probability 356 Exponential model, compound interest 94 Compound interest, finding rate 94 Mutually exclusive events 354 Calculate the total items given probability 52, 61, 352 Use a cumulative frequency graph to estimate median 438 Use a cumulative frequency graph to find and interpret range 438 Use a cumulative frequency graph to test a claim involving a percentage 438 Independent events and probability trees, expectation 361, 355 Complete the square 235 Calculate the volume of a shape using similar shapes and ratios 621 Use substitution to show there is a solution between two x values 322, 278 Rearrange an equation to match the format of the iteration formula 322 Use iteration formula to find an estimate for the solution 322 Comment on the accuracy of the solution 322 Calculate the upper and lower bounds of calculations 139 Area of a triangle (1/2absinC), cosine rule, sine rule 518, 527, 521 Estimate the area under a curve using trapezium rule Interpret estimate as an overestimate or underestimate Use simultaneous equations to determine whether a line is tangent to a circle 319 Use angle facts to prove a circle theorem 478, 486, 487 Solve geometrical problems using vectors 636

CAMBRIDGE IGCSE MATHS EXAMINATION BOARD COVERAGE

CAMBRIDGE IGCSE MATHS EXAMINATION BOARD COVERAGE TIER TOPIC HEADING SUB HEADING Both Number Integers Ordering numbers Both Number Integers Rounding numbers Both Number Integers Adding and subtracting whole